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Sagot :
The amount invested in the account that earns 10% interest is $2000.
The amount invested in the account that earns 13% interest is $3000.
What are the linear equations that represent the question?
a + b = 5000 equation 1
0.1a + 0.13b = 590 equation 2
Where:
- a = amount invested in the account that earns 10% interest
- b = amount invested in the account that earns 13% interest
How much was invested in the account that earns 13% interest ?
Multiply equation 1 by 0.1
0.1a + 0.1b = 500 equation 3
Subtract equation 3 from equation 1
90 = 0.03b
Divide both sides by 0,03
b = $3000
How much was invested in the account that earns 10% interest ?
Subtract $3000 from $5000: 5000 - 3000 = $2000
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
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