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Recent problems solved by 'stanbon'
stanbon answered: 57314 problems
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2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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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 , 57300..57329, >>NextMoney_Word_Problems/99607: You invest $30,000 in an account for your retirement. the interest you receive is 8% compounded monthly.
A. How much will be in the account after 30 years?
B. If your interest was compounded continously at the same rate, how much would you have after 30 years?
PLease help!
1 solutions
Answer 72467 by stanbon(57387)   on 2007-09-21 16:39:30 (Show Source):
You can put this solution on YOUR website!You invest $30,000 in an account for your retirement. the interest you receive is 8% compounded monthly.
A. How much will be in the account after 30 years?
A(30) = 30000(1+0.08/12)^(12*30)
A(30) = 30000(1.00666666...)^360
A(30) = 30000(10.93572966...)
A(30) = $328,071.89
-----------------
B. If your interest was compounded continously at the same rate, how much would you have after 30 years?
A(30)=30000e^(0.08*30)
A(30)=30000(11.02317638...)
A(30)=$330,695.29
--------------------
Cheers,
Stan H.
|
Expressions-with-variables/99603: I need help!!
A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package contains 15 dozen roses and 17 dozen carnations for $327.00.
Let x = cost of one dozen roses
Let y = cost of one dozen carnations
a. Write a system of equations for this problem.
b. Which equation can be multiplied by a coefficient to create an opposite coefficient? What is that value?
c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations.
1 solutions
Answer 72462 by stanbon(57387) on 2007-09-21 16:16:02 (Show Source):
You can put this solution on YOUR website!A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package contains 15 dozen roses and 17 dozen carnations for $327.00.
Let x = cost of one dozen roses
Let y = cost of one dozen carnations
a. Write a system of equations for this problem.
1st; 20x+34y= 504
2nd: 15x+17y=327
b. Which equation can be multiplied by a coefficient to create an opposite coefficient? 2nd is the best choice
What is that value? -2
c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations.
1st: 20x+34y=504
3rd: -30x-34y=-654
--------
Add 1st and 3rd to get:
-10x = -150
x = 15 (# of dozens of roses)
-------------
Substitute into 20x+34y=504 ot solve for y:
20*15+34y = 504
300 + 34y = 504
34y = 204
y = 6 (# of dozens of carnations)
===============
Cheers,
Stan H.
|
Graphs/99512: I have a graf that the domaint is 0,1,2,3 and therange is 0,.5,2,4.5 what is the funtion if (1.5,y) is part of the graf
1 solutions
Answer 72440 by stanbon(57387) on 2007-09-21 13:52:29 (Show Source):
You can put this solution on YOUR website!I have a graf that the domaint is 0,1,2,3 and therange is 0,.5,2,4.5 what is the funtion if (1.5,y) is part of the graf
-----------------
Plot the three points: (0,0,5),(1,2),(2,2),(3,4.5)
It looks like a parabola:
y=ax^2+bx+c
Substitute to find a, b, and c,
If x=0 ; 0.5=0+0+c; so c=1/2
The y = ax^2+bx+1/2
If x=1; 2 = a+b+1/2; so a+b = (3/2)
If x=2; 9/2 = 4a+2b+(1/2):
1st: a+b = (3/2)
2nd: 2a+b = 2
----------
Subtract 1st from 2nd to get:
a= 1/2
----------------
Substitute into a+b=(3/2) to get
b = 1
-------------
EQUATION:
y = (1/2)x^2 + x + (1/2)
So, if x=1.5, y = (1/2)(9/4)+(3/2)+(1/2) = 9/8 + 2 = 25/8 = 3 1/8
===================
Cheers,
Stan H.
|
test/99554: Determine whether the square root of 77 is rational or irrational. Answer: A) Irrational B) Rational
I say irrational since there is no square.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine if (a square root symbol with a - inside it) is rational or irrational. Answer: A) Irrational B) Rational
I say: A) Irrational There is a negative symbol, also there is no number.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Find the altitude of the triangle.
the sides (height) are each 13 and the base (bottom) is 10.
Answer: ????
This one I can not find a formula in my books for solving this.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Evaluate (the square root symbol with 9 over 16 inside it) if possible.
I say not possible since it is not a whole number with a solution.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Evaluate (small 3 next to the square root symbol with 1 over 64 inside it) if possible.
I say not possible since it is not a whole number with a solution.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Am I on the right track? This is a large assignment and due tonight. These are the only ones I am doubting myself on and need your help. Thanks! ;-)
1 solutions
Answer 72435 by stanbon(57387) on 2007-09-21 13:20:13 (Show Source):
You can put this solution on YOUR website!Determine whether the square root of 77 is rational or irrational. Answer: A) Irrational B) Rational
I say irrational since there is no square.
