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Hmmmm......but I think I made an error that you didn't !    Step 1 to step 2 is not true (now in red).....but the answer worked out by chance!

If the tuition is raised to $ 1000  that is a raise of 200 over the current 800 and represents x = 8  (25 * 8 = 200)

  substitute x= 8 in to the equation

(12000-300(8))(800+25(8)) = revenue        I'll let you do the math from here...

we all are

B has to be 5 x 5   since it is whole number w and d

so  A = 5 *x = 40     x = 8   A = 5 x 8

Then C = 6 x 5 = 30

and D is 6 x 8 = 48

By Euclid.....we have this

Area A * Area C = Area B * Area D

40 * 30  = 25 * Area D

1200 =  25 * Area D     divide both sides by 25

48 = Area D 

Got the answer lol its actauly really easy.  The answer is 48 

You use it as a magic wand.

Very Very tired... 

i'm sorry i got this answer i meant to post by using this model stated above how would i find the colleges revenue if tuition is raised to $1000? 

Thanks, heureka

Your second way is more elegant.....it translates easily into a circular function...

Heck, EP.....you beat me to it....LOL!!!!

3^(2x + 2)  + 27^(x + 1)  = 36      we can write

[ 3^2] ^(x + 1)  + [3^3]^(x + 1)] = 36       factor the left side

[3^2]^(x + 1) [ 1 + 3] = 36

[3^2]^(x + 1) [4] = 36       divide both sides by 4

[3^2]^(x + 1) = 9   

[9]^(x + 1) = 9^1

Since the bases are the same, solve for the exponents

x + 1    = 1      subtract 1 from both sides

x = 0

= 3^(2(x+1)) + 3^(3(x+1)) = 36

(3^2 +3^3)^(x+1) = 36                           this is incorrect!!!  See CPhil answer below!

36^(x+1) = 36

(x+1) Log 36 = log 36

x+1 = 1

x=0

i want to know solving processes

Center at 7,-3  and passes thru the origin...

  Radius is distance from center to origin

     sqrt(7^2 +3^2) = SQRT 58 = r

circle with center at h,k      (x-h)^2 +(y-k)^2 = r^2

so the circle in question is given by        (x-7)^2 + (y+3)^2 = 58

The previous examples had very few choices and hence a low number of possible combinations.  THIS example has

6 x 4 x 20 x4  combinations =1920 combinations.....   THAT is a very large tree to draw!

LOL!!!!....me neither....!!!!

(12000-300x)(800+25x) = $ revenue

 3^(2x+2)+27^(x+1)=36

Same here. Guest....

By inspection, the only integer solution is   x = 0

I am just looking t it and can see x = 0....I'll let Chris work out the details.....

Thank you so much ^-^

I'm not a morning person

You are supposed to thank and interact with answerers. That would be polite.

It would make the answerers stop feeling like they are talking to air and it would help you to learn.