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Re: What Are The Next Three Numbers In This Sequence? by Mechanics96(m): 9:41pm On Sep 10, 2017 |
Pridestorm: The sum to infinity of a geometric series is S. The sum to infinity of the squares of the terms is 2S. The sum to infinity of the cubes is 64/13 S. Find S and the first three terms of the original series |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 10:15am On Sep 11, 2017 |
IS TOO ADVANCED FOR ME AT THIS MY LEVEL....... |
Re: What Are The Next Three Numbers In This Sequence? by Polymath56: 11:59am On Sep 11, 2017 |
Mechanics96: Original series: 8/3,8/9,8/27 S=4 |
Re: What Are The Next Three Numbers In This Sequence? by Mechanics96(m): 12:03pm On Sep 11, 2017 |
Pridestorm:While we await someone to come up with the solution to that, Pridestorm, can you; Convert 11.101 base two to base 10 |
Re: What Are The Next Three Numbers In This Sequence? by Mechanics96(m): 12:09pm On Sep 11, 2017 |
Polymath56: Correct! |
Re: What Are The Next Three Numbers In This Sequence? by Jackossky(m): 12:20pm On Sep 11, 2017 |
Mechanics96: 29/8 (improper fraction) 3.625 (decimal) |
Re: What Are The Next Three Numbers In This Sequence? by Mechanics96(m): 12:30pm On Sep 11, 2017 |
Jackossky: |
Re: What Are The Next Three Numbers In This Sequence? by Mechanics96(m): 12:31pm On Sep 11, 2017 |
Jackossky:Bravo! |
Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 12:35pm On Sep 11, 2017 |
Next question |
Re: What Are The Next Three Numbers In This Sequence? by Jackossky(m): 12:39pm On Sep 11, 2017 |
mustapha112:seconded |
Re: What Are The Next Three Numbers In This Sequence? by Makanjuola89: 1:32pm On Sep 11, 2017 |
MasterMind21:How? |
Re: What Are The Next Three Numbers In This Sequence? by Joiceee(f): 1:38pm On Sep 11, 2017 |
next question........let me show you my skills |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 1:48pm On Sep 11, 2017 |
x articles are produced at a total cost of $(2x"2 + 30x + 20), and each one is sold for $(x/3+100). Find the value of x which gives the greatest profit, and find this profit. |
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 3:01pm On Sep 11, 2017 |
Pridestorm:X=21 Profit =617 |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 3:48pm On Sep 11, 2017 |
Please Try Again afo7219:Please Try Again |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 4:32pm On Sep 11, 2017 |
Pridestorm: X = 21 Profit = 2145 |
Re: What Are The Next Three Numbers In This Sequence? by Polymath56: 4:44pm On Sep 11, 2017 |
Pridestorm:x = 21 Profit = $715 |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 5:35pm On Sep 11, 2017 |
Excellent! Polymath56:Excellent! |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 5:42pm On Sep 11, 2017 |
Pridestorm: I want to know how the profit is $715 |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 5:44pm On Sep 11, 2017 |
Okay..... |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 5:50pm On Sep 11, 2017 |
Pridestorm: After solving for your X, you should put the value of X back in the proft equation (the equation that generated that value of X, i.e after checking for the critical point), which is -15x^2 +210x - 60. I think I know where you got 715 from which i think is wrong. You dont insert X back into the cost and selling equations, rather it must be inserted into the profit equation to obtain the equivalent maximum profit. If i am wrong, then you may have to thoroughly convince me because I haven't seen such approach you just used. |
Re: What Are The Next Three Numbers In This Sequence? by Polymath56: 5:55pm On Sep 11, 2017 |
hostine316: Profit = x(x/3+100) - 2x²+30x+20 Profit = x²/3 + 100x - (2x²+30x+20) Profit = -5x²/3 + 70x - 20 Profit is maximum when dp/dx = 0 dp/dx = -10x/3 + 70 = 0 x = 21 Profit = -5x²/3 + 70x - 20 Profit = -735+1470-20 Profit = $715 |
Re: What Are The Next Three Numbers In This Sequence? by Polymath56: 5:57pm On Sep 11, 2017 |
hostine316: You got it wrong by multiplying d profit by 3 1 Like |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 5:57pm On Sep 11, 2017 |
Total Cost Of Article=$(2x"2 + 30x +20).
Total Money Received For x articles sold =$x(x/3+100).
Then The Profit $P=$[x(x/3+100)-(2x"2 + 30x + 20)] so P= 70x-5/3x"2-20.
The Maximum Value Of P Will Be Given By dP/dx=0
dP/dx=70-10/3x=0 which gives x=21
(check:d"2P/dx"2=-10/3 which is less than 0).
then the maximum profit =$(70 * 21 - 5/3 * 21"2 - 20)=$715. 1 Like |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 5:59pm On Sep 11, 2017 |
Polymath56: I think I understand now..It was thesame approach, I made the mistake by doing away with fraction. Thanks..found my mistake.. |
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 6:05pm On Sep 11, 2017 |
hostine316:The guy is correct. The correct ans is $715. I jus checked d calculation again I made an error in calculation because I wasn't wit a calculator DAT time. U sub. X=21 into x^2/3+70x-2x^2-20 which is d profit function. Try it, u will get $715 |
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 6:11pm On Sep 11, 2017 |
Next question, Alhaji bello has 36 months car loan of #50,000 @ 12% interest rate per annum.what is the monthly loan repayment?? |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 6:55pm On Sep 11, 2017 |
#18,000 |
Re: What Are The Next Three Numbers In This Sequence? by Polymath56: 7:07pm On Sep 11, 2017 |
afo7219: Total payable Interest for d 36mnts = N9786 Total cost of loan payment= N59786 Monthly Loan repayments = 59786/36 = N1661 |
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 7:09pm On Sep 11, 2017 |
Pridestorm:Wrong! |
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 7:10pm On Sep 11, 2017 |
Polymath56:Correct! |
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 7:14pm On Sep 11, 2017 |
thanks! |
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