Consider a home mortgage of $250,000 at a fixed APR of 4.5% for 25 years.a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount paid, what percentage is paid toward the principal and what
percentage is paid for interest.
a. The monthly payment is $
(Do not round until the final answer. Then round to the nearest çent as needed.)

Answers

Answer 1
Answer:

Answer: 1,389.58

M is the monthly payment.

P is the principal loan amount (in this case, $250,000).

r is the monthly interest rate (annual rate divided by 12). For an APR of 4.5%,

=

0.045

12

r=

12

0.045

.

n is the total number of payments (number of years multiplied by 12). For 25 years,

=

25

×

12

n=25×12.


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Kendra is participating in a fundraiser walk-a-thon she walks 4 miles in 60 minutes how many minutes will it take to walk 7 miles

Answers

Answer:

105 min

Step-by-step explanation:

60 minutes ÷ 4 miles= 15 minutes per mile

15min per mile x 7 miles = 105 minutes

Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.City A: {4, 3.5, 5, 5.5, 4, 2}
City B: {5, 6, 3.5, 5.5, 4, 6}
(a) What is the mean monthly rainfall amount for each city?
(b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth.
(c) What is the median for each city?

Answers

Answer:

City A: {2, 3.5, 4, 4, 5, 5.5}

City B: {3.5, 4, 5, 5.5, 6, 6}

Mean is the average.

Average of City A = 4 (2+3.5+4+4+5+5.5 = 24 and 24/6 = 4)

Average of City B = 5 (3.5+4+5+5.5+6+6 = 30 and 30/6 = 5)

Mean Absolute Deviation

Mean Absolute Deviation of City A = 0.8

Mean Absolute Deviation of City B = 0.8

Median is the middle (after putting it in order least to greatest)

Median of City A = 4

Median of City B = 5.25 (5+5.5 = 10.5 and 10.5/2 =5.25)

Step-by-step explanation:

hope this helps!

add using the number line. ​ −3+11 ​ Drag and drop the word Sum to the correct value on the number line.

Answers

Answer:

the number line is attached below

Step-by-step explanation:

add using the number line. ​ −3+11

Use the number line to add the numbers

Start at -3 on number line. then to add 11, move 11 units to the right

From -3, move 11 units the right. we reach at 8 on the number line

So -3+11 is 8

The number line is attached below

Answer:

-3 + 11 = 8

Step-by-step explanation:

Just plot 8 on the number line.

Divide write the quotient in lowest term 1 1/3 divided by 1 3/4

Answers

Answer:

7/3  or 2 1/3

Step-by-step explanation:

1 1/3 ÷ 1  3/4

Change to improper fractions

(3*1+1)/3 ÷ (4*1+3)/4

4/3 ÷ 7/4

Copy dot flip

4/3 * 7/4

Rewriting

4/4 * 7/3

7/3

As a mixed number

2 1/3

Answer:

11/3÷13/4

11/3×4/13

44/39=

1.1282

Which expression represents the perimeter of thetrapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8

Answers

Final answer:

The correct option is c.

The total length, or perimeter, of the trapezoid is calculated by adding the lengths of its sides. Once we add and simplify the like terms, we find that the expression representing the perimeter of the trapezoid is 15x + 6.

Explanation:

The perimeter of a shape is calculated by adding up the lengths of all its sides. In the case of a trapezoid with sides of length: 5x, 2x - 1, 2x + 3, 6x + 4, the total length, or the perimeter, would be the sum of these four sides.

To calculate the perimeter, we simply add the lengths of the sides: 5x + (2x - 1) + (2x + 3) + (6x + 4).

When we simplify this, we first combine like terms, which are the x's and the constants. Combining the x terms 5x, 2x, 2x, and 6x gives us 15x. Next, we combine the constants -1, 3, and 4 which gives us + 6. Therefore, the expression representing the perimeter of the trapezoid is 15x + 6, that is answer option c.

Learn more about Perimeter of Trapezoid here:

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The complete question is:

Which expression represents the perimeter of the trapezoid whose length of sides are:

5x, 2x - 1, 2x + 3, 6x +4


a. 11x + 4

b. 4x + 2

c. 15x + 6

d. 13x + 8

Answer: 15x + 6
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6

Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall. Write and evaluate an expression to find how many balloons Sarah has left.​

Answers

The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.

What is a Fraction?

A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.

The total number of packages = 8

Number of balloons in each package = 20.

The portion of balloons use to decorate hall = 1/4.

Suppose the remaining balloons are x.

Thus the expression for remaining balloons can be written as,

x = 20 × 8 - 1/4×(20 × 8)

x = 160 - 40

  = 120.

Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).

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Answer:

(8 × 20) ÷ 4

40

Step-by-step explanation:

8 × 20 = 160

160/4 = 40