Question

Популяция бурундуков в зоопарке увеличивается на 20% каждый год. Через сколько лет популяция утроится? 1. ln(120) 2. log(1,2)3 3.log(3)120 4. 15 5. Среди ответов нет правильного

Answer 1

Ответ фоткан.......................

Answer 2

Calculating Population Growth

To calculate the number of years it takes for the population of chipmunks to triple with a 20% annual growth rate, we can use the formula for exponential growth:

N = N0 * (1 + r)^t

Where: - N = the final population size - N0 = the initial population size - r = the growth rate - t = the time in years

In this case, the initial population size is 100% (or 1 in decimal form), the growth rate is 20% (or 0.20 in decimal form), and we want to find out how many years it takes for the population to triple, so the final population size will be 300% (or 3 in decimal form).

So, the equation becomes:

3 = 1 * (1 + 0.20)^t

To solve for t, we can use logarithms. The natural logarithm (ln) is typically used for these types of exponential equations.

Calculating the Time for Population to Triple

The equation to solve for t using natural logarithm becomes:

ln(3) = t * ln(1.20)

Now, we can calculate the value of t using the natural logarithm of 3 and the natural logarithm of 1.20.

Answer:

The correct expression to calculate the time it takes for the population to triple is ln(3).