Section $7$:

Suppose we deposit $$7000$ into an investment account. What amount will our account have after $15$ years if it is invested at an annual rate of $5\%$ compounded quarterly.

We deposit $$2,000$ into an account earning $6\%$ interest compounded semiannually. How many years will it take for the account grows to $$5,000?$

Suppose we deposit $$3,000$ into an investment account. How much will our account have after $8$ years if it earns interest at an annual interest rate of $4\%$ compounded continuously?

How long will it take for an investment of $$40,000$ to grow to $$120,000$ at the rate of $5\mathrm{.}75\%$ compounded continuously?

Assume that the yearly rate of price inflation for housing in the the next ten years is $3\mathrm{.}5\%$ and assume that this is compounded annually. A house costing $$780,000$ today will cost more in ten year. How much will it cost in ten years?

A bank offers $12\mathrm{.}0\%$ interest compounded quarterly. What is the equivalent annual simple interest $($yield$)?$

A bank offers $4\mathrm{.}25\%$ interest compounded continuously. What is the equivalent annual simple interest $($yield$)?$

What is the present value of a cash flow of $$90,000$ in an account earning $6\%.$