.
.
Math Central - mathcentral.uregina.ca
Quandaries & Queries
Q & Q
. .
Fresh off the press   Here are the newest items
added to Quandaries & Queries:
. .
start over

 
Page
304/886
Interest rate over two periods 2009-04-12
From Kenneth:
Hello:

How is the average determined for the following amount if it earns compound interest?

Here are my calculations, but I'm not certain that they are correct: Initial amount invested $500.00:

$500.00 @ 5% = $525.00.

$525.00 @ -2% = $514.50.

$14.50/$500.00 = 2.9% divided by 2 equals an average of 1.45%.

If this average, 1.45%, is correct, how can I use 5% and -2% to determine the same average? Is it possible?

I thank you for your reply.

Answered by Penny Nom.
Four-digit numbers 2009-04-11
From jp:
How many four-digit numbers are there?
Answered by Penny Nom.
Expected value 2009-04-11
From jp:
you pay $.50 and pick a four-digit number. The state chooses a four-digit number at random and pays you $2500.00 if your number i chosen. What are the expected winnings from a $.50 Pick 4 wager?
Answered by Stephen La Rocque and Harley Weston.
$65.09 is 70% greater than the average price 2009-04-11
From Kelly:
Hello! I know you might be thinking that I didn't look through your previous answers, but I really did. Here's my dilemma- I have a percent increase equation that is missing the 'old" value. I know that $65.09 is 70% greater than the average price, but I do not know the average price. How do I go about finding that? I tried to set up an equation, but its throwing me off because the unknown variable is in there twice, and it's been a long time since I've taken math
Thank you for your help...greatly!

Answered by Penny Nom.
A man travels a total of 8km in 6 hours 2009-04-10
From Kieran:
Hello!

I was wondering if you could help me with this question! Thank you

A man travels a total of 8km in 6 hours

if his speed was xkm/4hours in the first stage
then his speed was 8-x/2hours in the second part.

If the average speed for the first leg of the journey was 1.1km/h faster than the second part: find x

Answered by Penny Nom.
2sinB=3tanA 2009-04-10
From Xanathax:
ABC is a right-angled triangle. 2sinB=3tanA. Calculate the measure of angle A.
Answered by Penny Nom.
Winding paper after a break 2009-04-10
From Olen:
Question from Olen:

I work in a paper mill and have been handed the task to search for a formula to determine how much paper needs to be added to a parent roll to make up the difference at the winder. (Ex. The spool diameter at the reel is 18.25" we measure roughly 33.5" to make two 58" rolls in the winder. If the is a paper break and the roll diameter in the winder is 30" how much do I add to a single parent roll (22" roughly) to make one 58 " and the 28" needed at the winder. I would appreciate any help to complete this task. I would like to be able to build a chart that operators can refer to based on what is needed. Thank you.

Answered by Harley Weston.
The axiom of choice and constructibe sets 2009-04-10
From sydney:
The axiom of choice asserts the existence of certain sets, but does not construct the set. What does "construct" mean here? For example, does it require showing the existence and uniqueness of some function yielding the set? In general, what does it mean to require the existence of a mathematical object be tied to a construction of it?
Answered by Claude Tardif.
Le réservoir 2009-04-09
From Myrianne:
Le réservoir d'essence d'une petite voiture peut contenir 50 litres. En sachant que 1 dm3 équivaut à litre, donne les dimensions de deux prismes différents représentant ce réservoir.
Answered by Claude Tardif.
How many times is 9 in pi? 2009-04-09
From Serena:
How many times is 9 in pi?
Answered by Robert Dawson.
How many rectangles are in a square prism? 2009-04-09
From Lorenya:
How many rectangles are in a square prism?
Answered by Robert Dawson.
Positive real infinity and Aleph-null 2009-04-09
From Justin:
Hello, I was just wondering why does the positive real infinity correspond to Aleph-null? Thanks a lot for answering my question!

Justin

Answered by Ami and Robert Dawson.
Parallel and perpendicular lines 2009-04-08
From Blake:
I need to know what the formula for working a problem. I need to know how to find if i line is parallel or perpendicular by only looking at the equation. i know you must know the slope but how do i find slope?
Answered by Stephen La Rocque.
Game of 24 2009-04-08
From Joe:
How do you get 24 using 6,9,10,10 once. Its called the 24 game.
Joe

Answered by Harley Weston.
A ladder against a wall 2009-04-08
From Jessica:
The angle of elevation of a 15 ft. ladder is 70 degrees, find out how far the base of the ladder if from the wall.
Answered by Penny Nom.
 
Page
304/886

 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.

CMS
.

 

Home Resource Room Home Resource Room Quandaries and Queries Mathematics with a Human Face About Math Central Problem of the Month Math Beyond School Outreach Activities Teacher's Bulletin Board Canadian Mathematical Society University of Regina PIMS