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forsale [732]
2 years ago
9

A student borrows a total of $5400 in student loan from two lenders. Bank One charges 4.3% simple

Mathematics
1 answer:
g100num [7]2 years ago
8 0

9514 1404 393

Answer:

  $1400

Step-by-step explanation:

Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.

Then the total interest over 3 years is ...

  3(4.3%·x +5.9%(5400 -x)) = 888.60

  -1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify

  -1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60

  x = 22.40/0.016 = 1400

The student borrowed $1400 from Bank 1.

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A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band m
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Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

<u>First, we determine the systems of equations:</u>

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

<u>Now, we isolate x in one equation, and substitute it in the other one:</u>

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

<u>Prove: </u>

15*100 + 10*50= 2,000

100 + 50 = 150

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