In around 6.35 years, the population will be 1 million.
<h3> how many years will it take for the population to reach one million?</h3>
The population is modeled by the exponential equation:
![P(t) = 232,012*e^{0.23*t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20232%2C012%2Ae%5E%7B0.23%2At%7D)
Then we just need to solve the equation for t:
![P(t) = 232,012*e^{0.23*t} = 1,000,000](https://tex.z-dn.net/?f=P%28t%29%20%3D%20232%2C012%2Ae%5E%7B0.23%2At%7D%20%3D%201%2C000%2C000)
Let's solve that:
![232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\](https://tex.z-dn.net/?f=232%2C012%2Ae%5E%7B0.23%2At%7D%20%3D%201%2C000%2C000%5C%5C%5C%5Ce%5E%7B0.23%2At%7D%20%3D%201%2C000%2C000%2F232%2C012%20%3D%204.31%5C%5C)
If we apply the natural logarithm to both sides:
![ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35](https://tex.z-dn.net/?f=ln%28e%5E%7B0.23%2At%7D%29%20%3D%20ln%284.31%29%5C%5C%5C%5C0.23%2At%20%3D%20ln%284.31%29%5C%5C%5C%5Ct%20%3D%20ln%284.31%29%2F0.23%20%3D%206.35)
So in around 6.35 years, the population will be 1 million.
If you want to learn more about exponential equations:
brainly.com/question/11832081
#SPJ1
Which one is question 20??
Answer:
![=10\sqrt{2}](https://tex.z-dn.net/?f=%3D10%5Csqrt%7B2%7D)
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors.
Like this :
Answer:
(3x+4b)(a-2y)
Step-by-step explanation:
(3ax-6xy)+(8by-4ab)
3x(a-2y) -4b(-2y+a)
(3x+4b) (a-2y)
Answer:
11
Step-by-step explanation:
Each number in the sequence decreases by 4, so the next reasonable number would be 11 (15-4=11)