$$ You would like to start saving for

retirement. Assuming you are now $22$ years old and you want to

retire at age $60,$ you have $38$ years to watch your investment

grow. You decide to invest in the stock market, which you expect

it to earn about $10\%$ per year into the future. You decide to

invest $$300$ at the end of each month for the next $38$ years $(456$

months$).$ Calculate your accumulated investment at the end of

$38$ years. $($Round to nearest whole dollar$)$

$

You want to buy a $$35,000$ car today, but you don't

have the cash to buy it$.$ The dealership is offering to loan you the

money at $7\%$ interest with payments made monthly for the next five

years. If you choose to buy the car, what is your monthly car

payment $($round to nearest dollar$)?$

$ You want to start saving now so you have cash to

buy a $$40,000$ car in four years. You can earn $8\%$ interest on your

monthly payments. How much must you save each month to

achieve your $$40,000$ goal in $4$ years $($round to nearest dollar$)?$

You decide to save $$500$ every month for the next

five years so you can start a small business. You are investing the

money and can earn $9\%.$ How much will you have saved by the end

of the five years $($round to nearest dollar$)?$

$

You won $$75,000,$ after taxes have been taken out,

from a scratch$-$off lottery ticket. You decide to invest the money, so

you have a down payment for a home in $3$ years. Your expected

annual return is $9\%$; how much will you have for a down payment in

$3$ years $($round to nearest dollar$)?$