Answer: $50,846.3701
Explanation:
Need to save $4 million to live comfortably,
Interest rate, r = 3%
N = 40 years
![Present\ value=\frac{FV_{N} }{(1+i)^{N}}](https://tex.z-dn.net/?f=Present%5C%20value%3D%5Cfrac%7BFV_%7BN%7D%20%7D%7B%281%2Bi%29%5E%7BN%7D%7D)
![Present\ value=\frac{4,000,000 }{(1+0.03)^{40}}](https://tex.z-dn.net/?f=Present%5C%20value%3D%5Cfrac%7B4%2C000%2C000%20%7D%7B%281%2B0.03%29%5E%7B40%7D%7D)
![Present\ value=\frac{4,000,000 }{3.262}](https://tex.z-dn.net/?f=Present%5C%20value%3D%5Cfrac%7B4%2C000%2C000%20%7D%7B3.262%7D)
= 1,226,241.57
![Present\ value\ of\ annuity= C\times\frac{1}{i}\times(1-\frac{1}{(1+i)^{N}}) + C](https://tex.z-dn.net/?f=Present%5C%20value%5C%20of%5C%20annuity%3D%20C%5Ctimes%5Cfrac%7B1%7D%7Bi%7D%5Ctimes%281-%5Cfrac%7B1%7D%7B%281%2Bi%29%5E%7BN%7D%7D%29%20%2B%20C)
![1,226,241.57= C\times\frac{1}{0.03}\times(1-\frac{1}{(1.03)^{40}})+C](https://tex.z-dn.net/?f=1%2C226%2C241.57%3D%20C%5Ctimes%5Cfrac%7B1%7D%7B0.03%7D%5Ctimes%281-%5Cfrac%7B1%7D%7B%281.03%29%5E%7B40%7D%7D%29%2BC)
![1,226,241.57= C\times\frac{1}{0.03}\times(1-\frac{1}{(1.03)^{40}})+C](https://tex.z-dn.net/?f=1%2C226%2C241.57%3D%20C%5Ctimes%5Cfrac%7B1%7D%7B0.03%7D%5Ctimes%281-%5Cfrac%7B1%7D%7B%281.03%29%5E%7B40%7D%7D%29%2BC)
![1,226,241.57=C[\frac{1}{0.03}\times(1-0.3065)+1]](https://tex.z-dn.net/?f=1%2C226%2C241.57%3DC%5B%5Cfrac%7B1%7D%7B0.03%7D%5Ctimes%281-0.3065%29%2B1%5D)
![1,226,241.57=24.1166\times C](https://tex.z-dn.net/?f=1%2C226%2C241.57%3D24.1166%5Ctimes%20C)
![C=\frac{1,226,241.57}{24.1166}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B1%2C226%2C241.57%7D%7B24.1166%7D)
= $50,846.3701
Hence, $50,846.3701 will be the annual payment to have $4 million in the account on 65th birthday.
Answer:
The correct answer is 777.169.56.
Explanation:
According to the scenario, the given data are as follows:
Payment per year (PMT) = $3,000
Time (N) = 40 years
Rate of interest (R)= 8%
So, the future value of the following can be calculated by using the following formula:
Future value = PMT × ![\frac{((1+r)^{n} -1)}{R}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%281%2Br%29%5E%7Bn%7D%20-1%29%7D%7BR%7D)
Now, put the value of the following in the formula. then,
= 3,000 × ![\frac{((1+8/100)^{40} -1)}{8/100}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%281%2B8%2F100%29%5E%7B40%7D%20-1%29%7D%7B8%2F100%7D)
= 3,000 × 259.0565
= 777,169.56
Hence, the value in the account after 40 years will be 777,169.56.
Answer:
Thomas Edison
Explanation:
Thomas Edison early life was very normal. He was born in a poor family. His mother was a school teacher. Thomas Edison did not get recognition until he was successful in inventing the bulb. He did many experiment which failed and no one supported him during this era. He continued his hard work and finally his one of experiment became successful and he invented a bulb. The world then recognized his efforts and made him a hero. His recognition was only based on the success of his experiment and the marketplace.
Answer:
A parliamentary system or parliamentary democracy is a system of democratic governance of a state (or subordinate entity) where the executive derives its democratic legitimacy from its ability to command the support ("confidence") of the legislature, typically a parliament, to which it is accountable.
Explanation:
I took the test
Answer:
Option A. The U.S. Constitution.
Explanation:
The reason is that the US constitution provides the basic framework for the laws to be formulated and passed both in the US National Assembly and the Senate. The laws cannot be formulated if the US constitution doesn't allows the passing of the law which means that the constitution must be amended first. When the slavery was to be eliminated in 1865, the first problem was that passing the elimination of slavery law was inconflict with the US constitution. So the constitution was amended before passing the law to eliminate the conflict.
In the nutshell, every law originates because of different reasons like Technological reasons, Social reasons, Cultural reason, etc) but the basis remains the same which is US constitution which is the basic framework for passing the law.