$6.$ Suppose that you place $$7,000$ in a bank account each year for the next $20$ years. How much would be in your bank account at the end of the twentieth year if the deposits earned an annual rate of return of $5\%$ each year?

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$7.$ Repeat above question for annuity due.

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$8.$ If you want to accumulate $$90,000$ and you have $$9,000$ saved now, how many years will it take if you pay $$100$ per quarter and your investment account pays $6\mathrm{.}5\%$ compounded quarterly?

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$9.$ What is the present value of a $$150,000$ cash flow to be received at the end of each of the next $10$ years from an account that earns an annual rate of $6\mathrm{.}5\%?$

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$10.$ Repeat above question for annuity due.

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