Option A. Is the correct answer because you are multiplying 7, 5 times!
Answer:
![y = 34000(1-0.06) ^ t](https://tex.z-dn.net/?f=y%20%3D%2034000%281-0.06%29%20%5E%20t)
After 7.40 years it will be worth less than 21500
Step-by-step explanation:
This problem is solved using a compound interest function.
This function has the following formula:
![y = P(1-n) ^ t](https://tex.z-dn.net/?f=y%20%3D%20P%281-n%29%20%5E%20t)
Where:
P is the initial price = $ 34,000
n is the depreciation rate = 0.06
t is the elapsed time
The equation that models this situation is:
![y = 34000(1-0.06) ^ t](https://tex.z-dn.net/?f=y%20%3D%2034000%281-0.06%29%20%5E%20t)
Now we want to know after how many years the car is worth less than $ 21500.
Then we do y = $ 21,500. and we clear t.
![21500 = 34000(1-0.06) ^ t\\\\log(21500/34000) = tlog(1-0.06)\\\\t = \frac{log(21500/34000)}{log(1-0.06)}\\\\t = 7.40\ years.](https://tex.z-dn.net/?f=21500%20%3D%2034000%281-0.06%29%20%5E%20t%5C%5C%5C%5Clog%2821500%2F34000%29%20%3D%20tlog%281-0.06%29%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7Blog%2821500%2F34000%29%7D%7Blog%281-0.06%29%7D%5C%5C%5C%5Ct%20%3D%207.40%5C%20years.)
After 7.40 years it will be worth less than 21500
There are 5 numbers and 5 colors
Total outcomes is numbers x colors
Total outcomes = 5 x 5 = 25
Answer: 25
Answer:
Both students are correct
Step-by-step explanation:
12 divided by 3 is 4
12 * 1/3 = 12/3 = 4
The same has the teacher answer key
We know there are 12 months in a year so we would multiply 1 1/4 by 12. We can write 1 1/4 as 1.25 (to make it easier to multiply). 12x1.25=15
Your answer is 15 vacation days in one year