can someone please help me+explain how to do this step by step, im so confused

Your gross income is $4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. What is the total amount of your emergency fund? How much is in the CD and savings account? How much is the total interest earned between both accounts in 60 days?

Answers

Answer 1

1. The total amount of your emergency fund will be $11,403.75.

2. $8,552.81 is in the CD, and $2,850.94 is in the regular savings account.

What is the total amount of your emergency fund?

Your FICA deduction is 7.65% of your gross income:

7.65% of $4,520.00 = $345.98

Your federal tax withholding is 11.75% of your gross income:

11.75% of $4,520.00 = $531.40

Your state tax withholding is 8.5% of your gross income:

8.5% of $4,520.00 = $384.40

Your total deductions are:

= $345.98 + $531.40 + $384.40

= $1,261.78

Your monthly income after deductions is:

= $4,520.00 - $1,261.78

= $3,258.22

Your fixed expenses are 30% of your realized income:

= 30% of $3,258.22

= $977.47

Your monthly savings amount is:

= $3,258.22 - $977.47

= $2,280.75

You saved 5 months' worth in an emergency fund, so the total amount in your emergency fund is:

= 5 x $2,280.75

= $11,403.75

Regenerate response

How much is in the CD and savings account?

You placed 75% of your emergency fund in a 60-day CD at a 5.25% APR:

= 75% of $11,403.75 = $8,552.81

You placed the remaining 25% of your emergency fund in a regular savings account at a 3.8% APR:

= 25% of $11,403.75

= $2,850.94.

Read more about emergency fund

brainly.com/question/5833061

#SPJ1


Related Questions

50 Points! Multiple choice algebra question. If r(x)=x^3-2x+1, find r(2a^3). Photo attached. Thank you!

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. [tex]8a^{9} -4a^{3} +1[/tex]

Step-by-step explanation:

Given [tex]r(x)=x^{3} -2x+1[/tex] and find [tex]r(2a^{3} )[/tex] :

[tex]r(2a^{3} )[/tex] is the same as saying [tex]x=2a^{3}[/tex]So, we have [tex]r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1[/tex]

Solve for [tex]r(2a^{3} )[/tex] :

1. [tex]r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1[/tex]

Start with simplifying [tex](2a^{3})^{3}[/tex][tex](2a^{3})^{3}=2^{3}*(a^{3})^{3}=8*a^{3*3}=8a^{9}[/tex]When you have a quantity raised to a power, or an exponent, you have to distribute the exponent to each term multiplied.When you multiply two terms that are raised to a power, you add the powers.When you divide two terms that are raised to a power, you subtract the power in the numerator from the power in the denominator.When you have a power raised to a power, you multiply the powers.

2. [tex]r(2a^{3} )=8a^{9} -2(2a^{3})+1[/tex]

Simplify [tex]2(2a^{3})[/tex]Multiply two times the quantity[tex]2(2a^{3})=4a^{3}[/tex]

3. [tex]r(2a^{3} )=8a^{9} -4a^{3}+1[/tex]

Answer:

So, if [tex]r(x)=x^{3} -2x+1[/tex], then [tex]r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1[/tex].

Then the answer is D. [tex]r(2a^{3} )=8a^{9} -4a^{3}+1[/tex]

a small bag of flour weighd 20 ounces. a large bag was 19 percent heavier how much does the large bag weigh

Answers

Answer:

380 weight

Step-by-step explanation:

please brilliant answer me

Find the area and perimeter of the parallelogram. (Hint: Don't forget your units!)
7 cm
8 cm
4 cm

Answers

The area and perimeter of the parallelogram are: 56 square units and 30 units respectively

What is a parallelogram?

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The parameters that will help us do the math are

base = 7

height = 8

Area = 8*7 = 56 square units

perimeter 2b + 2h

perimeter = 2*7 + 2*8

= 14 +16

P = 30 units

Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units

Learn more about a parallelogram on https://brainly.com/question/29147156

#SPJ1

7. A group of students wants to demonstrate that sunlight provides the energy for plants to grow. What is
the control group for the experiment?
A. Some plants will receive less water
B. Some plants will receive fertilizer
C. Some plants will receive no sunlight
D. Some plants will receive no water
I

Answers

The control group for the experiment would be option C: some plants will receive no sunlight.

