Answer: a. $120,000
b. $6,000
c. Yes
Explanation:
a. It is said that the collection centres would help reduce the collection time by 2 days and that every day $60,000 comes in.
If the proposal will reduce the amount of time taken to collect by 2 days then that means that the amount freed up is the amount that they would have collected in two days had it not been for the system.
That amount would be,
= $60,000 * 2
= $120,000
b. If they used this free up cash to pay off a debt that was accumulating 5% per year then the 5% will be saved.
The amount saved therefore is,
= 120,000 * 5%
= $6,000
By retiring a $120,000 that was accruing $6,000 a year, the proposal has enabled that $6,000 to be saved instead.
c. The cost of implementing this proposal is $5,200 per year and yet the savings it gives in interest is $6,000.
As the savings are higher than the cost, the number definitely suggest that the project should be implemented because it is more beneficial than it costs.
Answer:

Explanation:
The equation to calculate the <em>monthly payment</em> for fixed-rate loans is:
![Monthly\text{ }payment=Loan\times \bigg[\dfrac{r(1+r)^t}{(1+r)^t-1}\bigg]](https://tex.z-dn.net/?f=Monthly%5Ctext%7B%20%7Dpayment%3DLoan%5Ctimes%20%5Cbigg%5B%5Cdfrac%7Br%281%2Br%29%5Et%7D%7B%281%2Br%29%5Et-1%7D%5Cbigg%5D)
Where:
- Loan = $8500 - $300 = 8,200
- r is the monthly interest = 5.75% / 12 = 0.0575/12 ≈ 0.00479
- t is the number of moths = 36
Substituting:
![Monthly\text{ }payment=\$8,200\times \bigg[\dfrac{(0.0575/12)(1+(0.0575/12))^{36}}{(1+(0.0575/12))^{36}-1}\bigg]=\$ 248.53](https://tex.z-dn.net/?f=Monthly%5Ctext%7B%20%7Dpayment%3D%5C%248%2C200%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B%280.0575%2F12%29%281%2B%280.0575%2F12%29%29%5E%7B36%7D%7D%7B%281%2B%280.0575%2F12%29%29%5E%7B36%7D-1%7D%5Cbigg%5D%3D%5C%24%20248.53)
Answer:
I will accept the offer if the price per painting is $56,312.41 or higher.
Explanation:
We will calculate the present value of the other option which is, selling our painting as a freelancer.
C 315,000.00
time 5
rate 0.2
PV $942,042.8241
Now, we subtract the signing bonus of 100,000
942,042.83 - 100,000 = 842,042.83
And solve for the annual proceeds from the painting we need to equalize the opportunity cost:
PV 842,042.83
time 5
rate 0.2
C $ 281,562.03
Now, we divide by the 5 painting per year:
$281,562.03 per year / 5 painting per year = $56,312.41
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