Answer: Proposal C
Explanation:
The way to solve this is to calculate the Present Values of all these payments. The smallest present value is the best.
Proposal A.
Periodic payment of $2,000 makes this an annuity.
Present value of Annuity = Annuity * ( 1 - ( 1 + r ) ^ -n)/r
= 2,000 * (1 - (1 + 0.5%)⁻⁶⁰) / 0.5%
= $103,451.12
Proposal B
Present value = Down payment + present value of annuity
= 10,000 + [2,200 * ( 1 - ( 1 + 0.5%)⁻⁴⁸) / 0.5%]
= 10,000 + 93,676.70
= $103,676.70
Proposal C
Present value = Present value of annuity + Present value of future payment
= [500 * (1 - (1 + 0.5%)⁻³⁶) / 0.5%] + [116,000 / (1 + 0.5%)⁶⁰]
= 16,435.51 + 85,999.17
= $102,434.68
<em>Proposal C has the lowest present value and so is best. </em>
Answer:
d. The distribution gives preferred stock to some common stock shareholders and common stock to other common stock shareholders.
Explanation:
This is likely the answer to the question. There is no way preferred stock would be given to some common stock shareholders while common stock to other stock to others.
Answer:
The first worker complete the job in 25 days himself
The second worker complete the job in 20 days himself
Explanation:
r1= rate of work done by first worker
r2=rate of work done by second worker
W= total work done
t days= time taken by the 1st worker to complete the job
r1(t)=W
r1=W/t (1)
Then the time taken by the 2nd worker to complete the job is t-5 days.
r2(t−5)=W
r2=W/(t−5) (2)
If 1st worker do the job for 1 hour and then both the worker do the job for 4 hours and 40% work is done, So
r1(1)+(r1+r2)(4)=4W/10
r1+4r1+4r2=4W/10
5r1+4r2=4W/10 (3)
Substitute equation 1 and 2 into (3)
5W/t+4{W/(t−5)}=4W/10
Multiply through by 10(t-5)
5/t+4/t−5=4/10
5(10)(t−5)+4(10)(t)=4(t−5)(t)
50t−250+40t=4t^2−20t
4t^2−110t+250=0
Solving the above quadratic equation using factorization method
4t^2−100t−10t+250=0
4t(t−25)−10(t−25)=0
(t−25)(4t−10)=0
t=25 or t=2.5
2.5 can't be the answer because if we take 2.5 days in which 1st worker completes the work, then the second worker will complete the work in -2.5days which is wrong.
The first worker completes the job in 25 days by himself and the second worker completes the job in 20 days by himself.
When there are a shortage of loanable funds and the interest rate rises, the quantity required exceeds the amount supplied, and the interest rate rises.
<h3>What happens if the interest rate in the economy rises?</h3>
Businesses and individuals will cut down on spending as interest rates rise. Earnings will suffer as a result, as will stock values. Consumers and corporations, on the other hand, will boost spending when interest rates have decreased dramatically, leading stock values to climb.
The availability of loanable funds indicates that as the interest rate rises, the amount of savings accessible will rise as well.
As a result, anytime interest rates rise, the economy will see a sudden and unexpected surge in borrowing costs.
Learn more about interest rates:
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Answer:
Looking through a suspect's garbage for possible evidence.
Explanation:
When an investigation is being carried out, looking through a suspect's trash is a good strategy.
People tend to discard relevant documents in am investigation through their trash, and looking through their garbage can uncover items that will give insights on cases.
For example if an individual commits a fraud in the process of concealment he may have torn up a document, and put it in the trash for disposal. People feel nobody goes through trash and that it is a good way of disposing evidence.