Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

**Is my answer right guys :c Sandy purchased a dining room set for $1,140 using a 12-month deferred payment plan with an interest rate of 26.78%. She did not make any payments during the deferment period. What will the total cost of the dining room set be if she must pay off the dining room set within two years after the deferment period? $1,140.00 $1,485.70<--- $1,935.12 $2,902.68

OpenStudy (anonymous):

I used http://www.asa.org/repay/calculators/defer/

OpenStudy (ivettef365):

did you try solving it on that website

jimthompson5910 (jim_thompson5910):

$1,485.70 is the balance after the deferment period is over

jimthompson5910 (jim_thompson5910):

this is NOT the total cost since the total cost will be higher

jimthompson5910 (jim_thompson5910):

you basically have this timeline |dw:1372368721170:dw|

jimthompson5910 (jim_thompson5910):

point A is the point in time when you purchased the dining room set (so your balance goes from $0 to $1,140) The period between point A and B is known as the deferment period. This is when you don't have to make any payments at all. Keep in mind that interest is still accruing here. At point B is when the deferment period is over and when you have to start making payments. At point B, the balance is $1,485.70 Point C is when you have fully paid off the entire debt. The balance at point C is $0 and the total amount you paid back (principal + interest) is the total cost of the dining set.

OpenStudy (anonymous):

O.o I don't get it . Can I get the formula

jimthompson5910 (jim_thompson5910):

think of $1,485.70 as the starting balance (not $1,140 as the starting balance) it's not the same as the total cost because you've yet to pay interest on it

jimthompson5910 (jim_thompson5910):

my suggestion is to find the monthly payment, then use this to find the total cost

jimthompson5910 (jim_thompson5910):

if you're still stuck, then use this formula P = L((r/n)*(1 + r/n)^(n*t))/((1 + r/n)^(n*t) - 1) where, P = monthly payment L = total amount loaned or amortized r = annual interest rate (APR) n = number of times interest is compounded per year (compounding frequency) t = time in years

OpenStudy (anonymous):

what will be my loan amount ?

jimthompson5910 (jim_thompson5910):

the loan amount is the starting balance (after the deferment period is over), so L = 1485.70

OpenStudy (anonymous):

and Principal = 1,140 ?

jimthompson5910 (jim_thompson5910):

use these values P = unknown L = 1485.70 r = 0.2678 n = 12 t = 2

OpenStudy (anonymous):

I did , I plug them into or did i plug them in wrong ?

jimthompson5910 (jim_thompson5910):

yeah you plugged them in wrong unfortunately

OpenStudy (anonymous):

I got it is my answer 1,935.12 ?

OpenStudy (anonymous):

I got 1936.24 on the calculator

jimthompson5910 (jim_thompson5910):

that's way too high for the monthly payment

jimthompson5910 (jim_thompson5910):

what did you get for the monthly payment?

OpenStudy (anonymous):

I used this http://easycalculation.com/mortgage/loan-balance.php

jimthompson5910 (jim_thompson5910):

you use that calculator if you know the monthly payment

jimthompson5910 (jim_thompson5910):

but we don't know that yet

OpenStudy (anonymous):

how do I get the monthly payment ?

jimthompson5910 (jim_thompson5910):

that calculator says it's used "to calculate the loan balance after n payments"

jimthompson5910 (jim_thompson5910):

use the formula I gave you and keep the parenthesis in mind

OpenStudy (anonymous):

I did I got 32.1559

OpenStudy (anonymous):

@jim_thompson5910 $1,140.00 ?

jimthompson5910 (jim_thompson5910):

use this calculator to figure out the monthly payment http://www.bankrate.com/calculators/mortgages/loan-calculator.aspx

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!