Question

A friend asks to borrow $53 from you and in return will pay you $56 in one year. If your bank is offering a 5.7% interest rate on deposits and loans a. How much would you have in one year if you deposited the $53 instead? b. How much money could you borrow today if you pay the bank $56 in one year? c. Should you loan the money to your friend or deposit it in the bank? a. How much would you have in one year if you deposited the S53 instead? If you deposit the money in the bank today you will have Sin one year. (Round to the nearest cent)

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Answer #1
The interest rate on deposits and loans is 5.7%
a) If you deposit $53 in the bank you will have
53*(1.057) in one year
You will have $56.021 in one year
b) If you pay the bank $56 in one year, lets say you have taken
a loan of x dollars.
The interest rate on that loan is 5.7%.
x*(1.057) = 56
x = 56/(1.057)
x = 52.98
If you pay the bank $56 in one year, you could borrow $52.98 today.
c) If you loan the money ($53) to your friend you will have $56 in one year.
However, if you deposit the money ($53) in the bank you will have $56.021 in one year.
So deposit the money in the bank.
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