In 1980 the population of alligators in a particular region was estimated to be 1400. In 2007 the population had grown to an estimated 6000. Using the Malthusian law for population growth, estimate the alligator population in this region in the year 2020. C… The alligator population in this region in the year 2020 is estimated to be (Round to the nearest whole number as needed.)

In 1980 the population of alligators in a particular region was estimated to be 1400. In 2006 the population had grown to an estimated 5500 Using the Mathusan law for population growth, estimate the alligator population in this region in the year 2020. The alligator population in this region in the year 2020 is estimated to be (Round to the nearest whole number as needed.)

A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars)           kWhkWh 25 30 35 40 cost (dollars)cost (dollars)         (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form   f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…

3. Given 100 grams of bacteria that decreases at a rate of 2 per year. What would be an appropriate range after 4 years? Osxs5 Osys100 Osxs100 6.25sys100