Question

PLEASE HELP

For a certain credit card, given a starting balance of P and an ending balance of A, the function below gives the number of months n that have passed, assuming that no payments or additional purchases occurred during that time. Suppose you started with a debt of $1000 and now owe $1210.26. The debt has been building for ___ months. Round to the nearest whole month. (Hint: First simplify the numerator by hand, using the properties of logarithms. Then use a calculator to evaluate the numerator divided by the denominator to find the value of n.)

N = log A − log P / log(1.0175)

Answer 1

I believe this is the right way to write the function

N = [log A − log P] / log(1.0175)

N =[ log (1210.26) - log (1000)]/log (1.0175)

N =log [1210.26/1000] / log (1.0175) = log (1.21026)/log(1.0175) = 0.08288/0.00753 = 11

N = 11 months