Question

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You want to take out a loan for a car. Initially you are presented with a 4-year loan that has a $350 monthly payment. Another bank presents you with a 5-year loan that has the same interest rate as the 4-year loan.

a. How would the monthly payment of the new 5-year loan compare to the monthly payment of the 4 year loan?

b. How would the total interest paid of the new 5-year loan compare to the total interest paid of the 4 year loan?

(2 pts) You have a rectangular garden that is 20 feet by 15 feet. You ant to divide the garden in two parts by the diagonal of the rectangle. bat is the length of this diagonal?

Answer 1

a. The monthly payment of the 5-year loan would be the same as the monthly payment of the 4-year loan, since they have the same interest rate.

b. Since the 5-year loan has a longer repayment period, the total interest paid on the 5-year loan would be higher than the total interest paid on the 4-year loan. This is because interest is calculated based on the principal amount borrowed, and the longer the repayment period, the more interest will accrue.

As for the second part of the question, the length of the diagonal of a rectangle can be calculated using the Pythagorean theorem. In this case, the length of the diagonal would be:

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d = sqrt(20^2 + 15^2)

d = sqrt(400 + 225)

d = sqrt(625)

d = 25 feet

Therefore, the diagonal of the rectangular garden would be 25 feet long.