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.
The probability of getting a ace is 8/52
Answer:
3*( 8-2n)=5n
The number is 24/11
Step-by-step explanation:
three times
3*
the difference of eight and twice a number
3*( 8-2n)
is five times the number
3*( 8-2n)=5n
To solve
Distribute
3*8 -3*2n = 5n
24 -6n = 5n
Add 6n to each side
24 - 6n +6n = 5n +6n
24 = 11n
Divide each side by 11
24/11 = 11n/11
24/11 =n
The number is 24/11
Answer:
32
Step-by-step explanation:
i don't know if its right but i did 704 divided by 22 which equals to 22