What is control group for experiment ?

The control group in an experiment is the group that does not receive the treatment or intervention being tested, so that the effects of the treatment can be compared to a baseline or reference point. In this experiment, the treatment being tested is the provision of sunlight as an energy source for plant growth.

Therefore, the control group should not receive sunlight, so that the effects of sunlight can be compared to the baseline of plant growth without sunlight.

Therefore, the control group for the experiment would be option C: some plants will receive no sunlight.

Learn more about control group here : brainly.com/question/24163400

#SPJ1

Triangle ABC with vertices at A(−4, −4), B(8, 8), C(2, 6) is dilated to create triangle A′B′C′ with vertices at A′(−2, −2), B′(4, 4), C′(1, 3). Determine the scale factor used.

2
one half
4
one fourth

Answers

Answer: there all divided by 2

so it's 2


An investment opportunity is offering an annual interest rate of 12% compounded continuously.
How much should you invest initially if you want to have fifteen thousand dollars after nine years?
Do not include a dollar sign in your answer. Round your answer to the nearest cent.
I

Answers

Answer:

data given

interest rate 12%

amount to be received 15ooo

time9years

Step-by-step explanation:

from

A=p[1+r/100]^n

where

A is amount

p is principal

r is rate interest

n number of interist period

now,

15000=p[1+12/100]^8

15000/1.12^8 =p×1.12^8/1.12^8

p=6058.24

p=6058)

: .you should invest 6,058

The amount to be invested initially if you want to have fifteen thousand dollars after nine years is $3947.18.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that:

A=15000

r=0.12

t=9

We need to find P. You can do this by rearranging the formula:

P=ertA​

Then plug in the given values and use a calculator:

P=e0.12×915000​

P≈3947.18

Therefore, by the given interest rate the answer will be $3947.18.

Learn more about compound interest here:

https://brainly.com/question/1329401

#SPJ2

Find the volume of a cone with a base diameter of 12cm and a height of 12cm

Answers

Answer: 1809.6

Step-by-step explanation: I got to be honest is looked up the cone calculator and I tried 3 three and they all go me 1809.6 (rounded)

the equation for a projectile's height versus time is h(t)=-16t^2+v0t+h0 a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per second. what is the maximum height, in feet, the ball will attain?

round to the nearest whole foot

Answers

Therefore, the maximum height the ball will attain is 221.875 feet.

We are given the equation for the height of a projectile as a function of time:

[tex]h(t) = -16t^2 + v0t + h0[/tex]

where v0 is the initial velocity, h0 is the initial height, and t is the time. We are also given that a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per second. Therefore, we can plug in the values of v0 and h0 into the equation:

[tex]h(t) = -16t^2 + 120t + 2[/tex]

To find the maximum height, we need to find the vertex of this parabola. The x-coordinate of the vertex is given by:

[tex]t = -b/2a[/tex]

where a = -16 and b = 120. Substituting these values, we get:

[tex]t = -120/(2(-16)) = 3.75 seconds[/tex]

To find the corresponding maximum height, we can plug this value of t back into the equation:

[tex]h(3.75) = -16(3.75)^2 + 120(3.75) + 2 = 221.875 feet[/tex]

Therefore, the maximum height the ball will attain is 221.875 feet.

To know more about height visit:

https://brainly.com/question/10726356

#SPJ1

The Chicago white Sox had a home record of 53-28 in the 2021 season. How would you interpret this?

Answers

The interpretation of the Chicago white sox data is shown below

Interpreting the Chicago data

The record 53-28 for the Chicago White Sox in the 2021 season means that they won 53 games and lost 28 games in the home games they played during the season.

This record indicates that the White Sox were a strong team at home, winning more games than they lost.

It also suggests that they had a good advantage playing in their home stadium, as winning a high percentage of home games is generally seen as a positive factor in sports.

Read more about data and variable at

https://brainly.com/question/25223322

#SPJ1

Please help I’m confused

Answers

The rational inequality f(x) > 0 has the solution x > - 7

What is a rational inequality?

