A botanist is cultivating a rare species of plant in a controlled environment and currently has 3000 of these plants. The population of this species that the botanist expects to grow next year, `N_("next year")`, can be estimated from the number of plants this year, `N_("this year")`, by the equation below.
`N_("next year")=N_("this year")+0.2(N_("this year"))(1-(N_("this year"))/(K))`
The constant K in this formula is the number of plants the environment is able to support.
According to the formula, what will be the number of plants two years from now if K = 4000 ? (Round your answer to the nearest whole number.)

Explanation

To solve the problem step by step, we will use the given formula to calculate the expected number of plants for the next two years.

### Step 1: Understand the formula
The formula to estimate the number of plants next year is:
\[ N_{\text{next year}} = N_{\text{this year}} + 0.2(N_{\text{this year}})(1 - \frac{N_{\text{this year}}}{K}) \]

Where:
- \( N_{\text{this year}} \) is the current number of plants.
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