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Vlad purchased some furniture for his apartment. The total cost was $ 2943.37. He paid $ 850 down and financed the rest for 18...Asked by justin
vlad purchased some furniture for his apartment. The total cost was $2942.37. He paid $850 down and financed the rest for 18 months. At the end of the finance period. Vlad owed 2147.48. What annual interest rate compounded monthly eas he being charged? round your answers to two decimal places
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Answered by
Reiny
balance owing now = 2942.37 - 850 = 2092.37
so let the monthly rate be i
2092.37(1+i)^18 = 2147.48
(1+i)^18 = 1.026338554
take 18th root on your calculator
1+i = 1.026338554^(1/18) = 1.0014453..
i = .0014453...
12i = .0173443
He was charged appr 1.73 % per annum compounded monthly
so let the monthly rate be i
2092.37(1+i)^18 = 2147.48
(1+i)^18 = 1.026338554
take 18th root on your calculator
1+i = 1.026338554^(1/18) = 1.0014453..
i = .0014453...
12i = .0173443
He was charged appr 1.73 % per annum compounded monthly