Answer:
2 years and 6 months
Step-by-step explanation:
after 6months
$1,000 x 10% = $100
$1,000 + $100 = $1,100
after 1 year
$1,100 x 10% = $110
$1,100 + $110 = $1,210
after 1 year and 6 months
$1,210 x 10% = $121
$1,210 + $121 = $1,331
after 2 years
$1,331 x 10% = $133.10
$1,331 + $133.10 = $1,464.10
after 2 years and 6 months
$1,464.10 x 10% = $146.41
$1,464.10 + $146.41 = $1,610.51