Jackson and olivia deposited $9,047.00 into a savings account which earns interest compounded monthly. after 8 months, they had $9,779.00 in the account which they used to go on a trip. what was the interest rate on the account?
round your answer to the nearest tenth of a percent.

  11.7%

Step-by-step explanation:

The account balance (A) for a principal amount P and monthly interest rate r will be ...

  A = P(1 +r)^8

Then we can divide by P and take the 8th root to find r:

  A/P = (1+r)^8

  (A/P)^(1/8) = 1 +r

  (A/P)^(1/8) - 1 = r

Since this is the monthly rate, we need to multiply this value by 12 to find the annual interest rate on the account:

  annual rate = 12((A/P)^(1/8) -1) = 12((9779/9047)^(1/8) -1) ≈ 0.11728 ≈ 11.7%

14

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!