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At what rate must the string be let out when the length of the string already let out is 50 meters? (Ans: 2.4 m/sec) 8. An icicle is in the shape of a right circular cone. At a certain point in time the height is 15cm 1 and is increasing at the rate of 1cm/hr; the radius is 2cm and decreasing at the rate 10 cm/hr. Is 1 the volume (V = 3 r2 h) increasing or decreasing at this instant? At what rate?
Broom forgot to record a 30 dollar withdrawal at the ATM. The bank statement also collected a 400 dollar noe for broom. Prepare a bank reconciliation?
Betty is stacking boxes at a factory. Each box is 13 (3/4) inches high. The ceiling is 16 feet. How many boxes can she stack in one pile?
A Chemist needs 100 milliliters of a 76% solution but has only 55% and 85% solutions available. Find how many milliliters of each that should me mixed to get the desired soultion?
the first plan has an initial fee of $55 and costs an additional .40 per mile driven.the second plan has no initial fee but costs .90 per mile driven. How many miles would we need to drive for the two plans to cost the same?
What is Murray's filing status for 2010, and how many exemptions should he claim on his tax return?
Compare your approximation with the acutal value of the tangent of 1/4 radian as shown on a calculator.
Let A be a symmetric and positive definite (SPD) matrix. Is A^-1 ( inverse of matrix A) a SPD matrix? If so, prove it. If not, explain and give an example.
Formulate a linear programming model for this problem.
A tree on a hillside casts a shadow 206 ft down the hill. If the angle of inclination of the hillside is to the horizontal and the angle of elevation of the sun is , find the height of the tree. Please round your answers to the nearest whole.
Rise Against Corporation is comparing two different capital structures: an all-equity plan (Plan I) and a levered plan (Plan II). Under Plan I, the company would have 195,000 shares of stock outstanding.
Give the critical region, test statistic value, & conclusion for the F test.
Probability question. A doctor's office has 4 examination rooms. At any given time, each room can either be occupied or empty. How many configurations of occupied and empty examination rooms are possible?
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