







Monthly Pension 
20180528 

Kenneth pose la question :
Hello:
I have a question regarding how the units cancel in the following:
A company uses the following calculation to determine the monthly payment for its employees as they retire:
1.1% * average 5 years highest salary * years of service
If an employee worked 33 years and his average 5 year salary is $30,705.17, what is his monthly payment?
I used the following to determine his monthly payment, but I am not sure how the units cancel especially the years.
1.1% * $30,705.17 * 33 years divided by 12 months/year
I determined his payment as $928.83 per month, but the year units do not cancel unless the 1.1% is per year.
Is the correct calculation 1.1%/year * $30,705.17 * 33 years divided by 12 months/year so that the units cancel properly?
The $\$30,705.17$ is an average for 5 years of working. It is not $30,705.17 per year.
I thank you for your assistance. Penny Nom lui répond. 





A suspension bridge 
20160818 

sai pose la question : The main cable of a suspension bridge has the shape of a parabola. The cables are strung from the top of two towers, 61 metres apart, each 15.25 metres high above the roadway. The cable is 1.5 metres above the roadway at the point that is directly between the towers.
h(x)=a(x30.5)^2+1.5
where a is the constant and its value to be determined.
a) determine the value of the constant a by using that the fact that height of the suspension cable, h(x) is 15.25 metres at each tower. Hence, write the updated model equation. Penny Nom lui répond. 





A parabolic suspension bridge 
20140311 

jeffrey pose la question : the towers of a parabolic suspension bridges 200 meter long are 40 meter high and the lowest point of the cable is 10 meter above the roadway.Find the vertical distance from the roadway to the cable at 50 meter from the center. Penny Nom lui répond. 





John's electronic store 
20120725 

Jora pose la question : Electronic Store
John opened an electronic store in December. During his first month,
He sold 10 LCD TVs and 20 Plasma TVs. His income during that
month was $12800. In January, he sold 25 LCD TVs and 40 Plasma
TVs for an income of $27600.
In February he projects to sell 30 LCD TVs and 50 Plasma TVs.
If John expenses are $28900 in February, how much money will he
have after paying the expenses? Penny Nom lui répond. 





A suspension bridge 
20111130 

jennifer pose la question : suspension bridges like the golden gate bridge, are used to span large distances.
when the main curved cables are attached to the deck by vertical cables they will end
up in the shape of parabola. assume that we need to build a bridge that spans
2,400 feet. the two towers 165feet tall each where placed at 400feet from either
side. the lowest point of the center of the bridge at 10feet. vertical suspension cables
where placed at 25foot interval. how many feet of cable are needed to connect
the deck to the main cables between the two towers? show all working. Penny Nom lui répond. 





The suspension cables of a bridge 
20100729 

Mike pose la question : what is the formula for the suspension cables of a bridge.
The towers are 200 ft above the roadway
The towers are 3400 ft apart
The cable if at 8ft in the middle of the span Robert Dawson lui répond. 





The capilano suspension bridge 
20100603 

nida pose la question : the capilano suspension bridge in north vancouver is the world's highest footbridge of its kind. the bridge is 140m long . from the ends of the bridge the angles of depression of a point on the river under the bridge are 41 degrees and 48 degrees. how high is the bridge above the river to the nearest metre Penny Nom lui répond. 





Two adjacent rectangular dog pens 
20100301 

Janet pose la question : Clint is constructing two adjacent
rectangular dog pens. Each pen will be three times as long
as it is wide, and the pens will share a common long side.
If Clint has 65 ft of fencing, what are the dimensions of
each pen? Penny Nom lui répond. 





Two adjacent pig pens 
20091204 

alysia pose la question : A pig farmer wants to build two adjacent pens using 96 feet of fencing. He wants rectangular pens that share the short side and the overall length is to be six more than twice the width. What should be the dimensions of the overall pen? Penny Nom lui répond. 





Buying pens and staplers 
20090722 

Ellen pose la question : one more math question,
six pens and four staplers cost $7.10. four pens and seven staplers cost $9.50
find the cost of one pen and one stapler. Penny Nom lui répond. 





