Carolyn is carpeting her front room.
Work out how much carpet she needs by working out the area.
She will also need skirting boards around the sides of the room. To measure the boards needed, calculate the perimeter.

Area:
Perimeter:

The unearned interest and the payoff amount is $11,022.12 and $18,784.87 respectively

Given data ,

Kelly bought a new SUV for $28,000. She made a down payment of $11,000 and has monthly payments of $332.63 for 5 years.

She is able to pay off her loan at the end of 36 months.

Now , Total interest = (monthly payment x number of months) - loan amount

Total interest = ($332.63 x 60) - $17,000

Total interest = $19,957.80

Next, we need to calculate the interest that has already been paid over the first 36 months of the loan. We can use the formula:

Interest paid = (monthly payment x number of months) - (loan amount - down payment)

Interest paid = ($332.63 x 36) - ($28,000 - $11,000)

Interest paid = $8,935.68

The unearned interest is the difference between the total interest and the interest paid so far:

Unearned interest = total interest - interest paid

Unearned interest = $19,957.80 - $8,935.68

Unearned interest = $11,022.12

To find the payoff amount, we need to add the remaining principal balance to the unearned interest:

Payoff amount = remaining balance + unearned interest

To calculate the remaining balance, we can use the formula for the present value of an annuity:

Remaining balance = monthly payment x (1 - (1 + r)^-n) / r

Where r is the monthly interest rate and n is the number of remaining months. We can solve for r by using the total interest calculated earlier:

r = (Total interest / loan amount) / 12

r = ($19,957.80 / $17,000) / 12

r = 0.0986%

Using this interest rate and n = 24 (the remaining 24 months of the loan), we can calculate the remaining balance:

Remaining balance = $332.63 x (1 - (1 + 0.0986%)^-24) / 0.0986%

Remaining balance = $7,762.75

Payoff amount = $7,762.75 + $11,022.12

Payoff amount = $18,784.87

Hence , the interest is solved

To learn more about simple interest click :

https://brainly.com/question/17282817

#SPJ1

The length of the longest leg in the right triangle is 5 units

Let x be the length of the shortest leg. Then the other leg has length x + 1, and the hypotenuse has length x + 2.

By the Pythagorean Theorem, we have:

x^2 + (x + 1)^2 = (x + 2)^2

Set x = 3

So, we have

3^2 + (3 + 1)^2 = (3 + 2)^2

Evaluate

25 = 25

The above equation is trie

So, we have

Longest = x + 2

Longest = 3 + 2

Evaluate

Longest = 5

Read more about right triangle at

https://brainly.com/question/2437195

#SPJ1

1. The coordinates of the vertices of the preimage in the first column of the table are; (2, 2), (-1, 2) (-1, 1) (-2, 1) (-2, -2) (1, -2) (1, -1) (2, -1).

2. The scale factor for the dilation is 3

3. The coordinates for the image are,  (6,6) (-3, 6) (-3, 3) (-6, 3)(-6, -6) (3, -6) (3, -3)(6, -3)

4. The sketch has been attached below;

5. The dilation multiplies the length of line segments by the scale factor.

6. The dilation did not affect the angle measures. The angles in the image are the same as the angles in the preimage.

To calculate the scale factor for the dilation, we look at what has been provided (x, y) → (3x, 3y)

x =1 x2 = 3

1 multiplied by what will give us 3

1×? = 3

1/1 = 3/1 = 3

If we multiply 3 to every vertices of the preimage, we will find the coordinated of the image.

Find more exercises that includes scale factor;

https://brainly.com/question/30215119

#SPJ1

Answer:

h=5

Step-by-step explanation:

Substituting in 92 for s,
92=4lw+2wh
Substituting in 9 for l,
92=4(9)(w)+2wh

Substituting 2 for w,

92=4(9)(2)+2(2)(h)

Simplifying by multiplying terms

92=72+4h

Subtract 72 on both sides

20=4h

Divide by 4 on both sides

5=h

Answer:

70 , 18

Step-by-step explanation:

Keeping x as Father and y as son;

5 years ago Person X was 5 times older than Person y , so the equation will be:

x - 5= 5(y-5)

x = 5y - 20

simularily after 8 years , x will be 3 times older than y , so

x + 8 = 3(y + 8.)

