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mel-nik [20]
2 years ago
6

2500 dollars is placed in an account with an annual interest rate of 7.25%. To the nearest year, how long will it take for the a

ccount to reach the value 13100 dollars
Mathematics
1 answer:
Bumek [7]2 years ago
7 0

The amount would take 24 years (to the nearest years).

Step-by-step explanation:

Given details=

Principal (initial amount)= $ 2500

Amount= $ 13,100

Rate of interest (compounded annually)= 7.25%

Time required

We know that for compound interest A= P(1+R/100)ⁿ

Where A= amount

P= principal

R=rate

n= time period

Substituting the value of A, P, R in the equation above, we get

13,100= 2500(1+7.25/100)ⁿ

13,100/2500= (1+7.25/100)ⁿ

Solving the equation would give us the value of "n" as 23.66 years

Since the answer is required in the nearest year, the answer is rounded off to 24 years.

The amount would take 24 years to reach the amount of $ 13,100

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18 million kilometers in one min. and 0.3 million kilometers in one second

Step-by-step explanation:

so the one min. is easy because all you have to do is take 180 and divide it by 10 and you get 18 million kilometers in one min. and then you would take 18 and divide it by 60 and you would get 0.3 million kilometers in one second

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About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum
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Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point
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Answer:

Option 3 is correct.

The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.

Step-by-step explanation:

Before anything else, we first give the null and alternative hypothesis for this question.

Null hypothesis would be that there isn't significant evidence to conclude that the mean point spread of home games is higher than that of away games.

H0: µ1 = µ2

And the alternative hypothesis would be that there is significant evidence to conclude that the mean point spread of home games is higher than that of away games.

Ha: μ1 > μ2

The data from the output of the analysis of the hypothesis test is missing from the question. It was obtained online and is attached to this solution of the question.

The table consists of the difference, the sample mean, the standard error of the mean, degree of freedom, the test statistic and most importantly, the p-value. It is the p-value that absolutely gives us the concluding statement of the hypothesis testing.

When the significance level for a test isn't provided, the convention is usually to use 5% significance.

Interpretation of p-value

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.4351

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This means that we fail to reject the null hypothesis & say that 'The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games'.

Hope this Helps!!!

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Mike earns $6.50 per hour plus 4% of his sales enter an equation for mikes total earnings, e, when he works x hours and has a to
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First identify what each variable means. since X is the amount of hours he works, and he makes $6.50 an hour, you know you need to multiply those two numbers together creating the 6.50x. You also know Y is his total sales, and he earns 4% of Y. To find 4% of Y you need to turn the percent into a decimal, and to do this you move the decimal two spaces to the left. Since 4 is a whole number, the decimal is after the 4 so you get .04 as your decimal. Then youd multiply .04 by Y getting .04y. Lastly you add 6.50x + .04y to get E, mikes total earnings. So your final equation is

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