The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5% simple interest, how much would the sanctuary need to pa
1 answer:
Answer:
$18,750 is the amount sanctuary need to pay back in total after 10 years.
Step-by-step explanation:
Principal Amount = $12,500
Rate of Interest = 5%
Time Period = 10 years
SIMPLE INTEREST =
So, here the SI =
or the simple interest on P = $6,250
Now, Amount = Principal + Simple Interest
= $12,500 + $6,250 = $18,750
Hence, $18,750 is the amount sanctuary need to pay back in total after 10 years.
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Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of times Emma mows the lawn
y------> the number of hours Emma babysits
we know that
------> inequality that represent the situation
The solution is the shade area above the solid line between the values of x and y positive
The equation of the solid line is equal to
The slope of the line is negative
The y-intercept of the line is the point (value of y when the value of x is equal to zero)
The x-intercept of the line is the point (value of x when the value of y is equal to zero)
so
The graph in the attached figure
Answer:
Part1)
Readjustment is needed
Part 2)
No readjustment is needed
Step-by-step explanation:
Data given and notation
Part 1
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to apply a two tailed test.
What are H0 and Ha for this study?
Null hypothesis:
Alternative hypothesis :
Compute the test statistic
The statistic for this case is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Give the appropriate conclusion for the test
Since is a two tailed test the p value would be:
Using the value of we see that
and we have enough evidence to reject the null hypothesis.
Readjustment is needed
The rejection zone is given by:
Part 2
represent the sample mean
We can replace in formula (1) the info given like this:
Give the appropriate conclusion for the test
Since is a two tailed test the p value would be:
Using the value of we see that
and we have enough evidence to FAIL to reject the null hypothesis.
No readjustment is needed
The rejection zone is given by:
What action would you recommend ?
Review the procedure.
Do you reach the same conclusion ?
No we got different conclusions