C$5$ TIME VALUE $***$ PLEASE ANSWER ACCORDING TO EVERYTHING THAT NEEDS TO BE ANSWERED$/$ CORRECTED ON THE PICTURE TO GET A POSITIVE FEEDBACK $***$a$.$ Find the FV of $$1,000$ invested to earn $8\%$ after $4$ years. Round your answer to the nearest cent.

$

b$.$ What is the investment's FV at rates of $0\%,5\%,$ and $25\%$ after $0,1,2,3,4,$ and $5$ years? Round your answers to the nearest cent.

c$.$ Find the PV of $$1,000$ due in $4$ years if the discount rate is $8\%.$ Round your answer to the nearest cent.

d$.$ A security has a cost of $$1,000$ and will return $$4,000$ after $4$ years. What rate of return does the security provide? Round your answer to two decimal places.

e$.$ Suppose California's population is $36\mathrm{.}2$ million people, and its population is expected to grow by $3\%$ annually. How long will it take for the population to double?

Round your answer to the nearest whole number.

years

f$.$ Find the PV of an ordinary annuity that pays $$1,000$ each of the next $4$ years if the interest rate is $11\%.$ Then find the FV of that same annuity. Round your answe

the nearest cent.

PV of ordinary annuity: $

FV of ordinary annuity: $

g$.$ How will the PV and FV of the annuity in part f change if it is an annuity due rather than an ordinary annuity? Round your answers to the nearest cent.

PV of annuity due: $

FV of annuity due: $