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serious [3.7K]
3 years ago
12

How much interest is earned on a principle of $1,500 at 6.3% for 5 years?

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

472.5$

Step-by-step explanation:

1500$*.063=94.5$

94.5#*5years=472.5$

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Please help.... A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimete
BigorU [14]

Answer:

The width of rectangle is W=\frac{108}{13}\ cm  or  8\frac{4}{13}\ cm

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

P=26/ cm\\L=(x+4)/ cm\\W=12x\ cm

substitute

26=2(x+4+12x)

solve for x

26=2(13x+4)

26=26x+8

26x=26-8

26x=18

x=\frac{18}{26}

simplify

x=\frac{9}{13}

Find the width of rectangle

W=12x\ cm

substitute the value of x

W=12(\frac{9}{13})=\frac{108}{13}\ cm

Convert to mixed number

\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm

8 0
3 years ago
An educational psychologist wants to test whether a new teaching method negatively affects reading comprehension scores. She ran
yarga [219]

Answer:

z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820  

The p value for this case would be given by:

p_v =2*P(z  

Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.

Step-by-step explanation:

Information provided

\bar X=87.8 represent the sample mean for the scores on the standardized test in the general population of 6th graders    

\sigma=17.3 represent the population standard deviation

n=38 sample size  

\mu_o =90.1 represent the value that we want to verify

z would represent the statistic

p_v represent the p value for the test

System of hypothesis

We want to verify if the new teaching method negatively affects reading comprehension scores, so then the system of hypothesis for this case are:

Null hypothesis:\mu =90.1  

Alternative hypothesis:\mu \neq 90.1  

Since we know the population deviation the statistic would be:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing the info given we got:

z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820  

The p value for this case would be given by:

p_v =2*P(z  

Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.

3 0
3 years ago
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Which of the following is NOT true about similar figures?
Lesechka [4]

Answer:

b. Similar figures have always the same size. is a false statement.

since size differs.

4 0
3 years ago
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$0.90 for 3/4 pound of bananas
podryga [215]
If 3/4 lb of bananas cost $0.90, then 1 lb of bananas cost $1.20.
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3 years ago
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PLZ NEED HELP ASAP!!! One of the solutions to the equation 5x^2+bx+12=0 is − 4/5. Find the other solution.
bonufazy [111]

Answer:

b=-19

Step-by-step explanation:

We know that one of the solutions is x=-4/5

That is a solution to x. So if we plug in (-4/5) into the x in the equation, then it should equal 0.

5(-4/5)^2+b(4/5)+12=0

Now, just solve for b.

5(16/25)+b(4/5)+12=0

(16/5)+(4/5)b+12=0

(76/5)+(4/5)b=0

(4/5)b=-(76/5)

b=-19


4 0
4 years ago
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