Answer:
a. $2953.9
b. $2813.24
Explanation:
To calculate the future value of an annuity paid at the beginning of the period, you have:
![VF = A\left[\frac{(1+i)^{n+1} - (1+i)}{i}\right] = 100\left[\frac{(1.05)^{19} - (1.05)}{0.05}\right] = 2953.9](https://tex.z-dn.net/?f=VF%20%3D%20A%5Cleft%5B%5Cfrac%7B%281%2Bi%29%5E%7Bn%2B1%7D%20-%20%281%2Bi%29%7D%7Bi%7D%5Cright%5D%20%3D%20100%5Cleft%5B%5Cfrac%7B%281.05%29%5E%7B19%7D%20-%20%281.05%29%7D%7B0.05%7D%5Cright%5D%20%3D%202953.9)
To calculate the future value of an annuity paid at the end of the period, you have:
![VF = A\left[\frac{(1+i)^{n} - 1)}{i}\right] = 100\left[\frac{(1.05)^{18} - 1)}{0.05}\right] = 2813.24](https://tex.z-dn.net/?f=VF%20%3D%20A%5Cleft%5B%5Cfrac%7B%281%2Bi%29%5E%7Bn%7D%20-%201%29%7D%7Bi%7D%5Cright%5D%20%3D%20100%5Cleft%5B%5Cfrac%7B%281.05%29%5E%7B18%7D%20-%201%29%7D%7B0.05%7D%5Cright%5D%20%3D%202813.24)
Mr. Knox will have $2953.9 at the end of the 18 years, if he pays $100 at the beginning of each year. On teh other hand, Mr Knox will have $2813.24 at the end of the 18 years, if he pays $100 at the end of each year.
The quantity of money demanded <u>increases</u> and the nominal interest rate <u>falls.</u>
In the short run, if the Fed(Federal Reserve) increases the quantity of money, the quantity of money demanded will increase and the nominal interest rate falls.
The quantity of the money supplied and the nominal interest rates has an inverse relation. That is, when there is a huge supply of money in a short-term, it will cause an increase in the nominal interest rate.
The nominal interest rate refers to the interest rate before adjusting to inflation or price-hike. It balances the supply and demand of money.
So when there is an increase in the supply of money ,there will be the resulting increase in the demand of money too. The total money that the population wants to hold is referred as the money demanded.
Learn more about Fed( US Federal Reserve) at brainly.com/question/25843620
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Answer:
The variable cost per bat is $10.15
Explanation:
The total cost can be calculated by multiplying the average cost per unit by the number of units. At the production level of 8000 units at $13 per unit, the total cost will be,
Total cost = 13 * 8000 = $104000
The total cost is made up of both fixed and variable costs.
Total variable costs = Total costs - total fixed costs
Total variable costs = 104000 - 22800 = $81200
The variable cost per unit = 81200 / 8000 = $10.15 per unit
Answer:
A. Offers ways for a firm to realize 1+1 = 3 benefits because the value chains of the different businesses present competitively valuable cross-busniess relationships.
Is a process that take place when a business expands its activities into product lines that are similar to those it currently offers.