A population y(t) of fishes in a lake behaves according to the logistic law with a rate of growth per minute a = 0.003 and a limiting growth rate per minute b = 0.001. Moreover, 0.002 are leaving the lake every minute. 1.1
Write the dierential equation which is satisfied by y(t). Solve it when the initial population is of one million fishes.

1.2
Compute

1.3
How much time will it take to for the population to be of only 1000 fishes? What do you think about this model?

Ageologist had two rocks on a scale that weighed 4.6 kilograms together.rock a was 0.5 of the total weight.how much did rock a weigh?

Complete the solution of the equation. find the value of y when x equals to 1 9x-5y=29

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)