Use the Pythagorean theorem to find the length of AC. Enter the answer in simplified form.
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The amount saved due to early payment is $19,242

Data;

The total payment for the whole term is the equal to the product of monthly payment and the number of payment as calculated above.

The total amount in cash in case of prepayment is

[tex]total amount in case of prepayment = monthly payment * number completed + balance + penalty[/tex]

The number of payment completed = 12

Balance = $37,546.36

Penalty for prepayment = 300

The amount of prepayment is

[tex]528.60 * 12 + 37546.36 + 300 = 44,189.56[/tex]

The amount saved due to early payment is

[tex]63432 - 44189.56 = 19,242[/tex]

The amount saved due to early payment is $19,242

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Answer:

C. Chloe forgot to arrange the numbers in ascending order. The median is 44.

Step-by-step explanation:

We arrange the 9 numbers of the data from the least to the greatest

Then we spot the middle number (5th number) which is 44:

34 < 37 < 38 < 42 < 44 < 51 < 55 < 56 < 57

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

when the numerator and denominator are no longer divisible by the same number, that's when it is in simplest form:

[tex]\frac{2}{8}[/tex] divides by [tex]\frac{2}{2}[/tex] to give you [tex]\frac{1}{4}[/tex]

2÷2 = 1

8÷2 = 4

All sides add up to the perimeter. The perimeter of the kite is 27 units then the correct option is C.

It is concerned with the geometry, region, and density of various 2D and 3D forms.

The Pythagoras theorem will determine the kite's length (x).

H² = P² + B²

H² = 15² + 8²

H² = 225 + 64

H² = 289

 H = 17

Then

[tex]\rm x = \dfrac{H}{2} \\\\x = \dfrac{17}{2}\\\\x = 8.5[/tex]

And another length of the kite is 5 units.

Then the perimeter of the kite will be

Perimeter = 2(8.5 + 5)

Perimeter = 27

More about the geometry link is given below.

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Answer:27 units

Step-by-step explanation:

trust

Answer:

Area of composite shape = 36 square units

Step-by-step explanation:

Area of composite shape:

Rectangle I:

      Length = 3 units

     width   = 6 - 4 = 2 units

Area of rectangle I = length *width

                                = 3* 2

                                = 6 square units

Rectangle II:

     length = 6 units

     width = 5 units

Area of rectangle II = 6 * 5

                                = 30 square units

Area of composite shape = area of rectangle I + area of rectangle  II

                                          = 6 + 30

                                           = 36 square units

Answer:

468 m²

Step-by-step explanation:

Given:

→ Base = 26 m

→ Height = 18 m

Formula:

[tex]\text{Area of parallelogram: Base} \times \text{Height}[/tex]

To determine the area of the parallelogram, we need to substitute the base and the height in the formula.

Substitute the measures in the formula:

[tex]\implies \text{Area of parallelogram: Base} \times \text{Height}[/tex]

[tex]\implies \text{Area of parallelogram} = 26 \times 18[/tex]

Evaluate the area of the parallelogram:

[tex]\implies \text{Area of parallelogram} = 26 \times 18[/tex]

[tex]\implies \text{Area of parallelogram}= \bold{468 \ \text{m}^{2}}[/tex]

Answer:

468 m²

Step-by-step explanation:

Given,

Base ( b ) = 26 m

Height ( h ) = 18 m

To find : The area of parallelogram

Formula : -

Area of parallelogram = bh

Area of paralleogram

= 26 x 18

= 468 m²

Therefore,

the area of the parallelogram is 468 m².

Answer:

j < x/7

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

So if you wanted to figure the average of the 3 tests, you would add 91+85+89 to get 265 & then divide by 3 tests  to get an average of 88.

So that means for four tests, 91+85+89+4th test = answer that divided by 4 tests will equal 90.  90 x 4 = 360.  Then 360 -265 (sum for 1st 3 tests) = 95

Answer:

27

Step-by-step explanation:

1 + (5)(2) + (1 + 3)^2

1 + 10 + (1 + 3)^2

11 + (1+3)^2

11+4^2

11+16

27

Answer:

f = 79

Step-by-step explanation:

You need to perform one-step equations process

146 + f = 225 (You're trying to solve for "f")

*First way, you could subtract both sides by 146 which makes the 146 cancel out then do 225-146 = 79. So f is 79

*A rule to remember is that the opposite of addition is subtraction. If you move 146 to 225 side you must switch it to negative 146.

solution

5(x+3)-3x=55

Answer:

V = 420 in^3

Step-by-step explanation:

Formula

The volume of a 3 dimensional box is V = L * w * h

Givens

L = 10 in

w = 6 in

h = 7 in

V  = ?

Solution

Substitute the givens into the formula

V = 10 * 6 * 7          Combine

V = 420 in^3

Answer:

that's not correct.

