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ohaa [14]
3 years ago
7

You deposit $365

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0
$365 increased to $428
365/428=1.17
which translates to an 117% increase

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The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false?
vovangra [49]

Answer:

it is true

Step-by-step explanation:

5 0
3 years ago
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Mr. Gardner is purchased 13 pallets of bricks for a house.
brilliants [131]
A. $3,291.15

You have the total for one pallet, multiply by how many he bought (13), then add the delivery fee. ($125) to get your answer of $3,291.15
8 0
3 years ago
What is the slope of the line in the graph?<br> Pls helppp
gogolik [260]

Answer:

y = 1x +1

Step-by-step explanation:

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6 0
3 years ago
Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two
sveta [45]

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

                                            Alloy A        Alloy B

Sample mean                    \bar {x} _A = 49.5      \bar {x} _B = 45.5

Equal standard deviation    \sigma_A = 5         \sigma_B= 5

Sample size                          n_A = 30        n_{B}= 30

Mean of the sampling distribution is :

\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5  \\ \\ = 4.0

Standard deviation of sampling distribution:

\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667}  \\ \\ =1.2909

Hypothesis testing.

Null hypothesis:  H_o: \mu_A -\mu_B = 0

Alternative hypothesis:  H_A:\mu_A -\mu_B > 4

The required probability is:

P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}}   \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\  = 1 - [NORMDIST(3.10)]  \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq  0.0010

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject H_o and conclude that there is enough evidence to fully support alloy A.

3 0
3 years ago
An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0
nikitadnepr [17]

Answer:

8\ years  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\ P=\$100\\A=\$150\\ r=0.05  

substitute in the formula above  

150=100(e)^{0.05*t}  

1.5=(e)^{0.05*t}  

Applying ln both sides

ln(1.5)=(0.05t)ln(e)  

ln(1.5)=(0.05t)  

t=ln(1.5)/(0.05)  

t=8\ years  

8 0
3 years ago
Read 2 more answers
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