how long will it take to earn $568.75 in interest if $2500 is invested at a 6.5% annual interest rate

.065 (2500) n = 568.75

n = 3.5 years

3.5 yers

To calculate the time it will take to earn a specific amount of interest, we need to use the formula:

Interest = Principal x Rate x Time

Let's calculate the time it will take to earn $568.75 in interest with an investment of $2500 at a 6.5% annual interest rate.

Rearranging the formula to solve for time:

Time = Interest / (Principal x Rate)

Substituting the given values:

Time = $568.75 / ($2500 x 0.065)

Time = $568.75 / $162.50

Time = 3.5 years

Therefore, it will take approximately 3.5 years to earn $568.75 in interest with an investment of $2500 at a 6.5% annual interest rate.