We are given

Since,
and
are multiplied
so, we will use product rule of derivative


we know that

and

so, we can plug these values
and we get
...............Answer
Answer:
The interest on the loan is $168
The principal plus interest is $868
Step-by-step explanation:
The interest on the amount is given by the formula below:
I=PRT
I is the interest on the loan,which is the unknown
P is the actual amount borrowed known as the principal which is $700
T is the duration of the loan in years which is years
R is the rate of interest on the loan which is 12% annually
I=$700*12%*2
I=700*0.12*2=$168
In other words,by borrowing $700 ,Susan would pay back the $700 plus $168 interest,which totals $868 in two years time
Our equation is 1.5 = 5x + 3x, x being the hours. We can combine 3x and 5x, getting 8x, then we can divide both sides by 8, getting x = .1865
Answer:
Top left
Step-by-step explanation:
We can plug in the y intercept to find which graph has the correct one.
x = 0 is y intercept
Thus

At this point we known the y intercept is -3 so both graph in the left is considerable.
Notice that the base is the negative, thus the graph would goes down. Therefore the top left would be correct.
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.