15 pigs in 4 pens 
20090422 

Melissa pose la question : A farmer has 15 pigs. He wants to put them all into 4 pens, have an
odd number of pigs in each pen, and have no pigs left over. Also, he
isn't thinking about having any for dinner, as they are his pets.
How does he do it? Robert Dawson lui répond. 





A kennel with 3 individual pens 
20090106 

Jean pose la question : An animal clinic wants to construct a kennel with 3 individual pens, each with a gate 4 feet wide and an area of 90 square feet. The fencing does not include the gates.
Write a function to express the fencing as a function of x.
Find the dimensions for each pen, to the nearest tenth of a foot that would produce the required area of 90 square feet but would use the least fencing. What is the minimum fencing to the nearest tenth? Harley Weston lui répond. 





What is so important about quadratics? 
20081129 

zoe pose la question : what is so important about quadratics? Harley Weston lui répond. 





Purchasing pens and pencils 
20081107 

Maggie pose la question : A mechanical pencil costs 50 cents and a pen costs 25 cents. If I spend 5.00 on 17 pens and pencils, how many of each does that buy? Penny Nom lui répond. 





How many houses must they paint? 
20071212 

Natalie pose la question : The question is: Four boys work together,painting houses for the summer.For each house they paint they get 256 pounds.
If they work for four months of the summer and their expenses are 152
pounds per a month, how many houses must they paint for each of them
to have one thousand pounds at the end of the summer? Penny Nom lui répond. 





Parabolic suspension bridge 
20071009 

Jessica pose la question : A suspesion bridge with weight uniformly distributed along its length has twin towers
that extend 75 meters abouve the road surfce and are 400 meters apart.The cables are
parabolic in shape and are suspended from the tops of the towers. The cables touch the road
surface at the center of the bridge. Find the height of the cables at a point
100 meters from the center. (Assume that the road is level.) Stephen La Rocque lui répond. 





A truncated cone 
20070310 

Russell pose la question : Hello, I have attempted to use two of your answers already given and had no real success. This young lady is making a cat food dispenser using a truncated cone. The top of the cone as a diameter of 5 inches with a height of 6 1/2 inches and diameter of 3 inches for the bottom.
Could you please map out a solution for the both of us to understand? Thank you so much for your time and for this wonderful service.
Russell Penny Nom lui répond. 





21 pigs and only 4 pig pens 
20070111 

Emma pose la question : i was given this pig pen problem. if there are 21 pigs and only 4 pig pens how can you distribute the pigs into the pens and have an odd number of pigs in each pen. it doesn't seem possible to me. i need help! Haley Ess lui répond. 





Profit for a dance studio 
20030428 

Craig pose la question : A dance studio charges $80 per student for a series of 2 hour lessons. The studio's costs are $30 per hour for the instructor, $15 per lesson for the room rental, and $3 per student for miscellaneous expenses. If x is the number of students enrolled in the class, express the studio's profit P(x) in terms of x. Find the profit if 10 students are enrolled in the class. Penny Nom lui répond. 





Pigs in pens 
20020710 

Shannon pose la question : A farmer has 21 pigs and 4 pens, he must put an odd number of pigs in each pen, how does he do it? Penny Nom and Chris Fisher lui répond. 





Marginal Propensity to Consume 
20010509 

Esther pose la question : The derivative of the national consumption function C = f(y) is called the ____________________. Judi McDonald lui répond. 





A suspension bridge 
20010324 

Janna pose la question : The cables of a suspension bridge hang in a curve which approximates a parabola. The road bed passed through the vertex. If the supporting towers are 720m apart and 60m high, find: a) an equation of the parabola (it's y = ^{1}/_{2160}x^{2}) b)the height of the cables at a point 30m from the vertex. I substituted 30 in for the x value and got 0.42 and the answer is 42. What did I do wrong? Denis Hanson and Claude Tardif lui répond. 





Bridges and parabolas 
20001118 

Lauren pose la question : My name is Lauren, and Im a secondary school student in Ontario. For my gr11 advanced math class I have to find out how and why parabolics are used in arch bridges and write 3 paragraphs on it. People who cohse satelites and whatnot are lucky  I've found a ton of info, but for arch bridges there seems to be nothing. Harley Weston lui répond. 

