What is the answer to this problem?

What Is The Answer To This Problem?

Answers

Answer 1

Answer:

$22,000 at 5%, $10,000 at 11%

Step-by-step explanation:

Let x be the amount invested at 5%.

[tex].05x = .11(32000 - x)[/tex]

[tex].05x = 3520 - .11x[/tex]

[tex].16x = 3520[/tex]

[tex]x = 22000[/tex]

$22,000 at 5%, $10,000 at 11%


Related Questions

0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive

Answers

The slope of the line is Positive

What is the Slope of a line:

The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”

The slope of the line at different positions:  

When we go from left to right on the graph if the line moves up then the slope of the line will be positive  

When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero  

The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined

From the given picture,

We can say that from left to right the given line is moving upwards

Therefore

From the above observation slope of the line is Positive

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population etiologic fraction is a measure of the proportion of the disease rate in a population attributable to the exposure of interest. this measure of effect is influenced by:

Answers

This measure of effect is influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also the prevalence of exposure in the population.

As stated, population etiology fraction is a measure of the disease rate in a population attributable to the exposure of interest. This is a measure that can be influenced only by the exposure caused due to a particular disease. Hence it can be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also with the prevalent of the exposure in the population.

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Fleur is making 8 identical thank-you cards for her teachers. each card requires 2.5 sheets of yellow paper and some red paper. she uses a total of 30 sheets of paper. a. write an equation that can be used to determine the number of red sheets, r, required for each card. __

Answers

The required equation to determine the number of red sheets, r, required for each card is 8r + 20 = 30.

Let the required number of red paper be r. For one card, the 2.5 sheets of yellow paper are required. So, for 8 thank-you cards, the yellow papers required will be = 8×2.5

Number of yellow papers = 20

Total number of sheets required = Number of yellow sheets for 8 cards + Number of red sheets for 8 cards

Keep the values in formula to form the equation

30 = 20 + 8r

8r = 10

r = 10/8

r = 1.25

So, the equation for calculation of number of red papers for each card is 1.25.

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you cannot remember your 5-digit bike-lock combination. what is the probability that you guess the combination correctly? (enter your probability as a fraction.)

Answers

The probability that you guess the combination correctly 0.00001.

We know that the probability of an event is (possible outcome/total outcome)

I will assume that repeats are allowed as in most combination locks so the number of possible codes

= 10⁵ = 100000

We also know that there is only one correct combination so the probability that you guess the combination correctly

= 1/10⁵ = 1/100000 = 0.00001

Orchestrating individuals, digits, numbers, letters in order, letters, and tones are instances of changes. Choice of menu, food, garments, subjects, and group are instances of combination.

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find the equation of a line that is equidistant from the points (2,4) and (-4,6)

Answers

The equation of a line is y = 5x - 6

What is Equation of line ?

A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.

The given points are (2, 4) and (-4, 6)

The equation of line is given ,

y = mx + b

where, m = slope

b = y - intercept

To find slope , we have formula

slope (m) = (y2 - y1) / (x2 - x1)

let, (x1, x2) = (2, 4) and

(y2, y1) = (-4, 6)

Now, put the values in slope formula,

m = ( 6 - (-4) ) / ( 4 - 2)

m = (6 + 4) / 2

m = 10 / 2

m = 5

We get slope, now find y-intercept i,e, 'b'

y = 5x + b

so take any point to find 'b'

Let's take the point (2, 4) which is (x, y) so now put the (x, y) and find 'b'.

4 = 5 * 2 + b

4 = 10 + b

b = 4 - 10

b = -6

so, now put the values of slope and y-intercept in equation of line i.e,        y = mx + b

y = 5x - 6

Hence, the equation of a line is y = 5x - 6

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Find the surface area of this cuboid.
4 cm
2 cm
2 cm

Answers

answer : 40 cm


explanation:

Answer:

40 cm²

Step-by-step explanation:

Let,

length ( l ) = 4 cm

Height ( h ) = Width ( w ) = 2 cm

To find : Surface are of cuboid : -

Formula : -

Surface are of cuboid = 2 [ lh + hw + wl ]

Surface are of cuboid

= 2 [ ( 4 )( 2 ) + ( 2 )( 2 ) + ( ( 2 )( 4 ) ]

=  2 [ 8 + 4 + 8 ]

= 2 [ 20 ]

= 2 x 20

= 40 cm²

According to a report for veterinarians in the united states, 36. 5 percent of households in the united states own dogs and 30. 4 percent of households in the united states own cats. If one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?.

