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4 years ago

5

What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce

nt, compounded annually?

1 answer:

xxMikexx [17]4 years ago

5 0

480/year. That's the correct math

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Rounding 255 to the nearest 5percent

Flauer [41]

Answer:

It would be 260

Step-by-step explanation:

Hope this helps :))

5 0

3 years ago

A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud

8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(c) Margin of error = 0.800

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

$\alpha = 1 - 0.90$

$\alpha = 0.10$

Divide by 2

$\frac{\alpha}{2} = 0.10/2$

$\frac{\alpha}{2} = 0.05$

Subtract from 1

$1 - \frac{\alpha}{2} = 1 - 0.05$

$1 - \frac{\alpha}{2} = 0.95$

From the z table. the critical value for $1 - \frac{\alpha}{2} = 0.95$ is:

$z = 1.960$

Solving (c): Margin of error

This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.960 * \frac{5}{\sqrt {150}}$

$E = 1.960 * \frac{5}{12.25}$

$E = \frac{1.960 *5}{12.25}$

$E = \frac{9.80}{12.25}$

$E = 0.800$

Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

$CI = (7.10 - 0.800, 7.10 + 0.800)$

$CI = (6.3, 7.9)$

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0

3 years ago

3. ms. Johnson placed two different orders with TR's special item store. each order was for 40 jars with the circus logo imprint

rodikova [14]

1.The height is 6 inches ad the width (diameter) is 3 inches!
2. So the jars are Volume ≈ 42.41 inches so each boy needs 200 / 42.41 which equals approximately 4.72 inches per jar. So if wach boys have half the amount of jars which is 20 you multiply 20 by 4.72 which is 94.4 inches for each boy!

8 0

3 years ago

Which ordered pair is a solution of the equation -x-4y=-10

Ilia_Sergeevich [38]

Answer:

There are many possible solutions. Here are some:

(-2,12) (2,2) (6,1) (10,0) (-6,4)

Step-by-step explanation:

hope it helps

3 0

3 years ago

Read 2 more answers

When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence

Bezzdna [24]

Answer:

velocity

Step-by-step explanation:

The velocity of the object is continually changing. This velocity is the slope of the tangent line to the curve at a given point on the curve.

3 0

3 years ago