John has $30. He spends $20 on a pants, and $25 on a shirt. How much money does he have now?
2 answers:
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Answer:
d. H0: vs.
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Null hypothesis :
Alternative hypothesis:
Or equivalently:
Null hypothesis :
Alternative hypothesis:
Other important thing is that on the alternative hypothesis we never can have the symbol equal.
So on this case the best options is:
d. H0: vs.
Answer:
<u>Equation</u>:
<u>The balance after 5 years is: $1742.43</u>
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Step-by-step explanation:
This is a compound growth problem . THe formula is:
Where
F is future amount
P is present amount
r is rate of interest, annually
n is the number of compounding per year
t is the time in years
Given:
P = 1500
r = 0.03
n = 12 (compounded monthly means 12 times a year)
The compound interest formula modelled by the variables is:
Now, we want balance after 5 years, so t = 5, substituting, we get:
<u>The balance after 5 years is: $1742.43</u>