Jill has always wanted to travel to China and plans to take a trip there in five years; she estimates that she will need $3,000 to pay for the trip and plans to make annual deposits to a savings account to reach her goal for pay for the trip. If her account earns 2% interest, how much should she deposit each year to reach her goal

Respuesta :

The amount she should deposit each year to reach her goal is $576.48.

Here, we are going to calculate the amount that Jili needs to deposit per year to reach her goal.

  • The formula to use to derive the amount to be deposited per year is [Future value / Future value Annuity}

Given Information

Future value = $3,000

N = 5 years

Interest = 2%

Future value annuity = [((1 + 0.02)^5 - 1 ) / 0.02}

Future value annuity = 0.1040808032 / 0.02

Future value annuity = 5.20404

Amount to be deposited per year = $3,000 / 5.20404

Amount to be deposited per year = $576.4752

Amount to be deposited per year = $576.48.

Therefore, the amount she should deposit each year to reach her goal is $576.48.

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