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Recent problems solved by 'stanbon'
stanbon answered: 57274 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299, >>NextEquations/175840: A company has an income of $100,000 before paying taxes and a bonus. The bonus B is to be 20% of the income after deducting income taxes T but before deduction the bonus. So
B=0.20(100,000-T)
Because the bonus is a deductible expense, the amount of income tax T at a 40% rate is 40% of the income after deducting the bonus. So
T=0.40(100,000-B)
*Solve the system algebraically to find the bonus and the amount of tax.
1 solutions
Answer 130985 by stanbon(57347)   on 2009-01-10 08:35:56 (Show Source):
You can put this solution on YOUR website!T=0.40(100,000-B)
*Solve the system algebraically to find the bonus and the amount of tax.
T=0.40(100,000-B)
*Solve the system algebraically to find the bonus and the amount of tax.
--------------
Tax = 40,000 - 0.4B
Bonus = (40,000-Tax)/0.40
============================
Cheers,
Stan H.
|
Inequalities/175502: the average price of a particular brand of shampoo is $3.26. Depending on where you shop, the price may vary by as much as $0.25. Write an absolute value inequality describing the possible prices of the shampoo. Solve the inequality.
1 solutions
Answer 130981 by stanbon(57347) on 2009-01-10 08:25:39 (Show Source):
You can put this solution on YOUR website!the average price of a particular brand of shampoo is $3.26. Depending on where you shop, the price may vary by as much as $0.25. Write an absolute value inequality describing the possible prices of the shampoo. Solve the inequality.
--------
|price - 3.26| <= 0.25
==========================
-0.25 +3.26 < price < 3.26 + 0.25
3.01 < price < 3.51
========================
Cheers,
Stan H.
|
Probability-and-statistics/175855: A TV special said there is a 10 per cent incidence of sexually transmitted disease (STD) among all U.S. teens. A reporter for the Rockville Bugle, looking for a story, surveyed 260 randomly chosen teenagers, and found that 39 had been to a clinic for STD treatment. Use a right-tail test at α = .05.
The test statistic is
The critical value is
The p-value is
1 solutions
Answer 130978 by stanbon(57347) on 2009-01-10 08:00:03 (Show Source):
You can put this solution on YOUR website!A TV special said there is a 10 per cent incidence of sexually transmitted disease (STD) among all U.S. teens. A reporter for the Rockville Bugle, looking for a story, surveyed 260 randomly chosen teenagers, and found that 39 had been to a clinic for STD treatment. Use a right-tail test at α = .05.
The test statistic is
z(39/206) = ((39/206)-(0.10))/sqrt[0.1*0.9/260]= 4.2733
--------------------------------
The critical value is 1.645
--------------------------------
The p-value is
P(z>4.2733) = 0.000009637....
======================================
Cheers,
Stan H.
|
Numbers_Word_Problems/175859: This question is from textbook fundamentals of contemporary financial management
I need to understand this problem. I can not seem to isolate the "i" which is interest. I have worked and re-worked to no avail. The formula I used for solving this problem is DCL= 3.0= Sales - Variable Cost/EBIT-1
Where Sales = 10,000,000
Variable Cost = 5,000,000
EBIT = 2,000,000
DCL = 3.0
Solving for i
Thank you for your help
Cindy
1 solutions
Answer 130976 by stanbon(57347) on 2009-01-10 07:35:19 (Show Source):
|
Proofs/175867: given two functions f(x) and g(x) show that the sum of their derivatives equals the derivative of their sum. ie d/dx f(x)+d/dx g(x)=d/dx (f(X)+g(x))
1 solutions
Answer 130974 by stanbon(57347) on 2009-01-10 07:32:04 (Show Source):
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Exponents-negative-and-fractional/175869: How do you simplify expression.All varibles represent positive and real numbers.
-(8a^3b^6)-2/3
1 solutions
Answer 130973 by stanbon(57347) on 2009-01-10 07:30:08 (Show Source):
You can put this solution on YOUR website!-(8a^3b^6)^(-2/3)
---------
The exponent is -2/3
The negative means "invert"
the 2 means "square"
the 3 means "take the cube root"
You may perform the instructions in any order to get:
--------------------------
1st: take the cube root to get:
(2ab^2)^-2
---
2nd: square to get:
(4a^2b^4)^-1
------
#rd: invert to get:
1/(4a^2b^4)
====================
Cheers,
Stan H.
|
percentage/175820: The teacher gives a test. The results are as follows: 10 A's, 42 B's, 15 C's, 8 D's and 2 F's. What percentage of the class received B's?
Stuck on this problem? Thank you.
1 solutions
Answer 130930 by stanbon(57347) on 2009-01-09 15:20:33 (Show Source):
You can put this solution on YOUR website!The teacher gives a test. The results are as follows: 10 A's, 42 B's, 15 C's, 8 D's and 2 F's. What percentage of the class received B's?
