You have maxed out your credit card and owe

$$5,000.$ Its interest rate is $24\%.$ Each month, you

make the minimum required payment of $$40.$

a$.$ During the January $10$ through February $9$ billing

period, you pay the minimum required payment

on January $25.$ Find the average daily balance, the

finance charge, and the new balance. $($The new

balance includes the finance charge.$)$

b$.$ During the February $10$ through March $9$ billing

period, you pay the minimum required payment

on March $3.$ Find the average daily balance, the

finance charge, and the new balance.

c$.$ During the March $10$ through April $9$ billing

period, you pay the minimum required payment on

March $31.$ Find the average daily balance, the

finance charge, and the new balance.

d$.$ Discuss the impact of making the minimum

required payment, both on yourself and on the

credit card issuer.