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?

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

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

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

2x + 8

step-by-step explanation: