Use the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 4500
PMTthe actual end-of-year payment?
R interest rate 0.12
N 4 equal annual installments
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT=4,500÷((1−(1+0.12)^(−4))÷(0.12))
PMT=1,481.55
Answer:
a. How long will the current bridge system work before a new bracing system is required?: 64.18 years or 64 years and 2 months.
b. What if the annual traffic rate increases at 8 % annually: The bracing system will last for 24.65 years or 24 years and 7 months.
c. At what traffic increase rate will the current system last only 12 years: 17.13%
Explanation:
a. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 3% or 1.03 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.03^x = 2000. Show the equate, we have 1.03^x = 6.67 <=> x = 64.18
b. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 8% or 1.08 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.08^x = 2000. Show the equate, we have 1.08^x = 6.67 <=> x = 24.65.
c. Denote x as traffic increase rate. The current pedestrian is 300, the grow rate per year is (1+x) times a year. Thus, to reach 2,000 after 12 years and thus a new bracing system to be in place, we have the equation: 300 x (1+x)^12 = 2000. Show the equate, we have (1+x)^12 = 6.67 <=> 1+x = 1.1713 <=> x = 17.13%.
Answer:
D.
discouraging the use of products like alcohol and tobacco
Explanation:
Excise taxes can be regarded as taxes that are been paid after purchasing a particular goods such as gasoline, it is also extended on activities like usage of high ways.. It should be noted that besides raising revenue, discouraging the use of products like alcohol and tobacco is another important use of excise taxes.
The statement " agree to share the research and work together on creating the presentation. " is the "Develop an agreement" step of conflict resolution.
This is further explained below.
<h3>What is conflict resolution?</h3>
Generally, The process of finding a mutually agreeable and peaceful conclusion to a problem involving two or more people is referred to as conflict resolution.
There might be a variety of reasons for the dispute, including personal, economical, political, or emotional factors.
When a disagreement emerges, the most effective strategy for resolving the conflict is often to engage in some kind of negotiation.
The tactics and procedures that are engaged in ensuring the peaceful termination of conflict and punishment are referred to collectively as "conflict resolution."
In conclusion, The steps of conflict resolution are
- Determine where the issue is coming from.
- What precisely is the problem at hand?
- Consider the situation from a broader perspective and look for additional obstacles.
- Create a shared vision for the future.
- Investigate the many means through which their objective might be attained.
- Develop an agreement.
Read more about conflict resolution
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The correct answer is (a.) True. Overdraft protection means the bank will protect your funds from excessive taxation. This protection is most likely to be offered by small business since it helps them to gain additional income fees.