Hello!
This equation is written in slope-intercept form.
Slope-intercept form is y = mx + b, where m is the slope and y is the y-intercept.
Since the coefficient -7/6 is multiplied with x, the slope (or m) has to equal to -7/6.
Therefore, the slope of the line is -7/6.
36 and 48
a = b+12
a+b = 84
(b+12) + b =84
2b +12 = 84
2b = 72
b= 36
a = b + 12
a = 36 + 12
a = 48
Answer:
The answer is -2.
Step-by-step explanation:
7w + 18 = 10w + 24
7w = 10w + 6
-3w = 6
w = -2
<span>2.1/1.488
</span><span>=<span>1.41129
Rounded to the nearest tenth is, </span></span><span>1.4.
I hope this helped! ;)</span>
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.
