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 OVER log (1.0175)

Respuesta :

n = logA - logP over log(1.0175)

A = 1000
P = 1210.26

logA = log(1000) = 3
logP = log(1210.26) = 3.0828786
log(1.0175) = 0.00753

n = (3 - 3.0828686) / 0.00753
n = -0.0828686 / 0.00753
n = -11.005

The debt has been building for 11 months.