Respuesta :
Answer: she invested $3200 at 3% and $4800 at 2%
Step-by-step explanation:
Let x represent the amount that she invested in the account earning 3% interest.
Let y represent the amount that she invested in the account earning 2% interest.
Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and
the second account has a simple interest rate of 2%. This means that
x + y = 8000
y = 8000 - x
The formula for determining simple interest is expressed as
I = PRT/100
Considering the account paying 3% interest,
P = $x
T = 1 year
R = 3℅
I = (x × 3 × 1)/100 = 0.03x
Considering the account paying 2% interest,
P = $y
T = 1 year
R = 2℅
I = (y × 2 × 1)/100 = 0.02y
If she earns the same interest from both accounts, it means that
0.03x = 0.02y
x = 0.02y /0.03 - - - - - - - - - - - - -1
Substituting y = 8000 - x into equation 1, it becomes
x = 0.02(8000 - x)/0.03
0.03x = 0.02(8000 - x)
0.03x = 160 - 0.02x
0.03x + 0.02x = 160
0.05x = 160
x = 160/0.05
x = 3200
y = 8000 - x = 8000 - 3200
y = 4800
