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Goryan [66]
3 years ago
8

A $6,300.00 principle earns 6% interest, compounded annually. After 3 years, what is the balance in the amount?

Mathematics
2 answers:
MrRissso [65]3 years ago
3 0
 heres your answer amount = 6300(1.06)^3 
<span>= 7503.40 </span>
sergejj [24]3 years ago
3 0

I believe that the answer would be option B- $7,503.40

I hope this helps! 

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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

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 and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

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

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
Select all expressions that are equivalent to -4(x + 2) – 2x + 4.
Nookie1986 [14]

Answer:

A,D,E

Step-by-step explanation:

-4(x + 2) – 2x + 4

=-4x-8-2x+4    D

=4x-2x-8+4     E

=-6x-4             A

Hope it helps!

3 0
3 years ago
The equation of the line in the graph is y= (blank) x+ (blank)
VashaNatasha [74]
Y= -1x + -1 is the answer
7 0
3 years ago
Shaikha sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Khalid sold 9 packages of sugar cookies and
ale4655 [162]

Answer:

The system that can be used is:

10x + 2y = 56

9x + 3y = 60

Step-by-step explanation:

We have that:

x is the price of a package of sugar cookies, y is the price of a package of oatmeal cookies.

Shaikha sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56.

This means that:

10x + 2y = 56

Khalid sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60.

This means that 9x + 3y = 60

System that can be used:

The system that can be used is:

10x + 2y = 56

9x + 3y = 60

4 0
3 years ago
Hello everyone I need help with this worksheet it's ten problems answer the ones you know for me please it's homework.
Fed [463]

Answer:

1. Slope = -4/5

2. Slope = 2/3

3. Slope = 0

4. Slope = 3/-4

5. Slope = 7/-12

6. Slope = 1/2

7. Slope = -2/0 --> Undefined

8. Slope = 3/-2

9. Slope = 5/-4

10. Slope = 4/3

Step-by-step explanation:

Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:

10-2/1-11 = 8/-10 = -4/5

5 0
2 years ago
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