It lies between 8 and 9 .
Answer:
2.9%
Step-by-step explanation:
The problem says the stations are 260 feet apart. Assuming that this is the horizontal distance between them, then the grade is:
7.5 / 260 × 100% = 2.9%
This is less than the maximum of 3.5%, so it meets the standards.
- 5/3 - - 15/7
- 5/3 + 15/7 (- - cancel out)
- 35/21 + 45/21
-10/21
Original price of the iPhone = $1200.00
Percentage of discount given for memorial day = 35%
Cost of the iPhone after the discount :
![= 1200 - 35\% \: \: of \: \: 1200](https://tex.z-dn.net/?f=%3D%201200%20-%2035%5C%25%20%20%5C%3A%20%20%5C%3A%20of%20%20%5C%3A%20%20%5C%3A%201200)
![= 1200 - \frac{35}{100} \times 1200](https://tex.z-dn.net/?f=%20%3D%201200%20%20-%20%20%5Cfrac%7B35%7D%7B100%7D%20%20%5Ctimes%201200)
![= 1200 - \frac{42000}{100}](https://tex.z-dn.net/?f=%20%3D%201200%20%20-%20%20%20%5Cfrac%7B42000%7D%7B100%7D%20)
![= 1200 - 420](https://tex.z-dn.net/?f=%20%3D%201200%20-%20420)
![=\color{hotpink} \$ \: 680](https://tex.z-dn.net/?f=%20%3D%5Ccolor%7Bhotpink%7D%20%5C%24%20%5C%3A%20680)
Thus, the price of the iPhone after the discount = $680
Percentage of sales tax applied on the discounted price = 8%
Sales tax :
![= 8\% \: \: of \: \: 1200](https://tex.z-dn.net/?f=%3D%208%5C%25%20%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20%20%5C%3A%20%201200)
![= \frac{8}{100} \times 1200](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B8%7D%7B100%7D%20%20%5Ctimes%201200)
![= \frac{9600}{100}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B9600%7D%7B100%7D%20)
![= \color{hotpink}\$ \: 96](https://tex.z-dn.net/?f=%20%3D%20%5Ccolor%7Bhotpink%7D%5C%24%20%5C%3A%2096)
Sales tax = $96
Price of iPhone after sales tax :
![= 680 - 96](https://tex.z-dn.net/?f=%20%3D%20680%20-%2096)
![=\bold\color{hotpink} \$ \: 584](https://tex.z-dn.net/?f=%20%3D%5Cbold%5Ccolor%7Bhotpink%7D%20%5C%24%20%5C%3A%20584)
Therefore, the final price of the phone = <u>$584</u>