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:
The margin of error E that corresponds to a 95% confidence level is: 
Step-by-step explanation:
The propocion is 
The sample size 
95% confidence level
Level of significance = 1-level of confidence
Level of significance = 1-0.95 = 0.05
The formula for the error is:
The value for 
according to the normal table
So:
1) Given
2) Midpoint of segment AC is given as B. Therefore, AB~= BC
3) Given
4) Knowing that AC~=BC, AC~= DE
Hope I helped :)
Answer:
The value of x is 6
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Q is the mid-point of the segment PR
∵ Q is the mid-point of segment PR
∴ Q divided the segment PR into two equal parts
- When point Q divided the segment PR into two equal parts,
then the two parts are PQ and QR
∴ PQ = QR
∵ PQ and QR are 7x - 16 and 4x + 2
∴ 7x - 16 = 4x + 2
- Subtract 4x from both sides
∴ 7x - 4x - 16 = 2
∴ 3x - 16 = 2
- Add 16 to both sides
∴ 3x = 2 + 16
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
∴ The value of x is 6
