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2 years ago

Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5

Mathematics

1 answer:

ale4655 [162]2 years ago

3 0

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

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Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

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

For this problem, the values of the parameters are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0

2 years ago

Need help with 4-10 pleaseeee

emmainna [20.7K]

Answer:

-6

Step-by-step explanation:

10 - 4 = 6

Turn it to negative.

-6

5 0

3 years ago

which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18

Vinvika [58]

Answer:

(6, 12)

Step-by-step explanation:

{ 3x - y = 6

{ x - 2y = -18

by using elimination:

6x -2y=12

x - 2y= -18

________-

5x = 30

x = 6

y = 18-6 = 12

the solutions = {(6, 12)}

3 0

2 years ago

In which type of statistical study is the population influenced by researchers?

Tema [17]

Answer:

literacy rate

Step-by-step explanation:

reasearchers know hot to read and write

5 0

2 years ago

Read 2 more answers

How do I solve this 9x-(x-24)=2x-(-5+x)

Viefleur [7K]

Combine like terms
8x+24=x+5
subtract x from both sides

8x+24=x+5
-x -x
7x+24=5
subtract 24 from both sides
7x+24=5
-24 -24
7x = -19
divide 7 from both sides
7x = -19
7x/7 = -19/7

x= -19/7

7 0

3 years ago