I will now try to find y by equating value of x into y:

5y - 20 + 8 = 3y + 24

5y - 3y = 24 + 20 - 8

2y = 44 - 8 = 36

y = 18

so x will be =  5 (18) - 20.

x = 90-20 = 70 years.

therefore father is 70 years , and son is 18 years old.

The distance from town A that they will be,  when they will pass each other is  44 4/9 .

It should be noted that time traveled in each segment is constant, which implies that in this case the average speed can be regarded as the simple mean of speeds. An in the case whereby the distance traveled in each segment is constant, average speed can be described to be the reciprocal of simple mean .

This can be expressed mathematically as

Average speed = Reciprocal [ 1/40 & 1/50].

Average speed = Reciprocal of (1/40 + 1/50)/2

= Reciprocal of [(5+4)/400]

= 44 4/9 .

Learn more about  distance at:

https://brainly.com/question/26550516

#SPJ1

Applying the triangle sum theorem, the measure of angle x is calculated as: m<x = 72 degrees.

In a triangle, when all of its interior angles are added together, the triangle sum theorem states that we will get a sum of 180 degrees.

Therefore, we have:

m<AHI = 63 degrees [based on the corresponding angles theorem]

Considering triangle AHI, applying the triangle sum theorem, we will have the following:

m<x + m<AHI + m<A = 180°

Substitute:

m<x + 63 + 45 = 180°

m<x + 108 = 180°

m<x = 180 - 108 [subtraction property of equality]

m<x = 72 degrees.

Learn more about the triangle sum theorem on:

https://brainly.com/question/30233141

#SPJ1

Answer:

75%

Step-by-step explanation:

To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.

According to the information provided:

55% of the team does not like to run.

Of those who do not like to run, 70% enjoy cycling.

Of those who enjoy running, 80% also enjoy cycling.

To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.

Percentage of athletes who do not like to run and enjoy cycling:

= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)

= 55% * 70% = 38.5%

Percentage of athletes who enjoy running and enjoy cycling:

= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)

= (100% - 55%) * 80% = 45% * 80% = 36%

Total percentage of athletes who enjoy cycling:

= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling

= 38.5% + 36% = 74.5%

Therefore, the correct answer is:

74.5%

Answer:

The mean absolute deviation of 8,2,7,8,6,10,2,1,10,6 is 2.24.

To calculate the mean absolute deviation, we first need to find the mean of the data set. The mean is the sum of all the values in the data set divided by the number of values. In this case, the mean is 7.

Once we have the mean, we can find the mean absolute deviation by finding the absolute value of the difference between each value in the data set and the mean. For example, the absolute value of the difference between 8 and 7 is 1. We then add up all of the absolute values and divide by the number of values in the data set. In this case, the mean absolute deviation is 2.24.

Here is the formula for the mean absolute deviation:

```

MAD = (|x1 - μ| + |x2 - μ| + ... + |xn - μ|) / n

```

Where:

* MAD is the mean absolute deviation

* x1, x2, ..., xn are the values in the data set

* μ is the mean of the data set

* n is the number of values in the data set

Step-by-step explanation:

Answer:

B. $7.50

Step-by-step explanation:

We know profit or P-----P(n) where n is the quantity/number of the item) is the difference of the revenue-----R(n)-----and the cost-----C(n)

P(n) = R(n) - C(n)

Revenue is

R(n) = pn

Cost is a combination of

The cost function resembles a linear equation:

C(n) = mn + c

Since we're shown that P = 7.5n - (2.25n + 15), we know that R(n) must be R(n) = 7.5n and C(n) must be C(n) = 2.25n + 15

Thus, we know she charges $7.5 per necklace sold.

The final function for slinky displacement is: 24 sin(t/2 - /2) d(t). This offers the displacement in inches as a function of time in seconds.

A sinusoidal function of the form: can be used to describe the slinky's displacement.

A sin(t + ) = d(t).

where A is the greatest displacement, is the angular frequency (2 divided by the period), and is the phase angle (starting phase).

