Question 244452: If an investment of $8000 increases by 15 percent at the end of each year, what is the fewest number of years until it doubles in value?
You can put this solution on YOUR website! If an investment of $8000 increases by 15 percent at the end of each year, what is the fewest number of years until it doubles in value?
If it increases by 15% it becomes 115% of what it was before. To take 115% of
something is to multiply it by 1.15. So we want to know how many times
we must multiply $8000 by 1.15 until it just becomes $16000, or first exceeds
it. Let that number be n. Then to get the approximate nu,ber of years
Take the log of both sides:
Divide both sides by
or in 4 years it would be under $16000 and in 5 years
it would be over $16000.
Edwin