Answer:
Ans. He must save during each of the following 10 years, at the end of each year $32,452.
Explanation:
Hi, in order to find the amount of money that he should have in ten years so he can receive an annual payment of $65,156 for 25 more years (24 payments), we need to bring to present value all 24 payments to year 10. Let me show you the formula.
Where:
A= $65,156
n= 24
r= 0.08
Therefore the present value in year 10 is:
So that is our present value in year 10, or to put it in other words, our future value (if we look at it from year 0). Now we need to find the annuity (amount to save) that with account for $686,012, plus that $100,000 that he already has saved.
Every should look like this.
And we solve this equation for "A".
Best of luck.
Answer: Options A and C are strengths while options B and D are weaknesses. See explanation below.
Explanation:
a. All employees must take at least five consecutive days off each year.
This is a strength in internal control. This would help to maintain stability in operational process and ensure leave days are effectively utilized. It also prevents staff from taking the leave days in piecemeal and sporadic manner thereby disrupting the operational process and causing team instability. It is also used to ensure leave days are promptly utilised and well accounted for.
b. The accounting department orders merchandise and approves invoices for payment.
This is a weakness in internal control. There should be a check and balance in this regard. In some organizations, proper scrutiny of the vendor and invoice is done by the Procurement Unit and the Expense Control Unit respectively. Even within the accounting department, there is approval hierarchy. Also, the unit within accounting department that is making the order should not be the one to approve the transaction.
c. Cash received over the counter is controlled by the sales clerk, who rings up the sale and places the cash in the register. The daily sales are recorded in the accounting records by the accounting department.
This is a strength in internal control as it ensures checks and balances. Fraud and error can be detected through this means. The accounting department should verify the transactions to the relevant supporting document before recording the transaction in the system.
d. The officer who signs checks need not examine the payment packet because he is confident the amounts are correct.
This is a weakness in internal control in the sense that checks signed by the officer is binding in the court of law. The officer cannot claim ignorance if anything goes wrong. There is therefore a need for proper scrutiny and relevant questions asked before checks are signed.
The answer is imperfect price discrimination and this increase total producer surplus.
Imperfect price discrimination it is about the monopoly of pricing to get the customers. The seller applies a strategy to get the market from buying the products. Then set customers by the group, those who buy for wholesale gets a lower price than in retail.
Answer:
The correct answer is (B)
Explanation:
Economists are helpful to predict future economic and financial phenomenon’s. In that regard, statistical or mathematical models are considered more appropriate and it is said that they provide better results. In the above scenario, Syd is attempting to construct an economic model for that, the suitable technique to examine the cause and effect to predict the outcomes are mathematical functions. The reason is that mathematical models are more appropriate to predicts cause and effect.
Answer:
There are 211 quarters and 216 dimes
Explanation:
To answer this question, we need to properly understand what a dime is and what a quarter is. A quarter is 25 cents while a dime is 10 cents in value.
Let the number of dimes present be d and the number of quarters present be q.
We are told that he has 5 more dimes than quarters.
Mathematically, this means that:
d - q = 5 or d = q+ 5 .......(I)
The total value there is $74.35. In cents, this has a value of 7435 cents.
Mathematically:
25q + 10d = 7435......(ii)
We substitute what we have in 1 in 2
25q + 10(q+5) = 7435
25q + 10q + 50 = 7435
35q + 50 = 7435
35q = 7435-50
35q = 7385
q = 7385/35
q = 211
Recall, d = q+ 5 ; d = 211 + 5 = 216