We know the slinky's greatest displacement (amplitude) occurs at t=0, thus we have:

24 inches = d(0) = A sin()

We also know that the period is T=2 seconds because the time for one oscillation (i.e., one complete cycle) is 2 seconds. As a result, the angular frequency is:

ω = 2π / T = π radians/second

The phase angle can be calculated using the fact that the slinky is at its equilibrium position at t=T/4=0.5 seconds. At this time, the sine function's argument is:

= 2 / T = radians per second

The phase angle can be calculated using the fact that the slinky is at its equilibrium position (zero displacement) at t=T/4=0.5 seconds. At this time, the sine function's argument is:

ωt + φ = π/2

When we substitute the known values, we get:

π/2 + φ = 0.5π

φ = -π/2

As a result, the slinky's displacement function is:

A sin(t/2 - /2) = d(t).

We may utilize the information that the amplitude is 24 inches to calculate A:

A = |24| = 24

As a result, the final function for slinky displacement is:

24 sin(t/2 - /2) d(t)

This offers the displacement in inches as a function of time in seconds.

Learn more about function here: https://brainly.com/question/10439235

#SPJ1

Answer:

To calculate the surface area of the cylinder, we need to find the area of the two circular bases and the lateral surface area.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C/2π = 513.88/(2 x 3.14) = 81.91 yards

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius. We can use this formula to find the area of one of the circular bases:

B = πr^2 = 3.14 x 81.91^2 = 21,237.93 square yards

The formula for the lateral surface area of a cylinder is:

P x h

where P is the perimeter of the base and h is the height. We can use the formula for the circumference to find the perimeter of the base:

P = C = 513.88 yards

Now we can calculate the lateral surface area:

L = P x h = 513.88 x 11 = 5,652.68 square yards

Finally, we can use the formula for the surface area of a cylinder:

SA = 2B + L = 2(21,237.93) + 5,652.68 = 48,128.54 square yards

Therefore, the surface area of the cylinder is approximately 48,128.54 square yards when rounded to the nearest hundredth.

Answer:

5.5.5.5.5.5.5.5.5 in exponential notation is 5^9

7.7.7.7.7.7.7.7.7.7.7.7.7.7 in exponential notation is 7^13

Therefore, (5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7) in exponential notation is:

5^9 * 7^13

An equation that models the eggs used by LaNiyah is 2b + 6s = 144.

An equation is a mathematical statement that shows that two or more mathematical expressions are equal or equivalent.

Equations contain the equal symbol (=), unlike mathematical expressions that combine variables with numbers, and constants using mathematical operands only.

The number of eggs used to make brownies per unit = 2

The number of eggs used to make cakes per unit = 3

The number of eggs used to make soufflés per unit = 6

The total number of eggs used = 144

Let the total number of brownies made = b

Let the total number of soufflés made = s

2b + 6s = 144

Learn more about equations at brainly.com/question/2972832.

#SPJ1

The function that is even is f(x) = 6x² - 8.

option C.

An even function is a function that satisfies the condition f(-x) = f(x) for all values of x in its domain. In other words, an even function is symmetric with respect to the y-axis.

The function that is even is calculated as follows;

f(x) = 5x² - x

f(-x) = 5(-x)² - (-x)

f(-x) = 5x² + x

f(x) ≠ f(-x)

f(x) = 3x³ + x

f(-x) = 3(-x)³ + (-x)

f(-x) = -3x³ - x

f(x) ≠ f(-x)

f(x) = 6x² - 8

f(-x) = 6(-x)² - 8

f(-x) = 6x² - 8

so f(x) = f(-x), this function is even.

Learn more about even function here: https://brainly.com/question/29220653

#SPJ1

Answer:

d=23,000-500u

Step-by-step explanation:

im doing the test

The equation is not a quadratic equation. Statement is false.

A second-order polynomial equation with just one variable, x, is referred to as a quadratic equation. with a ≠ 0 . The fundamental theorem of algebra guarantees that it has at least one solution since it is a second-order polynomial equation. The arrangement might be genuine or complex.