A rational inequality is an inequality in the form of a fraction

Given the function f(x) = (x + 7)/(x² - 4x + 3)

To find the value of x for which the function f(x) > 0, we proceed as follows

Given that f(x) > 0

So, this means that

(x + 7)/(x² - 4x + 3) > 0

This implies that

x + 7 > 0

Subtracting 7 from both sides, we have that

x + 7 - 7 > 0 - 7

x + 0 > - 7

x > - 7

So, f(x) > 0 has the solution x > - 7

Learn more about rational inequalities here:

https://brainly.com/question/31330627

#SPJ1

f(x) = 4(1+ 0.1/0.5)^0.5x is

Answers

Answer:

f(x) = 4(1.095)^x.

Step-by-step explanation:

The function f(x) = 4(1+0.1/0.5)^0.5x can be simplified using the order of operations, which is PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction).

First, we can simplify 0.1/0.5 to get 0.2.

Next, we can simplify (1 + 0.2) to get 1.2.

Then, we can simplify (1.2)^0.5 to get approximately 1.095.

Finally, we can multiply 4 by 1.095^x to get the simplified function:

Please help with the answer!

Answers

Answer:

Step-by-step explanation:

2.1 so a

PLEAE HELP ME!!! I need this quickly!

Find the exact value of the expressions cos(alpha + beta) sin(alpha + beta) and tan(alpha + beta) under the following conditions. sin(alpha) = 24/25 a lies in quadrant I, and sin(beta) = 15/17 B lies in quadrant II.

Answers

We can use the trigonometric identities to find the exact values of the expressions.

First, we can find cos(alpha) and cos(beta) using the Pythagorean identity:

cos(alpha) = sqrt(1 - sin^2(alpha)) = sqrt(1 - (24/25)^2) = 7/25

cos(beta) = -sqrt(1 - sin^2(beta)) = -sqrt(1 - (15/17)^2) = -8/17 (since beta is in quadrant II, where cosine is negative)

Next, we can use the sum formulas for sine and cosine to find sin(alpha + beta) and cos(alpha + beta):

sin(alpha + beta) = sin(alpha)cos(beta) + cos(alpha)sin(beta) = (24/25)(-8/17) + (7/25)(15/17) = -117/425

cos(alpha + beta) = cos(alpha)cos(beta) - sin(alpha)sin(beta) = (7/25)(-8/17) - (24/25)(15/17) = -24/85

Finally, we can use the quotient identity for tangent to find tan(alpha + beta):

tan(alpha + beta) = sin(alpha + beta) / cos(alpha + beta) = (-117/425) / (-24/85) = 39/85

Therefore, cos(alpha + beta) sin(alpha + beta) = (-24/85)(-117/425) = 936/7225, and tan(alpha + beta) = 39/85.

A piece of nickel has a mass of 130g and a density of 8.90 g/em. A 60g piece of magnesium has a density of 1.78/cm' Which metal would displace more water form an overflow can?

Answers

Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

To determine which metal would displace more water from an overflow can

We need to compare their volumes.

We can use the formula:

Density = mass / volume

To solve for volume, we rearrange the formula:

Volume = mass / density

For nickel:

Volume = 130g / 8.90 g/cm³ = 14.61 cm³

For magnesium:

Volume = 60g / 1.78 g/cm³ = 33.71 cm³

Therefore, Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

Learn more about Density here : brainly.in/question/2786638

#SPJ1

1. Suppose c = -11 + 3i. What two nonzero complex numbers could have been
added together to make c?
2. Find the value of iº.

Answers

Answer: To find two complex numbers that add up to c = -11 + 3i, we can set up the following system of equations:

a + b = -11

ai + bi = 3i

Solving for a and b, we can multiply the first equation by i and subtract it from the second equation multiplied by -1 to eliminate b:

ai + bi = 3i

-ai - bi = 11i

0 + 10bi = 14i

Simplifying, we get b = 1.4. Substituting this into the first equation gives:

a + 1.4 = -11

a = -12.4

So the two complex numbers that add up to c are -12.4 + 1.4i and 1.4i.

To find the value of iº, we need to evaluate i raised to the power of 90 degrees (or pi/2 radians) using Euler's formula:

e^(iθ) = cos(θ) + i sin(θ)

So we have:

iº = i^(90°) = e^(iπ/2) = cos(π/2) + i sin(π/2) = 0 + i(1) = i

Therefore, iº = i.

