Two customers took out automobile loans. Katy took out a 5-year loan for $18,000 and paid 7.00% annual simple interest. Frank took out a 6-year loan for $18,000 and paid 6.00% annual simple interest . What is the difference between the amounts of interest Katy and Frank paid for their loans?

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Answer:

The difference between the amounts of interest Katy and Frank paid for their loans is $180

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

  • P is the amount of the loan
  • r is the interest rate in decimal
  • t is the time

Katy took out a 5-year loan for $18,000 and paid 7.00% annual simple interest

∵ The amount of her loan is $18,000

∴ P = 18,000

∵ The annual simple interest is 7%

∴ r = 7% = 7 ÷ 100 = 0.07

∵ The loan is for 5 years

∴ t = 5

- Substitute these values in the formula above

∴ I = 18,000(0.07)(5)

∴ I = 6,300

Katy will pay $6,300 interest for her loan

Frank took out a 6-year loan for $18,000 and paid 6.00% annual simple interest

∵ The amount of his loan is $18,000

∴ P = 18,000

∵ The annual simple interest is 6%

∴ r = 6% = 6 ÷ 100 = 0.06

∵ The loan is for 6 years

∴ t = 6

- Substitute these values in the formula above

∴ I = 18,000(0.06)(6)

∴ I = 6,480

Frank will pay $6,480 interest for his loan

∵ The difference between their interests = 6,480 - 6,300

∴ The difference between their interests = $180

The difference between the amounts of interest Katy and Frank paid for their loans is $180

Answer:

180

Step-by-step explanation:Apply the formula I = Prt, where I is interest, P is principle, r is rate, and t is time.

I = 18,000(

7

100

)(5) = 18,000(0.07)(5) = 6,300

I = 18,000(

6

100

)(6) = 18,000(0.06)(6) = 6,480

Therefore, 6,480 − 6,300 = 180