Depreciation has bcen charged on straight line basis and cstimated life of both machincs is five years. You are required to find out: 1) Average rate of return on machines 'A' and 'B'.

The Krill which are tiny shrimplike creatures are the principal food source for the huge blue whale. The intrinsic growth rate and the carrying capacity of the blue whale are estimated at 5% per year and 150,000 respectively. The maximum sustainable population for krill is 600 tons/acre. In the absence of predators, in uncrowded conditions, the krill population grows at a rate of 20% per year. The pres-ence of 600 tons/acre of krill increases blue whale population growth rate by 2.5% per year, and the presence of 150,000 blue whales decreases krill growth rate by 8% per year.   (a) Determine all the steady states of the system and analyze theri stability. Can the blue whales and the krill coexist?   (b) Verify your conclusion of stability by plotting the solution and the vector fields for selected values of initial populations.   (c) Describe what happens to the two populations over time. Assume that we start o with 10,000 blue whales and 500 tons/acre of krill.   (d) How sensitive are…

3. There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. What is the growth rate for the bacteria?

A constant continuous income stream of C dollars will be invested into an account for ten years at a continuous annual interest rate of 7%. The goal is to have $100,000 to help pay for college at the end of the ten years. Find the value of C that will produce a balance of $100,000 at the end of the ten years. Enter your value for C accurate to two digits to the right of the decimal point.