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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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Calculate the pay for the following day of a<br> weekly time card given a wage of $12.50/hr.
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The one day pay is $106.25 rounded to the nearest hundredth.

<u>Step-by-step explanation:</u>

<u>From the table shown :</u>

  • The timing shown in the morning is from 8:00 to 12:15
  • The number of hours worked in the morning = 4 hours 15 minutes.

It is given that, the pay is $12.5 per hour.

Therefore, the pay earned in the morning = No.of hours × pay per hour.

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⇒ (15 mins / 60 mins) × 12.5 = $3.125

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Therefore, the pay earned in the afternoon = No.of hours × pay per hour.

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⇒ 106.25

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