Answer:
The most expensive car can be afforded is = $17290.89
Explanation:
The down payment of a new car = $4000
The mothly payment (annuity ) = $350
Interest rate on the rate = 12% = 12% / 12 per month.
Now we have to calculate the most expensive car that can be afforded with the finance time of 48 months.
Below is the calculation:
![Present \ value = annuity \times \left [ \frac{1-(1+r)^{-n}}{r} \right ] \\= 350 \times \left [ \frac{1-(1+ 0.01)^{-48}}{0.01} \right ] \\= 13290.89 \\](https://tex.z-dn.net/?f=Present%20%5C%20%20value%20%3D%20annuity%20%5Ctimes%20%5Cleft%20%5B%20%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%20%5Cright%20%5D%20%5C%5C%3D%20350%20%5Ctimes%20%5Cleft%20%5B%20%5Cfrac%7B1-%281%2B%200.01%29%5E%7B-48%7D%7D%7B0.01%7D%20%5Cright%20%5D%20%5C%5C%3D%2013290.89%20%5C%5C)
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:
a) He will ask the audience to stand and do a simple yoga pose.
Explanation:
Base on the scenario been described in the question, we saw the Enrique is given a presentation to convince his managers that offering yoga classes at work will improve productivity because it will help employees clear their minds. The aspects of his presentation that shows he wants to include kinesthetic learners is , he asked the audience to stand up and do a simple yoga pose.
Kinesthetic learning is a learning style in which learning which involves the students doing physical activities, rather than watching demonstrations or listening to lectures.
Answer:
b. the implied warranty of merchantability
Explanation:
Implied warranty of merchantability refers to an implied assurance, in every sales transaction that the seller's goods are safe and fit for intended purpose of usage.
It represents an unspoken guarantee on the part of the seller that his goods conform to the acceptable standards and properly packaged and labeled and abide by the promises conveyed on their label.
The motive behind such a warranty being, the seller must properly inspect and test the quality of his goods before releasing them or making them available for sale in the market.
In the given case, the seller sold skis to the customer which cracked into two upon usage. The seller isn't aware of the cause of the consequence. Thus, the seller breached the principle of implied warranty of merchantabilty as per which, it should've first checked and inspected the skis before making them available for sale.
In general, real estate taxes are divided between the buyer and seller based on the number of days each party held (or will hold) the property during the tax year.
<h3>
What is Property tax?</h3>
- Real estate taxes and property taxes are the same things.
- They are levied on the majority of properties in the United States and paid to state and local governments.
- Property taxes (or real property taxes) generate funds that are generally used to help pay for state and local services.
- In general, real estate taxes are divided between the buyer and seller based on the number of days each party held (or will hold) the property during the tax year.
- Investors can defer taxation by selling a property investment and using the proceeds to buy another property in a 1031-like-kind exchange.
- Landowners can borrow against their current property's equity to make other investments.
Therefore, generally, real estate taxes for a tax year are divided between the buyer and the seller based on the number of days each party held (or will hold) the property.
Know more about Property tax here:
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