To get a percent rate, let the value of the car based on two consecutive years. The variable x represents a year. You can set any two numbers of year as long as they are consecutive; say x = 0 and x = 1.
Use the calculator to get instantly the values of V(x).
For V(x = 0)
V(x = 0) = 107,000(1.009)^[2/3(0)] = 107,000
For V(x = 1)
V(x - 1) = 107,000(1.009)^[2/3(1)] = 107,641
Another way of getting the percentage between two values is called the "relative change."
(107,641 - 107,000) / 107,000 = 0.0060 = 0.60%
Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:
So we apply chain rule:
=
Set our first derivative to zero and solve for x:
3(x^2 - 1) * 2x = 0
So we can see that (by plugging in) 0, -1 and 1 makes our solution true
So our critical value is x = 0, x = -1, x = 1
1/10 < 7/8
Hope this helps :)
Answer:
960
Step-by-step explanation:
I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.
Consider the speed 4/5 miles in 12 minutes to travel 2/8.
8 + 4 = 12, so you can replace that with 12 minutes.
Now, you can absolutely guess your question.
Time = 12 minutes.
Distance = x (Let x be distance)
Speed = 4/5.
Now, you find distance.
Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.
So 4/5 × 12, is 9.6.
In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.
Here is a pattern I found
2/5 divided by 4 is 1/10
4/5 divided by 8 is 1/10
