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Lady_Fox [76]
3 years ago
10

The hemmings borrowed $3 000 for home improvements. They repaid the loan and $600 in simple interest four years later. What simp

le annual interest rate did they pay
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

5%

Step-by-step explanation:

Given that:

Principal = $3000

Simple Interest paid = $600

Period = 4 years

Simple interest = principal * rate * time

$600 = $3000 * rate * 4

$600 = $12000 * rate

Rate = $600 /$12000

Rate = 0.05

Hence, simple interest rate paid = (0.05 * 100%) = 5%

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BC=CD what is the property
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5 0
2 years ago
NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400
Ne4ueva [31]

Answer:

The test statistics is  t  =  -1.727

Step-by-step explanation:

From the question we are told that

The data given is  

   330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

 The population mean is  \mu  =  14400

    The  sample  size is  n =  16

  The  null hypothesis is  \mu \le  14400

    The  alternative hypothesis is  H_a  :  \mu > 14400

The sample mean is mathematically evaluated as

  \= x  =  \frac{\sum x_i}{n}

So

   \= x  =  \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}

=>  \= x = 10799.9

The  standard deviation is mathematically represented as

      \sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}

So

\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}}  \ ..

   ..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2  }{16}} \ ...

  \ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}

=>  \sigma  =  8340

  Generally the test statistic is mathematically represented as

  t =  \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }

t  =  -1.727

From the z-table  the p-value is  

     p-value  = P(Z > t) =  P(Z >  -1.727) =  0.95792

 From the values obtained we see that

        p-value  >  \alpha  so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0
3 years ago
Please can someone help me with these questions photo math won’t work
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Answer:

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Step-by-step explanation:

3 0
2 years ago
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Answer:

y = 2x - 3

Step-by-step explanation:

y = mx + b

m = (y2-y1)/(x2-x1)

m = (3-(-3))/(3-0)

m = 6/3

m = 2

y = mx + b

y = 2x + b

3 = 2(3) + b

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y = 2x - 3

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Answer:

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Step-by-step explanation:

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