Step-by-step explanation:

what is the answer to this equation?
7/10 divided by 1/3

Answers

Answer:

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.

So, 7/10 divided by 1/3 can be written as:

(7/10) ÷ (1/3) = (7/10) x (3/1)

Multiplying the numerators and denominators, we get:

(7 x 3) / (10 x 1) = 21/10

Therefore, the answer is 21/10, which is an improper fraction. We can simplify it to a mixed number by dividing the denominator into the numerator.

21 ÷ 10 = 2 with a remainder of 1, so the mixed number is:

= 1 1/10

Hence, the answer is 1 1/10 or 11/10.

Step-by-step explanation:

7/10  /  (1/3)   is equal to   7/10  *  3/1   =  (7*3) / (10*1) = 21/10 = 2  1/10

Explain what the constant of proportionality means in the equation y = 5/2 x

Answers

Answer:

[tex]y = \frac{5}{2} x[/tex]

[tex] \frac{y}{x} = \frac{5}{2} [/tex]

The constant of proportionality is the ratio of y to x. Here, the ratio of y to x is 5 to 2. We see that y is directly proportional to x.

He makes 8.50 an hour plus 3 every oil change that he performs last week he worked 36hours n performed 17 oil changes how much money did he make

Answers

Answer:

$357

Step-by-step explanation:

Hours = h

Oil changes = o

Money = m

m = 8.5h + 3o

Now we can substitute:

m = 8.5(36) + 3(17)

m = 306 + 51

m = 357

If P = 3x² - x + 2 and Q = x² + 5x - 6, then P+ Q =

Answers

Answer:

Step-by-step explanation:

If P = 3x² - x + 2 and Q = x² + 5x - 6, then P+ Q =  3x² - x + 2 + x² + 5x - 6 =

4x^2 +4x - 4

D = 16 + 64 = 80

x12 = [tex]\frac{-4+-\sqrt{80} }{8}[/tex]


Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.

Answers

10% extra of £5 = 110% of £5 = 1.1 x £5 = £5.50

25 x £5 = £125
16 x £5.50 = £88

£125 + £88=£213

Answer: £213 (I think)

(I may well be wrong and I’m so sorry if I am)

if the pink lines are parallel, solve for n

Answers

The option that is true about the equations for these two lines iis that they represent the same lines.

How to explain the information

The trick to questions like this is to get both equations into the slope-intercept form.  That is done for our first equation (y = 3x + 5).  However, for the second, some rearranging must be done:

5y – 25 = 15x; 5y = 15x + 25; y = 3x + 5

Note: Not only do these equations have the same slope (3), they are totally the same; therefore, they represent the same equation.

Learn more about equations on;

https://brainly.com/question/22688504

#SPJ1

Two lines are described by the equations:

y = 3x + 5 and 5y – 25 = 15x

Which of the following is true about the equations for these two lines?They represent perpendicular lines.

None of the other answers

They represent non-perpendicular, intersecting lines.

They represent the same lines.

They represent parallel lines.

What is the approximate distance from the origin to the point (-2, -7, -4)? Round to the nearest tenth
O 3.6 units
O 7.6 units
O 8.3 units
O 9.4 units

Answers

The approximate distance from the origin to the point (-2, -7, -4) is 8.3 units.

Distance between two points formula:

In three-dimensional space, the distance formula is used to calculate the distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in a three-dimensional coordinate system.

The formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

Here we have

The point (-2, -7, -4)

We need to find the distance between the origin to the point

Let (x₁, y₁, z₁) = (-2, -7, -4) and (x₂, y₂, z₂) = (0, 0, 0)

Using the distance formula,

d = √ [(x₂ - x₁)² + (y₂ - y₁)²+ (z₂ - z₁)² ]

d = √ [(0 - (-2))² + (0 - (-7))²+ (0 - (-4))² ]

d = √ [(2)² + (7)²+ (4)² ]

d = √ [4 + 49 + 16 ]

d = √69 = 8.3066

d = 8.3

Therefore,

The approximate distance from the origin to the point (-2, -7, -4) is 8.3 units.