Answers

thanks for this information but unfortunately do not know the answer to this

Part A


The graph shows the distance in miles, , a car travels in hours.





Explain why the graph does or does not represent a proportional relationship between the variables and .

​Enter your explanation in the box provided.



​Part B

​Two cars leave from the same city at the same time and drive in the same direction. The table shows the distances traveled by each car.




• Determine whether the relationship between the number of hours traveled and the number of miles traveled is proportional for each car.

​• Use the table to explain how you determined your answers.

​• Describe how the graph of the distance traveled by each car would support your answers.



Enter your answers and your explanations in the box provided.

Answers

fi r e re r er e r er e re r e r er e re

which multiplication table have 8 and 50

Answers

Answer:2

Step-by-step explanation:

2*4=8

2*25=50

1 trillion = 1,000 billion
There are about 40 trillion cells in the human body.
Each cell consists of about 100 trillion atoms.
About how many atoms are there in the human body altogether?
Give your answer in standard form.

Answers

The number of atoms in standard form is 4 × 10²⁵ atoms

What is standard form?

Standard form is number written in the form a × 10ⁿ where 1 ≤ a < 10 and n is an integer

How to find how many atoms are there in the human body altogether in standard form?

Since there are about 40 trillion cells in the human body. and each cell consists of about 100 trillion atoms, we have that

40 trillion cells = 40 trillion × 1 cell

Also, 1 cell = 100 trillion atoms.

So, 40 trillion × 1 cell = 40 trillion × 100 trillion atoms.

Now, we know that 1 trillion = 1000 billion

So, Number of atoms =  40 trillion × 100 trillion atoms

=  40 × trillion × 100 × 1 trillion atoms.

= 40 × 1000 billion × 100 × 1000 billion atoms.

= 40 × 1000 × 100 × 1000 × 1 billion × 1 billion atoms.

We know that 1 billion = 1000000000

So,

= 40 × 1000 × 100 × 1000 × 1 billion × 1 billion atoms.

= 40 × 1000 × 100 × 1000 × 1000000000 × 1000000000 atoms

= 40000000000000000000000000

= 4 × 10000000000000000000000000

= 4 × 10²⁵ atoms

So, the number of atoms in standard form is 4 × 10²⁵ atoms

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A school had 1 200 students last year and only 1 080 students this year.
What was the percent decrease in the number of students?

Answers

Answer:The percentage decrease in the number of students​ is -10%.

Given that,

The school has 1,200 students last year.

And, this year it is 1,080.

Based on the above information, the calculation is as follows:

Therefore we can conclude that the percentage decrease in the number of students​ is -10%.

Step-by-step explanation: noice

b According to estimates, there are over 300 million people living in the Unite
States. How many Neyland Stadiums would it take to hold 300 million people

Answers

Answer:

it would take 3,000 neyland stadiums to take 300milion people is rounded i hope this helps

Step-by-step explanation:

Logan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $18 for the initial consultation and then $88 per session. Another plan is to charge $39 for the consultation and $87 per session. Logan realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

Answers

Answer: The 2 Plan will have same cost of $2149 after 64 sessions.

Let the Two plan be Plan A and Plan B.

Also let the number of session be

According to given detail

Plan A =

Plan B =

We need to find the value of when both are equal.

Plan A = Plan B

=

Solving above equation we get;

Number of session are 64.

Cost after 64 session will be,

Plan A =

Plan B =

Hence The 2 Plan will have same cost of $2149 after 64 sessions.

Step-by-step explanation:

state: how heavy a load (in pounds) is needed to pull apart pieces of douglas fir 4 inches long and 1.5 inches square? data from students doing a laboratory exercise are given.

