A white-tailed deer population is growing naturally by 26% a year. By hunting and culling, 780,000 deer per year are removed from the population. (a) Make up a model for the deer population. (b) Will the deer population increase or decrease if initially the population is 2,000,000? What if it is 4,000,000? Is there a steady-state for the deer population?

This exercise uses the population growth model. It is observed that a certain bacteria culture has a relative growth rate of 11% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 24. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 11%.bacteria (b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.bacteria

Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 42,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had fallen off, and they wound up tagging a total of 63,000 frogs. (a) Find an exponential model for the frog population. f(t) =        (b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.)  tags

A golfer practices different parts of their game for hours. Specifically, the golfer practices:(1) putting, (2) their short game, and (3) their iron game. The amount of time spent on each partof their game is exponentially distributed. If the golfer is practicing their putting, they will alwaysswitch to their short game after an average of 30 minutes. When the golfer practices their short game,they do so for an average of 45 minutes, and then switches to putting with probability 0.6 or to theiriron game with probability 0.4. When they practice their iron game, they do so for an average of 60minutes. After practicing their iron game, the golfer will switch to putting or to their short game withequal probability.(a) Draw the CTMC rate diagram, clearly label your states and transition rates (qij ’s)(b) Find the transition rates out of the states (vi’s) and transition probabilities (Pij ’s).(c) Find the limiting probabilities (make sure to write out the balance equations).(d) In the long…

Return to Test Question 16, Step 1 of 1 loved Solution 2 caldian Dana 1 of 1 1 Hawkes Learning | Portal Correct Answer: $56,954.45 Tutor-Solution Page 1 of 1 | Hawkes Learning | Portal The balance owed on your credit card triples from $800 to $2400 in 9 months. If the balance is grow linearly then it would take 34.9 months to reach $7000. If, on the other hand, the balance is growing 800(1+0.13)* where x represents the number of months, what would the b be after 34.9 months? Round your answer to the nearest cent. exponentially, f(x) 31550 f(x) = In order to solve this problem, we assume the balance is growing according to the exponential functi 800(1 + 0.13)*, where the variable x represents the total number of months. Here we are interested in knowing what the balance would be after 34.9 months, so substitute 34.9 for x. 315496 f(x) = 800(1.13)* f(34.9) = 800(1.13) 34.2 ≈ 56,954.45 So the balance after 34.9 months would be $56,954.45. Notice that your answer is greater than $70 Over a…

A wheat farmer is converting to corn because he believes that corn is a more lucrative crop. It is not feasible for him to convert all his acreage to corn at once. He is farming 500 acres of corn in the current year and is increasing that number by 30 acres per year. As he becomes more experienced in growing corn, his output increases. He currently harvests 150 bushels of corn per acre, but the yield is increasing by 4 bushels per acre per year. When both the increasing acreage and the increasing yield are considered, how rapidly is the total number of bushels of corn currently increasing? ____________ bushels per year