Given:
Future value, F=60508.29
Monthly payment, A = 165
Compounding period = month
Number of periods, n = 12*12=144
interest per period = i [ to be found ]
We have the relationship
F=A((1+i)^n-1)/i
but there is no explicit formula for i for given F, A and n.
We need to solve a non-linear equation for the value of i, the monthly interest rate.
One of the ways is to solve it by fixed iteration, i.e.
1. using the given relation, express i in terms of other parameters.
2. select an initial value of i
3. evaluate i according the equation in step 1 until the value is stable.
Here we will use the relationship to express
i=((60508.29*i)/165+1)^(1/144)-1 [ notice that i is on both sides of = sign ]
using an initial value of i=0.01 (about 1% per month).
Successively, we get
i=((60508.29*0.01)/165+1)^(1/144)-1=0.01075571
i=((60508.29*0.01075571)/165+1)^(1/144)-1=0.011160681, similarly
i=0.0113685
i=0.0114728
i=0.0115246
i=0.0115502
i=0.0115628
i=0.0115690
i=0.0115720
Assuming the above has stablilized, and the APR is 12 time the above value, namely
Annual percentage rate = 0.01157205998210142*12=0.13886=13.89%
Answer:
The old machine should be replaced.
Explanation:
Note: See the attached excel file for the the analysis showing whether the old machine should be retained or replaced.
From the attached excel file, the following calculation are made:
Variable Manufacturing cost of Retain = Initial Variable Manufacturing cost * remaining useful life of old machine = $592,600 * 5 = $2,963,000
Variable Manufacturing cost of Replace = New Variable Manufacturing cost * Remaining useful life of new machine = $505,500 * 5 = $2,527,500
From the attached excel, it can be observed that the total cost of Retain is $32,200 higher than the total cost of Replace. This therefore implies that the old machine should be replaced.
Answer:
26762.74
Explanation:
Prior service cost amortization for 2020 can be calculated by first calculating the average time until the employee's retirement. After calculating the average time until retirement we will divide the service cost at that time
Workings
average time until retirment = 1880/330
average time until retirment = 5.69 years
prior service cost amortization for 2020 = $152,280/5.69
prior service cost amortization for 2020 = $26762.74
Answer:
a.
Explanation:
Based on the information it can be said that in this scenario either party can appeal the decision to the United States Supreme Court if a federal question is involved. This means that there is an issue within the case that involves the constitution or other federal laws. These types of issues are cause for being able to take the case to the Supreme court.
Answer:
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Explanation:
hope it helps
answerd by Hami Radcliffe