Answers

The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).

Define confidence interval.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. The size of a 90% confidence interval for a given estimate is one way to gauge how "excellent" it is; the greater the interval, the more care must be used when utilizing the estimate. Confidence intervals serve as a crucial reminder of the estimates' limits.

Given,

Data set: (33190, 31860, 32590, 26520, 33280, 32320, 33020, 32030, 30460, 32700, 23040, 30930, 32720, 33650, 32340, 24050, 30170, 28730, 31920)

The normal distribution's standard deviation, s = 3000 pounds

95% confidence interval

N = 20 observations were made.

Mean = 30,800

Margin of error :

z₇ × √3000².20

±1.314.8079

Confidence interval

= Mean + Margin of error

= 30,800 ±1.314.8079

= 29,485.192 , 32,114.8

The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).

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A rectangular blacktop with a length of 5x and a width of 3x has been erected inside a rectangular !eld that has a length of 12x and a width of 7x.a. What is the area of the part of the !eld that is not blacktop?b. "ere is a circular fountain in the rectangular !eld that has a radius of 3x. What is the area of the part of the !eld that does not include the blacktop or the fountain? Factor your answer. Pls help

Answers

Answer:

Step-by-step explanation:

to find area of a rectangle we use (L)(W) so we do that here for both of these rectangles first find the area of the black top

5x(3x)

15x^2 is the area of the blacktop

The “!ield” area is next

12x(7x)

84x^2 is the area now we just subtract the two numbers by subtracting coefficients but keeping the rest the same

84x^2-15x^2

69x^2 is the area of the rectangle that is not black top

B- the foundtain we find with the area of circle formula r squared times pi

3x(3x)pi

9x^2pi

Now we just subtract this from the area of the rectangle


69x^2 -9x^2pi is the area

Hopes this helps please mark brainliest

Can someone help me please?

Answers

The coordinates of C are (a, a).The coordinates of D are (0, a).

Question 1

[tex]\frac{a-0}{a-0}=1[/tex]

Question 2

[tex](1)(-1)=-1[/tex]

factorise 2x^[2]-9x-5

Answers

Answer:

(2x + 1) and (x - 5)

Step-by-step explanation:

(2x + 1)(x - 5) = 2x^2 - 9x - 5

Please help !!! I don’t understand 25 points !

Answers

Answer: Triangle VUT:

84:70:42

Triangle RSQ:

30:25:15

Final simplified answer: 2.8:2.8:2.8

Scale factor of 2.8

Step-by-step explanation:

Each triangle's sides are a part of the ratio, then you divide each side by the corresponding one (84 by 30, and 70 by 25) to get your scale factor.

solve for the variable in 7/26=25/x

Answers

Answer:

x = 650/7

Step-by-step explanation:

7/26 = 25/x

7*x = 25*26

7x = 650

x = 650/7

Check:

7/26 = 25/(650/7)

7/26 = 25*7/650

7/26 = 175/65

7*650 = 26*175 = 4550

Verify experimentally that the diagonals of a square are equal to each other.

Answers

The diagonals of a square are equal to each other

Let ABCD be a square.

We need to prove that the diagonals are equal to each other

AC=BD and AC and BD bisect each other at right angles

(i) Considering the ΔABC and ΔBAD,

AB=AB ( common line)

BC=AD ( opppsite sides of a square)

∠ABC=∠BAD ( = 90° )

ΔABC≅ΔBAD( By SideAngleSide property)

AC=BD ( by CPCT).

(ii) Now in triangles ΔOAD and ΔOCB,

AD=CB ( opposite sides of a square)

∠OAD=∠OCB ( transversal AC )

∠ODA=∠OBC ( transversal BD )

ΔOAD≅ΔOCB (ASA property)

OA=OC ---------(i)

Similarly OB=OD ----------(ii)

From (i) and (ii)  we can conclude that AC and BD bisect each other.

Now in a ΔOBA and ΔODA,

OB=OD ( from (ii) )

BA=DA

OA=OA  ( common line )

ΔAOB=ΔAOD----(iii) ( by CPCT

∠AOB+∠AOD=180°  (linear pair)

2∠AOB=180°

∠AOB=∠AOD=90°

Therefore, it is proved that AC and BD bisect each other at right angles.

