Math $1050$ Credit Card Debt Assignment Name $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

You have received your monthly credit card statement and must now deal with the financial realities of last month$$s

birthday celebration. While your milestone in years was deserving of a celebration, dealing with the $$2000$ in credit card

charges will require some planning.

Your credit card statement lists the APR $($Annual Percentage Rate$)$ for your balance to be $14\mathrm{.}4\%.$ This is the yearly

interest rate the credit card company uses in calculating interest due on your balance. The credit card company

compounds interest monthly. Your monthly interest rate on credit card charges will be:$0\mathrm{.}1440\mathrm{.}012$

$1212$

APR

i $===$

The minimum payment required by your credit card company is $$25/$month$.$ Assuming that you do not make any new

charges to your account, answer the following questions to help you determine the best plan for paying off this credit

card debt.

$1.$ To begin with, let$$s check out the plan of only paying the minimum amount due each month. To get a feel for how

this will affect the balance, finish filling in the following table using the minimum monthly payment of $$25.$ Round

each answer to the nearest cent.

Month Old Balance Interest Payment New Balance

$1$ $$2000\mathrm{.}00$ $$24\mathrm{.}00$ $$25\mathrm{.}00$ $$1999\mathrm{.}00$

$2$ $$1999\mathrm{.}00$ $$23\mathrm{.}99$ $$25\mathrm{.}00$ $$1997\mathrm{.}99$

$3$ $$1997\mathrm{.}99$ $$25\mathrm{.}00$

$4$ $$25\mathrm{.}00$

$5$ $$25\mathrm{.}00$

$6$ $$25\mathrm{.}00$

$7$ $$25\mathrm{.}00$

$8$ $$25\mathrm{.}00$

$9$ $$25\mathrm{.}00$

$10$ $$25\mathrm{.}00$

$11$ $$25\mathrm{.}00$

$12$ $$25\mathrm{.}00$

$2.$ What is the total amount that has been paid to the credit card company at the end of the first year?

$3.$ How much of the original balance has been paid off at the end of the first year?

Math $1050$ Credit Card Debt Assignment Name $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$4.$ From looking at the new balances over the first year, how many years do you think it will take to pay off the $$2000?$

$($This is a guess so there is no wrong answer. Before moving on$,$ write down your best estimate.$)$

$5.$ A formula for calculating the payment,P $,$ required to pay off a debt of amountD inM months with monthly

interest ratei is$()$

$11$ M

D i

P i $$

$$

$=+$

Solve this formula forM $,$ whereM is the number of months it will take to pay off a debtD $.$ Attach all your work in

solving forM to the end of this assignment.M $=$

$6.$ Use your formula forM to fill in the following table for the given values ofP $,$ using$$2000\mathrm{.}00$D $=$ and$0\mathrm{.}012$i $=.$

Attach all your work to the end of this assignment.

Monthly PaymentP $$25\mathrm{.}00$ $$50\mathrm{.}00$ $$75\mathrm{.}00$

Number of Months to Pay off Debt

$($Round to two decimal places.$)$

Number of Years to Pay off Debt

$($Round to nearest tenth of a year.$)$

Total Amount Paid to Credit Card Company

$($Round to nearest dollar.$)$

$7.($a$)$ How large would your monthly payment have to be in order to pay off your debt in $12$ months? Round up to the

next nearest cent.

$($b$)$ What is the total amount paid to the credit card company, rounded to the nearest dollar?

Math $1050$ Credit Card Debt Assignment Name $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$8.$ What is the best plan for paying off the $$2000?$ Why?

$9.$ What is the worst plan? Why?

$10.$ What should you do if you cannot afford to make the payments required by the best plan?

$11.$ What are two things that the average consumer can learn by completing this assignment?

i$.$