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:
sales era
Explanation:
The sales era (1920s - 1950s) was a time where manufacturers started to emphasize on effective sales forces and effective sales techniques because of increasing competition and increasing output levels. The goal of sales management was to find enough consumers for the company's total output.
Answer:
D: Loss leading
Explanation:
Loss leading or the loss leaders is the concept where we decree the price of certain well known and popular products to such a level that customers are amazed. We even start selling that product below its cost as well. The basic logic behind loss leaders is to increase the store traffic and therefore increasing the sales. For example, if everyone is selling eggs at $2 per dozen, and you get it at $1.5 from the whole seller then you can either sell it at the same amount on which you purchasing it from the whole seller, at $1.5 or even below than this at £1.3. People knows that eggs are usually sols at $1.5 but your concept of loss leading will attract them towards your store, and besides purchasing eggs at $1.3, they will also but many other high profit margins products as well.
Answer:
with the new rate we will pay in 58 months.
if there is 2% commision charge: 59.35 = 60 months
Explanation:
Currently we owe 10,000
This will be transfer to a new credit card with a rate of 6.2%
We are going to do monthly payment of 200 dollars each month
and we need to know the time it will take to pay the loan:
We use the formula for ordinary annuity and solve for time:
C $200.00
time n
rate 0.005166667 (6.2% rate divide into 12 months)
PV $10,000.0000
We arrenge the formula and solve as muhc as we can:
Now, we use logarithmics properties to solve for time:
-57.99227477 = 58 months
part B
If there is a charge of 2% then Principal = 10,000 x 102% = 10,200
we use that in the formula and solve:
-59.34880001 = 59.35 months