Question 1146618
<br>
The principal gets multiplied by 1 plus the interest rate each year.  You need to determine the number of years it will take $3500 to grow to $5000:<br>
{{{3500(1+.0575)^x = 5000}}}<br>
The variable is in an exponent, so solve using logarithms.<br>
Or on a graphing calculator graph {{{3500(1.0575^x)}}} and {{{5000}}} and find where the graphs intersect.