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sleet_krkn [62]
3 years ago
8

Justin loans his uncle 2,500. He changes 6.5% simple interest. His uncle pays him back in 2.5 years. How much interest does his

uncle pay?
Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

The simple interest accumulated  on a principal of $ 2,500 at a rate of 6.25% per year  for 2.5 years is $ 390.63.

Step-by-step explanation:

Given

  • Principle P = $2,500
  • Interest rate r = 6.5% = 0.065
  • Time period = t = 2.5 years

To determine

Interest I = ?

Using the simple interest formula

I = Prt

substituting P = 2,500, r = 0.065 and t = 2.5

I = 2500 × 0.0625 × 2.5

I = 390.63

Thus,

I = $390.63

Therefore, the simple interest accumulated  on a principal of $ 2,500 at a rate of 6.25% per year  for 2.5 years is $ 390.63.

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Step-by-step explanation:

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A 12 ounce soda costs $1.25 in the vending machine. At this rate, how much would a 32 ounce soda cost
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Read 2 more answers
A three-digit number has one more ten than it has hundreds, and it also has one more than twice as many units as tens. The sum o
Lilit [14]

The reverse number of the three-digit number is 732

<h3>How to determine the reverse of the number?</h3>

Let the three-digit number be xyz.

So, the reverse is zyx

This means that

Number = 100x + 10y + z

Reverse = 100z + 10y + x


From the question, we have the following parameters:

y = x + 1

z = 1 + 2y

The sum is represented as:

100x + 10y + z + 100z + 10y + x = 10^3 - 31

100x + 10y + z + 100z + 10y + x = 969

Evaluate the like terms

101x + 101z + 20y = 969

Substitute y = x + 1

101x + 101z + 20(x + 1) = 969

101x + 101z + 20x + 20 = 969

Evaluate the like terms

101x + 101z + 20x = 949

121x + 101z = 949

Substitute y = x + 1 in z = 1 + 2y

z = 1 + 2(x + 1)

This gives

z = 2x + 3

So, we have:

121x + 101z = 949

121x + 101* (2x + 3) = 949

This gives

121x + 202x + 303 = 949

Evaluate the sum

323x = 646

Divide by 323

x = 2

Substitute x = 2 in z = 2x + 3 and y = x + 1

z = 2*2 + 3 = 7

y = 2 + 1 = 3

So, we have

x = 2

y = 3

z = 7

Recall that

Reverse = 100z + 10y + x

This gives

Reverse = 100*7 + 10*3 + 2

Evaluate

Reverse = 732

Hence, the reverse number of the three-digit number is 732

Read more about digits at:

brainly.com/question/731916

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