Answer:
The money in an account that earns 4.4% interest per year = 22500
The rest into an account that earns 6% interest per year = 13500
Step-by-step explanation:
Interest = Principal × Rate × Time
Let x = money saved in account A
Let y = money saved in account B
Brandon has 36000 to invest and wants to earn 5% interest per year
x + y = 36000..... Equation 1
x = 36000 - y
He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year.
Hence:
4.4% × x × 1 + 6% × y × 1 = 36000 × 5% × 1
0.044x + 0.06y= 1800....... Equation 2
Substitute 36000-y for x in Equation 2
0.044(36000 - y) + 0.06y = 1800
1584 -0.044y + 0.06y = 1800
-0.044y + 0.06y = 1800 - 1584
0.016y = 216
y = 216/0.016
y = 13500
Note that:
x = 36000 - y
x = 36000 - 13500
x = 2250
Therefore,
The money in an account that earns 4.4% interest per year = 22500
The rest into an account that earns 6% interest per year = 13500
