Melody

921 Questions
34315 Answers

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Mathigon website

I just discovered a site called mathigon

https://mathigon.org/dashboard
lee mas ..

Melody 2 abr 2022

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Reporting problems.

There are a number of people having problems at the moment.
If you lodge an error can you please give all relevant information that you can think of.
Where you are in the world - the city or the country - is often very important information. lee mas ..

Melody 16 mar 2022

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How to make an empty rectangle in Latex

I just worked out how to make an empty box of various horizonal size easily in LaTex.
This is not a recommended method, but other methods that I have tried here have not worked.
This coding is really simple. Just put letters inside lee mas ..

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Melody 15 mar 2022

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HAPPY ANNIVERSARY CHRIS! (CPhill)

I just realized that you became a member here exactly 8 years ago today!

It has been great to have you here all that time

Fuera tema

Melody 13 mar 2022

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WELCOME BACK CPHILL !

Melody 11 feb 2022

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Very interesting question. No high level maths required.

This question was posted a couple of days ago.
https://web2.0calc.com/questions/geometry_73561

I think it is really interesting. It looks much more difficult than it really needs to be. lee mas ..

Melody 1 feb 2022

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Members have a better experience. Their questions get more attention.

Almost everyone is posting as a guest.
If you post as a member your questions will have a far greater chance of a timely and helpful response.
If you are a genuine learner and interact with us, you will become known and answerers will do lee mas ..

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Melody 9 ene 2022

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HAPPY BIRTHDAY CHRIS!

Melody 20 dic 2021

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Some guidelines for question askers.

Please note:
1) Ask only one question per post.
2) When asking a question talk about what you have tried for yourself. Then people will take you more seriously and will be more able and willing to help.
3) If you get an answer lee mas ..

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Melody 4 nov 2021

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Remeniscing - a little historical humour.

I just found this old post that some of you, who have been around for a while, might find amusing.

https://web2.0calc.com/questions/look-at-the-new-leader-board

Fuera tema

Melody 29 oct 2021

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I am sorry Usha,

I didn't mean to post over the top of you.
We must have both been writing our answers at the same time.
I didn't know that you had answered already.

Melody.

Melody28 dic 2013

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jaclyn:
a minor league baseball team plays 74 games in a season. If the team won 17 more than twice as many games as they lost, how many wins and losses did the team have?

Hi Jaclyn,
You have to set up 2 separate equations and solve them simultaneously.
Let L be the number of losses and W be the number of wins.

Just think for a bit.
they won 17 more than twice as many as they lost.
They lost L, what is twice that much? what is 17 more than twice that much?
do you see where I am going here?

They played 74 games altogether, what can you do with that?

See if you can do the rest by yourself. Let me know how you go!

Melody28 dic 2013

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Guest:
Nick Turner is considering the purchase of a bond that was issued 4 years ago and has 18 years left till maturity. The bond has a coupon rate of 9.75 percent and a face value of $1,000. If the yield to maturity is 6.00%, calculate to the nearest penny the value of the bond today

I have to make a lot of assumptions before I can answer this question.
1) I have to assume that the redemption value is the same as the face value.
2) Usually coupons are paid 6 monthly and the coupon rate would be per 6 months but your rate is probably too high for this assumption, so I will assume that it is 9.75% p.a. paid yearly.
3) Yield = 6% (I will also assume that this is per annum)

Now, when I taught this topic, my students were given a formula page that they could refer to. (They had to know what all the letter meant)
This is a page from my notes: There are two commonly used forumulas. Do you know what the letters mean?

131228 Bond purchase price for a given yield.JPG
where
131228 - angle n at i.JPG
and
P is the 'today' value
C is the redemption value (I think of it as the 'cash in' value)
F is the face value
i is the yield (rate)
r is the coupon rate
n is the number of coupon periods left until maturity

I think that should be enough to get you started.
Tell me the value of each or the letters (pronumerals)
Tell me what answer you get.
If you have more problems let me know and try to tell me what the problem is.

Happy calculations.
Melody.

Melody28 dic 2013

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I don't understand what you are asking.
Can you try to explain more please.

Melody27 dic 2013

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Unskilled:
A base of a triangular tank has a length of 14cm with a perpendicular width of 10cm and it is 3/4 full. When I dropped a rock with a volume of 460 cm3 inside the tank, the water level rose to the top and 40ml spilt out. What was the depth of the water before the rock was put in?

Great! A proper question.

Very first you need to know that an internal volume of 1cm ³ has a capacity of 1ml. This is handy for you to always know.

1) Let x be the height of the water displaced by the rock. At this this stage you can 'pretend' that the water doesn't flow over the top.
Set up an equation and solve for x

2) Now I need to find how much of this 'height' actually flowed over the top.
Let the overflow 'height' be y
Set up an equation and solve for y

3) now the tank was originally 3/4 full
so x-y = the other 1/4 of the tank.

this might be easier to understand as you do the question. Draw the tank, diagrams always make it easier to think straight.

4) You now know what 1/4 of the tank is so your can find 3/4 of the tank easily. And that is the answer.

Once you get the answer you should check that it really works.

Have a go your self, if you get stuck I'll help more.
If you get the answer, tell everyone on the forum what it is.

Melody27 dic 2013

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arabgurl13:
how can you multiply and divide rational numbers

Rational numbers are just ordinary numbers
They can be expressed exactly as a fraction.
They can also be expressed exactly as either whole numbers (positive or negative), terminating decimals or recurring decimals.
so if you can't do it on paper or in your head, you can do it and get an exact answer on a normal calculator.

does this answer your question?

Melody27 dic 2013

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Hhagsh:
A rectangle is dialated with a scale factor of 0.6 Is the image a reduction or. An enlargement? Explain

well, if you multiply the length and the breadth by 0.6, They would get smaller. So it it is a reduction.

I think it is dilated (without the extra a) ?

Want more info?
http://en.wikipedia.org/wiki/Dilation_(affine_geometry)

Melody27 dic 2013

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Hey Cale (or anyone else),

If you've got nothing better to do would you like to callenge me to a game. It's easy and I am not very good at it. (Because I am slow)
All you have to do is click numbers from 1 to 100 in the right order. You have 4 minutes to click as many numbers as possible.
This is a game site that I hang out at a bit. There are lots of other games there as well. My username is Melody2
http://www.sporcle.com/games/RobPro/1-100-click-me

Melody27 dic 2013

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Hello Cale
It's a bit quiet around here isn't it.

Melody27 dic 2013

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Random260:
Yeah, it is up to you whether you want to or not I am fine with you giving me more question since it is good for me.

Hi Random,
Your enthusiasm overwhelms me!
Don't worry, I understand.
One last question and hopefully we will both be happy.
Suggestions: When you do questions with a forumula, write the formula every time because it will help you to remember it.

$10500 is invested at 3.6% p.a. compounded every 3 months for five and a half years.

a) write the formula
b) what is P, r and n
c) show the substitution step
d) what does the $10500 compound to? (to nearest cent)
e) How much interest was earned?
Bonus Questions: (I know I get carried away, feel free to ignore me when you get sick of this game - just answer what you want to answer.)
f) Would the interest have been more or less if it had been simple interest? Why? (Try to answer without calculations)
g) How much interest would have been earned if it was done using simple interest? (Show the formula and the substitution)

Where are you from Random?

Melody27 dic 2013