Multiple choice

Find the monthly payment of a person who secures a loan of $ $4,000$ which he will pay back in $36$ months with a monthly interest rate of $0.01$ such that $M = \dfrac {rP}{1 - \left (\dfrac {1}{1 + r}\right )^{t}}$ where $M$ is the monthly payment, $r$ is the monthly decimal interest rate, $P$ is the amount borrowed and $t$ is the number of months it will take to repay the loan.

  1. $ $111.11$
  2. $ $119.32$
  3. $ $132.86$
  4. $ $147.16$
  5. $ $175.89$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the formula M = (0.01 * 4000) / (1 - (1 / 1.01)^36). 1.01^36 is approx 1.430768. (1/1.01)^36 is approx 0.6989. Denominator = 1 - 0.6989 = 0.3011. M = 40 / 0.3011 = 132.846.

AI explanation

Substituting the given values into the loan payment formula, we get M = (0.01 * 4000) / (1 - (1 / (1 + 0.01))^36), which simplifies to 40 / (1 - (1 / 1.01)^36). This evaluates to 40 / (1 - 0.6989), yielding approximately 132.86.