1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4; Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is f(t) = 2t^2 - 22t + 100.
2. By the compound interest formula:
A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
results A(t) = 100 (1+0.12)^t.
3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
Answer:
-125
Step-by-step explanation:
[-5]^3 = -125
Answer:
34:103
Step-by-step explanation:
Add up all the numbers and then put gold then : then the numbers added up
Answer:
As per the given statement: Jeremiah always rides his bike to and from work the total length of the trip to and from work is 14.6 kilometers last month.
⇒
Also, it is given that Jeremiah worked 18 days.
then;
Simplify:
Therefore, 262.8 km did he rode his bike to and from work last month
Answer:
h=3.9x+15.85 meters
Step-by-step explanation:
Let's say that the height of the floor just before the roof to the highest point of the roof is also 3.9 m, perhaps, we have an almost flat roof
Since the FM radio antenna is fixed on top of roof, the total height is that of previous floors and the antenna
Taking the building to have x number of floors with each floor having 3.9 m height, the function of height will be
h=3.9x + 15.85 meters
