Computing Four Present Value Problems

On January $1$ of this year, Skamania Company completed the following transactions $($assume a $10$ percent

annual interest rate$)$:

a$.$ Bought a delivery truck and agreed to pay $$60,000$ at the end of three years.

b$.$ Rented an office building and was given the option of paying $$10,000$ at the end of each of the next

three years or paying $$28,000$ immediately.

c$.$ Established a savings account by depositing a single amount that will increase to $$90,000$ at the end of

seven years.

d$.$ Decided to deposit a single sum in the bank that will provide $10$ equal annual year$-$end payments of

$$40,000$ to a retired employee $($payments starting December $31$ of this year$).$

Required $($show computations and round to the nearest dollar$)$:

$1.$ In $($a$),$ what is the cost of the truck that should be recorded at the time of purchase?

$2.$ In $($b$),$ which option for the office building results in the lowest present value?

$3.$ In $($c$),$ what single amount must be deposited in this account on January $1$ of this year?

$4.$ In $($d$),$ what single sum must be deposited in the bank on January $1$ of this year?