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##### Please solve this question

The volume of a cylindrical can is ( 4πxˆ3+28πxˆ2+65πx+50π) cmˆ3. the can is (x+2)cm high. what is the radius?...

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##### Annual Cash Flow Analysis

The manager of a canned food processing plant is trying to decide between two labeling machines.Machine A Machine BInitial Cost $15,000 $25,000Yearly Maintenanceand Operating Costs $1,600 $400Annual Benefit $8,000 $13,000Salvage Value $3,000 $6,000Useful life, in years 7 10Assume an interest rate of...

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##### Standard Deviation

Based on the service records from Visa, it generally takes ten minutes to answer a customer’s question on his/her financial charges, with the standard deviation ofthree minutes. In other words, the time to answer customers’ questions on financial charges follows a normal distribution of ...

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##### Accounting

AP8-6APanda Manufacturing (PM) is a division of Worldwide Communications, Inc. PM produces pagers and other personal communication devices. These devices are sold to otherWorldwide divisions, as well as to other communication companies. PM was recently approached by the manager of the Personal Commu...

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##### Unit convert

A surveyor needs to determine the height of a tree. She places a mirror on the ground and paces backwards until she sees the top of the tree reflected in the mirror.She marks where she is standing and then measures the distance from this spot to the mirror which is 11 feet. She then measures the dis...

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##### Matrix method for area of triangle

This is for modern geometry I need to write the points ascolun vectors in a matrix and the area is half the absolute valueof determinant. can you help?USING THE FOLLOWING POINTS AS VERTICES OF A TRIANGLEFAND MATRIX METHOD, FIND THE AREAa) (0,0) (1,0) (0,1)b)(0,0) (2,0) (2,2)c) (-1,1) (0,-1) (8,0)d) ...

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##### Caluclus for the Life Sciences

The amount of recyclable glass collected annually in a new community is given by g(p) = (sqrt{3.1p^2 + 49}) tons, where p isthe population of the community in thousands. It is estimated that t years from now, the population will be p(t) = 1.8 + 0.2t^2 thousand people.a) How many tons of glass is exp...

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##### Linear Programming Problem (Need help developing model from word problem)

A winner of the lottery has decided to invest $50,000 per year in the stock market. He is considering stocks for a petrochemical company and a public utility.Although the long-range goal is to get the highest possible return, some consideration is given to the risk involved with the stocks. A risk i...

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##### Wronskian of two solutions of the given differential equation without solving the equation.

Find the Wronskian of two solutions of the given differential equation without solving the equation.(1-x2)y''-2xy'+a(a+1)y=0,Legendre's Equation...

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##### Recursive Definition for Sequence

Give a recursive definition of the sequence {an},n=1,2,3,... ifa) an = 4n - 2b) an = 1 + (-1)nd) an = n2...

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##### Kami

You are required to write a calculator for Geometric shapes(Circle, Square, and Rectangle). The basic idea is that you willprovide the information regarding ageometric shape and yourprogram will calculate the area, circumference and perimeter.e.g In case of circle, you will enter the radius of the c...

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##### Automata theory

show that there are infinitely many different recursive definitions for the set even?...

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##### Please HELP me with this problem.

1. Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her own independent gas station. Susan’sproblem is to decide how large her station should be. The annual returns will depend on both the size of the station and a numb...

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##### Use the following clues to identify the mystery number

I am a 5 digit numberMy tens digit is the sum of my hundreds digit and thousands digit.My tens digit is twice my one digit.My hundreds digit is 1 more than zero.My thousands digit is seven times my hundreds digit.My ten thousands digit is the same as my ones digit.What is the mystery number?...

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##### Real Analysis

let S be a nonempty set of real numbers that is bounded from above (below) and let x = sup S (inf S). prove that either x belongs to S or x is an accumulation point ofS...

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##### Finance

Sarah Yost took out a 48 month fixed installment loan of $17,000 to open a gift shop. She began making monthly payments of $431.16. Sarah's business does better thanexpected and instead of making her 36th payment, Sarah decides to repay her loan in full. How much interest will Sarah save? (Actua...

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##### What is the variance for the following population of scores? Scores:

What is the variance for the following population of scores?Scores: 5, 2, 5, 4a. 1.5b. 2c. 6d. 1.22...

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##### Diff. equ.

Find the indicial equation and indicial roots of the DE: 2x^2 y'' + 3xy' - (x2 + 1)y = 0...

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##### Discrete Mathematics-Ruccurence Relations

(1 pt) We will find the solution to the following lhcc recurrence: with initial conditions . The first step in any problem like this isto find the characteristic equation by trying a solution of the "geometric" format . (We assume also ). In this case we get:Since we are assuming we candivi...