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Vitek1552 [10]
3 years ago
15

Edgar borrowed a total of $10,000 from three sources: the bank, his mom, and a close friend. After one year, he paid a total of

$624 in simple interest toward the three loans. The bank charged an interest rate of 7% per year, his mom charged 5%, and the friend charged 6%. The amount he borrowed from his mom exceeded the amount he borrowed from his friend by $200. What amount did Edgar borrow from the bank?
Mathematics
1 answer:
Vilka [71]3 years ago
3 0
The amount that Edgar borrowed from the bank is $5,000. From his mom is $2,600 while from his friend is $2,400. This can be checked using the total interest of $624.

Bank: $5,000 x 0.07 = $350
Mom: $2,600 x 0.05 = $130
Friend: $2,400 x 0.06 = $144

Adding all three results to $624. 
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solniwko [45]

Answer:

z_{stat} = -1.50            

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 108

Sample mean, \bar{x} = 107

Sample size, n = 110

Alpha, α = 0.02

Population standard deviation, σ = 7

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{107 - 108}{\frac{7}{\sqrt{110}} } = -1.50

The test statistic is -1.50

8 0
3 years ago
1. The midpoint of GH is (-2,3), and its endpoints are G (g,4) and H (-2,h). What are the values of g and h
alina1380 [7]

Answer:(g,h)=(-2,2)

Step-by-step explanation:

Given

Midpoint is (-2,3)

Endpoints are G(g,4) and H(-2,h)

Mid point of any two point is given by

x=\frac{x_1+x_2}{2}

and y=\frac{y_1+y_2}{2}

So,-2=\frac{g+(-2)}{2}

-4=g-2

g=-2

Also

3=\frac{4+h}{2}

6=4+h

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4 0
3 years ago
6. Describe, step-by-step how to find the slope of a line through two points.
Margarita [4]

Answer:

Step-by-step explanation:

The slope is the difference in y-coordinates of the 2 points divided by the corresponding difference in x-coordinates.

For example:

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The slope = (5 - 1) / (3 - (-2))

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= 4/5.

NOTE:

You would get the same result if you reversed the values

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= -4/-5

= 4/5.

The important thing to remember is to use <em>corresponding </em>values in the calculation.

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dalvyx [7]

I believe it's the last one

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iVinArrow [24]

Answer:

A

Step-by-step explanation:

Slope intercept form is

y=mx+b

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and

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3 0
3 years ago
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