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John climbs a cliff that is 128 feet high in 16 minutes. What is his average rate of ascent?

Answers

Ratios and Proportions? I legit took that last week
The answer is : 8 ft min

I took the test

an analog signal received at a detector (measured in micro volts) may be modeled as a gaussian random variable n (200, 256) at a fixed point in time. what is the probability that the signal will exceed 240 micro volts? what is the probability that the signal is larger than 240 micro volts, given that it is larger than 210 micro volts?

Answers

Given that the signal gets larger than 210 microvolts, there is a 2.335 % chance that it is also larger than 240 microvolts.

Define the term Gaussian random variable?We consider the Gaussian form whenever we need to describe complex valued random variables for whom the distribution is unknown. The Central Limit Theorem (CLT), which deals with the sum of several random variables, is substantially fundamental for this tendency.

As, per the given question.

Gaussian random variable n (200, 256)

Part a: Probability that signal will exceed 240 micro volts.

P(x > 240) = 1 - P(x ≤ 240)

P(x > 240) = 1 - P(240 - 200)/16

P(x > 240) = 1 - P(2.5)

See p value for z = 2.5

P(x > 240) = 0.00621

Thus, Probability that signal will exceed 240 micro volts is 0.00621.

Part b:  larger than 210 micro volts.

P(x ≥ 240) | x ≥ 210) = P(x ≥ 240) / P(x ≥ 210)

P(x ≥ 240) | x ≥ 210) = 1 - P(240 - 200)/16 /  1 - P(210 - 200)/16

P(x ≥ 240) | x ≥ 210) = 0.00621 / 0.26599

P(x ≥ 240) | x ≥ 210) = 0.02335

Thus, for the signal gets larger than 210 microvolts, there is a 0.02335 percent chance that it is also larger than 240 microvolts.

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HELP ME PLEASE ASAP MATH PLEASE HELP Ill give brainlyless if someone do it right and help me

Answers

An equation to represent Juan’s total savings, , in dollars, after  Fridays y is 12 x   Fridays will it take for Juan to save up enough money for the video game is 6 friday.How to find the problem?

Juan wants to buy a video game for $63  He saves  every Friday $12.

An equation to represent Juan’s total savings, , in dollars, after  Fridays y is  

Part A is

y =12x

Fridays will it take for Juan to save up enough money for the video game is .

Part B

y >  63

12 x > [tex]5\frac{1}{4}[/tex]

x  =  6

so

That means 6 fridays

An equation to represent Juan’s total savings, , in dollars, after  Fridays y is 12 x   Fridays will it take for Juan to save up enough money for the video game is 6 friday.

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i need help like immediately
1/4 (8x+4)=2x-4

Answers

Answer: the statement is false

Step-by-step explanation:

1/4*8=2 -> 1/4*4=1
So the left side equals 2x+1
The multiply by the reciprocal (2x+1)*(2x-1)

(2x+1)*(2x-1) = 2x-4

A store manager instructs some new trainees that a barbecue grill priced at $700 winds up costing a customer $714 once the sales tax is included. What is the sales tax percentage?


Write your answer using a percent sign (%).

Answers

Answer:

0.02 or 2%

Step-by-step explanation:

$700(x)=$714

$700(0.02)=14

700+14=714

given p (1,3) q(8,-4), r(2,9) and s(7,y). find y such that pq || rs

Answers

By secant line formula, the missing value of the point S is equal to 4.

How to determine the missing coordinates of a point related to two parallel line segments

Two line segments are parallel if and only if both line segments have the same slope. Slopes can be determined by secant line formula, defined below:

m = Δy / Δx

Where:

Δx - Change in the variable x. Δy - Change in the variable y.

Then, the missing value of the variable y in the point S is:

(- 4 - 3) / (8 - 1) = (y - 9) / (7 - 2)

- 7 / 7 = (y - 9) / 5

- 1 = (y - 9) / 5

- 5 = y - 9

y = 4

The missing value of the variable y is 4.

