Describe the slope of the line
Find the slope
m=??

The amount that $100 will be able to buy in 20 years, given an inflation rate of 4% is $44.20

When given the inflation rate, know that this rate is the rate at which the value of money decreases per year.

If given a rate of 4% as inflation, then the value of a dollar would decrease by 4% a year.

In 20 years therefore, the value of $100 would be:

Value in 20 years = Value today x (1 - inflation rate) ^ number of years

= 100 x (1 - 4%) ²⁰

= $44.20

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The volume of liquid contained by cone is 105 inches cube.

What is volume?

It can be defined as the total content which can be held inside a container.

Main body:

the volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]  , where r = radius and h = height of cone

diameter = 10 , so radius = d/2 = 5 inches

V = [tex]\frac{1}{3}\pi 5*5*4[/tex]

V = 3.14 *5*5*4*1/3

v≈105 inches cube

Hence the volume is 105 inches cube.

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By assuming that the initial height of the rocket is the ground, we will get the height equation:

H(t) = -16*t^2 + 235*t

The height equation for any object near the surface of the heart that is not being subject to any other forces than the gravitational one is:

H(t) = -16*t^2 + v*t + h

Where:

t represents the time in seconds.

the first coefficient -16 is half of the gravitational acceleration in feet over squared seconds.

v is the initial velocity, which in this case is 235 ft/s

h is the initial height, in this case we assume is zero (the rocket is launched from the ground)

Replacing all that in the height equation, we will get:

H(t) = -16*t^2 + 235*t

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Answer:  $4x4x

Step-by-step explanation:

Answer:

Ten million, Four hundred eighty-three thousand, one hundred ninety

Step-by-step explanation:

Break it down! into the tens digit, hundreds digit, etc.

Answer: The answer is 0.16638935108

Step-by-step explanation:

Answer:

none of them

Step-by-step explanation:

1) y = 3x+2, where slope is 3 and point is(3, -5).

2) y+6 = 4(x-5) is the equation for the given slope and point.

                      y = mx + b

                       Slope = m = tan θ = (y2 - y1)/(x2 - x1)

1) y + 5 = 3(x-1)x-x

Compare this equation to y - y₁ = m(x - x₁)

y = 3x - 3 + 5

y = 3x + 2

2) Given:

Slope = 4; point (5, -6)

y - y₁ = m(x - x₁)

y + 6 = 4(x -5 )

Option A

Hence, i) y = 3x+2, where slope is 3 and point is(3, -5) and ii) y+6 = 4(x-5) is the equation for the given slope and point.

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Using the sum of exterior angle, the value of n is 11.

In the given question,

A hexagon has exterior angle measures of (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.

We have to find the value of n.

As we know that the sum of exterior angle of any polygon is equal to 360°.

As the given measures are (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.

So we can find the value of n by adding the all measures.

So the expression should be

(7n + 3) + (10n-17) + (8n - 16) + (4n+17) + (-n + 16) + (5n - 6)° = 360°

Simplifying the bracket.

7n + 3 + 10n-17 + 8n - 16 + 4n+17 - n + 16 + 5n - 6 = 360°

Solving the expression by solving the same term

(7n+10n+8n+4n-n+5n)+(3-17-16+17+16-6)= 360°

33n-3 = 360°

Add 3 on both side

33n-3+3 = 360°+3

33n = 357°

Divide by 33 on both side

33/33 n= 363°/33

n = 11

Hence, the value of n is 11.

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Step-by-step explanation:

there is no interest and such involved. it is a straight forward calculation to allow the lender to accumulate enough funds (= the ESCROW account as part of the mortgage account structure) to be able to pay the taxes once a year on behalf of the owners.

so, the tax is $1.50 for every $100 of the assessed value of the house.

how many $100 units are in that value ?

180,000 / 100 = 1,800 units.

that means the tax for that house is

1800 × 1.5 = $2,700

in order for the lender to accumulate $2,700 in the ESCROW account in a year (= 12 months), the monthly contribution has to be

2700 / 12 = $225.00

The money was spent on a pass and lunch for each student is $28.07

It was stated that the the school spends 654.84 dollars on passes for 32 students and 2 teachers while the school also spends 281.92 dollars on lunch for just the students.

Therefore the amount spent on pass will be:

= Total amount / Number of people

= 654.84 / 34

= 19.26

The amount spent on each student will be:

= 281.92 / 32

= 8.81

The amount spent in pass and lunch will be:

= 19.26 + 8.81

= $28.07

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The total fencing material required to fence the playground and both flower beds is

Information from the question

The boundary of a park is shaped like a circle

The length of the rectangular playground is / and its width is w

The length of each side of the square flower beds is a

The problem is asking for the perimeter of a rectangle and 2 squares

perimeter of a rectangle is 2( /  + w)

perimeter of a square is 4a

If there was no over lap the expression will have no reduction and hence the quantity of material required for the fencing is equal to their respective perimeters

The flower beds are two so the perimeter will be multiplied by 2 to give 8a

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Answer:

78°

Step-by-step explanation:

∠M=∠Q

∠N=∠S

∠P=∠T

Answer:

---------------------

Given

We know that corresponding angles of congruent triangles are congruent (vertices in same order as name of triangle):

Angle S corresponds to angle N, hence their values are equal:

a) The mistake that mara made in step 3 is that; she didn't apply the basic rule of logarithm which should have given the expression log 3^x = x log 3

b) The mistake that mara made in step 4 is that; you must eradicate the log at the same time and as such it should be x log 3 = 3log 3

c) The mistake she made throughout is not applying the basic rule of logarithm.

