SOLUTION: 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?

Algebra.Com
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?

Answer by Edwin McCravy(20056)   (Show Source): 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

RELATED QUESTIONS

Cecelia Thomas is a sales executive at a Baltimore firm. She is 25 years old and plans to (answered by ikleyn)
The annual interest on an $18,000 investment exceeds the interest earned on an $8000... (answered by stanbon)
The annual interest on an $11,000 investment exceeds the interest earned on an $8000... (answered by greenestamps)
She is 25 years old and plans to invest $4,600 every year in an IRA account, beginning at (answered by Boreal)
The annual interest on a $13,000 investment exceeds the interest earned on an $8000... (answered by richwmiller)
The annual interest on a $10,000 investment exceeds the interest earned on an $8000... (answered by macston)
The annual interest on a $9000 investment exceeds the interest earned on an $8000... (answered by advanced_Learner,MathTherapy)
The annual interest on an $8000 investment exceeds the interest earned on a $2000... (answered by advanced_Learner)
The annual interest on an $8000 investment exceeds the interest earned on a $2000... (answered by Boreal)