Correct: It is irrational because 77 is not a perfect square.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine if (a square root symbol with a - inside it) is rational or irrational. Answer: A) Irrational B) Rational
I say: A) Irrational There is a negative symbol, also there is no number.
It is neither rational nor irrational; it is a complex or imaginary number.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Find the altitude of the triangle.
the sides (height) are each 13 and the base (bottom) is 10.
Answer: ????
This one I can not find a formula in my books for solving this.
Draw an altitude from the vertex to the base (side 10)
You get two right triangles:
altitude^2 + 5^2 = 13^2
altitude = sqrt(13^2-5^2) = sqrt144 = 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Evaluate (the square root symbol with 9 over 16 inside it) if possible.
I say not possible since it is not a whole number with a solution.
sqrt(9/16) = [sqrt(9)]/[sqrt(16)] = 3/4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Evaluate (small 3 next to the square root symbol with 1 over 64 inside it) if possible.
I say not possible since it is not a whole number with a solution.
cube root of (1/64) = [cube root of 1]/[cube root of 64] = 1/4
==================================
Cheers,
Stan H.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Word_Problems_With_Coins/99551: Find the mean and the median.
–2, 7/4 ,3/4 , 4, 9
Find the mean and the median.
–2, 7/4 ,3/4 , 4, 9
1 solutions
Answer 72412 by stanbon(57387) on 2007-09-21 09:44:41 (Show Source):
You can put this solution on YOUR website!John has $9.95 made up of nickles and dimes. The number of nickels is one more than 2 1/2 times the number of dimes. How many of each does he have?
---------------
Let number of dimes be "x" ; value of these is 10x cents
Number of nickels is (5/2)x+1 ; value of these is 5[(5/2)x+1]= (25/2)x+5 cents
-------------------
EQUATION:
value + value = 995 cents
10x + (25/2)x + 5 = 995
22.5x = 990
x = 44 ( number of dimes)
(5/2)x+1 = 111 ( number of nickels)
==============
Cheers,
Stan H.
|
Mixture_Word_Problems/99518: By volume, one alloy is 70% copper, 20% zinc, and 10% nickel.
A second alloy is 60% copper, and 40% nickel. A third alloy is
30% copper, 30% nickel, and 40% zinc. How much of each alloy
must be mixed in order to produce 1000mm3 of a final alloy that is
50% copper, 18% zinc, and 32% nickel?
1 solutions
Answer 72411 by stanbon(57387) on 2007-09-21 09:36:37 (Show Source):
You can put this solution on YOUR website!Set up three equations.
Let the three alloys by a, b, c
1st equation: Copper---: 0.7a+.6b+.3c = 0.50(1000)=500 mg
2nd equation: Zinc-----: 0.2a+ 0b+.4c = 0.18(1000)=180 mg
3rd equation: Nickel---:..............= 0.32(1000)=320 mg
---------------
This is three equations in three unknows.
I used the Matrix method on a TI calculator and found
a = 140 mg of the 1st alloy
b = 480 mg of the 2nd alloy
c = 380 mg of the 3rd alloy
==============
cheers,
Stan H.
|
Linear_Algebra/99537: Find the mean and the median.
–2, 7/4 ,3/4 , 4, 9
1 solutions
Answer 72403 by stanbon(57387) on 2007-09-21 08:11:38 (Show Source):
You can put this solution on YOUR website!Find the mean and the median.
–2, 7/4 ,3/4 , 4, 9
---------------------------
Mean: add the numbers and divide by 5.
11 10/4 = 13 1/2 = 27/2
(27/2)/5 = 27/10 = 2.7 is the mean
-----------------
Median:
Put the numbers in ascending order
and choose the middle number which
is 7/4
===================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/99547: Tutor,
I am so lost on this problem and I am not sure what I am doing wrong could you explain to me how to solve this problem?
Simplify:
3/x-5+1 / 1- 4/x-5
I am so confused so any help is appreciated. Thank you for your help.
1 solutions
Answer 72402 by stanbon(57387) on 2007-09-21 08:05:20 (Show Source):
You can put this solution on YOUR website!3/x-5+1 / 1- 4/x-5
With no parentheses it is hard to tell
where your numerators and denominators
begin and where they end.
Cheers,
Stan H.
|
Quadratic_Equations/99511: Write your result in scientific notation. (2x10^5)(4x10^4) This is what I have done so far: (2x2^5*5^5)(4x2^4*5^5). I know the answer is suppose to be 8x10^9, I can not figure out how to show the rest.
