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Part $1$

A friend asks to borrow $$$$50\mathrm{.}0050\mathrm{.}00$ from you and in return will pay you $$$$53\mathrm{.}0053\mathrm{.}00$ in one year. If your bank is offering a $6\mathrm{.}1\%6\mathrm{.}1\%$ interest rate on deposits and$$ loans:

a$.$ How much would you have in one year if you deposited the $$$$50\mathrm{.}0050\mathrm{.}00$instead$?$

b$.$ How much money could you borrow today if you pay the bank $$$$53\mathrm{.}0053\mathrm{.}00$ in one$$ year?

c$.$ Should you loan the money to your friend or deposit it in the$$ bank?