A biologist noticed that a small forest has a population of deer that naturally grows according to the logistic model y=0.0005y(300y)y=0.0005y(300y) where yy is the number of deer at time tt measured in months. The carrying capacity of this forest is ________?____

In January 2021, a disease began killing the deer at a rate of 10 deer per month. If there were 110 deer in the forest when the biologist first noticed the disease (at time t=0t=0), then the number of deer will ( INCREASE OR DECREASE??) and reach _________?________ in the long run.

After many months, the biologist finds that the disease is not affecting the deer as much and fewer deer are dying from it each month. The deer population has rebounded and is now at a stable size of 270. Based on this, the biologist is able to estimate that, rounding to the nearest deer, only _______?________ deer are being killed by the disease each month.

Please answer all question marks there should be 4 answers