Thank you
1 solutions
Answer 72376 by stanbon(57387) on 2007-09-20 22:32:03 (Show Source):
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Equations/99514: How would I solve this equation? I just really need the steps. Please give a walk through process.
4x + 7 = 25 - 5x
and
t + 9 = 3t - 5
1 solutions
Answer 72374 by stanbon(57387) on 2007-09-20 22:00:37 (Show Source):
You can put this solution on YOUR website!4x + 7 = 25 - 5x
Add 5x to both sides to get:
9x + 7 = 25
Subtract 7 from both sides to get:
9x = 18
Divide both sides by 9 to get:
x = 2
-----------------------------------------
and
t + 9 = 3t - 5
Subtract t from both sides to get:
9 = 2t -5
Add 5 to both sides
2t = 14
Divide both sides by 2 to get:
t = 7
=================
Cheers,
Stan H.
|
Rate-of-work-word-problems/99510: 2 pumps-
1 fills a tank in 5 hours
1 fills a tank in 7 hours--
how many hours to fill the tank with both pumps filling it at the same time?
how did you come up with the answer?
thanks...
1 solutions
Answer 72372 by stanbon(57387) on 2007-09-20 21:52:02 (Show Source):
You can put this solution on YOUR website!2 pumps-
1 fills a tank in 5 hours
1 fills a tank in 7 hours--
how many hours to fill the tank with both pumps filling it at the same time?
--------------
1st tank DATA;
Time + 5 hr/job ; Rate = 1/5 job/hr
------------------
2nd tank DATA:
time = 7 hr/job ; Rate = 1/7 job/hr
--------------------------------
Together DATA:
time = x hr/job ; Rate = 1/x job/hr
-----------------------
EQUATION:
rate + rate = together rate
1/5 + 1/7 = 1/x
Multiply thru by 35x to get:
7x + 5x = 35
12x = 35
x = 35/12 = 3 11/12 hr = 3 hr 55 minutes (time to do the job together)
==========================
Cheers,
Stan H.
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Angles/99507: Help please! :-)
measure of angle 1 is (3y+4) degrees, measure of angle 2 is (6x+20) degrees, and measure of angle 3 is (3x+y+3) degrees. Solve for x and y, then find the real measure of angle 2. Hint: angles 1 and 3 are vertical angles.
1 solutions
Answer 72371 by stanbon(57387) on 2007-09-20 21:42:12 (Show Source):
You can put this solution on YOUR website!measure of angle 1 is (3y+4) degrees, measure of angle 2 is (6x+20) degrees, and measure of angle 3 is (3x+y+3) degrees. Solve for x and y, then find the real measure of angle 2. Hint: angles 1 and 3 are vertical angles.
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If angle 1 and 3 are vertical angles,
3y+4 = 3x+y+3
3x-2y=1
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Comment: Without information on another angle or a second
equation in x and y the problem cannot be answered.
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Cheers,
Stan H.
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Travel_Word_Problems/99497: Help! PLEASE! I can't seem to figure these out!
1. One number is 6 more than another number. The sum of the sumbers is one more than 3 times their difference. What are the numbers?
2. In a small rowboat, it took Alice 6 hours to go 6 miles upstream, but she was able to return to her starting point in only 45 minutes. Assuming her rowing speed was constant, what was the speed of the current?
1 solutions
Answer 72366 by stanbon(57387) on 2007-09-20 21:15:52 (Show Source):
You can put this solution on YOUR website!1. One number is 6 more than another number. The sum of the sumbers is one more than 3 times their difference. What are the numbers?
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Let one of the numbers be "x"; the other number is "x+6"
EQUATION:
x + x+6 = 3(x+6-x) + 1
2x+6 = 18+1
x = 13/2
x = 6.5 (one of the numbers)
x+6 = 12.5 (the other number)
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2. In a small rowboat, it took Alice 6 hours to go 6 miles upstream, but she was able to return to her starting point in only 45 minutes. Assuming her rowing speed was constant, what was the speed of the current?
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Upstream DATA:
distance=6 miles ; time = 6 hrs; rate = d/t= 1 mph
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Downstream DATA:
distance = 6 miles ; time = (3/4) hr ; rate = d/t = 6/(3/4) = 8 mph
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Let speed in quiet water be "b"; let speed of stream be "s"
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EQUATIONS:
b+s = 8 mph
b-s = 1 mph
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Add to get:
2b = 9mph
b = 4.5 mph (speed of boat in quiet water)
Substitue to solve for "s":
4.5+s = 8
s = 3.5 mph (speed of the stream)
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Cheers,
Stan H.
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Mixture_Word_Problems/99479: A nursery wants to mix two types of seeds, one type sells for 12 dollars per pound and the other sells at 20 per pound. To obtain 100 pounds of a mixture at 14 dollars per pound, how many pounds of each seeds are needed?
