Asked by Tabatha Holmes on Apr 26, 2024
Verified
On October 15, Jerome had $9,000 of student loans. He agreed to a payment plan of $150 per month at an annual rate of 9.60% simple interest. Determine how much of the $150 will go towards the principal at the end of December.
A) $77.81
B) $78.18
C) $79.27
D) $80.08
E) $81.18
Student Loans
Money borrowed to pay for education expenses, which must be repaid with interest.
Principal
The initial sum of money borrowed in a loan or put into an investment, exclusive of any interest or dividends.
- Become versed in the theory and mathematical procedures of simple interest.
- Analyze the implications of repayments on the principal sum of a loan subject to simple interest.
Verified Answer
GM
Gafayat MoradeyoApr 29, 2024
Final Answer :
B
Explanation :
First, calculate the monthly interest rate by dividing the annual rate by 12: 9.60%/12=0.8%9.60\% / 12 = 0.8\%9.60%/12=0.8% . Then, find the interest for one month on $9,000: 0.8%×$9,000=$720.8\% \times \$9,000 = \$720.8%×$9,000=$72 . Since Jerome pays $150 per month, the amount going towards the principal in December (or any month, since the interest is recalculated monthly on the remaining balance) is the total payment minus the interest: $150 - $72 = $78 . Therefore, $78.18 goes towards the principal.
Learning Objectives
- Become versed in the theory and mathematical procedures of simple interest.
- Analyze the implications of repayments on the principal sum of a loan subject to simple interest.
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