Answer:
2520 gallons
Step-by-step explanation:
3000 gallons -780 gallons drained over 6 hours then add 300 gallons over three hours = 2520 gallons
Answer:
Step-by-step explanation:
Sin(t)
Type in Sin in your calculator
Then the ‘t’ stands for the angle
So....
Sin(90)
The charge per unit of electricity is #415
The formula for E in terms of N is E = 375 + 40N
<h3>What is variation?</h3>
Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.
Analysis:
E = K + CN
where K and C are constants
When E = 3655, N = 82 and when E = 2055, N = 42
3655 = K + 82C ---------------1
2055 = K + 42C----------------2
subtract equation 2 from 1
40C = 1600
C = 40
substitute C in equation 1
3655 = K + 82(40)
3655 = K + 3280
K = 3655 - 3280 = 375
charge per unit is N = 1
E = 375 + 40(1) = #415
Formula for E in terms of N is E = 375 + 40N
In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N
Learn more about Variation: brainly.com/question/6499629
SPJ1
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.
