$3.$ How many years $($and months$)$ will it take $$2$ million to grow to $$4\mathrm{.}00$ million with an annual interest rate of $7$ percent?

Note: Do not round intermediate calculations. Round "months" to $1$ decimal place.

$4.$ How long will it take $$2,000$ to reach $$3,400$ when it grows at $10$ percent per year?

Note: Do not round intermediate calculations. Round "months" to $1$ decimal place.

$5.$ Determine the interest rate earned on a $$1,750$ deposit when $$2,050$ is paid back in one year.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$6.$ What annual rate of return is earned on a $$1,000$ investment when it grows to $$2,500$ in six years?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$7.$ Ximena received a gift of $$97037$ from her rich aunt, which she is investing at a rate of $6\mathrm{.}8\%.$ How much money will she have in $28$ years, compounding monthly? Round your answer to the nearest $$0\mathrm{.}01.$

$8.$ Sal expects to receive an inheritance of $$217000$ in $15$ years. What is the value in today's dollars of this future income, assuming semi$-$annual compounding at a rate of $3\mathrm{.}5$ percent? Round your answer to the nearest $$0\mathrm{.}01.$

$9.$Compute the present value of $$1,100$ paid in three years using the following discount rates: $7$ percent in the first year, $8$ percent in the second year, and $9$ percent in the third year.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$10.$ What is the value in year $4$ of a $$2,000$ cash flow made in year $6$ if interest rates are $10$ percent?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$11.$ What is the value in year $11$ of a $$220$ cash flow made in year $5$ if interest rates are $12$ percent?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$12.$ How much would be in your savings account in $8$ years after depositing $$330$ today if the bank pays $8$ percent per year?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$13.$ Consider a $$1,000$ deposit earning $7$ percent interest per year for six years.

What is the future value?

How much total interest is earned on the original deposit?

How much is interest earned on interest?

Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.

$14.$A deposit of $$360$ earns the following interest rates:

$9$ percent in the first year.

$7$ percent in the second year.

$6$ percent in the third year.

What would be the third year future value?

Note: Round your answer to $2$ decimal places.

$15.$ What is the present value of a $$380$ payment in one year when the discount rate is $8$ percent?

Note: Round your answer to $2$ decimal places.

$16.$ What is the present value of a $$1,650$ payment made in six years when the discount rate is $8$ percent?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$17.$ Compute the present value of $$500$ paid in three years using the following discount rates: $7$ percent in the first year, $8$ percent in the second year, and $9$ percent in the third year.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$19.$ What is the value in year $11$ of a $$2,400$ cash flow made in year $6$ if interest rates are $8$ percent?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.