A$.$ To save for retirement you deposit $$200$ every month for $40$ years into an account that pays $5\mathrm{.}2\%$ interest. How much money will be in the account when you retire? $(3$pts$)$

B$.$ The money from "Part A$"$ is transferred into an account that pays $5\mathrm{.}6\%.$ How much money can you withdraw monthly for $28$ years? $(3$pts$)$

C$.$ How much total is deposited into the account in part A$?(2$pts$)$

D$.$ How much total would be withdrawn from the account in part $B,$ assuming all withdrawals are made? $(2$pts$)$

$5.$

You are about to purchase a car for $$23\mathrm{.}400.$ You have $$14\mathrm{.}400$ to put down and will need to finance the rest. The dealership has two options

A $0\%$ interest loan with monthly payments for $3$ years

$$1000$ cash back with an interest rate of $5\mathrm{.}9\%$ and monthly payments for $3$ years

A$.$ Before doing any calculations, which do you think will be the better option? $(2$ pts$)$

B$.$ Perform the necessary calculations to determine which is the better option. You must show your work to justify your choice. $(4$pts$)$

C$.$ What have you learned from this example? $(2$pts$)$