Solution:
Principal =P= $ 7,500
Option A→(Simple interest)
Rate of interest= R=4%
Time(
)=4 years
Time(
)=6 years
Amount= Principal + Interest(Simple or compound interest)
Formula for Simple interest


Total amount after 4 years when interest is simple= 7500 +1200= $ 8700
Total amount after 6 years when interest is simple= 7500 +1800= $ 9300
Option B
Formula for amount(A) when interest is 3.15% compounded annually.



Total amount after 4 years when interest is compounded annually=$ 8491 (approx)
Total amount after 6 years when interest is compounded annually=$ 9034(approx)
We know that all black beards cost the same money
And all red beards cost $25
And B represents number of black beards
And R represents number of red beards
We have been given the inequality 20B+25R > 350 to show the target for this month.
The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month
Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20
<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>
Using the quotient rule, the blank is 11/5.
<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>
Using the product rule, the blank is 9.
<u>Part</u><u> </u><u>(</u><u>c</u><u>)</u>
Using the power rule, the blank is 5.
If you notice, the container is really just two circles, with a diameter of 4 each, and a square with sides of 10.5.
now, if we just get the area of each circle, keeping in mind their radius is half of the diameter, namely r = 2, and get the area of the 10.5x10.5 square, sum them up, that'd be the surface area of the container.
Answer : D
From the given graph , we can see that
The graph crosses the y axis at 7
So y axis is (0,7)
The graph is increasing at first and reaches (-2,8) and then start decreasing
The graph start increasing at x=-10 and goes on increasing till x= -2
then the graph start decreasing at x=-2 and goes in decreasing till x= 10
The graph crosses the y axis at (0,7), increasing from x=-10 to x=-2 and decreasing from x=-2 to x=10
Answer D is correct