Answer: its yes
Step-by-step explanation:
Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.
Answer:
The proportion is 3/4=9/12
Step-by-step explanation: For proportions you need to write it in a ratio, after doing that, you look at the outside numbers on the ratio on this case it is 3 and 12, multiply that and you get 36, after that do the same with the inside numbers to get another 36.
There is no restriction upon the domain, the x values, and is all real numbers or (-oo,+oo)
From such it is clear that the domain also contains all real numbers.
The range of f(x) is (-oo,+oo)
