A spherical balloon is inflating at a rate of 27 pi cubic inches per second. How fast is the radius of the balloon increasing when the volume is 112 cubic inches.

How sensitive is the npv to changes in the price : How sensitive is the NPV to changes in the price of the new CAS and how sensitive is the NPV to changes in the quantity sold of the new CAS? |

Determine the probabillity that a sweater has a flaw : Find the probabillity that a sweater has a flaw. Round to nearest tenth of a % Suppose the company produces 600 sweaters/day. How many WILL have flaws? |

State bayside insurance offers two plans : Bayside insurance offers two plans.under plan A G would have to pay the first $70 of her medical bills plus40% of the rest. under plan b G would pay the first $240 but only 35% of the rest |

What is the profitability index of the project : what is the profitability index of the project, what is the IRR of the project and what is the NPV of the project |

How fast is the radius of the balloon increasing : A spherical balloon is inflating at a rate of 27 pi cubic inches per second. How fast is the radius of the balloon increasing when the volume is 112 cubic inches. |

Find the dimensions of the package of maximum volume : A rectangular package with a square base to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume that can be sent. |

State how many thirdgrade students are in the band : there are 6 more fifth-grade students than third-grade students. There are an equal number of third and fourth-grade students. How many thirdgrade students are in the band? |

Find the volume of the solid generated by the region : Find the volume of the solid generated by the region in the second quadrant bounded above by the curve y=-x^3, below the by the x-axis, and on the left by the line x=-1 about the line x=-2 |

What is the ratio of the cardinal magnitude : A cardinal (Richmondena cardinalis) of mass 3.70 10 2 and a baseball of mass 0.150 have the same kinetic energy. What is the ratio of the cardinal's magnitude of momentum to the magnitude of the baseball's momentum? |

## Annual percentage rate-finance chargesA copier that originally cost $300 was sold on the installment plan as $28 per month for 12 months. Find the installment price if no down payment was made. Find the finance charge. |

## Find the number of pitchersFind the number of pitchers that she should produce and the price she should charge in order to maximize profit. Also find the maximum profit. |

## What proportion have diastolic blood pressuresDiastolic Blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. |

## Proof by contradictionAssume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer. |

## At what rate is the radius of the balloon increasingAir is being pumped into a spherical balloon at a rate of 20 cubic feet per second. At what rate is the radius of the balloon increasing at the instant when the radius equals 15 feet? |

## What percent of monthly charges are between $100 and $1100A major credit card company has determined that customers charge between $100 and $1100 per month. Given that the average monthly amount charged is uniformly distributed, what percent of monthly charges are between $100 and $1100? |

## Explain why applying a vertical produces the same resultexplain why applying a vertical and then a horizontal translation produces the same result as appying a horizontal translation and then a vertical translation. |

## Show how to approximate the required workA cable that weighs 6 lb/ft is used to lift 850 lb of coal up a mine shaft 300 ft deep. Find the work done. |

## State the number of bacteria n in a cultureThe number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250. |

## Explain how long will it take your money to triplehow long will it take your money to triple if you originally invested $10,000 at 5.6% compounded annually? |

## What is the value of the calculated test statisticIf we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased: What is the value of the calculated test statistic? |

## How many textbooks of each type were soldA textbook store sold a combined total of history and biology textbooks in a week. The number of biology textbooks sold was less than the number of history textbooks sold. How many textbooks of each type were sold? |

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