Answer:
The value of x = 100 ft^3/ day
Step-by-step explanation:
We need to look at what amount of water comes in and what amount of water leaves
What comes in: x ft^3/ day
What leaves : 500x ft^3/ day
We start with 146 000 ft^3
Water in tank = what we start with + what comes in - what leaves
water in tank = 146000 + x*d - 500*d where d is the number of days
After 365 days , the tank has 0 ft^3 of water
0 = 146000 + x*365 - 500*365
Multiply
0 = 146000 + 365x - 182500
Combine like terms
0 = -36500+365x
Add 36500 to each side
36500 = 36500-36500+365x
36500 = 365x
Divide by 365
36500/365 = 365x/365
100=x
The value of x = 100
Answer:
its 7
Step-by-step explanation:
Answer:
y=Ae^(1.25t)
Step-by-step explanation:
From the expression y=Ae^kt
After two days of the experiment, y = 49 million, t=2
After four days of the experiment, y= 600.25 million, t=4
A is the amount of bacteria present at time zero and t is the time after the experiment (in days)
At t=2 and y =49
49=Ae^2k…………….. (1)
At t=4 and y = 600.25
600.25=Ae^4k………… (2)
Divide equation (2) by equation (1)
600.25/49=(Ae^4k)/(Ae^2k )
12.25=e^2k
Take natural log of both sides
ln(12.25) =2k
2.505 =2k
k=1.25
The exponential equation that models this situation is y=Ae^(1.25t)
Answer:
18
Step-by-step explanation:
120 times .15 to get 18
It would be 8 to the 8th power
