G is the answer because if you set x as the value of B, then x+(x+10)+(x+30)=180 so x=46.67. then you add 10 to that because the value of A is 10 more than B
Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
![V(t) = 14651(0.81)^{t}](https://tex.z-dn.net/?f=V%28t%29%20%3D%2014651%280.81%29%5E%7Bt%7D)
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
![V(t) = 14651(0.81)^{t}](https://tex.z-dn.net/?f=V%28t%29%20%3D%2014651%280.81%29%5E%7Bt%7D)
![(0.81)^t = \frac{V(t)}{14651}](https://tex.z-dn.net/?f=%280.81%29%5Et%20%3D%20%5Cfrac%7BV%28t%29%7D%7B14651%7D)
![\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}](https://tex.z-dn.net/?f=%5Clog%7B%280.81%29%5E%7Bt%7D%7D%20%3D%20%5Clog%7B%28%5Cfrac%7BV%28t%29%7D%7B14651%7D%29%7D)
![t\log{(0.81)} = \log{(\frac{V(t)}{14651})}](https://tex.z-dn.net/?f=t%5Clog%7B%280.81%29%7D%20%3D%20%5Clog%7B%28%5Cfrac%7BV%28t%29%7D%7B14651%7D%29%7D)
![t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B%28%5Cfrac%7BV%28t%29%7D%7B14651%7D%29%7D%7D%7B%5Clog%7B0.81%7D%7D)
(a) $8000
V(t) = 8000
![t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B%28%5Cfrac%7B8000%7D%7B14651%7D%29%7D%7D%7B%5Clog%7B0.81%7D%7D%20%3D%202.9)
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
![t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B%28%5Cfrac%7B6000%7D%7B14651%7D%29%7D%7D%7B%5Clog%7B0.81%7D%7D%20%3D%204.2)
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
![t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B%28%5Cfrac%7B1000%7D%7B14651%7D%29%7D%7D%7B%5Clog%7B0.81%7D%7D%20%3D%2012.7)
The car will be worth $1000 after 12.7 years.
Answer:
C) No, after multiplying 15.5 by 18 you need to divide by 25 to determine the number of boxes.
Step-by-step explanation:
The dimensions of the rectangular room are 15.5 feet x 18 feet. Which is a total area of: 15.5 x 18 = 279 ft².
The tiles being used are 12 inches x 12 inches or 1 foot x 1 foot. Since there are 25 tiles in each box, it can cover an area of 25 ft ².
When doing calculations with measurements, the measurements must be the same. For instance, you can not divide square feet by inches because they are different measurements. However, you can divide by square feet. To the total square footage of the room (279 ft²) can be divided by the amount of square feet covered by each box (25 ft²): 279/25 = 11.16 or a minimum of 12 boxes would be needed.
So for 1 1/3 you would go to 1 and count 3 lines after that and that is where you would plot it.
and for 2 4/9 you would count 4 lines after 2 but because there is only 6 lines you would divide by 2