Damian invested $880 in an account paying an interest rate of 5.2% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $1,290?

7.5 years

Step-by-step explanation:

Given:

Investment P = $880Interest rate r = 5.2% = 0.052 timesCompound number n = 1 (annual)Time t = ?Final amount A = $1290

The equation is below, solve for t:

A = P(1 + r/)^(nt) 1290 = 880(1 + 0.052)^t1.052^t = 1290/8801.052^t = 1.4659t = log 1.4659 / log 1.052t = 7.5 years (rounded)

1. isolate the variable, in this case, d. subtract 35.5 on both sides of the equation.2. 52 subtracted by 35.5 is 16.53. therefore your answer would be d= 16.5this is the basics of pre algebra, isolating variable through adding, subtracting, multiplying, and dividing, if you have any other questions to ask just comment!