Question: Let A(t) = 5000e 0.04t be the balance in a savings account after t years. (a) How much money was originally deposited? (b) What is

Let A(t) = 5000e0.04t be the balance in a savings account after t years.

(a) How much money was originally deposited?

(b) What is the interest rate?

(c) How much money will be in the account after 10 years?

(d) What differential equation is satisfied by y = A(t)?

(e) Use the results of parts (c) and (d) to determine how fast the balance is growing after 10 years.

(f) How large will the balance be when it is growing at the rate of $280 per year?

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