---------
x/100 = 42/87
x = 100(42/87)
x = 48.27
Ans 48.27%
Cheers,
Stan H.
|
expressions/175819: Use multiplying by 1 to find an expression equivalent to 5/17 with a denominator of 119x
1 solutions
Answer 130929 by stanbon(57347) on 2009-01-09 15:17:46 (Show Source):
You can put this solution on YOUR website!Use multiplying by 1 to find an expression equivalent to 5/17 with a denominator of 119x
------------------------
(5/17)(7x/7x) = 35x/119x
============================
Cheers,
Stan H.
|
Average/175814: A mountian with a base 5,914 feet below sea level rises 19,287 feet. What is the elevation above sea level of its peak? What is the elevation of mountain's Peak?
1 solutions
Answer 130921 by stanbon(57347) on 2009-01-09 14:16:39 (Show Source):
You can put this solution on YOUR website!A mountian with a base 5,914 feet below sea level rises 19,287 feet. What is the elevation above sea level of its peak? What is the elevation of mountain's Peak?
--------------
Draw the picture.
Height of the mountain above sea level = 19,287-5914 = 13,373 ft.
Same answer for both questions.
---------------------------------
Cheers,
Stan H.
|
Probability-and-statistics/175812: I'm stumped on 2 word problems dealing with probability. Can someone please help me????
Here they are:
1. Suppose a contest offers $1,000 to the person who can guess the winning four digit number. How many possibilities are there?
2. There are 10 women and 8 men in a club. How many different committees of 6 people can be selected from the group if equal numbers of men and women are to be on the committee?
TIA for your help!
Andrew
1 solutions
Answer 130919 by stanbon(57347) on 2009-01-09 14:13:35 (Show Source):
You can put this solution on YOUR website!1. Suppose a contest offers $1,000 to the person who can guess the winning four digit number. How many possibilities are there?
----------
# of four-digit numbers: 1000-9999= 8999+1 = 9000
-------------------------------------------------------
2. There are 10 women and 8 men in a club. How many different committees of 6 people can be selected from the group if equal numbers of men and women are to be on the committee?
----
6 on the committe requires 3 men and 3 women.
# of groups of 3 women: 10C3 = [10*9*8]/[1*2*3] = 120
# of groups of 3 men : 8C3 = 8*7*6/1*2*3 = 56
------------------
# of possible committees: 120*56 = 6720
============================================
Cheers,
Stan H.
|
Inequalities/175708: The attendence at home basketball games has ranged between 820 and 1540 spectators. Write an absolute value inequality descibing the possible attendance at home basketball games.
1 solutions
Answer 130909 by stanbon(57347) on 2009-01-09 12:13:48 (Show Source):
You can put this solution on YOUR website!The attendence at home basketball games has ranged between 820 and 1540 spectators. Write an absolute value inequality descibing the possible attendance at home basketball games.
------------
Find the average attendance figure: (820+1540)/2 = 1180
------------
Find the difference between average and max (or min). 1540-1180 = 360
----------------------------
Equation:
|x-1180| <= 360
x is the possible attendance at home basketball games.
======================
Cheers,
Stan H.
|
Rational-functions/175772: Well I am pretty sure this is the topic we are doing. The one i selected above.
Well anyways, this is the problem I have just been stuck on for EVER. it has 3 part, A, B, and C. and you cant get B or C if you dont get A. and ive been stuck on A. but even if i get past A, Im stil not quite sure if i know what to do with B and C.
Let p(x)=x(x-3)^2(x+1)
A) Sketch this graph of p(x). Label all intercepts. <-- I'm not even sure i know how to graph this at all. could you walk me through it?
b)Find another polynomial funtcion, q(x), that has the same zeroes as p(x) and goes throught the point (-1,16). <--- once i get the first graph I'm not sure How i would MAKE it go through (-1,16), How would i go upon doing that?
c) Explain how to determine the end behavior of a polynomial function. <--- what does it mean by determine if we already solved it above?
1 solutions
Answer 130856 by stanbon(57347) on 2009-01-08 23:18:29 (Show Source):
You can put this solution on YOUR website!Let p(x)=x(x-3)^2(x+1)
A) Sketch this graph of p(x). Label all intercepts. <--
x-intercepts: x = 0, x= 3 with multiplicity 2, x= -1
y-intercept: P(0) = 0(0-3)^2(0+1) = 0
--------------------------------------------------------
b)Find another polynomial funtcion, q(x), that has the same zeroes as p(x) and goes throught the point (-1,16). <--- once i get the first graph I'm not sure How i would MAKE it go through (-1,16), How would i go upon doing that?
Consider q(x) = x(x-3)^2(x+1)+16
This has the same zeroes as p(x)
and q(-1) = 16
------------------------------------------------------
c) Explain how to determine the end behavior of a polynomial function. <--- what does it mean by determine if we already solved it above?
"end behavior" refers to the y-values as x gets increasingly large
Since the highest power term determines that y value look
at x(x-3)^2(x+1) = x^4+....
As x gets larger x^4 gets larger so y gets larger and the
end behavior is "y gets increasingly larger".
================================================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/175771: point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of line AB?
1 solutions
Answer 130855 by stanbon(57347) on 2009-01-08 22:51:23 (Show Source):
You can put this solution on YOUR website!point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of line AB?