This is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5 and the y-intercept is 2. A quadratic equation is an equation in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable.

Thus, given equation is not a quadratic equation. Statement is false.

To know more about Quadratic Equation visit;

brainly.com/question/30098550

#SPJ1

Answer: ⬇️

Step-by-step explanation:

Given, u=(2,4,−5) and v=(1,−6,9).Now,3u−5v=3(2,4,−5)−5(1,−6,9)=(1,42,−60).

The cost of each admission tickets is 37.5 dollars.

Ms Boi spent a total of 175 dollars for 4 admission ticket and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of the parking was 25 dollars.

Therefore, the equation that can be use to determine the cost, i of each admission ticket can be represented as follows:

Therefore,

175 = 4i + 25

subtract 25 from both sides of the equation

175 = 4i + 25

175 - 25 = 4i + 25 - 25

150 = 4i

divide both sides by 4

i  = 150 / 4

i = 37.5 dollars

Therefore,

cost of each admission ticket = 37.5 dollars

learn more on equation here: https://brainly.com/question/27475472

#SPJ1

Therefore , the solution of the given problem of function comes out to be  f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

On the midterm exam, there will be a variety of inquiries in each subject, including inquiries concerning both hypothetical and actual places as well as inquiries relating the creation of numerical variables. a diagram showing the relationships between different elements that cooperate to generate the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input.

Here,

Setting the y-value (or output) of a function to zero and then solving for the corresponding x-values will allow us to determine the x-intercepts of the function.

The function in this instance is f(x) = (4x² - 36)/(x - 9)

=> 4x² - 36 = 0

To make the equation simpler, we can factor out a 4:

=> 4(x² - 9) = 0

We can factor further based on the difference of squares we now have:

=> 4(x + 3)(x - 3) = 0

We may determine the x-values where the function crosses the x-axis by setting each element to zero:

=> x + 3 = 0 or x - 3 = 0

To find x, solve for:

=> x = -3 or x = 3

The function f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

The confidence interval is 0.52±0.067.(option c)

What is confidence interval?

In statistics,  confidence interval means that the probability in which a population parameter will fall between a set of values for a certain proportion of times.

A political pollster wants to know what proportion of voters are planning to

vote for the incumbent candidate in an upcoming election. A poll of 150

randomly selected voters is taken from the more than 2,000 voters in the

population, and 78 of those selected plan to vote for the incumbent

candidate.

The formula for confidence interval(CI) is given by:

                      CI=  p ± z √{p(1-p)/n} ----------------(1)

Here from the given data p= 78/150= 0.52

                                          n= 150

For 90% confidence interval the value of z= 1.645.

Putting all the values in equation (1) we get,

                         CI= 0.52± 1.645√{(0.52×0.48)/150}

                             = 0.52±1.645×0.04

                             = 0.52±0.067

Hence, the confidence interval is 0.52±0.067.

To know more about confidence interval

https://brainly.com/question/20309162      from the link.

#SPJ9

Answer:

No, i do not believe i have learned this yet so good luck bestiee

The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of $25,200  for Celluloid Collar Corporation’s carryforward alone.

The value of Celluloid Collar Corporation's tax loss when it is said to be carryforward to Bowstring Shirt Company will be be calculated  using the steps below

Value = Tax Loss Carryforward x Tax Rate

Value = $120,000 x 21%

        = $25,200

Therefore, Bowstring Shirt Company have to pay $25,200 for Celluloid Collar Corporation's tax loss to  be carryforward.

Learn more about non-discounted  sum from

https://brainly.com/question/30532309

#SPJ1

Answer:

36

Step-by-step explanation:

First you calculate the area of the rectangle. then you substract the area of the triangle.

The area of a rectangle is equal to the product of its length and breadth. In other words, if the length of a rectangle is ‘l’ and its breadth is ‘b’, then its area ‘A’ can be calculated as A = l x b= 6*8= 48

The area of a triangle can be calculated using the formula A = 0.5 x b x h where ‘b’ is the length of the base of the triangle and ‘h’ is its height. so A =0.5*8*3 = 12

Area of the figure = 48-12=36