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3 years ago

C. Assume someone has an average balance account with a bank that costs $35 a month but earns

Mathematics

1 answer:

Elodia [21]3 years ago

8 0

Answer:

The total interest earned after subtracting the monthly $35

service fee = $975 - $35 = $940

Step-by-step explanation:

Bank fee cost per month = $35

Interest rate per month = 1%

The total amount in the account until the 15th = $100,000

The total amount in the account from the 15th to the 30th = $95,000

Interest Earned?

Interest earned for first 15 days:

= $100,000 times 1%/2

= $100,000 times 0.001/2

= $500

Interest earned from 15th to the 30th:

= $95,000 times 1%/2

= $95,000 times 0.001/2

= $475

Interest earned for first 15 days + Interest earned from 15th

to the 30th = $500 + $475 = $975

So, the total interest earned after subtracting the monthly $35

service fee = $975 - $35 = $940

Keywords: interest, interest rate

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An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

Sedbober [7]

Testing the hypothesis, it is found that:

The null hypothesis is: $H_0: \mu \leq 10$

The alternative hypothesis is: $H_1: \mu > 10$

The critical value is: $t_c = 1.74$

The decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

Item a:

At the null hypothesis, it is tested if the mean loss is of at most 10 pounds, that is:

$H_0: \mu \leq 10$

At the alternative hypothesis, it is tested if the mean loss is of more than 10 pounds, that is:

$H_1: \mu > 10$

Item b:

We are having a right-tailed test, as we are testing if the mean is more than a value, with a significance level of 0.05 and 18 - 1 = 17 df.

Hence, using a calculator for the t-distribution, the critical value is: $t_c = 1.74$ .

Hence, the decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

Item c:

We have the standard deviation for the sample, hence the t-distribution is used. The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.

For this problem, we have that:

$\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18$

Thus, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}$

$t = 1.41$

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

A similar problem is given at brainly.com/question/25147864

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3 years ago

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS

lord [1]

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15
a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 15
3d = 1
d = 1/3

Then the first term is:

a + 5*1/3 = 15
a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 22
1/3n = 22 - 13
1/3n = 9
n = 9*3
n = 27

7 0

2 years ago

A 16 ounce box of cereal is priced at $3.68. Find the cost per ounce *

ZanzabumX [31]

Answer:

0.23$

Step-by-step explanation:

16 ounce box of cereal is priced at =3.68$

∴1 ounce box of cereal is priced at=(3.68/16)$

=0.23$

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3 years ago

7 students have 8 books each. Which helps you find the total number of books?

bija089 [108]

Answer:

7 × 8

Step-by-step explanation:

7 number of students × 8 books each student has 7 × 8 = 56

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2 years ago

PLEASE HELPPP ME ITS DUE TODAY

mel-nik [20]

Answer:

Randall: 44, Amy: 35

Step-by-step explanation:

Four years ago, their age added up to 71. Since four years have passed and they've each grown four years older since then, their ages added up together is 79. Here is the equation for Amy: x + (x + 9) = 79. We can simplify to get 35. Now we add 9 to 35 to get Randall's age. So, Amy's age is 35 and Randall's age is 44, and 35 + 44 = 79.

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3 years ago