----------------
Draw the picture.
The line x = 2 passes thru the point (2,1)
(2,1) is the midpoint of AB
A is 6 units to the left of (2,1), so B must
be 6 units to the right of (2,1)
--------------------
B is (8,1)
=================
Cheers,
Stan H.
|
Complex_Numbers/175769: If  is a solution for  , where m and n are real numbers, what is the value of m?
1 solutions
Answer 130854 by stanbon(57347) on 2009-01-08 22:40:53 (Show Source):
You can put this solution on YOUR website!If is a solution for , where m and n are real numbers, what is the value of m?
---------------
If 3+2i is a solution then 3-2i is a solution.
Then (x-3+2i)(x-3+2i) is the form of the quadratic
Then (x-3)^2-(2i)^2 is the form of the quadratic.
Then x^2 -6x + 9 + 4 is the form of the quadratic
Then x^2 -6x + 13 = x^2 + mx + n
m=-6
n = 13
========================
Cheers,
Stan H.
|
Probability-and-statistics/175765: 1. Find the number of permutations in the word GEOMETRY.
2. In how many ways can 12 books be displayed on a shelf if 12 books are available.
1 solutions
Answer 130853 by stanbon(57347) on 2009-01-08 22:31:59 (Show Source):
You can put this solution on YOUR website!1. Find the number of permutations in the word GEOMETRY.
8!/2! = 20160 arrangements
-------------------------------------
2. In how many ways can 12 books be displayed on a shelf if 12 books are available.
12! = 479,001,600 ways
=============================
Cheers,
Stan H.
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Proportions/175753: if 4% of a number is z, then what is 50% of the number?
1 solutions
Answer 130838 by stanbon(57347) on 2009-01-08 21:18:09 (Show Source):
You can put this solution on YOUR website!if 4% of a number is z, then what is 50% of the number?
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Let the number be "x"
0.04x = z
x = 100z/4 = 25z
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Then 0.50x = 0.50*25z = 12.5z
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Cheers,
Stan H.
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Rational-functions/175739: For a certain time period the ratio of the dollar value of exports to the dollar value of imports for the United States was 2 to 3. If the value of exports during that time period was 48 billion dollars, then what was the value of imports?
1 solutions
Answer 130829 by stanbon(57347) on 2009-01-08 20:32:01 (Show Source):
You can put this solution on YOUR website!For a certain time period the ratio of the dollar value of exports to the dollar value of imports for the United States was 2 to 3. If the value of exports during that time period was 48 billion dollars, then what was the value of imports?
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2 to 3 is the same as 2x to 3x where 2x is exports and 3x is imports.
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Equation:
2x + 3x = 48 B
5x = 48 B
x = 9.6 B
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imports = 3x = 3*9.6 = 28.8 Billion
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Cheers,
Stan H.
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Polynomials-and-rational-expressions/175736: Find the real-number solutions of the equation.
x^3+2x^2-25x-50=0
1 solutions
Answer 130826 by stanbon(57347) on 2009-01-08 20:26:09 (Show Source):
You can put this solution on YOUR website!Find the real-number solutions of the equation.
x^3+2x^2-25x-50=0
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I graphed it to find x=-5 is a root.
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Using synthetic division find the other roots:
-5)....1....2....-25...-50
........1....-3....-10..|..0
-2).....1-----5....|..0
5)......1....|0
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x = -5 or -2 or 5
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Cheers,
Stan H.
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Probability-and-statistics/175705: The records of a casualty insurance company show that, in the past, its clients have had a mean of auto accidents per day with a variance of 1.8 . The actuaries of the company claim that the variance of 0.0016 the number of accidents per day is no longer equal to 0.0016 . Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis Ho and the alternative hypothesis Hi that we would use for this test.
1 solutions
Answer 130822 by stanbon(57347) on 2009-01-08 20:09:55 (Show Source):
You can put this solution on YOUR website!The records of a casualty insurance company show that, in the past, its clients have had a mean of auto accidents per day with a variance of 1.8 . The actuaries of the company claim that the variance of 0.0016 the number of accidents per day is no longer equal to 0.0016 . Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis Ho and the alternative hypothesis Hi that we would use for this test.
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Ho: sigma^2 = 1.8
Ha: sigma^2 is not equal to 1.8
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Cheers,
Stan H.
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Linear-equations/175725: My question says you had 132 dolars after 6 weeks and 240 dolarsv after 12 weeks. you saved the same amount each week. do you think that you can generilize this problem situation by using a linear equation? use complete sentences and explain yor reasoning.
1 solutions
Answer 130817 by stanbon(57347) on 2009-01-08 19:53:36 (Show Source):
You can put this solution on YOUR website!you had 132 dolars after 6 weeks and 240 dollars after 12 weeks. you saved the same amount each week. do you think that you can generilize this problem situation by using a linear equation? use complete sentences and explain yor reasoning.
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You have two points: (6,132) and (12,240)
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linear if you assume the money increases a fixed amount each month.
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Cheers,
Stan H.
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