Answer:
1) P(0) = 5000
2) P(t --> ∞) = 25000
Step-by-step explanation:
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
1) Population at the moment corresponds to population at t = 0
P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)
2) Population in the long term corresponds to the population as t --> ∞
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
Divide through the numerator and denominator by t²
P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))
P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)
P(t --> ∞) = 25 thousand = 25000
The answer is....................................................
To answer the given : <span>5 to the 3 over 4 power, to the 2 over 3 power, we multiply the powers 3/4 and 2/3 equal to 2/4 or 1/2. This is the simplified power of the equation. Hence, the equation is simplified to 5 to the power of 1 over 2. or square root of 5. Answer is C.</span>
Answer:
x=3
Step-by-step explanation:
4x+6=2x+12
4x+6=2x+12
4x-2x=12-6 (your letters should be on one side, numbers on the other)
2x=6
x/2=6/2
x=3
Answer:
3
Step-by-step explanation:
Using the rule of exponents
÷ 
= 
, then
÷ 
= 
= 12³
