Use the balances in a $30$ day billing cycle below to answer the questions. Assume the interest from previous billing

cycle is include in starting account balance.

Choose a starting account balance between $$1,001$ and $$1,999$:

Day in Billing Cycle Transaction

$4$

$16$

$25$

Purchase: $$250$

Payment: $$400$

Purchase: $$132$

a$)$ First, find the unpaid balance for the month. Then find the finance charge for the month if the monthly interest

rate is $1\mathrm{.}8\%$ and interest is calculated according to the unpaid balance method.

b$)$ Assume no payment is applied to the account on day $16.$ Find the finance charge for the month if the monthly

interest rate is $1\mathrm{.}8\%$ and interest is calculated according to the unpaid balance method. Also find the total charge

if a $$35$ late fee is included. Lastly, find the day $1$ balance for the next billing cycle.