Let
x = minutes used for jogging
y = minutes used for handball
z = minutes used for cycling
Th total time spent is 1 hour (60 minutes), therefore
x + y + z = 60
Because Mike jogs as long as he cycles, therefore
x = z
Therefore
2x + y = 60
or
y = 60 - 2x (1)
Jogging consumes 10 calories/min, handball consumes 9 calories/min and cycling consumes 12 calories/min.
The calories consumed in 60 minutes is 580, therefore
10 x + 9y + 12z = 580
Because x = z,
22x + 9y = 580 (2)
Substitute (1) into (2).
22x + 9(60 - 2x) = 580
22x + 540 - 18x = 580
4x = 40
x = 10
y = 60 - 2x = 40
z = x = 10
Answer:
10 minutes of jogging
40 minutes of handball
10 minutes of cycling.
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.
Answer:
The correct answer is option B.
Explanation:
The statement "There is no free lunch" means that no product is made for free. Production of any good or service requires resources. These resources are scarce and have alternative uses. So in order to produce any goods or services limited resources are used and its alternative uses are sacrificed.
Poor citizens will be greatly affected by a increase in taxes,nobody takes into account there day to day living,rent,utilities,food and that's just to name a few.
Answer:
The journal entry for the issuance of the common stock is shown below:
Explanation:
Cash A/c.............................................Dr $33,000
Common Stock A/c........................Cr $30
Paid in Capital A/c...........................Cr $32,970
Working Notes:
Cash = Number of shares × Issue Price
= 3,000 × $11
= $33,000
Common Stock = Number of Shares × Par Value
= 3,000 × $0.01
= $30
Paid in Capital = Cash - Common stock
= $33,000 - 30
= $32,970
