Answer:
Annual contributions to the retirement fund will be $6,347.31
Explanation:
First find the Present Value of the Annuity giving payments of $32,000 annually for 25 years at the rate of 10%.
Using a Financial Calculator enter the following data
PMT = $32,000
P/y = 1
N = 25
R = 10%
FV = 0
Thus, the Present Value, PV is $290,465.28
At the time of retirement (in 20 years time) the Value of the annuity fund is $290,465.28.
Next we need to find the Payments PMT to reach this amount in 20 years time at the interest rate of 8%
Using a Financial Calculator enter the following data
FV = $290,465.28
N = 20
R = 8 %
PV = $0
Thus, the Payments, PMT required will be $6,347.3080
Conclusion :
Annual contributions to the retirement fund will be $6,347.31
Answer:
Budget Line rotates inwards (leftwards/ downwards) on that axis, optimal quantity demanded at that higher price .
Explanation:
Budget line represents product combinations that a consumer can afford , using all income with given prices & income.
If price of a product increases, the consumer can consume lesser amount of the product due to higher prices . So, the budget line rotates inwards (leftwards / downwards) on the corresponding x / y axis denoting that good.
So, inwards rotation of the budget line on the corresponding axis representing the price risen good - leads to reduction in the quantity of the good whose price has risen.
Answer:
Explanation:
Present Value Years Interest Rate Future Value
PV n r FV
1. $10,681 10 6% $19,128
2. $35,157 2 11% $43,317
3. $129,107 14 14% $808,382
4. $65,293 19 13% $665,816
Present value of future cash flow will be calculated by using discount formula which is as follow:
PV = FV / ( 1 + r ) ^n
1. PV = $19,128 / ( 1 + 0.06 )^10 = $10,681
2. PV = $43,317 / ( 1 + 0.11 )^2 = $35,157
3. PV = $808,382 / ( 1 + 0.14 ) ^14 = $129,107
4. PV = $665,816 / ( 1 + 0.13 ) ^19 = $65,293
Answer:
b. a one-tail test should be utilized.
Explanation:
It can be said that the best way for the economist to make this determination would be to use a one-tail test. This is a statistical test in which the critical area of a distribution is one-sided, making it either exceed or fall short of a certain value, but not both as seen in the graph below. Which in this case, the certain value would be $50,000 and the information will be on either side. Thus showing the economist if the mean family income truly exceeds the $50,000
Answer:
=$5,230,000
Explanation:
Annual Depreciation=Depreciable Value×Units produced during the year estimated total production
The units of the depreciation method start by calculating the depreciable amount.
Depreciable amount = Assets cost - salvage value
=$21,220,000.-$4,000,000
=$17,220,000
depreciation expense per unit= depreciable amount/production capacity
=$17,220,000/210,000 per tone
=$82 per tone
During the year, 195,000 were extracted.
The depreciation value for the year will be
= 82 x 195,000
=$15,990,000
book value will be asset cost minus depreciation expense
=$21,220,000 -$15,990,000
=$5,230,000
.