17.43/100= 0.1743

174.3×0.01=1.743

Using it's concept, it is found that there is a 0.643 = 64.3% probability that it will rain in the village on Wednesday.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, considering Monday - Tuesday - Wednesday, the possible outcomes are as follows:

R - R - R(0.7 x 0.7 x 0.7)

R - N - R(0.7 x 0.2 x 0.6)

N - R - R(0.3 x 0.6 x 0.8)

N - N - R(0.3 x 0.4 x 0.6)

Then, the probability is given by:

p = 0.7 x 0.7 x 0.7 + 0.7 x 0.2 x 0.6 + 0.3 x 0.6 x 0.8 + 0.3 x 0.4 x 0.6 = 0.643.

0.643 = 64.3% probability that it will rain in the village on Wednesday.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

9

24

27

30

Step-by-step explanation:

f(2) = 3(2) + 3 = 9

f(7) = 3(7) + 3 = 24

f(8) = 3(8) + 3 = 27

f(9) = 3(9) +3 = 30

Hope this helps!

Answer:

it's 11m+5m

Step-by-step explanation:

Rearrange term

6m+5(n+m)

6m+5(m+n)

Distribute

6m+5m+5n

Combine like terms

6m+5m+5n

=11m+5n

Answer: $6812.3

Step-by-step explanation: Just solve decreasing 15% each year

Answer:

3 out of 4 I think

Step-by-step explanation:

because the total amount is 4 so there's a 3/4 chance youll get less than 4

The correct option is C: A number less than or equal to 3 will add one point and A.4 will lose two points.

Given the spinner below in which all regions are equal, which of the following point scales would result in a favorable game

Therefore a spinner is divided into 4 equal sections.

A favorable game is one in which, loosely speaking, there are opportunities for favorable bets.

each section is a different color and is labeled 1 through 4.

red is 1; 2 is blue; 3 is green; 4 is yellow.

The odd-numbered regions will add one point.

The even-numbered regions lose one point.

red will add one point.

any other color will lose one point. a number less than or equal to 3 will add one point.

Therefore the option a and c is correct

C: A number less than or equal to 3 will add one point.

A.4 will lose two points.

Edge

To learn more about the favorable game visit:

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Answer:

A number less than or equal to 3 will add one point.

A 4 will lose two points.

Step-by-step explanation:

The answer above is correct.

Answer:

Step-by-step explanation:

Remark

The way to solve the shaded region is to find the area of the square first and subtract the area of the circle from it.

Area of the square

Area = s^2

s = 12

Area of the square = 12 * 12

Area of the square = 144 yd^2

Area of the circle = pi * r^2

r = d/2

d is actually the same as the side length of the square

r = 12/2

r = 6

pi = 3.14

Area of the circle = pi * 6^2

Area of the circle = 3.14 * 36

Area of the circle = 113.04

Area of the shaded region

Area of shaded region = area of the square - area of circle

Area of shaded region = 144 - 113.04

Answer: Area of the shaded region 30.96

Answer:

[tex]5x^4+5x^3+3x^2-4[/tex]

Answer:

the answer is acute according to this triangle calculator

Hey there!

4 * 7p - 10p

= 4(7p - 10p)

= 4(7p) + 4(-10p)

= 28p - 40p

= -12p

Therefore, your answer is: -12p

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

The most likely dates of the full moons will be C. February 25, March 27, April 25, and May 24.

It should be noted that a full moon simply means the lunar phase when the moon appears illuminated from the perspective of the Earth.

In this case, the most likely dates of the full moons will be February 25, March 27, April 25, May 24. The Full moon usually lasts for a night.

Learn more about moon on:

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Answer:

y = 2 x ± [tex]\sqrt{2}[/tex]   =± 2.8284

Step-by-step explanation:

y*y/4+15-(17)=0

Answer:

[tex]4 + 15 \div y = 17 \\ \\ 4 + 15 = 17y \\ \\ 19 = 17y \\ \\ y = \frac{19}{17} [/tex]

Answer:

x puls four is equal to

Step-by-step explanation:

Answer:

at least 10 visits

Step-by-step explanation:

Given:

75 rewards points for signing up

10.5 points for each visit

Total Number of Points are :

75 + 10.5 · number of visits he makes

How many visits must Tyler make to earn a free movie ticket?

75 + 10.5 · x  ≥ 180 points for a free movie ticket

Where, x is how many visits must Tyler make to earn a free movie ticket

       10.5 · x  ≥ 180 -75

                x  ≥ 105/ 10.5

                 x ≥ 10

Since the number of visits to reach 180 points is 10 then Tyler has to visit the movie theater 10 times or more.

Check our answer:

75 + 10.5 · 10 = 180 will earn him a free movie ticket

Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

A

tyler has a points card for a movie theater.

he receives 75 rewards points just for signing up.

• he earns 10.5 points for each visit to the movie theater.

he needs 180 points for a free movie ticket.

.

a

how many visits must tyler make to earn a free movie ticket?