Answer:
![area = 2.54 {ft}^{2}](https://tex.z-dn.net/?f=area%20%3D%202.54%20%7Bft%7D%5E%7B2%7D%20)
Step-by-step explanation:
The formula to find the area of a circle is
![area \: of \: circle \: = \pi {r}^{2}](https://tex.z-dn.net/?f=area%20%5C%3A%20of%20%5C%3A%20circle%20%5C%3A%20%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20)
Let pi be (3.14), the radios as given in the question is (0.9). Therefore;
![\pi {r}^{2} = \\ (3.14) \: {(0.9)}^{2} \\ 3.14 \times 0.81 = \\ 2.5434 \: or \: 2.54 {ft}^{2}](https://tex.z-dn.net/?f=%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%3D%20%20%5C%5C%20%283.14%29%20%5C%3A%20%7B%280.9%29%7D%5E%7B2%7D%20%20%5C%5C%203.14%20%5Ctimes%200.81%20%3D%20%20%5C%5C%202.5434%20%5C%3A%20or%20%5C%3A%202.54%20%7Bft%7D%5E%7B2%7D%20)
Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
![FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)](https://tex.z-dn.net/?f=FV%3DP%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%2A%281%2Br%29)
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually
percent per period(quarter)) - n is the number of periods (here the annuity is for
years, which is
periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
![FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23](https://tex.z-dn.net/?f=FV%3D400%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B18%7D-1%7D%7B0.0325%7D%5D%2A%281%2B0.0325%29%5C%5C%3D400%5B23.9497%5D%2A%281.0325%29%5C%5C%3D9891.23)
Hence, the future value of the annuity due is $9891.23
Answer:
40/s
Step-by-step explanation:
Number of granola boxes = 5
Number of granola per box = 8
Total granolas = 8 * 5 = 40 granola bars
Number of students = s
If each students takes equal share : Number if granola bars taken by each :
Total number of granola bars / number of students
= 40 ÷ s
40/s
Answer:
$54.40
Step-by-step explanation:
First, find the new price after the 20% markdown:
80(0.8)
= 64
Then, find the price with the 15% markdown:
64(0.85)
= 54.4
So, the new price of the coat is $54.40