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Arte-miy333
10 days ago
9

Earl Miller, owner of a Papa Gino's franchise, wants to buy a new delivery truck in 6 years. He estimates the truck will cost $3

0,000. If
Earl invests $20,000 now at 5% interest compounded semiannually, will Earl have enough money to buy his delivery truck at the end
of 6 years?
Business
1 answer:
Scilla [3.5K]10 days ago
3 0

Answer:

  • No, he will not accumulate sufficient funds to purchase his delivery truck after 6 years.

Explanation:

To determine how much money Earl Miller—the owner of the Papa Gino's franchise—will have available in 6 years, it's necessary to assess the worth of the $20,000 he plans to invest at a 5% interest rate compounded semiannually:

With semiannual interest: 5% / 2 = 0.05/2 = 0.025

Equation:

Here, r/n was calculated previously: r/n = 0.05/2 = 0.025; and t refers to the time in years: 6.
  • Value=Investment\times (1+r/n)^{(n\times t)}        

Thus, the future value of the investment would fall short of the truck's price, meaning

he will not be able to afford the delivery truck after 6 years.

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