Learn more about Distance at

https://brainly.com/question/661229

#SPJ1

A patient takes 110 mg of a drug at the same time every day: Just before each tablet is taken, 5% of the drug present in th
preceeding time step remains in the body. What quantity of the drug remains in the body in the long run?
Hint: First find the quantity of drug present in the body after the second tablet, third tablet, etc to generalize the sequenc
formula for the nth tablet. Then use that sequence to predict the drug remains in the long run.

Answers

The requried quantity of drug that remains in the body, in the long run, is 220 mg.

Let's denote the amount of drug in the body just before taking the nth tablet by [tex]D_n[/tex]. We know that [tex]D_0 = 0[/tex](since the patient hasn't taken any tablets yet) and that 5% of the drug is present in the body just before taking a tablet remains in the body. Therefore, we can write:

[tex]D_1 = 110\\D_2 = 0.95 * D_1 + 110 = 203.5\\D_3 = 0.95 * D_2 + 110 = 292.225\\D_4 = 0.95 * D_3 + 110 = 376.81375[/tex]

We can see that the formula for [tex]D_n[/tex] is:

[tex]D_n = 110 * (1 - 0.05)^n + 110 * (1 - (1 - 0.05)^n) / 0.05[/tex]

Simplifying this formula, we get:

[tex]D_n = 220 * (1 - 0.95^n)[/tex]

Now, we want to find the amount of drug that remains in the body in the long run. This means we want to find the limit of [tex]D_n[/tex]  as n goes to infinity. Using the formula above, we can see that:

[tex]lim_ {n- > oo} D_n = lim_ {n- > oo} 220 * (1 - 0.95^n) = 220[/tex]

Therefore, the quantity of drug that remains in the body, in the long run, is 220 mg.

Learn more about sequence here:

https://brainly.com/question/30262438

#SPJ1

Find the slope of the line tangent to the graph of the function at the given value of x.
y = x4 + 2x3 + 2x + 2 at x = -3

Answers

Answer:

To find the slope of the line tangent to the graph of the function at x = -3, we need to find the derivative of the function and evaluate it at x = -3.

First, let's find the derivative of the function y = x^4 + 2x^3 + 2x + 2:

y' = 4x^3 + 6x^2 + 2

Now, let's evaluate y' at x = -3:

y'(-3) = 4(-3)^3 + 6(-3)^2 + 2

= -108 + 54 + 2

= -52

Therefore, the slope of the line tangent to the graph of the function y = x^4 + 2x^3 + 2x + 2 at x = -3 is -52.

what is the percent of decrease from 8 to 6

Answers

The calculated value of the percent of decrease from 8 to 6 is 25%.

What is the percent of decrease from 8 to 6

To find the percent of decrease from 8 to 6, we need to find the difference between the two numbers and express it as a percentage of the original number (8).

The difference between 8 and 6 is 8 - 6 = 2.

To express this difference as a percentage of 8, we can use the formula:

percent decrease = (difference / original number) x 100%

Substituting the values we get:

percent decrease = (2 / 8) x 100% = 0.25 x 100% = 25%

Therefore, the percent of decrease from 8 to 6 is 25%.

Read more about percent change at

https://brainly.com/question/11360390

#SPJ1

What is the perimeter of the triangle?

Answers

Answer:

40 units

Step-by-step explanation:

a = 8

b = 15

To find c, we can use the formula: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]8^{2} +15^{2} =x^{2}[/tex]

64 + 225 = c^2

289 = c^2

c = 17

a + b + c = perimeter

8 + 15 + 17 = 40

Answer:

  40 units

Step-by-step explanation:

You want the perimeter of the triangle shown in the graph.

Dimensions

You can count the grid squares to find the horizontal and vertical dimensions of the triangle. You find they are 8 units and 15 units, respectively.

The length of the slant side is the hypotenuse of a right triangle with sides 8 and 15. If you don't recognize this {8, 15, 17} Pythagorean triple, you can find the hypotenuse using the Pythagorean theorem:

  c² = a² +b²

  c² = 8² +15² = 64 +225 = 289

  c = √289 = 17

The long side of the triangle is 17 units.

Perimeter

The perimeter of the triangle is the sum of the lengths of its sides:

  P = 8 + 15 + 17 = 40

The perimeter is 40 units.

