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 #68
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[quote="Random260"]

As you can see the rate is now changed to 3 since that is the compounding period. Please tell me if this is right or wrong.
It is not the rate that you have changed to 3, it is the number of times that interest is added each year that you have changed to 3
(and this is correct)
Your new attempt at entire answers is not correct.
I want to look at the answers that I actually asked for - Thank you for anwering them properly.
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(a) Philip inherited $170,000. He invested it in a term deposit which earned 6.6% p.a. compounding every 4 months
How much did it grow to after 5 years?
(b) If you can do this one maybe you could tell me how much it would grow to after 6 years
(c) How much will it grow after 1/3 years.
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Answer for all three of the above questions seperately. Don't worry about anything else. Just answer these questions properly.

1.What is the annual rate of interest for a? b ? c?
2.how long is the compounding period. That is how often is the interest added. a? b? c?
3.for each of them, how many times per year is the interest added a? b ? c?
4.What is the interest rate for each compounding period a? b? c? (This is r)


1a) 0.066
2a) (3x5) = 15
3a) 12/4 = 3
4a) 0.066/3 = 0.022

1b) 0.066
2b) (3x6) = 18
3b) 12/4 = 3
4b) 0.066/3

1c) 0.066
2c) (1/3x12) x 3
3c) 12/4 = 3
4c) r= 0.066/3
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Question 1, 3 and 4 are perfect, (except I want r= in front of 4a and 4b)
Q2 is not correct.
2.how long is the compounding period. That is how often is the interest added. a? b? c?
This is becauses you have a real problem interpreting words. You need to work on this.
The question is, [size=150]How often is the interest added?[/size]
See if you can work out what I want by yourself.
Add the r=s
re-submit this answer.

NOW, if you feel really confident that your Q2 is correct this time then I want you to try and write IN WORDS what you have discovered, what is the relevance of these answers,
why did I ask them? (You really need to practice writing and interpreting words)
Jan 6, 2014
 #66
avatar+118725 
0
Random260:

r= is the rate it is compounded (A better answer would be) r is the rate for each compounding period
n= the number of compounding interest. How many times it is compounded n= the number of compounding interest. How many times it is compounded


n= the number of compounding PERIODS. How many times it is compounded: n has got nothing to do with the amount of interest being charged.

Okay, that is much better, you answered the questions that I asked you to answer! I've just adjusted your answers a little
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DON'T answer a b and c again. My new questions are in blue.

(a) Philip inherited $170,000. He invested it in a term deposit which earned 6.6% p.a. compounding every 4 months
How much did it grow to after 5 years?
(b) If you can do this one maybe you could tell me how much it would grow to after 6 years
(c) How much will it grow after 1/3 years.
----------------------------------------------------------------------------------------------------
Answer for all three of the above questions seperately. Don't worry about anything else. Just answer these questions properly.

1.What is the annual rate of interest for a? b ? c?
2.how long is the compounding period. That is how often is the interest added. a? b? c?
3.for each of them, how many times per year is the interest added a? b ? c?
4.What is the interest rate for each compounding period a? b? c? (This is r)

So I have asked 4 questions and each question must have 3 answers.

You will get them right if you just THINK first.
Jan 6, 2014
 #2
avatar+118725 
0
bbygrl1996:

If sin (30) = 1⁄2 then the cosine of what angle will be 1⁄2?



Walt's method will work fine. Thankyou for posting Walt, you gave a good answer,

But there are other methods that I would like to talk about.

I'd really like other people who have been introduced to trigonometry at school to also pay attention to this one.
Draw a right angled triangle. I really want you to do this.
mark one angle as 30degrees
since sine 30 = 1/2
You can put 1 on the opposite side and 2 on the Hypotenuse.
Now think for a bit.......
Can you 'see' the answer yet? That is cos of what angle = 1/2
If not maybe you should work out what the 3rd angle will be.
what is the cos of the 3rd angle?
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Now we'll do it more generally
right angled triangle.JPG
Consider this triangle.
what is the size of the 3rd angle (in terms of theta)
hopefully you wil realise that it is 90-theta

Now, on this triangle,
what is Sine (theta)
hopefully you know that it is t / Hyp
what is Cosine(90 - theta) answer t / Hyp
so
sine (theta) = cosine (90-theta)
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Did you ever think about why cosine is sine with a co out the front?

Have you heard of COMPLEMENTARY ANGLES.
These are angles that add up to 90degrees
e.g. 30degrees and 60degrees are complementary angles
85 degrees and 5 degrees are complementary angles

The 'co' stands for complementary.
sine(theta) = cos(90-theta)
sin -1 (t / H) + cos -1(t/H) = 90 degrees

I hope that a few people learn something from this one
Jan 6, 2014
Jan 5, 2014

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