The rodent population in a city is currently estimated at 70,000 and is growing according to the Malthusian model. If it is expected to double every 3 years, when will the population reach one million? (Round your answer to one decimal place.)
The tile back splash will be a mixture of colors of four inch square tiles. One eighth of the tiles will be "indian red" one fourth will be "tuscan blue" two fifths will be "eucal" and the rest will be the color "sand."
How do i do this when there was not a give fraction to equal this out???? Someone please help me.
How do i look at the answered questions that people are responding to me?
To solve this problem, we can use the Malthusian model formula: P(t) = P(0) * e^(rt), where P(t) is the population at time t, P(0) is the initial population, r is the growth rate, and e is the base of the natural logarithm.
Given that the current population is 70,000, we can set P(0) = 70,000. We are also given that the population is expected to double every 3 years, so the growth rate, r, can be determined using the following equation: 2 = e^(3r).
To solve for r, we need to take the natural logarithm of both sides of the equation: ln(2) = 3r.
Then, we can solve for r: r = ln(2)/3 ≈ 0.231.
Now, we want to find the time, t, when the population reaches one million. We substitute P(t) = 1,000,000, P(0) = 70,000, r = 0.231, and solve for t:
1,000,000 = 70,000 * e^(0.231t).
Dividing both sides by 70,000, we get:
14.286 = e^(0.231t).
Taking the natural logarithm of both sides, we have:
ln(14.286) = 0.231t.
Now, solve for t:
t = ln(14.286)/0.231 ≈ 10.661.
Rounding to one decimal place, the population will reach one million in approximately 10.7 years.