You have purchased a new warehouse. To finance the purchase, you’ve arranged for a 25-year mortgage for 75 percent of the $4,200,000 purchase price. The monthly payment on this loan will be $18,300. What is the APR on this loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

Answer 1

Answer:

\begin{aligned}Payment=183000\\ \cos t=4200000\cdot 0,75\% =3150000=c\\ Payment=C\dfrac {\left( 1+i\right) ^{n}\cdot i}{\left( 1+i\right) ^{n}-1}\\ n=25years\times \dfrac {12manths}{1year}=300months\\ 18300=3150000\cdot \dfrac {\left( 1+i\right) ^{300}\cdot i}{\left( 1+i\right) ^{300}\cdot i}\\ i=0,0041\\ i is the monhly interest_{i}\\ i\times 12months=APR\\ APR=0,0123=1,23%\end{aligned}

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A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

Answers

The volume of the cylinder 1,570 square meter. This is calculated using the formula volume is equal to height times Pi times radius squared. We first solve the radius which is 5 meters times 4 equals to 20 meters, this is the diameter of cylinder. But we need the radius, so 20 meters divided by 2 is equals to 10. Then substituting the given figure to the formula, Volume = 5 (3.14) (10), it will give us 1,570 square meter.

Expand the following 4/5 (20x - 10)

Answers

Answer:

The required answer is $16x-8$ .

Step-by-step explanation:

Consider the provided expression 4/5 (20x - 10)

The above expression can be written as:

$(4)/(5)(20x-10)$

Now, use the distributive property:

Distributive property: a(b+c)=ab+ac

Use the above property

$(4)/(5)* 20x-(4)/(5)* 10$

$4* 4x-4 * 2$

$16x-8$

Hence, the required answer is $16x-8$ .

4/5 (20x - 10)...use distributive property...basically multiplying the 4/5 by everything in the parenthesis,

4/5 * 20x - 4/5 * 10 =
16x - 8

A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. He digs a trench 1.5 ft. wide by 1 ft. deep by 150 ft. in length. What is his pay for this job?213.75
236.84
256.50
284.21

Answers

1.5 ft x 1ft x150ft =225 cubic feet

225ft x $0.95=$213.75

Are 8/12 equivalent to 4/6 explain why

Answers

Yes because when the lower form of 8/12 is 4/6. Try to divide 8/12 by 2

Yes. times 4 by 2, and 6 by 2. It equals 8/12'ths. Alternatively, you can do 8/12 divided by two, and you'll got 4/6, or divide again by two, to get 2/3

For a science experiment, Mr. Barrows divides 3/4 cup of salt into small jars, each containing 1/10 cup. If he has 1/7 cup of salt left over, how many jars does he fill? Enter an expression you could use to solve the problem.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Initial cup of salt = 3/4 cups ; divided into small jars

Fraction of salt in small jars = 1/10 cup

Fraction left over = 1/7 cup

Number of jars filled?

The fraction divided into the jars :

Initial amount - left over

3/4 - 1/7

(21 - 4) / 28

17 / 28

Fraction of salt per jar = 1/10

Number of jars filled :

Total fraction divided into jars / fraction of salt per jar :

(17 / 28) ÷ (1 /10)

(17 / 28) * (10 / 1)

170 / 28

= 6.0714

= 6 jars

Jorge wants to write 4/5 as a sum of unit fractions.

Answers

Unit fractions are fractions whose numerators are 1 and whose denominators are positive integers.

4/5 written as a sum of unit fractions is:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

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