Answer:
Balance after 30 years = $151,018.50
Explanation:
In order to calculate this, we will calculate the future value on an amount invested, gaining interest over the years of investment, and this is given by:
![FV = PV (1 + r)^{t}](https://tex.z-dn.net/?f=FV%20%3D%20PV%20%281%20%2B%20r%29%5E%7Bt%7D)
where:
FV = future value
PV = present value
r = interest rate
t = time in years.
Hence the future value is calculated as follows:
1. For the first 10 years at 7% interest:
7% interest = 7/100 = 0.07
![FV = 12,500 (1 + 0.07)^{10}](https://tex.z-dn.net/?f=FV%20%3D%2012%2C500%20%281%20%2B%200.07%29%5E%7B10%7D)
![FV = 12,500 (1.07)^{10}\\FV = 12,500 * 1.967 = 24,589.392](https://tex.z-dn.net/?f=FV%20%3D%2012%2C500%20%281.07%29%5E%7B10%7D%5C%5CFV%20%3D%2012%2C500%20%2A%201.967%20%3D%2024%2C589.392)
2. For the last 20 years at 9.5%(0.095) interest:
Note that for the remaining 20 years, the present value (PV) used = 24,589.392, as ending balance after the first 10 years
![FV = 24,589.392 (1 + 0.095)^{20}](https://tex.z-dn.net/?f=FV%20%3D%2024%2C589.392%20%281%20%2B%200.095%29%5E%7B20%7D)
![FV = 24,589.392 (1.095)^{20}\\FV= 24,589.392 * 6.1416\\FV = 151,018.496](https://tex.z-dn.net/?f=FV%20%3D%2024%2C589.392%20%281.095%29%5E%7B20%7D%5C%5CFV%3D%2024%2C589.392%20%2A%206.1416%5C%5CFV%20%3D%20151%2C018.496)
Total Future value earned = $151,018.50
<u><em>Answer:</em></u>
<u><em>Mixed economy</em></u>
<u><em>Explanation:</em></u>
There are three types of Economies:
<u><em>Command Economy:</em></u>
An economy where price and products are controlled by the government. It is very commonly seen in communist countries, like China or Vietnam.
<u><em>Free market:</em></u>
An economy where the government has little to no control. However, a perfect free economy doesn't exist anywhere, and is just a concept.
<u><em>Mixed Economy:</em></u>
An economy where the market is controlled by both the people/consumers, and the government. America is a mixed economy. Individuals are allowed to own property with little government intervention. However, the government has a lot more control over other sectors of the market.
<u><em>So, to answer the your question, because the Mixed economy is controlled by the government and the poeple, it is the answer.</em></u>
Answer: 0.3
Explanation:
The Sharpe ratio is simply used by organizations and investors in order to compare the return on an investment to its risk.
From the question, we are informed that a portfolio has a 30% standard deviation generated a return of 15% last year when T-bills were paying 6.0%.
The Sharpe ratio will be:
= (15% - 6.0%)/30%
= 9%/30%
= 0.09/0.3
= 0.3
Answer:
You must consider the physical aspects of different work environments when choosing a career.
Answer:
Stella should consume less of milk and more of cookies to maximize total utility.
Explanation:
The price of cookies is $9, and the price of milk is $3.
Stella consumes 10 cookies and 5 cartons of milk.
The marginal utility of 10th cookie is 50 utils and the marginal utility of 5th carton of milk is 25 utils.
Her total utility will be maximized if the ratio of marginal utility and price will be equal for both cookies and milk.
Ratio for cookies
= ![\frac{MUx}{Px}](https://tex.z-dn.net/?f=%5Cfrac%7BMUx%7D%7BPx%7D)
= ![\frac{50}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B9%7D)
= 5.55
Ratio for milk
= ![\frac{MUy}{Py}](https://tex.z-dn.net/?f=%5Cfrac%7BMUy%7D%7BPy%7D)
= ![\frac{25}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B3%7D)
= 8.33
Since the ratio is higher for milk, it means that Stella should consume less of milk and more of cookies to maximize total utility.