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Sagot :
The amount invested at 3.5% interest rate is $5,000.
The amount invested at 5.75% interest rate is $775,000.
What are the linear equations that represent the question?
Total amount invested = ( 1 -tax rate) x amount won
0.65 x 1,200,000 = $780,000
a + b = $780,000 equation 1
0.035a + 0.0575b = $33,600 equation 2
Where:
- a = amount invested at 3.5% interest rate
- b = amount invested at 5.75% interest rate
What are the amounts invested at 3.5% and 5.57% interest rate ?
Multiply equation 1 by 0.0575
0.0575a + 0.0575b = 44,850 equation 3
Subtract equation 2 from equation 3
11,250 = 2.25a
a = 11,250 / 2.25
a = $5000
In order to determine the value of b , subtract $5000 from 780,000.
780,000 - 5000 = $775,000
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
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