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.
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.
To start with,
Let x signify the balance in the first savings account.
Let y signify the balance in the second savings account.
The combined total in the accounts is $9,000, leading to the equation:
x + y = 9000 (1)
Zack withdrew 10% from account x and 60% from account y, totaling $2,175.
Thus,
0.1x + 0.6y = 2175
or
x + 6y = 21750 (2)
To find y, subtract equation (1) from (2):
x + 6y - (x + y) = 21750 - 9000
5y = 12750
y = 2550
Next, from (1), compute:
x = 9000 - 2550 = 6450
Consequently, the balance in the first account is
0.9*x = 0.9*6450 = $5,805, while the balance remaining in the second account is
0.4*y = 0.4*2550 = $1,020.
Final answer:
The balance in the first account is $5,805 and the balance in the second account is $1,020.
