Answer:
- <u>Best Buy sells 560 iPods</u>
- <u>Sears sells 70 iPods</u>
Explanation:
You may set a system of equations.
<u>1. Name the variables: </u>
- B= <em>number of iPods</em> sold by <em>Best Buy</em>
- S =<em> number of iPods</em> sold by <em>Sears</em>
<u>2. Translate every verbal statement into a mathematical expression</u>
a) <em>A local Best Buy sells 8 times as many iPods as Sears</em>.
b) <em>The difference between their sales is 490 iPods</em>.
<u>3. Solve the system of equations</u>
a) Substitute B = 8S into the second equation
b) Add like terms
c) Divide both sides by 7
d) Substitue S = 70 into B = 8S
<u>Solution:</u>
- Best Buy sells 560 iPods
- Sears sells 70 iPods
Answer:
Explanation:
Monthly payments from <em>mortgages</em> are calculated with the compounding montly interest rate.
Thus, you can "calculate" the monthly rate and the multiply by 12 to obtain the <em>APR</em> (annual percentage rate).
The equation for the <em>monthly payment </em>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)
- Loan = 80% × $1,800,00 = $1,440,000
- Monthly payment = $10,800
- t = number of months = 25 × 12 = 300
Substitute:
![\$10,800=\$1,440,000\times \bigg[\dfrac{r(1+r)^{300}}{(1+r)^{300}-1}\bigg]](https://tex.z-dn.net/?f=%5C%2410%2C800%3D%5C%241%2C440%2C000%5Ctimes%20%5Cbigg%5B%5Cdfrac%7Br%281%2Br%29%5E%7B300%7D%7D%7B%281%2Br%29%5E%7B300%7D-1%7D%5Cbigg%5D)
You must find r but it is very difficult to make it the subject of the equation; thus, the best is to do succesive calculations:
Tests:
r monthyly payment
- 0.01 $15,166.43 > $10,800 ⇒ lower
- 0.005 $ 9,277.94 < $10,800 ⇒ increase
- 0.006 $10,362.08 pretty close; increase a little bit
- 0.00639059 $10,800 ↔ this is the number
Multiply the rate by 12 (to obtain the APR): 0.00639059 × 12 = 0.07668708 = 7.67%.
b
Explanation:
From the lessee's perspective, in the earlier years of a lease, the use of the:
capital method will cause debt to increase, compared to the operating method.Therefore option b is correct. As in early years of lease operating method is far more beneficial then the capital method.
During this week of low production, the price for pallets does not change at all. Given this observation this firm likely faces Oligopoly. Below is further explanation on Oligopoly.
<h3>What is Oligopoly?</h3>
An oligopoly is a market featured by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.
Therefore, the correct answer is Oligopoly.
learn more about Oligopoly: brainly.com/question/13658628
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