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Volume of a box

An open box with a square base is to be built for $48. The sides of the box will cost $3 per square meter, and the base will cost $4 per square meter. Express the volume of the box as a function of the length of its base.

Fibonacci Sequence

Let F be the Fibonacci sequence n F = 1, F =1 0 1 F + F n-1 n-2 show 1) For all of n, F = (7/4) ^ n n 2) n+1 n+1 F = 1/√5 ((1+√5) - (1-√5) )

Linear programming investment problem

Below problem is one that I'm drawing a blank on for even setting up the equation. Any help would be greatly appreciated. Smith recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond fund and (2) a st

Solving Equations and Square Property

Can you please see if I'am doing these equations correctly? And if I am not, then can you please explain in detail where I went wrong? Please see the attached file for the fully formatted problems.

Cramer's rule

Can you please help me with these equations. What is Cramer's Rule? I believe that is the way they want solved.

Can't figure out what I did wrong.....

Here's the formula... The answer should be 4, which should be W S=10 T=5 w=4 w=33-(10 - 0.28 x S + square root of 28xS ) x ( 33 - T ) / 22.727 so.. the square root symbol was over top of 28 and S just don't know how to put that symbol in here... so.. you work from left to right... and you do what's in the ( )


Factorize the following equation (with steps please) - see attachment

Motion Problem

Application Problem 2M (MOTION PROBLEM) Janet drove 120 miles at x miles per hour (m/hr) before 6:00 A.M. After 6:00 A.M., she increased her speed by 5 miles (m) per hour and drove 195 additional miles. Write an expression for: The time spent driving before 6:00 A.M. The time spent driving after 6:00 A.M. The total dri

Locus of point in a plane

Find the locus of all points that their distance from (3,0) is 3/5 of their distance to the line x=25/3. What shape do these points form and what are the intersection points with the axis?

Estimating with e

Which of the following expressions would help estimate Please see attachment

Equation of a Line

1. Tom planted a bamboo on June 1st that was eight feet tall. In June it grew at the rate of five inches per day. Find the equation of the line that shows how tall the bamboo was each day in June. 2. Find the equation of the line that passes through the points (4,-2) and (2,4). 3. Find the equation of the line that passes thr

To 103997-O.T.A

Can you please help me with these two word problem-examples? (Rental Charge) 1) The charge C for renting an air hammer from Taylor Rentals is a linear function of the number n of days in the rental period. The charge is $113 for two days and $209 for for five -days. Write C as a linear function of n. What would the ch


A number is composed of x and y and its sum is 9 if the order of x and Y is inverted the result is equal to the given number plus 9 more units - find the number


Please show me how to convert 2 equations: ab + cd + ef = 0 bg + dh + fj = 0 into 3 equations: b / (cj - eh) = d / (eg - aj) = f / (ah - cg)

Cryptography : Diffie Helman Key Exchange

Alice and Bob want to do a Diffie-Helman Key Exhange. The public base is 5 and the public modulus is 11. Suppose Alice chooses a = 2 and Bob Chooses b=3. What common key did they calculate? What does the security of the Diffie Helman Key exhange depend upon?

Congruency : Solve for a and b

Solve for a and b 4a + b = 1 (mod 5) a + b = 2 (mod 5) check answers for a and b by substituting into the original equations