1 solutions
Answer 72364 by stanbon(57387) on 2007-09-20 21:01:10 (Show Source):
You can put this solution on YOUR website!A nursery wants to mix two types of seeds, one type sells for 12 dollars per pound and the other sells at 20 per pound. To obtain 100 pounds of a mixture at 14 dollars per pound, how many pounds of each seeds are needed?
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Let amont of $12 seed be x lbs; value is 12x dollars
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Amount of $20 seed is "100-x" ; value is 20(100-x) = (2000-20x) dollars
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Amt of mixture = 100 lbs; value = 14*100 = 1400 dollars
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EQUATION:
value + value = value
12x + 2000-20x = 1400
-8x = -600
x = 75 lbs (amount of $12 see in the mixture)
100-x = 25 lbs (amount of $20 see in the mixture)
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Cheers,
Stan H.
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Expressions-with-variables/99447: In this expression I know that the first step is to find the common denominator. And that's where I stopped. Yeah. The expression has complex fractions and involves variables. It is  . Where do I start? I believe that I multiply 6(x-2) by 6x however there's already a 6 in both denominators so do I just ignore this and multiply by (x-2)? I'm very confused. Can you help me?
1 solutions
Answer 72342 by stanbon(57387) on 2007-09-20 17:50:58 (Show Source):
You can put this solution on YOUR website!7/6(x-2)-(x-3)/6x
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Least common denominator is 6x(x-2)
Rewrite each fraction with the lcd as its denominator:
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7*x/lcd - (x-3)*(x-2)/lcd
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Combine the numerators over the lcd to get:
[7x-(x^2-5x+6)]/lcd
Simplify the numerator:
[-x^2+12x-6]/lcd
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Final Answer:
[-x^2+12x-6]/[6x(x-2)]
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Money_Word_Problems/99389: Here is a money problem that I need help with.
Suppose that the cost C, in dollars, of producing x items is given by C = 3 How many items can be produced for $ 13,000?
Thank you very much for your help.
1 solutions
Answer 72339 by stanbon(57387) on 2007-09-20 17:40:50 (Show Source):
You can put this solution on YOUR website!Suppose that the cost C, in dollars, of producing x items is given by C = 3 How many items can be produced for $ 13,000?
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Each item costs C/x or 3/x dollars.
Then # of items that can be produced for $13000 = $13000/($3/x) = [4333 (1/3)]x items.
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Cheers,
Stan H.
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Exponents/99444: This problem also includes complex fractions. I simply forget one rule about adding exponents. The equation is  . So far I have found the common denominator which is 20x^3. My problem is adding the exponents in the numerator and then simplifying the solution. Would you please help me?
1 solutions
Answer 72338 by stanbon(57387) on 2007-09-20 17:32:17 (Show Source):
You can put this solution on YOUR website!6/4x^2 + 2/5x
The least common denominator is 20x^2
Rewrite each fraction with the lcd as its denominator:
6*5/lck + 2*4x/lcd
Combine the numerators over the lcd:
[30+8x]/lcd
Factor:
[2(15+4x)]/lcd
Final answer:
(15+4x)/10x^2
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Cheers,
Stan H.
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Rational-functions/99391: This question is from textbook
Solve the matrix (I-A)X=D for the given matrices A,D,and X.
[0.1 0.1]=A
[0.2 0.1]
[7 ]=D
[14]
[x]=X
[y]
Please enter each number as a decimal
Round each answer to two decimals
x=
y=
please help!
1 solutions
Answer 72336 by stanbon(57387) on 2007-09-20 17:27:52 (Show Source):
You can put this solution on YOUR website!Suppose B is a proper subset of C.
if n(c)=8, what is the maximum number of elements in B?----seven
What is the least possible number of elements in B?--------zero
Cheers,
Stan H.
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Matrices-and-determiminant/99425: Solve the matrix (I-A)X=D for the given matrices A,D,and X.
[0.1 0.1]=A
[0.2 0.1]
[7 ]=D
[14]
[x]=X
[y]
Please enter each number as a decimal
Round each answer to two decimals
x=
y=
1 solutions
Answer 72335 by stanbon(57387) on 2007-09-20 17:25:30 (Show Source):
You can put this solution on YOUR website!Solve the matrix (I-A)X=D for the given matrices A,D,and X.
[0.1 0.1]=A
[0.2 0.1]
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[7 ]=D
[14]
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[x]=X
[y]
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Please enter each number as a decimal
Round each answer to two decimals
x= 0.1*7+0.1*14 = 2.4
y= 0.2*7+0.1*14 = 2.8
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Cheers,
Stan H.
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