Answer:
10 - 3n = 31
n = -7
Step-by-step explanation:
10 - 3n = 31
-3n = 31 - 10
-3n = 21
n = 21/-3
Answer: The population will be 536,250 people
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Since you need 10 loads you know that for 4 loads you use 32 gallons. And to go from 4 to 10 you divide 10 and 4 to get an answer of 2.5. So all you have to do is multiple 32 gallons by 2.5 to then get an answer of 80.
The given equations are

(1)

(2)
When t=0, obtain

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means

.
Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means

.
Because

, obtain

Answer:
The slope of the curve at t=0 is 1/6.