zack bought a coat for $ 69.78 he paid with a $100 bill and received $26.73 in change. how much was the sales tax ?
2 answers:
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Answer:
1. 10.7 years
2. 17.0 years
3. 2nd option
Step-by-step explanation:
Use formula for compounded interest
where
A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.
In your case,
1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then
2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then
3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then
<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then
The best will be 2nd option, because $8032.58>$7936.39
Answer:
We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs
Step-by-step explanation:
We have the following info given by the problem
Subject 1 2 3 4 5 6 7
Drug A 6 3 4 5 7 1 4
Drug B 5 1 5 5 5 2 2
x=value for drug A , y = value for drug B
x: 6 3 4 5 7 1 4
y: 5 1 5 5 5 2 2
We want to verify if the mean response differs between the two drugs then the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
We can begin calculating the difference and we obtain this:
d: -1, -2, 1, 0, -2, 1, -2
Now we can calculate the mean difference
Now we can find the the standard deviation for the differences, and we got:
And now we can calculate the statistic given by :
Now we can find the degrees of freedom given by:
We can calculate the p value, since we have a two tailed test the p value is given by:
We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs