Answer:
The formula for the volume of a cylinder is:
V= pi * radius^2 * height
When the values are plugged in, you would have:
V= pi * 7^2 * 14
Then simplified....
V= pi * 49 * 14
V= pi * 686
V= 2155.13256036
and when rounded to the nearest inch...
the volume would be approximately 2155 inches.
Answer:
Jeff will have 48 rabbits by May
Answer:
$46,141.71
Step-by-step explanation:
This looks about right, based on weekly deposits for the duration. However, I cannot vouch for it entirely, as the number of weekly deposits in 15 years will actually be 782.
_____
Computing this by hand doing the initial balance separately from the weekly deposits, I get a total of $46,252.10 using 782 weekly deposits. For that purpose, I tried to figure an equivalent weekly interest rate given monthly compounding and the fact there are 52 5/28 weeks in a year on average.
I suspect the only way to get this to the cent would be to build a spreadsheet with payment dates and interest computation/payment dates. Some months, there would be 5 deposits between interest computations; some years there would be 53 deposits.
Answer:
32760
Step-by-step explanation:
This is a permutation of 15 objects taken 4 at a time. To calculate this, we use the formula:

In our case, n is 15 and r is 4:

Answer:
278.63 square inches
Step-by-step explanation:
Gina needs to cut two types of rectangles.
Dimensions of one rectangle is given as,
Width = 12 inches
Length =
=
inches
So, the area of this rectangular paper will be
Area = width × length =
= 171 inches²
Dimensions of the other rectangular paper has been given as
Width =
=
inches
Length =
=
inches
So, the area of this rectangle will be
Area = width × length =
= 107.63 inches²
Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.