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Vanyuwa [196]
2 years ago
14

mark borrows $2,100 at an 8% simple intrest rate for 9 months. What is the amount he is being charged for borrowing the money

Mathematics
1 answer:
Taya2010 [7]2 years ago
6 0

Answer:

$ 126

Step-by-step explanation:

9 months is  3/4  of one year

2100 * 3/4 * .08 = 126 dollars interest

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Step by step how to solve 4x+2=5(x+10)​
Shalnov [3]

Answer:

x = -48

Step-by-step explanation:

4x + 2 = 5(x + 10)

expand the 5(x+10)

4x + 2 = 5x + 50

-2 both sides

4x + 2 - 2 = 5x + 50 - 2

simplify

4x = 5x + 48

-5x both sides

4x - 5x = 5x + 48 - 5x

simplify

-x = 48

÷ (-1) both sides

-x ÷ (-1) = 48 ÷ (-1)

simplify

x = -48

The answer is x = -48.

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A random sample is selected from a normally distributed population. The following sample statistics are obtained: n = 20, = 30,
Flura [38]

Answer:

b) The margin of error is approximately 3.24

e) The critical value is 1.7921.

Step-by-step explanation:

<u>Step(i</u>):-

Given sample size 'n' =20

Given sample standard deviation 's' = 10

<u><em> Margin of error </em></u>

<u><em>The margin of error is determined by</em></u>

<u><em /></u>M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }<u><em /></u>

<em>The level of significance ∝ =0.95</em>

<em>The degrees of freedom = n-1 = 20-1=19</em>

t₀.₉₅ = 1.729

M.E = \frac{1.729 X10 }{\sqrt{20} }

Margin of error = 3.866

Step(ii):-

<u><em> Margin of error </em></u>

<u><em>The margin of error is determined by</em></u>

<u><em /></u>M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }<u><em /></u>

<u><em>Given another sample size n =30</em></u>

<em>The level of significance ∝ =0.95</em>

<em>The degrees of freedom = n-1 = 30-1=29</em>

t₀.₉₅ = 1.70

M.E = \frac{1.7021 X10 }{\sqrt{30} } =3.24

<u><em>Margin of error = 3.24</em></u>

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3 years ago
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