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%

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .