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)

Question

kropot72 · Answer

The numerator simplifies to (log (1000/1210.26) = -0.08287868
Divide the result by log(1.0175) to get -11 months

anonymous · Answer

Also How many additional months will it take until the debt exceeds $1420?

kropot72 · Answer

Sustitute  and calculate using the value of $1420 for A:
The result is it will take a total of -20 months for the debt to reach $1420.
Therefore it will take an additional -(21-11)=-10 months for the debt to exceed $1420