__

Additional comment

A "Pythagorean triple" is a set of three integer side lengths that form a right triangle. The triple is "primitive" if the numbers have no common factor. There are a few Pythagorean triples that regularly show up in algebra, trig, and geometry problems. Some of them are ...

  {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}

You will also see multiples of these, for example, 2·{3, 4, 5} = {6, 8, 10}.

The smallest is {3, 4, 5}, and it is the only set that is an arithmetic sequence (has constant differences between lengths). In every case, the sum of the numbers is even. (A right triangle cannot have integer side lengths and an odd perimeter value.)

What does a residual value of –0.8 mean in reference to the line of best fit?

The given point is 0.8 units above the line of best fit.
The given point is 0.8 units below the line of best fit.
The line of best fit is not appropriate to the data.
The line of best fit has a slope of 0.8.


Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?

y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723

Answers

Answer: A residual value of –0.8 means that the given point is 0.8 units above the line of best fit.

The equation that represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page is:

y = –38x + 922.

Therefore, the answer is y = –38x + 922.

Step-by-step explanation:

the united states has approximate population of 3.3 x 108 people. Each person in the united states consumes an average of about 14,000 grams of rice per year. how much rice in grams, does the population of the U.S consume each year?

Answers

the population of the U.S consumes approximately [tex]4.62 * 10^{12}[/tex] grams of rice each year.

What is marginal utility?

The additional pleasure a consumer has from owning one extra unit of an item or service is known as marginal utility.

We can calculate the total amount of rice consumed in the U.S per year by multiplying the population by the amount of rice consumed per person per year:

Total amount of rice consumed = (Population of the U.S) x (Amount of rice consumed per person per year)

Total amount of rice consumed = [tex](3.3* 10^8) * (14,000)[/tex]

Total amount of rice consumed = [tex]4.62* 10^{12} grams[/tex]

Therefore, the population of the U.S consumes approximately [tex]4.62 * 10^{12}[/tex] grams of rice each year.

To know more about marginal utility visit,

https://brainly.com/question/28449010

#SPJ1

Suppose that the function h is defined as follows.
if
-2
-1
h(x)= 0
1
2
Graph the function h.
-3.5 if-2.5 if-1.5 if -0.5 if 0.5 ≤x≤1.5
+
X
Ś

Answers

The required graph of the function given; h (x) has been attached.

Define a graph?

In mathematics, graph theory is the study of graphs, which are mathematical structures used to represent pairwise interactions between objects. In this definition, a network is made up of nodes or points called vertices that are connected by edges, also called links or lines. In contrast to directed graphs, which have edges that connect two vertices asymmetrically, undirected graphs have edges that connect two vertices symmetrically. Graphs are one of the primary areas of study in discrete mathematics.

Here as per the question the graph of the function, h (x) has been attached.

To know more about graphs, visit:

brainly.com/question/17267403

#SPJ1

4. The elevation at ground level is 0 feet. An elevator starts 80 feet below ground level. After
traveling for 20 seconds, the elevator is 30 feet below ground level. Which statement describes
the elevator's rate of change in elevation during this 20-second interval?
A. The elevator traveled upward at a rate
1 rate of 2½ feet per second.
B. The elevator traveled downward at a rate of 2 feet per second.
C. The elevator traveled upward at a rate of 4 feet per second.
D. The elevator traveled downward at a rate of 4 feet per second.
a

Answers

Answer:

[tex]m = \frac{ - 30 - ( - 80)}{20 - 0} = \frac{50}{20} = 2 \frac{1}{2} [/tex]

