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NARA [144]
2 years ago
14

Michelle borrows a total of $2500 in student loans from two lenders. One charges 4.4% simple interest and the other charges

Mathematics
1 answer:
Inessa [10]2 years ago
5 0

The amount borrowed from the  the lender that charges 4.4% interest is $1000.

The amount borrowed from the  the lender that charges 5.7% interest is $1500.

<h3>What are the linear equations that can be derived from the question?</h3>

a + b = $2500 equation 1

0.088a + 0.114b = $246 equation 2

Where:

a = amount borrowed from the lender that charges 4.4% interest

b =  amount borrowed from the lender that charges 5.7% interest

<h3>How much was borrowed from the lender that charges 5.7% interest?</h3>

Multiply equation 1 by 0.114

0.114a + 0.114b = 285 equation 3

Subtract equation 2 from equation 3

39 = 0.026b

b = $1500

<h3>How much was borrowed from the lender that charges 4.4% interest?</h3>

Substitute for b in equation 1

a + $1500 = $2500

a = $2500 - $1500

a = $1000

To learn more about simultaneous equations, please check: brainly.com/question/25875552

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Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5
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The present age of mother and her daughter respectively are; 40 and 10 years respectively.

<h3>How to Solve Algebra Word Problems?</h3>

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

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Plugging eq 1 into eq 2 gives us;

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Thus;

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Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

Read more about Algebra Word Problems at; brainly.com/question/21405634

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