John di Silvestre obtained a loan to buy a cello for $8,400. He pays 12% exact interest on the loan for 146 days. What is the amount of interest owed and the maturity value of the loan? A) $1,680.00 interest; $10,080.00 maturity value B) $1,008.00 interest; $9,408.00 maturity value C) $3,360.00 interest; $11,360.00 maturity value D) $403.20 interest; $8,803.20 maturity value

Question

Mathematics

Jaidyn

18 June, 14:44

John di Silvestre obtained a loan to buy a cello for $8,400. He pays 12% exact interest on the loan for 146 days. What is the amount of interest owed and the maturity value of the loan? A) $1,680.00 interest; $10,080.00 maturity value B) $1,008.00 interest; $9,408.00 maturity value C) $3,360.00 interest; $11,360.00 maturity value D) $403.20 interest; $8,803.20 maturity value

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Sonny Hendrix · Answer 1

Normally when they tell you interest rate they say per annum meaning the percent interest rate for a year.

But in this problem they seem to say John pays 12% for a 146 day loan.

So interest = P * r / 100 = 8400 * 12/100 = $1,008.00

Maturity value = Principal + Interest = 8400 + 1008 = $9,408.00