Question 1078264
Account A and B each start out with $500.
 If Account A earns $50 each year and Account B earns 5% of its value each year, after how many years will Account B have more money than Account A?
 If necessary, round your answer to the nearest year.
:
Let y = no. years for this to be true
500*1.05^y > 500 + 50y
1.05^y > {{{(500+50y)/500}}}
1.05^y > 1 + .1y
1.05^y -.1y - 1 = 0 Graphically
{{{ graph( 300, 200, -10, 50, -2, 4, 1.05^x-.1x-1) }}}
"After about" 27 yrs "years Account B will have more money than Account A."
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:
Check this on the your calc
Account A: 27(50) + 500 = $1850
Account B: 500(1.05^27) = $1866.73