Explore BrainMass

Explore BrainMass

    Algebra

    BrainMass Solutions Available for Instant Download

    Solve the following equations

    The square root of x^3=8 i know the answer but confused on how to show how i go it. please show steps to the following answer x-1=3 = >x=4 3 square root of x^2=4 anwer is: =>x=2

    Solving Equations Solutions

    (See attached file for full problem description) Solve a) Answer: Show work in this space. b) . Answer: Show work in this space. c) . Answer: Show work in this space.

    Question About Evaluate Functions

    I need to evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = 3x + 2 f(x) = x^2 + 5x + 6 f(x) = x^3 + 3x^2 + 2x + 1 f(x) = e^x f(x) = log x

    Graph, degree of polynomial

    1. Graph 3x+2y=6. Where do the points cross and how is the pair figured out? 2. Give the degree of 4x. 3. Solve the linear inequality by graphing. 3x + 4y <= 12 x + 3y <= 6 x >= 0, y >= 0 4. The demand and supply equations for a certain item are given by D = -5p + 40 S = -p^2 + 30p - 8 Find the eq

    Time Value

    1)You would like to take a cruise in six years. The cruise currently costs $4,250. You expect the price to increase by 4% annually. You can earn 5% on your savings. How much do you need to save at the end of each month so you will be able to afford your cruise in six years? 2)You invest $250 in your savings account at the en

    Time Value of Money

    How would I go about answering this problem? A work template is attached. Donna and Sherman Terrel are preparing a budget for 2003. Donna is a systems analyst with an airplane manufacturer, and Sherman is working on a master's degree in educational psychology. The Terrels do not have any children or other dependents. Donna e

    Geometric and Arithmetic Sequences

    1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any 2 terms? b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? d) Using

    Geometric Sequence : Ratio of Terms and Geometric Sums of First n Terms

    Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? c) Using the formula for the sum of the first n terms of a geometric ser

    Common ratio of geometric series

    Use the geometric sequence of numbers 1, 3, 9, 27, ... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the nth term of a geometric sequence, what is the 10th term? c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?

    Sequences and Series : Difference between Terms and Sums of First n Terms

    Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any 2 terms? b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? d) Using

    Sequences and Series

    Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in the answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of the basic functions (linear, quadratic, ration

    Area of a Cartioid

    Find the area inside the big loop and outside the small loop for r = ½ + cos &#952; Limits are alpha & beta & must be calculated. Please see the attached file for the fully formatted problems.

    Proof: Sequence of Partial Sums

    Suppose a_k is a nonincreasing sequence satisfying a_k --> 0 as k--> infinity. Also suppose the sequence of partial sums by s_n = l summation k = 1 to n of b_kl is bounded. Show that these conditions imply summation k = 1 to n of a_k*b_k is convergent.

    Cauchy Sequences

    Consider the real number iteration scheme x_n+1 = f(x_n) for n = 1, 2, ... with x_1 given. In addition, suppose there is a number 0 < p < 1 st lf(x) - f(y)l < = plx-yl for all x,y. a) Show lx_n+1 - x_nl < = p^n-1lx_2 - x_1l for all n. b) From this, conclude {x_n}_n is Cauchy.

    Proof: Sequences and Supremum

    Suppose that the sequences {a_n}_n is bounded above and lim(b_n) exists. a) Prove that for all e>0 there is an N st that for all n>=N sup{a_k:k>=n} + b_n <=sup{a_k + b_k: k>=n} + e. b) Use this to conclude limsup(a_n) + lim (b_n) <= limsup (a_n+b_n) (all limits are n ---> infinit

    Proofs : Bounded Sequences

    Suppose the sequences {a_n}_n and {b_n}_n are both bounded above. a) Prove that for all n in the naturals sup{a_k + b_k: k>/=n} is less than or equals sup{a_k:k>/=n} + sup{b_k:k>/=n} b) Use this to conclude: limsup (a_n + b_n) is less than or equals limsup(a_n) + limsup(b_n) (all limits are n--> infinity)

    For the equation x - 2(sqrt of x) = 0 perform the following:

    For the equation x - 2(sqrt of x) = 0 perform the following: Solve for all values of x that satifies the equation Graph the functions y = x and y = 2(sqrt of x) on the same graph. Show the intersection of these two graphs. Please show your work to help me with the more difficult equations on my assignment. Thanks

    Initial and Future Value

    You have decided to purchase some shares of stock for $1000. After five years, the value of your purchase has grown to $2000. a. Write a formula for the relationship between the future value of an investment and the initial investment amount. Use variables instead of actual quantities in your formula. Note what each variable

    Average Annual Return on Investment Formula

    The average annual return for an investment is given by the formula r= (s/p)^1/n -1 where p is the initial investment and s is the amount it is worth after n years. The top mutual fund for 1997 in the 3-year category was Fidelity Select-Energy Services, in which and investment of $10,000 grew to $31,895.06 from 1994 to 1997

    Problem Set

    11. Assume the total number of dollars (in billions) on entertainment in the United States from 1990 to 2000 can be approximated by the model S = 148 + 6.7t + 0.58t2. where t = 0 represents the year 1990. During which year was $215 billion the amount spent on entertainment? (5 points) 12. Solve 3x2 - 10x = 8 by factoring

    Square root equations solved

    3. Solve each equation and check for extraneous solutions; show all work. a. √(4a2 - 27) = a b. √(x2 - 6x) = 4

    Find the constant term in the expansion (1/(2x^3) + x)^20.

    Find the constant term in the expansion of (1/(2x^3) + x)^20. [The constant term is the summand which does not involve any power of x. For example the constant term in 3x^2&#8722; 4x + 23 +9x^10 + 5/(3x^6) is 23.] [Note on notation: 2^3 means '2 to the power of 3', so 2^3 = 8] [The pdf file contains the question in pr

    Transaction between Achmet and Ali

    13. Achmed and Ali were camel - drivers but one day they decided to quit their job. they wanted to become shepherds. They went to the market and sold all their camels. The amount of money (dinars) they received for each camel was the same as the total amount of camels they owned. With that money they bought as many sheep as