Making larger monthly payments than required will pay off a loan faster. Thus, the answer is A.
Answer:
Step-by-step explanation:
Volume of tank is 3000L.
Mass of salt is 15kg
Input rate of water is 30L/min
dV/dt=30L/min
Let y(t) be the amount of salt at any time
Then,
dy/dt = input rate - output rate.
The input rate is zero since only water is added and not salt solution
Now, output rate.
Concentrate on of the salt in the tank at any time (t) is given as
Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000
dy/dt= dV/dt × dM/dV
dy/dt=30×y/3000
dy/dt=y/100
Applying variable separation to solve the ODE
1/y dy=0.01dt
Integrate both side
∫ 1/y dy = ∫ 0.01dt
In(y)= 0.01t + A, .A is constant
Take exponential of both side
y=exp(0.01t+A)
y=exp(0.01t)exp(A)
exp(A) is another constant let say C
y(t)=Cexp(0.01t)
The initial condition given
At t=0 y=15kg
15=Cexp(0)
Therefore, C=15
Then, the solution becomes
y(t) = 15exp(0.01t)
At any time that is the mass.
Answer:
the value of c(30) is 21.2, which represents the customers final cost of $21.20
Step-by-step explanation:
d
Answer:
Each person will get 2.7 ounces of potato salad.
Step-by-step explanation:
We are given that;
Total ounces of potato salad Greg made = 27 ounces
Number of persons to be served = 10 people
Now, we are told that each serving is the same size, thus it means each person will receive same size of potato salad.
Thus,
the amount received by each person = Total ounces of potato salad Greg made/total number of persons to be served.
So,
the amount received by each peron
= 27/10
= 2.7 ounces
Thus,
Each person will get 2.7 ounces of potato salad.
