Answer:
$77,217
$11,289
Explanation:
Fist we will calculate the present value of $10,000 payment
A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity. The value of the annuity is also determined by the present value of annuity payment.
Formula for Present value of annuity is as follow
PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]
Where
P = Annual payment = $10,000
r = rate of return = 10% / 2 = 5%
n = number of period = 5 years x 2 semiannual payments per year = 10 payments
PV of annuity = $10,000 x [ ( 1- ( 1+ 0.05 )^-10 ) / 0.05 ]
PV of Annuity = $77,217
Now we will use the discounting method to calculate the present value of lump sum payment of $20,000
Present value = Future value x Present value factor
PV = FV x ( 1 + r )^-n
PV = $20,000 x ( 1 + 0.1 )^-6
PV = $11,289
Answer:
True
Explanation:
Generally, net income will be the same under absorption costing and variable costing. However, producing fewer units than units sold will decrease the net income under absorption costing. As whatever the variable cost is under the absorption method, fixed manufacturing overhead remains the same that decreases the gross profit and net income. Under the variable costing, the fixed overhead will be calculated as per the units produced. Therefore, the net income will decrease proportionately.
Answer:
20 years (scenario A) and 16 years (scenario B)
Explanation:
The real GDP will double in "n" number of years, with "n" estimated by interpolation using the formula below.
In the solutions below, we assumed current GDP to be 1, and as a result, the GDP will double to 2.
Scenario A
When you substitute 20 for "n" in the left hand side (LHS) of the equation, you will arrive at 1.99 which is approximately equal to 2. Any number below 20 will result in a number less than 2.
Thus, with an average annual real GDP growth rate of 3.5%, real GDP will double in about 20 years.
Scenario B
When you substitute 16 for "n" in the left hand side (LHS) of the equation, you will arrive at 2.02 which is approximately equal to 2. Any number below 16 will result in a number less than 2.
Thus, with an average annual real GDP growth rate of 4.5%, real GDP will double in about 16 years.
Answer:
C. Michael
Explanation:
The least preferred coworker scale is a method used to determine the leadership style of individuals. It was developed by Fred Fiedler and American scholar.
When a person gives positive feedback on coworkers they are more relationship oriented and get a high LPC score.
For those that give negative feedback on coworkers, they are task oriented and will get low LPC scores.
Relationship oriented style is used when employees are experienced and know what to do, while task oriented leadership is needed when the team is less experienced or results need to be delivered in a short time.
The organization is constantly confronted with a variety of changes in the market or a wide range of situations. So this requires a mix of both relationship and task oriented leadership to adapt to changing organisational needs.
Michael is the best option with middle LPC score.
It is important because they need money and food and water because they don't have that much.
