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Minchanka [31]
2 years ago
10

Trevor is saving for a down payment to buy a house. The account earns 11.2% interest compounded monthly, and he wants to have $1

4,000 in 7 years.
What must his principal be? Round your answer to the nearest cent and do not include the dollar sign. Do not round at any other point in the solving process; only round your answer.
Mathematics
1 answer:
Anna71 [15]2 years ago
7 0

$1271.22

Step-by-step explanation:

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Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that th
11111nata11111 [884]

Answer:

The null hypothesis is H_0: \mu = 14

The alternate hypothesis is H_a: \mu < 14

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

H_0: \mu = 14

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

H_a: \mu < 14

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that \mu = 14

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that n = 40

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}

t = -1.95

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

5 0
2 years ago
Whats the area of the house and the porch?
My name is Ann [436]

Answer:

The answer is c. 875 square feet

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The ratio of the number of cookies to the number of candies in different gift boxes is 5:7. Which table best shows the number of
V125BC [204]

Answer:

-------------------------------------------------------------------

Ratio

--------------------------------------------------------------------

cookies : candies

     5     :     7

--------------------------------------------------------------------

Multiply Ratio by 2

--------------------------------------------------------------------

cookies : candies

  5 x 2   :     7 x 2

     10    :      14

--------------------------------------------------------------------

Multiply Ratio by 3

--------------------------------------------------------------------

cookies : candies

  5 x 3   :     7 x 3

    15     :      21

--------------------------------------------------------------------

Multiply Ratio by 4

--------------------------------------------------------------------

cookies : candies

  5 x 4   :     7 x 4

    20     :     28

--------------------------------------------------------------------

Answer: C

--------------------------------------------------------------------

Step-by-step explanation:

please mark brainliest

5 0
3 years ago
Read 2 more answers
Use the diagram to help you solve the problem. Mark is a receptionist for Exclusive Auto Sales. His base salary is $21,000. He h
olga55 [171]
The answer is 22,260

6 0
3 years ago
Read 2 more answers
Please help!!!
viktelen [127]

Answer:

eight and a half a night for 6th graders and they are 23 countries in North America

Step-by-step explanation:

idk what statistical means sorry

7 0
3 years ago
Read 2 more answers
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