A. The elevator traveled upward at a rate of 2 1/2 feet per second. -30 > -80.

Other Questions
DHL company has issued 2 million ordinary shares and 1 million cumulative preference shares. The preference shares pay a fixed dividend of $5 per share. In 2019 the company made a loss and did not pay any dividends. In 2020 they returned to profitability and declared that there was a total of $25 million available to be paid as dividends. What will the ordinary dividend be in 2016? YOU WILL GET 100 POINTS IF YOU ANSWER ASAPexcerpt from Inaugural Addressby John F. KennedyJohn F. Kennedy delivered this speech in 1961 at the start of his term as US president. In this excerpt, he is speaking about tensions between the United States and its main rival, the Soviet Union.But neither can two great and powerful groups of nations take comfort from our present courseboth sides overburdened by the cost of modern weapons, both rightly alarmed by the steady spread of the deadly atom, yet both racing to alter that uncertain balance of terror that stays the hand of mankind's final war.So let us begin a newremembering on both sides that civility is not a sign of weakness, and sincerity is always subject to proof. Let us never negotiate out of fear. But let us never fear to negotiate.Let both sides explore what problems unite us instead of belaboring those problems which divide us.Let both sides, for the first time, formulate serious and precise proposals for the inspection and control of armsand bring the absolute power to destroy other nations under the absolute control of all nations.Let both sides seek to invoke the wonders of science instead of its terrors. Together let us explore the stars, conquer the deserts, eradicate disease, tap the ocean depths, and encourage the arts and commerce.Select the correct answer.What effect does the repetition of the word both have on the meaning of this text? A. It encourages unity between nations. B. It argues for the superiority of the United States. C. It explains the causes of the conflict between groups. D. It describes the differences between groups. Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nicks credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.)a.$619.68b.$267.50c.$1,609.57d.$1,070.00 The effectiveness of magazine advertising is reduced by itsA) inflexibility.B) inability to target specific markets.C) brief life span.D) higher total cost, relative to television advertising. NOTE: You are to identify a small business owner or manager to interview. The person should have started and/or currently manage a small business (less than 100 employees). This person may not be a member of your family. Let the person know you are interviewing them for a college class on Small Business Management.PLEASE MAKE SURE TO PUT THE NUMBER OF THE QUESTION BESIDE ITS ANSWER, PLEASE ANSWER ALL THESE QUESTIONS CORRECTLY AND DO THEM ASAP. I WOULD REALLY APPRECIATE IT. PLEASE TALK ABOUT ORGANIZATIONS IN THE USA.Use the following format to write your paper. Use these headings and include the items in each section.1. Introduction and Purpose: Name and title of person, contact information, size of the organization, number of employees managed (if any), tenure in job, education, brief career path, organization, why you chose the person.2. Entrepreneurial History: How did you become a small business owner/manager? Was it on purpose or by accident? Did you have any special training? Do you participate in ongoing training/education? What do you consider to be your strengths? What do you consider to be your weaknesses?3. General Management Questions: What is your favorite part of your job as a small business owner/manager? Why? What is your least favorite part of your as a small business owner/manager? Why? How do you motivate yourself? How do you motivate others? (if applicable)4. Functional Business Questions: What form does your business take? (sole proprietorship, partnership, corporation) How do you approach marketing? What is your target market? Do you advertise in-house or use a third party? Can you describe a recent advertising strategy that you used? How do you price your products or services? How do you manage inventory? How would you describe business ethics in your firm? How do you handle financing your business? How do you handle the accounting function? How do you handle the management of employees? (delegate or do it yourself) How do you handle human resource management? (hiring, firing, staffing, training) What is your approach to customer service? How do you manage supply and demand in the marketplace? Does your business have any unique policies? What do you consider to be your competitive advantage in the marketplace? Ask the person to elaborate on any of these areas if they choose another area. You may choose to ask follow-up questions on a topic if interested.5. Other Questions: What is the best piece of career advice you were given? What advice would you give to college students today? What is the hardest lesson you have learned in the workplace? Do you have a mentor? If yes, how did you choose your mentor? Feel free to add other questions here.6. Conclusion: Wrap up your thoughts about what you have learned. Describe how you feel the interview went. Is there anything you would have done differently if given another chance? How can you use this information going forward in your own career? Add other thoughts you have here. You are given the choice between two mutually exclusive projects (8 points) Project A $20,000 initial investment $6,000 a year NCF for 6 years Project B $25,000 initial investment $5,300 a year in NCF for years if the cost of capital is 0%, which project should you select if you will need this capacity for the indefinite future. Explain the basis for your decision. A number one is not sufficient A client calls the primary care clinic reporting diarrhea for 4 days and a low-grade fever. What instruction is most important for the nurse to give to the client?a) Encourage client to eat bulk-forming foods such as whole grain bread.b)Encourage rest, fluids, and acetaminophen for the feverc)Make an appointment for the client with the health care provider todayd)Take 2 tablets of loperamide followed by 1 tablet after each loose stool which of the following statements about the r programming language are correct? select all that apply. 