Arnold borrowed $7890 at 11.5 percent for five years. How much did Arnold Pay in interest?

A.$2,199
B.$2,300
C.$1,150
D.$2.520

Respuesta :

Answer:

Option D. $2520 is correct

Step-by-step explanation:

Principal value = $7890

Rate of interest = 11.5 annually

[tex]\text{Monthly Rate of Interest = }\frac{11.5}{12}=0.96\%=0.0096[/tex]

Time = 5 years

⇒ n = 60 months

[tex]\text{Monthly Payment = }\frac{rate\times \text{Principal value}}{1-(1+r)^{-n}}\\\\\text{Monthly payment = }\frac{0.0096\times 7890}{1-(1+0.0096)^{-60}} \\\\\implies\text{Monthly Payment = }\$173.50[/tex]

Total payment made by Arnold = No. of months × Monthly Payment

⇒ Total Payment = 60 × 173.50

⇒ Total Payment = $10410

Money borrowed = $7890

Hence, Amount of interest = Total payment - Amount borrowed

⇒ Interest = 10410 - 7890

⇒ Interest = $2520

Therefore, Option D. $2520 is correct