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Future value |
2002-06-27 |
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From Susan:
If one were to invest $115 a month for 20 years and expect a 4% annual return, what is the value of this money in 20 years?
Answered by Leeanne Boehm. |
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What is the next term? |
2002-06-21 |
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From A student:
What is the next term in the sequence: 1, 5, 14, 30.....
Answered by Penny Nom. |
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Counting |
2002-06-21 |
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From Rachel:
How many different numbers of 2 different digits each can be formed using the digits (1,3,5,7,9)?
How many triangles are formed by the vertical of a regular hexagon?
Answered by Penny Nom. |
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Jack and Jill wrote letters |
2002-06-19 |
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From Angel:
jack and jill each bought a stationary
# of sheets of paper in each box were the same
# of envelopes were the same
jill wrote letters consisting of 3 pages
jack wrote letters consisting of 1 page
when they wrote all letters jill had 50 envelopes left and jack had 50 sheets of paper left how many pieces of paper and how many envelopes?
Answered by Leeanne Boehm. |
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Integrating x^x |
2002-06-18 |
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From Jeremy:
I am a student at the University of Kansas and I am wondering if there is a general anti-derivative for x x (i.e. the integral of x x dx)? I've looked in a bunch of Table of Integrals and have found nothing (can you guys find it?), so I'm sort of wondering if this may be a research type question.
Answered by Claude Tardif. |
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A good rule of thumb when driving |
2002-06-13 |
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From Lisa:
A good rule of thumb when driving is that you should be about one car length away from the car in front of you for every 10 miles per hour that you are travelling. Suppose you follow this rule perfectly (so you are exactly the correct distance away). You are waiting at a stop light with your front bumper just touching the car in front of you. The light turns green and the car in front accelerates at a constant rate "r". Calculate how you should accelerate in order to follow the rule.
Answered by Penny Nom. |
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Un hectolitre |
2002-06-12 |
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From Un eleve:
Pouvez-vous me dire combien d'hectolitres y a t-il dans un mètre cube (m3)?
Answered by Diane Hanson. |
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The cross country team |
2002-06-12 |
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From Denae:
In cross country, a team's score is the sum of the first five finishers on the team. The captain of the team finished 2nd in the meet. The next four finishers on the team placed in consecutive order. The team score was 40. in what places did the other members finish?
Answered by Penny Nom. |
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An equilateral triangle |
2002-06-11 |
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From Sarah:
Hi. My name is Sarah. I'm a secondary student taking a Math 30C course by correspondence. The question has two parts.
The first part is: Draw an equilateral triangle XYZ. Draw the altitude from X to YZ. Choose any point P inside the triangle or on the triangle. Draw perpendiculars from P to the sides of the triangle. The Second part is:
Measure the altitude h and the 3 perpendiculars s, t, and u to the nearest mm. Repeat as many time as is necessary until you can state a generalization concerning h, s, t, and u. If you could help me, it would be greatly appreciated.
Answered by Penny Nom. |
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Drawing cards |
2002-06-11 |
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From Ed:
What is the probability of drawing without replacement from a standard deck of 52 cards the following 5 card hand ...... the ace of spades, 2 tens and 2 face cards Solution 1: 1/52 x 4/51 x 3/50 x 12/49 x 11/48 Solution 2: Using Combination theory ..... (1C1 x 4C2 x 12C2) divided by (52C5) Can you help us understand which answer is correct and why the other is not?
Answered by Penny Nom. |
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Successive coefficients in the nth row of Pascal's Triangle |
2002-06-10 |
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From Tim:
There is a formula connecting any (k+1) successive coefficients in the nth row of Pascal's Triangle with a coefficient in the (n+k)th row. find this formula.
Answered by Penny Nom. |
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0.63 of an acre |
2002-06-08 |
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From Sherry:
how many square feet are in 0.63 of an acre
Answered by Penny Nom. |
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Regular polyhedra |
2002-06-07 |
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From Sandra:
The other day a colleague and I were talking about polyhedra. Is regular a term applied to polyhedra or just polygons? If so, then what would define a regular polyhedron? Would it mean all faces are regular or would it mean that all faces are identical and regular? That is, could a pyramid with equilateral triangles for lateral faces and a square base be considered regular or must the base also be an equilateral triangle?
Answered by Chris Fisher. |
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The mean distance travelled |
2002-06-07 |
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From A student:
If Rosalia travels 1000 km
Sheree travels 280 km
Daniel travels 50 km
Mica travels 200 km
Connor travels 500 km
Eric travels 250 km
Hillary travels 300 km What was the mean distance travelled? How do you arrive at the answer?
Answered by Penny Nom. |
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Constructing the square root of 3 |
2002-06-07 |
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From Allan:
I am a Math 7/8 teacher. I was wondering how you would show a student how to find the exact location of the square root of three on the number line using just a compass and a straight edge.
Answered by Penny Nom. |
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