Answer:
x = 12:15=×5
36
060
Step-by-step explanation:
12:15=0
x=0
Answer:
<h2>
The population will reach 1200 after about 2.8 years</h2>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?
According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.
Given;
![P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 = \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t} = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t} = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t} = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\](https://tex.z-dn.net/?f=P%28t%29%20%3D%20%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.42t%7D%20%7D%20%5C%5C%5C%5Cat%20%5C%20P%28t%29%3D%201200%3B%5C%5C%5C%5C1200%20%3D%20%20%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.42t%7D%20%7D%5C%5C%5C%5Ccross%5C%20multiplying%5C%5C%5C%5C1%2B1.15e%5E%7B-0.42t%7D%20%3D%20%5Cfrac%7B1620%7D%7B1200%7D%20%5C%5C%5C%5C1%2B1.15e%5E%7B-0.42t%7D%20%20%3D%201.35%5C%5C%5C%5C1.15e%5E%7B-0.42t%7D%20%3D%201.35-1%5C%5C%5C%5Ce%5E%7B-0.42t%7D%20%3D%20%5Cfrac%7B0.35%7D%7B1.15%7D%5C%5C%20%5C%5Ce%5E%7B-0.42t%7D%20%20%3D%200.3043%5C%5C%5C%5CTaking%20%5C%20ln%5C%20of%5C%20both%5C%20sides%5C%5C%5C%5Clne%5E%7B-0.42t%7D%20%20%3D%20ln0.3043%5C%5C%5C%5C-0.42t%20%3D%20-1.1897%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B-1.1897%7D%7B-0.42%7D%20%5C%5C%5C%5Ct%20%3D%202.8%20years%5C%5C%5C%5C)
The population will reach 1200 after about 2.8 years
3m + 8 = 15 is not a quadratic equation. quadratic equation must have the power of 2 in the quadratic term.
40
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<u>ANSWER</u>
The Multiplicative Property of Equality
<u>EXPLANATION</u>
The Multiplicative Property of Equality allows us to multiply both sides of the given equation by the same quantity.
So for the given equation,
![\frac{x}{5}=2](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D%3D2)
When we multiply both sides by 5, we get;
![5\times \frac{x}{5}=2\times 5](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cfrac%7Bx%7D%7B5%7D%3D2%5Ctimes%205)
![\Rightarrow x=10](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D10)