Answer:
a-The present value of revenue in the first year is $61,085.92.
b-The total time it would take to pay for its price is 2.44 years of 29.33 months.
Explanation:
a-
Let the function of the revenue earned is given as
![S(t)=\left \{ {{66000t+38000} {\ \ 0The present value is given as [tex]PV=\int\limits^a_b {S(t)e^{-rt}} \, dt](https://tex.z-dn.net/?f=S%28t%29%3D%5Cleft%20%5C%7B%20%7B%7B66000t%2B38000%7D%20%7B%5C%20%5C%200%3C%2Fp%3E%3Cp%3EThe%20present%20value%20is%20given%20as%20%3C%2Fp%3E%3Cp%3E%5Btex%5DPV%3D%5Cint%5Climits%5Ea_b%20%7BS%28t%29e%5E%7B-rt%7D%7D%20%5C%2C%20dt)
Here
- a and b are the limits of integral which are 0 and 1 respectively
- r is the rate of interest which is 5% or 0.05
- S(t) is the function of value which is
![S(t)=\left \{ {{66000t+38000} {\ \ 0So the equation becomes[tex]PV=\int\limits^0_1 {S(t)e^{-0.05t}} \, dt\\PV=\int\limits^{0.5}_0 {(66000t+38000)e^{-0.05t}} \, dt+\int\limits^{1}_{0.5}{(71000)e^{-0.05t}} \, dt\\PV=\int\limits^{0.5}_0 {(66000t)e^{-0.05t}} \, dt+\int\limits^{0.5}_0 {(38000)e^{-0.05t}} \, dt+\int\limits^{1}_{0.5}{(71000)e^{-0.05t}} \, dt\\PV=8113.7805+18764.4669+34207.6751\\PV=61085.9225](https://tex.z-dn.net/?f=S%28t%29%3D%5Cleft%20%5C%7B%20%7B%7B66000t%2B38000%7D%20%7B%5C%20%5C%200%3C%2Fli%3E%3C%2Ful%3E%3Cp%3ESo%20the%20equation%20becomes%3C%2Fp%3E%3Cp%3E%5Btex%5DPV%3D%5Cint%5Climits%5E0_1%20%7BS%28t%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%5C%5CPV%3D%5Cint%5Climits%5E%7B0.5%7D_0%20%7B%2866000t%2B38000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%2B%5Cint%5Climits%5E%7B1%7D_%7B0.5%7D%7B%2871000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%5C%5CPV%3D%5Cint%5Climits%5E%7B0.5%7D_0%20%7B%2866000t%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%2B%5Cint%5Climits%5E%7B0.5%7D_0%20%7B%2838000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%2B%5Cint%5Climits%5E%7B1%7D_%7B0.5%7D%7B%2871000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%5C%5CPV%3D8113.7805%2B18764.4669%2B34207.6751%5C%5CPV%3D61085.9225)
So the present value of revenue in the first year is $61,085.92.
b-
The time in which the machine pays for itself is given as

The present value is set equal to the value of machine which is given as
$160,000 so the equation becomes:

So the total time it would take to pay for its price is 2.44 years of 29.33 months.
Answer: India / 11.1years
Explanation:
Per capita income (PCI) or average income measures or calculate the average income earned per person in a given place (country,city, region etc.) in a particular year. It can be calculated by dividing the area's total income or wealth by its total number of population.
India's GDP will increase or double than that of China's, because is has a larger income than that of China.
Answer: 2016 CPI is 110
Explanation:
Given the following :
Base year = 2012
Cost of basket in 2012 = $50
Cost of basket in 2014 = $52
Coat of basket in 2016 = $55
The Consumer Price Index (CPI) is calculated using the formula :
CPI = (weighted cost item in current period / weighted cost of item in base period) × 100
Base period / year = 2012
Current period = 2016
Therefore, 2016 CPI equals;
($55 / $50) × 100
= 110
Answer:
While Sony and Microsoft focused on the graphics and raw processing power favored by hard-core male gamers, Nintendo chose to develop a machine to appeal to families, women, and age groups that normally shunned violent games.
The strategy adopted by Nintendo in this example is the _____ strategy.
C) blue ocean
Explanation:
Blue ocean is a strategy that says innovation, simultaneous pursuit, and low cost are key concepts to achieve a successful business and establish an advantage in the market. It is a very proactive system that allows the constant improvement, elimination, reduction, and creation of corporate actions. It is a global and general perspective that allows the management team to know the state of the company at any time.
Answer:
d. 5.08%
Explanation:
We have to first calculate the YTM of the bond, and then apply the tax shield.
To get the YTM we have to calculate the rate of return of an annuity of 46.25 for 20 years compounding semiannually at IRR rate and the present value of the face value redeem in 20 years.


IRR = 0.084656891 (it should be done using financial calculator or excel or a similar software program)
then we apply the shield tax to the IRR:
IRR x (1 - tax-rate) = Cost of debt
0.084656891 * ( 1 - 0.4) = 5.0794= 5.08