Answer:
The effective annual rate of interest is "10.38%".
Explanation:
The given values are:
Nominal annual interest rate,
Q = 10%
i.e.,
= 0.10
Quarterly compounding,
q = 4
Now,
The effective annual rate of interest will be:
= ![[{1 + (\frac{Q}{q} )}^q] - 1](https://tex.z-dn.net/?f=%5B%7B1%20%2B%20%28%5Cfrac%7BQ%7D%7Bq%7D%20%29%7D%5Eq%5D%20-%201)
On substituting the given values in the above formula, we get
= ![[{1 + (\frac{0.10}{4} )}^4] 1](https://tex.z-dn.net/?f=%5B%7B1%20%2B%20%28%5Cfrac%7B0.10%7D%7B4%7D%20%29%7D%5E4%5D%20%201)
= ![[(1 + 0.025)^4] - 1](https://tex.z-dn.net/?f=%5B%281%20%2B%200.025%29%5E4%5D%20-%201)
= 
= 
= 
On converting it into percentage, we get
= 
%
Answer:
$78,000
Explanation:
The computation of interest at year end is shown below:-
Interest at year end = Cash contribution + Income of partnership + Share of partnership liabilities - Cash from the partnership
= $50,000 + $20,000 × 50% + $60,000 × 50% - $12,000
= $90,000 + $10,000 + $30,000 - $12,000
= $78,000
Therefore for computing the partnership interest at year end we simply applied the above formula by considering all the items given in the question
Answer:
c. This sentence is false. Increasing transfer benefits like welfare will lower the opportunity cost of making decisions that can lead to poverty
Explanation:
Welfare programs involves<em> transfer payments</em>. These payments are made by the government in order to assist the marginalized sectors or people who are in need so they can thrive economically. In this case, the government just provides and doesn't receive anything in return.
If the government expenditures would increase, the transfer benefits would increase too. So this would most likely lead to "poverty" because<em><u> the government will just be spending money without any returns.</u></em>
Answer:
Mission Analysis.
Explanation:
Generally, the mission analysis activity focuses on the identification of the primary purpose(s) of the solution, while Stakeholder Needs and Requirements activity explores what capabilities stakeholders desire in accomplishing the mission and may include some detail on the performance of certain aspects of the solution.
Mission Analysis (MA) is described as part of the larger set of concept definition activities the set of systems engineering activities in which the problem space and the needs of the business or enterprise and stakeholders are closely examined.
Answer:
Present value Due = $9,364.92
Explanation:
Given:
Number of payment (n) = 20
Periodic payment (PMT) = $1,000
Rate of interest (i) = 10% = 10/100 = 0.1
Present value of annuity = ?
Computation of Present value of annuity:
![Present Value = PMT [\frac{1-(1+i)^{-n}}{i}] (1+i)\\](https://tex.z-dn.net/?f=Present%20Value%20%3D%20PMT%20%5B%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%5D%20%281%2Bi%29%5C%5C)
![Present Value = 1,000 [\frac{1-(1+0.1)^{-20}}{0.1}] (1+0.1)\\\\Present Value = 1,000 [\frac{1-(1.1)^{-20}}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{1-0.148643628}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 9,364.92](https://tex.z-dn.net/?f=Present%20Value%20%3D%201%2C000%20%5B%5Cfrac%7B1-%281%2B0.1%29%5E%7B-20%7D%7D%7B0.1%7D%5D%20%281%2B0.1%29%5C%5C%5C%5CPresent%20Value%20%3D%201%2C000%20%5B%5Cfrac%7B1-%281.1%29%5E%7B-20%7D%7D%7B0.1%7D%5D%20%281.1%29%5C%5C%5C%5CPresent%20Value%20%3D%201%2C000%20%5B%5Cfrac%7B1-0.148643628%7D%7B0.1%7D%5D%20%281.1%29%5C%5C%5C%5CPresent%20Value%20%3D%201%2C000%20%5B%5Cfrac%7B0.851356372%7D%7B0.1%7D%5D%20%281.1%29%5C%5C%5C%5CPresent%20Value%20%3D%201%2C000%20%5B%5Cfrac%7B0.851356372%7D%7B0.1%7D%5D%20%281.1%29%5C%5C%5C%5CPresent%20Value%20%3D%209%2C364.92)
Present value Due = $9,364.92
