Answer:
Future value of annuity (FV) = $13,782.12 (Approx)
Step-by-step explanation:
Given:
Periodic payment p = $500
Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)
Number of period n = 5 x 4 = 20 quarter
Find:
Future value of annuity (FV)
Computation:
![Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\](https://tex.z-dn.net/?f=Future%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3Dp%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%20%5D%20%5C%5C%5C%5CFuture%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3D500%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B20%7D-1%7D%7B0.0325%7D%20%5D%20%5C%5C%5C%5CFuture%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3D13%2C782.1219%20%5C%5C%5C%5C)
Future value of annuity (FV) = $13,782.12 (Approx)
Answer:
Step-by-step explanation:
Volume of cylinder:

<u>Bottom cylinder:</u>
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
<u>Upper cylinder:</u>
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
Answer:
it going down dividing by 2
Step-by-step explanation:
Answer:
P(E|F)=60% P(E)=60% Events E and F are independent
Step-by-step explanation:
I took it and got it right