Question

I need help with this someone very smart in math this is algebra 2

Answer 1

D

Explanation:

The interest is compounded annually, which means that interest from the previous year earns you even more money next year.

It should be obvious that after one year Alexis will have

$475 + $475 * 1.25% = $475 * 100% + $475 * 1.25% =

= 101.25% * $475 = 1.0125 * $475

Then, next year she would have

1.0125 * $475 + (1.0125 * $475) * 1.25% =

= (1.0125 * $475) * 1.0125 = 1.0125^2 * $475

See the pattern?

Alexis will have $475 * 1.0125^x after x years.