She is trying to solve the exponential function 7 x 3^x = 189 with the following steps;

Step 1. 7 x 3^x = 189

Step; 2. 3^x = 27; This step is correct because she got it by using division property of equality to divide both sides by 7.

Step 3; log^3 (^3) = log^27; This step is incorrect because from basic rules of logarithm, we know that; log 3^x = x log 3

Step 4. xlog^33=9; This is incorrect because you cannot remove the log on one side of the equation without doing the same on the second side. Thus, what she she should have had here is;

x log 3 = 3log 3

Step 5. x * 1 = 9; This is wrong because dividing both sides by log 4 gives; x = 3

Step 6. x = 9; This is wrong because x = 3

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Complete question is;

Mara solved an exponential equation by using logarithms. This is her work.

1. 7 x 3^x = 189

2. 3^x = 27

3. log^3 (^3) = log^27

4. xlog^33=9

5. x * 1 = 9

6. x = 9

Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.)

a. Be sure to explain what she did and why it was correct or incorrect for Step 3.

b. Be sure to explain what she did and why it was correct or incorrect for Step 4.

c. Provide Mara with feedback on what the mistake was and how to fix it.

The distribution that is needed for the problem that we have here is the t distribution.

With its bell-shaped structure and heavier tails, the t-distribution, commonly referred to as the Student's t-distribution, is a kind of probability distribution that resembles the normal distribution.

When there are insufficient samples or unknown variances, it is used to estimate population parameters. T-distributions have broader tails than normal distributions because they are more likely to contain extreme values.

We have tn-1

where n = 70

so that we would have

t70 - 1

= t69

Therefore we would have to use the t distribution here.

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The value of the investment after 3.25 years is $434.93.

The amount a lender charges a borrower, expressed as a percentage of the principle, is known as the interest rate.

Given that, the initial investment is P₀ = $400, the interest rate is n = 2.6%, and the time is x = 3.25 years.

The formula for the future value in continuous compounding is:

P(x) = P₀eⁿˣ

Substitute P₀ = 400, n = 2.6%, and x = 3.25 into the equation:

[tex]P(3.25) = (400)e^{2.6\%(3.25)}\\[/tex]

= 434.93

Hence, the value of the investment after 3.25 years is $434.93.

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Answer:

f and g 231

Step-by-step explanation:

Answer:

The first column is usually for the categories of the data set and the second or third column is usually for the frequency of each category.

The number written on the right of each category is its frequency

Step-by-step explanation:

Answer:

she wrote 1 million. It's 100,000

Step-by-step explanation:

she wrote 1 million. It's 100,000

Answer:

B: (4, 2)

D: (-4, -1)

E: (3, -3)

F: (0, 4)

Step-by-step explanation:

(x-coordinate, y-coordinate)

Answer:

B: (4, 2)

D: (-4, -1)

E: (3, -3)

F: (0, 4)

Step-by-step explanation:

(x-coordinate, y-coordinate)

Answer:

I believe... f(x)=1400+4x

Answer:

I think its C. 1/95

Step-by-step explanation:

I am not sure this is the answer, i haven't done this math in ages so I'm a bit rusty so good luck on the test!

The length and width of the rectangle with a perimeter of 64m are 19m and 13m respectively.

The perimeter of a rectangle is expressed as;

P = 2( l + w )

Where l is length and w is width.

Given the data in the question;

Let x represent the width be represented by variable x.

Plug the values into the equation above above.

P = 2( l + w )

64 = 2( (x + 6 ) + x )

64 = 2( 2x + 6 )

64 = 4x + 12

64 - 12 = 4x

52 = 4x

x = 52/4

x = 13

Hence, the dimensions of the rectangle are;

Width = x = 13m

Length = x + 6 = 13 + 6 = 19m

Therefore, the dimension of the rectangle are 13m by 19m.

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Answer:

y = ±√100-x

Step-by-step explanation:

To work out the inverse of this function :

We solve for x then swap x and y :

Solving for x :

y = 100 - x²

Add x² to both sides :

x² + y = 100

Subtract y from both sides :

x² = 100-y

Square root both sides :

x = ±√100-y

Now we have solved for x. Now swap x and y :

y = ±√100-x

This is our final answer and is the first option.

Hope this helped and have a good day

Answer:

20/5 is the slope, or 4.

Step-by-step explanation:

It went up 20 units on the y axis, and over 5 units on the x-axis. So 20/5 is the slope.

-Hope this helped

Answer:

-----------------------------

According to the remainder theorem, if we subtract 68 from the given trinomial it should be divisible by x - 4. In other words, one of zero's will be x = 4.

The area of a square with a side length √8 represents a rational number, which is equal to 8 square units.

Rational numbers are real numbers of the form m / n, where m and n are integers, where n ≠ 0. The rest of real numbers are irrational (i.e. π, √5, ∛7, e) Besides, the area of the square is determined by the following formula:

A = l²

Where l is the side length of the square.

First, substitute the side length of the square in the area formula:

A = (√8)²

Second, use algebraic properties to simplify the expression and find the corresponding result:

A = ([tex]8^{\frac{1}{2} }[/tex])²

A = 8

This number represents a rational number as 8 is equivalent to the rational number 8 / 1.

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