Answer:
V = pi 36 units^3
V =113.04 units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 2) ^2 *9
V = pi 36
Letting pi = 3.14
V =113.04
Step-by-step explanation:
72/64=x/8
=> x = (72×8)/64
=> x = 9.
hope this helps you.
1 = 4
a2 = -2(a1) - 1
a2 = -2(4) - 1
a2 = -9
a3 = -2(a2) - 1
a3 = -2(9) - 1
a3 = -19
Can you do a4 and a5 and answer?
19 feet
convert 2
into an improper fraction
2
= ![\frac{19}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B8%7D)
hence the length of the wall is 19 feet
We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:
![PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})](https://tex.z-dn.net/?f=PV_%7Bord%7D%3DC%28%5Cfrac%7B1-%281%2Bi%29%5E%7B-kn%7D%7D%7B%5Cfrac%7Bi%7D%7Bk%7D%7D%29)
Where:
![\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20C%3D%5Ctext%7B%20payments%20each%20period%7D%20%5C%5C%20i%3D%5Ctext%7B%20interest%20rate%7D%20%5C%5C%20n%3D%5Ctext%7B%20number%20of%20periods%7D%20%5C%5C%20k%3D%5Ctext%7B%20number%20of%20times%20the%20interest%20is%20compounded%7D%20%5Cend%7Bgathered%7D)
Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:
![\frac{5.9}{100}=0.059](https://tex.z-dn.net/?f=%5Cfrac%7B5.9%7D%7B100%7D%3D0.059)
Now we substitute the values:
![PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})](https://tex.z-dn.net/?f=PV_%7Bord%7D%3D4000%28%5Cfrac%7B1-%281%2B0.059%29%5E%7B-2%283%29%7D%7D%7B%5Cfrac%7B0.059%7D%7B2%7D%7D%29)
Now we solve the operations, we get:
![PV_{\text{ord}}=39462.50](https://tex.z-dn.net/?f=PV_%7B%5Ctext%7Bord%7D%7D%3D39462.50)
Therefore, the present value must be $39462.50