At the end of a 10-year loan, $13,570 had
been paid in interest. if the initial loan
amount was $23,000, find the interest rate.

5.9%

Step-by-step explanation:

Assuming simple interest compounded annually,

Final Amount = Initial amount [ 1 + (interest rate)(number of years) ]

or mathematically

A = P (1 + rt)

in our case, we are given

A = Initial Amount + Interest = $23,000 + $13,570 = $36,570

P = $23,000

t = 10 years

Substituting this into the equation for simple interest,

36,570 = 23,000 (1 + 10r)      (divide both sides by 23,000 and rearrange)

(1 + 10r) = 36,570 / 23,000

(1 + 10r) = 1.59   (subtract 1 from bot sides)

10r = 1.59 - 1

10r = 0.59  (divide both sides by 10)

r = 0.59 / 10

r = 0.059

hence the interest rate expressed as percentage is,

0.059 x 100% = 5.9%

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

entering that problem on the tube might get you an answer