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A1La5

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My attempt:

The top row has one can, the second row has three cans, the third row has five cans, etc. There are also 529 cans in total. The information provided in the question tells us that the formation of cans can be modelled as an arithmetic sequence with the following parameters:
1630132850716.png
 
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stressedadfff

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My attempt:

The top row has one can, the second row has three cans, the third row has five cans, etc. There are also 529 cans in total. The information provided in the question tells us that the formation of cans can be modelled as an arithmetic sequence with the following parameters:
View attachment 31822
thank you :)
 

jimmysmith560

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oh thank you, is that a formula?
No worries.

Yep! It's called the compound interest formula, which is also expressed as:



I think another way to do this question would be something like this:

Robert invests $320 at the end of the first year.

Robert invests another $320 at the end of the second year, this one earning 7% interest.

320 x 0.07 = 22.4
320 + 22.4 = 342.2

Robert invests another $320 at the end of the third year, earning 7% interest on the amount he had by the end of the second year, which is:
320 + 342.2 = 662.4

662.4 x 0.07 = 46.368

662.4 + 46.368 = 708.768

708.768 + 320 = 1028.768

≈ $1028.77

i.e. (A)
 

stressedadfff

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No worries.

Yep! It's called the compound interest formula, which is also expressed as:



I think another way to do this question would be something like this:

Robert invests $320 at the end of the first year.

Robert invests another $320 at the end of the second year, this one earning 7% interest.

320 x 0.07 = 22.4
320 + 22.4 = 342.2

Robert invests another $320 at the end of the third year, earning 7% interest on the amount he had by the end of the second year, which is:
320 + 342.2 = 662.4

662.4 x 0.07 = 46.368

662.4 + 46.368 = 708.768

708.768 + 320 = 1028.768

≈ $1028.77

i.e. (A)
thank youuuu!!!!
 

jimmysmith560

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oh i see for this method tho, how come p = 960
I set it as 960 because Robert invests $320 at the end of each year. The question is in terms of 3 years.

I think the alternative method I suggested would be better, particularly because the version of the compound interest formula I've initially used is expressed differently than that you'd find on the reference list for Mathematics Advanced.
 

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