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let n be the second smallest positive integer that is divisible by every positive integer less than 7. what is the sum of the digits of n?

Answers

The sum of the digits of n is 3 if n is the second smallest positive integer that is divisible by every positive integer less than 7

What is least common multiple?

The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.

It can be calculated for two or more numbers as well.

For example, LCM of 10, 2 and 7 is 70.

According to the given question:

Now n must be divisible by every positive integer less than 7, or

1, 2, 3, 4, 5, and 6.

Each number that is divisible by each of these is a multiple of their least common multiple.

LCM (1,2,3,4,5,6) = 60

So each number divisible by these is a multiple of 60.

The smallest multiple of 60 is clearly 60, so the second smallest multiple of 60 is 2 x 60 = 120.

Therefore, the sum of the digits of n is 1+2+0 = 3

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Find the missing base.
Write your answer as a whole number.
2=100

Answers

The missing base for the expression x² = 100 is given by:

± x = 10.

How to find the missing base?

The expression in this problem is given as follows:

x² = 100.

The missing base is represented by the variable x, hence we have to solve the above expression x² = 100 for the variable x.

To solve for x, we need to isolate the variable x, applying the inverse operation to the second power, which is the square root, hence the variable x is isolated as follows:

x = plus/minus square root of 100.

The plus/minus sign is necessary because the x-squared function is even, then the missing base is obtained as follows:

x = ± 10.

Plus/minus 10 because both of these statements are true:

10² = 100.(-10)² = 100.

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select three options.

y = –Two-fifthsx – 2
2x + 5y = −10
2x − 5y = −10
y + 4 = –Two-fifths(x – 5)
y – 4 = Five-halves(x + 5)

Answers

The equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

The given equation of the line is

5x - 2y = -6

Ax + By = C1

Bx - Ay = C2

are perpendicular.

Then the perpendicular to the line 5x - 2y = -6 is 2x + 5y = C2

We have to find the value of C2

The line is passing through the point (5, -4)

Substitute the values in the equation and find the value of C2

2(5) + 5(-4) = C2

C2 = 10 -20

= -10

The equation will be 2x + 5y = -10

Rearrange the terms and make it slope intercept form

2x + 5y = -10

5y = -10 -2x

5y = -2x - 10

y = (-2/5)x - 2

Hence,  equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

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f'(x) = 4f(x) and f(0) = 10

Answers

Answer:f(x)=10e^4x

Step-by-step explanation:

f(x)=C*e^4x

f(0)=c*e^4.0

10=C*e^4.0

10=C

f(x)=C*e^kx

f(x)=C*e^4x

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After your examination you become convinced that the problem Marico is experiencing relates to culture, and you prepare your report accordingly. CASE QUESTIONS1. Select one of Hofstedes five cultural dimensions to explain to Maricos the main differences between Maricos Canadian HQ and its Mexican subsidiary in terms of culture. Explain why you selected this dimension as the primary source of the problem between the Marico HQ and its Mexican plant.2. In your opinion, what are three ways that Canadian managers could demonstrate higher intercultural competence at Maricos Mexican subsidiary? What do you notice about the empirical formulas of monosaccharides glucose fructose galactose and disaccharides sucrose Why are the tops of mountains round and the soil often rough, rocky, and thin in many places in the Northeast?The early settlers abused and overused the land.Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.The Indian population purposely destroyed the countryside when they discovered the white settlers would not leave.During the past three centuries, the urban dwellers in the area have appropriated the fine soil for the cities. what is 4+2 Find the area of a circle with a radius of 7m. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer. 100. grams of ammonia (nh3) is dissolved in a 8.3 l solution. what is the molarity of the resulting solution? report your answer with the correct number of significant figures. What is the missing word? Stem cells have not yet __________, so they retain the ability to develop into other types of cells. I am writing a novel into passive I am working on a Bohr Rutherford Diagram for Science right now, and my first question on the textbook is "draw a Bhor Rutherford Diagram for Sulfur-32." How do I figure out how many dots I put in the Diagram?