Solve the problem. The population of a certain species of fish introduced into a lake is described by the logistic equation G(t) = (10,000) / 1+19e^(-1.2t), where G(t) is the population after t years. Find the point at which the growth rate of this population begins to decline.

Find the rate of the area of the ripple : a rock is dropped into a pond and causes a ripple, find the rate of the area of the ripple when the radius is 4. |

Write a differential equation for the total quantity : Dead leaves accumulate on the ground in a forest at a rate of 4 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 80 percent per year. |

Use dimensional analysis to convert the quantity : use dimensional analysis to convert the quantity to the indicated units. If necessary, round the answr to two decimal places. 1) 70 in. to ft. |

Find the width of a norman windown : Find the width of a Norman Windown if the total area of the square and semicircle is said to be 200 ft^2. |

Find the population of a certain species of fish : Solve the problem. The population of a certain species of fish introduced into a lake is described by the logistic equation G(t) = (10,000) / 1+19e^(-1.2t), |

Determine the net present value and internal rate of return : An inventory of spare parts for the robotic equipment would be purchased immediately at a cost of $60,000. This investment in working capital would be maintained throughout the life of the equipment - Calculate the Net Present Value and Internal Rate.. |

State the bearing the pilot should take in order to fly : the bearing the pilot should take in order to fly directly to the airport. Round your answer to the nearest hundredth of a degree. |

Explain predicted impact of decline in consumer confidense : use the long-run model of a small open economy to illustrate graphically the impact of this decline in consumer confidence on the exchange rate and the trade balance.Assume the country starts from a position of trade balance. |

How many centimeters was the mean distance covered : how many centimeters was the mean distance covered by the car per interval as it moved for one second? Record your answer to two decimal places. |

## Find the equilibria of the system of the first two equationsverify that E is a constant of motion for the system of the first two equations and find the equilibria of the system of the first two equations |

## What would be the standard deviationA poll of 60 students found that 37% were in favor of raising tution to build a new math building. The standard deviation of this poll is 5%. What would be the standard deviation if the sample size were increased from 60 to 253? |

## How long ago was the artifact madeA wooden artifact contains 65% of the Carbon-14 that is present in living trees. How long ago was the artifact made?(the half-life of Carbon-14 is 5730 years.) |

## How many arrangements of the digitsUse the recurrence equation above and strong induction to prove that F(n) =1, where F(n) is the Fibonacci sequence. |

## Calculate the single equivalent discount rateWhat steps are used to calculate the single equivalent discount rate? Is this rate taken off the list price or the net price? Based on your experience and the ideas you learned in this week's lecture, explain why the calculation of a single equiva.. |

## Math graph questions setCorrectly match each of the following descriptions to a graph below by inserting the letter of the description that correctly describes the graph in the open box under the graph. The graph has both an Euler circuit and a Hamilton circuit. |

## Draw a coin ramdomly what is the probality thatSuppose you have 3 nickels, 2 dimes and 6 qtrs in your pocket. If you draw a coin ramdomly what is the probality that a. you will draw a dime ? b. you will draw a half dollar ? c. you will draw a qtr? |

## Determine the stable and unstable manifoldsDetermine the stable and unstable manifolds for the rest point of the system. |

## Find the stockholders loss per sharea stockholder sold 150 shares of stock at 34 1/4 per share find the stockholders loss per share The stock had been purchased at 36 5/8 per share. |

## What is the correct statement of the alternate hypothesisIf the decision is to reject the null hypothesis of no difference between two population parameters, z distribution at the .01 significant level, what is the correct statement of the alternate hypothesis and rejection region? |

## What is the cost of the metal for each signquare centimeters, what is the cost of the metal for each sign? 80 cm 75 cm 85cm |

## What is the probability that a randomly selected ballWhat is the probability that a randomly selected ball bearing has a diameter greater than 8.1 millimeters? |

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