You start a landscaping business as a side job the summer before starting your engineering program. You estimate that you can earn $$180$ a week doing lawns for $12$ weeks each

summer. You plan to invest your earnings in an account that has an interest rate of $3\mathrm{.}9\%$ compounded annually.

a$.$ If your program takes you three years to complete, how much will your savings be worth when you graduate?

Investing your weekly earnings into an account earning $3\mathrm{.}9\%$ interest will give you $ after three years.

$($Round to the nearest cent as needed.$)$

b$.$ You expand your business to include raking leaves and shoveling driveways. You can now charge your clients a monthly fee throughout the year, earning you $$180$ per week each

week of the year. What is your projected future value after three years, assuming the interest rate remains $3\mathrm{.}9\%?$

The future value is $

$($Round to the nearest cent as needed.$)$

c$.$ Your market research indicates that you will have to reduce your weekly price to attract annual customers. You will instead earn $$120$ per week. What will your total savings now be

by the time you graduate?

The future value is $

$($Round to the nearest cent as needed.$)$