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the credit car e annual interest rate on a credit card is 16.99%. If a pay- interest per qu Th ent of $100.00 is made each month, how long will it take to ch isio he pay off an unpaid balance of $2,487.56? A woman bon ments. For ua interest paid paid during t of the loan. and after 24 34. The annual interest rate on a credit card is 24.99%. If a payment of $100.00 is made each month, how long willit take to pay off an unpaid balance of $2,487.56? 46. A man estal nimum payment of $20 is made each month, how long will ing $00 annual interest rate on a credit card is 14.99%. Ifthe it take to pay off an unpaid balance of $937.14 monthly E month for zero balan : 2 00% If the

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Answer #1

33)

The number of monthly payment should be such that the present value of monthly payment be equal to the unpaid balance.

$2,487.56 16.99% Unpaid Balance Interest rate Monthlv interest Monthly Payment 1.42%-D4/12 $100 Number of monthly payment should be such that the present value of monthly payment be equal to the unpaid balance 10 $100.00 Monthly Payment (P) Number of payment (n) Monthly Interest rate (i) PV of the Amount 1.42% $2,487.56 12 13 14 15 16 17 Present value of annuity is given as follows: PV of annuity- 1- 19 Where P is payment per period, i rate for the period and n is the number of period 21 Using the Data above: 23 24 of annuity 26 27 $100 $2487.56 = 1.42%기 1-0-1 42% 29 31 Solving the above equation n can be found as below: 32 31 =LN(1/(1-(D13*D12/D10)))/LN(1+012) Hence number of months required is 31 35

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