Answer:
Explanation:
The interest expense would be
= Borrowing amount × annual rate of interest
= $80,000 × 8%
= $6,400
And, the principal would be
= Annual payment - interest expense
= $20,037 - $6,400
= $13,637
The principal balance on January 1, 2019 would be
= Borrowed amount - principal repaid amount
= $80,000 - $13,637
= $66,363
The interest expense would be
= Borrowing amount of 2019 × annual rate of interest
= $66,363 × 8%
= $5,309
And, the principal would be
= Annual payment - interest expense
= $20,037 - $5,309
= $14,728
Please give the options in order for us to determine which is best.
Answer:
![\left[\begin{array}{cccccc}&Cost&Assembly&Setting Up&Other&Total\\wages&349,000&226,850&69,800&52,350&349,000\\Depreciation&290,000&101,500&58,000&130,500&290,000&Utilities&199,000&29,850&149,250&19,900&199,000&Total&838,000&358,200&277,050&202,750&838,000&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D%26Cost%26Assembly%26Setting%20Up%26Other%26Total%5C%5Cwages%26349%2C000%26226%2C850%2669%2C800%2652%2C350%26349%2C000%5C%5CDepreciation%26290%2C000%26101%2C500%2658%2C000%26130%2C500%26290%2C000%26Utilities%26199%2C000%2629%2C850%26149%2C250%2619%2C900%26199%2C000%26Total%26838%2C000%26358%2C200%26277%2C050%26202%2C750%26838%2C000%26%5Cend%7Barray%7D%5Cright%5D)
Explanation:
We mulitply each line by the stated percent of each activity
<u>for example</u>
Setting Up % x Utilities= Utilities cost assigned to setting up
199,000x 75% = 149,250
Assembly % Depreciation= Depreciation cost assigned to assembly
35% x 290,000 = 101,500
This process must be done to assign each portion of cost.
Answer:
4.76%
Explanation:
The requirement in this question is determining the discount rate which gives the same present value in both cases since discount rates discount future cash flows to present value terms.
PV of a pertuity=annual cash flow/discount rate
PV of a pertuity=$17,000/r
PV of ordinary annuity=annual cash flow*(1-(1+r)^-n/r
PV of ordinary annuity=$30,000*(1-(1+r)^-18/r
$17,000/r=$30,000*(1-(1+r)^-18/r
multiply boths side by r
17000=30,000*(1-(1+r)^-18
divide both sides by 30000
17000/30000=1-(1+r)^-18
0.566666667=1-(1+r)^-18
by rearraging the equation we have the below
(1+r)^-18=1-0.566666667
(1+r)^-18=0.433333333
divide indices on both sides by -18
1+r=(0.433333333)^(1/-18)
1+r=1.047554315
r=1.047554315-1
r=4.76%
Pn = P0(1+r)∧n
Pnis future value of P0
P0 is original amount invested
r is the rate of interest
n is the number of compounding periods (years, months, etc.)
P(n) = 2250(1+(.03/4)∧8
** since the interest is compounding quarterly, you need to divide the rate by 4, the number of quarters in a year.
Then you would do the math.
