2 unit maths revision (1 Viewer)

SpiralFlex

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trial and error with factors of 120
Obtain x =2
graph is symmertical about x=-2.5
Therefore the other solution is x=-5
Correct. I would have used this,



Let









Now,





Therefore for x to have real solutions,





 

hscishard

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Correct. I would have used this,



Let









Now,





Therefore for x to have real solutions,





Oh ok. Didn't notice that

New question:
A finance company has agreed to pay a retired couple a pension of $19200/yr for the next 20 yrs, indexed to inflation that is 3.5% per annum.
How much would have the coupe been paid over 20 years?
In return, the couple pay an upfront fee which the company invests at a compound interest rate of 7% per annum. The total value of the fee plus interest covers the pension payout over the 20 yr period. How much did the couple pay upfront?
 

SpiralFlex

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It's only fair if we do Mitchy's question first. Let me get cracking.
 

slyhunter

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DanJohnson, confirmed homo with no life

Someone get back on topic with a real 2U q
 

hscishard

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A fish farmer began business on 1 January 1998 with a stock of 100 000 fish. He
had a contract to supply 15 400 fish at a price of $10 per fish to a retailer in
December each year. In the period between January and the harvest in December
each year, the number of fish increases by 10%.

(i) Find the number of fish just after the second harvest in December 1999.

(ii) Show that, the number of fish just after the n th harvest, is given by

(iii) When will the farmer have sold all his fish, and what will his total
income be?

(iv) Each December the retailer offers to buy the farmer’s business by paying
$15 per fish for his entire stock. When should the farmer sell to
maximise his total income?
ii) 100,000 - 154000(1.1^n -1)
=-54000 x 1.1^n + 154000
154000 - 54000 x 1.1^n
iii) 11th yr. 1693283.53
iv) 7.25... so 7th? or is it 8. I cbf checking
Not sure if I got em correct
 
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