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KatRina [158]
4 years ago
5

Mr. Peterson paid $1,020 in interest for a loan, which was given to him at a rate of 5% for 3 years. How much money did he borro

w originally?
Mathematics
1 answer:
Nataly_w [17]4 years ago
6 0

Answer:

The amount of money originally borrowed by Mr. Peterson  is $6,800.

Step-by-step explanation:

Let us assume the money borrowed originally = P

Rate of interest  = 5%

Time = 3 years

S interest = $1020

Simple Interest  = \frac{P \times R \times T }{100}

Substituting the all values, we get:

1020 = \frac{P \times 5 \times 3 }{100}\\\implies P = \frac{102000}{15}  = 6,800

⇒  P = $6,800

Hence, the amount of money originally borrowed by Mr. Peterson  is $6,800.

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4 years ago
__ years will be spent on sleeping and __ years will be spent on watching tv.
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Sleeping looks to be at least 26 years and TV would be 9 years

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3 years ago
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4. Compare the processes of graphing linear equations and inequalities with examples of your own.
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4 years ago
the lablel on a 1/2- pound bag of wildflower seeds states that it will cover an area of 375 square feet . based on this informat
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7 0
3 years ago
Which system has no solution?
Sidana [21]

we have that


case a)

y=-3x+8 -------> equation 1

6x+2y=4.5--> 2y=-6x+4.5--> divide by 2 both sides--> y=-3x+2.25--> equation 2

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because the slopes are the same

m=-3

so

the system has no solution


case b)

y=9x+6.25 -----> equation 1

-18x+2y=12.5----> 2y=18x+12.5-----> divide by 2 both sides-----> y=9x+6.25--> equation 2

equation 1 and equation 2 are the same

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the system has infinite solutions


case c)

y=4.5x-5 -----> equation 1

-3x+2y=6----> equation 2

substitute equation 1 in equation 2

-3x+2*[4.5x-5]=6----> -3x+9x-10=6----> 6x=16----> x=2.67

y=4.5*(2.67)-5-----> y=7


the system has the solution (2.67,7)


case d)

y=3x+9 -----> equation 1

x+8y=12.3-----> equation 2

substitute equation 1 in equation 2

x+8*[3x+9]=12.3----> x+24x+72=12.3----> 25x=12.3-72----> x=-2.39

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the system has the solution (-2.39,1.84)


therefore


the answer is

the system A has no solution

6 0
4 years ago
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