1 point it can create world-class visualizations it makes analysts spend more time cleaning data and less time analyzing it relies on spreadsheet interfaces to clean and manipulate data it can process large amounts of data What is the mass m of the elevator? use g=10m/s2 for the magnitude of the acceleration of gravity Why did the U.S. government decide not to take action when South Carolina first seceded from the Union?What happened later that ultimately resulted in an armed conflict? What did President Lincoln do to try to avoid this conflict? given the following enumerated data type definition, what is the value of sat? enum mytype{sun,mon,tue,wed,thur,fri,sat,numdays}; 2. A cable hangs in a curve that is symmetrical with respect to the y-axis. The tension, T (in Newtons) of thecable at a point x metres from the y-axis is given by T = 200 (e^x/10 + e^-x/10). Find the maximum andminimum tension if the cable extends from x = 10 to x = -10 metres. This is a VHL assignment and these are supposed to be typed responses. Here is the picture to the reading with the information to answer the questions below. How often is the World Cup played?Where is it held?What is the name of the major sporting event for soccer? What are the two major teams (and cities) that rival in Spain? What other aspects intensify the rivalry between the two cities?What has Barcelona been trying to do politically? What other language is spoken in Spain?What happens in Madrid or Barcelona when their team wins a match? venus corp. is a large corporation with several divisions. venus has a goal to increase the profitability of the corporation by 15 percent over the next five years, with the understanding that this is an overall corporate goal, and that there will be variance in growth among the divisions. the top managers and board of directors are discussing resource allocation, priorities, and the action steps needed to meet this goal. the plan that these managers create would be a(n) plan. how many atoms are in 4(NH3)2NO2? PLEASE HURRY, I DONT HAVE A LOT OF TIME!!! PLEASE HURRY!!Read "Sonnet: Written on My Birthday" by Thomas Oldham. Then, respond to the prompt that follows.Again has Time his annual circle run,And April ushers in my natal day:Since first my infant eyes beheld the sun,How many a year has swiftly roll'd away!Full half my thread of life the Fates have spun;What various colours does the web display!Some dark, some brighter; ere the work be doneThe sadder hues will overshade the gay.Yet not to Melancholy will I yield;Against Despondency and DiscontentStill Fortitude and Hope shall keep the field;Swerving from thee, O Virtue! I repent;Now! to repel Temptation I am steel'd;To follow thee I'm resolutely bent.In a well-developed paragraph of at least five sentences, discuss how the poem's meaning is connected to the poet's choice of form.Identify the poem as a sonnet or a villanelle.Explain how the form, rhyme scheme, and other traits affect the poem's meaning.Describe the tone of the poem and provide textual support.Use academic language in your response. how much work, in kj, can a spring whose spring constant is 13 kn/cm produce after it has been compressed 3 cm from its unloaded length? A tidal wave caused by an earthquake off the Alaskan coast begins running toward Carmel, California. The water first goes down from its normal level, and then rises an equal distance above its normal level; the water then returns to normal. Assume that the depth of the water varies sinusoidally with time as the wave passes. Suppose the wave, with a period of 20 minutes and an amplitude of 12 meters, approaches a dock in Carmel where the normal depth is 8 meters. Other things equal, the real interest rate and the level of investment are:A. related only when saving equals planned investment.B. unrelated.C. inversely related.D. directly related. A retail manager constructs a 95% confidence interval to estimate the mean amount of money each customer spends per visit to the retail store. Assume that all conditions have been met. The one-sample t-interval is ($10.53, $31.89). The owner of the retail store will issue the manager a bonus if the customers spend $35, on average, per visit. Is it reasonable to believe this manager will receive a bonus? No. Because a different sample might give different results, no conclusion can be drawn. No. Because the interval does not contain $35, the manager would not be issued the bonus. Yes. Because the interval representing the mean amount customers spend per visit is entirely below $35, it is reasonable to believe the manager will be issued a bonus. Yes. Because the interval representing the mean amount customers spend per visit does not contain $35, it is reasonable to believe the manager will be issued a bonus.