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Very nice, jeanne......!!!!

-6a²  bc - 12c + 3bcb     take out the greatest common factor = -3c

-3c ( 2a^2 + 4 - bd)

And that's all we can do.......!!!!   

[ If we knew the valuable of all the variables, we could just evaluate the original expression ]

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3/8

10 is your answer

A = A₀ (1 + r /n) ^n*t    where A is the accumulated amount, A₀ is the initial investment, r is the interest rate in decimal form, n is the number of compoundings per year and t is the number of years.....so we have

2500 = 1000(1 + .045/12)^12t     divide both sides by 1000

2.5  = ( 1 + .045/12)^12t              take the log of both sides

log (2.5)  = log ( 1 + .045/12)^12t     and we can write

log (2.5)  = 12t  log( 1 + .045/12)         divide both sides by 12log( 1 + .045/12)

t =  log(2.5) / [ 12log( 1 + .045/12) ]  = about 20.4 years

Edited answer.......!!!!!

-13.5

y = a^x   take the ln of both sides

lny = lna^x    and we can write

lny =  ln a^x    exponentiate both sides

e ^(ln y)   = e^(ln a^x)

y  = e^(ln a^x)

y = e^(x ln a)    take the derivative

y ' = lna * e^(x ln a)

y '  = lna * e^(ln a^x)

y ' = lna * a^x      and we can write

dy / dx   = (ln a) * a^x

C^{2 =} 16

16^1/2  = 4

C=4

X¹² /   X⁹  using quotient property equals  X^12-9

X^{3 =}  216

216 ^1/3  = 6

X=6

never mind. I had  the question wrong...

They are not negative because you might be messing up somewere

Thank you a ton for all of your help!

Much much appreciated.

3125/10,000

Start with  x+y =30,000

so x=30,000-y     we will come back to this

.06x+.12y= 2,460

.06(30,000-y)+.12y =2,460

 multiply

1800 - .06y+.12y =2,460

combine ys

1800 +.06y = 2,460 

.06y = 660   (subtracting 1800 from both sides)

   y=11,000

Back to the orginal

x+11000 = 30,000

x=19,000

Same person as before, k?

Full answer is 15,241,578,780,673,678,546,105,778,296,296,299,281,054,720,515,622,620,750,190,521.

You're welcome.​

8(4a+4)=0

      8       8

4a+4=0

     -4  -4

4a=-4

 4    4

a=-1

Hope this helps!

y=-4x+2

The answer is 1.5241579e+61.

If you read 2004 pages for 200 nights you would have read 400800 pages.

(wow, thats alot of reading) 

take 0,70 x 90 and you have the answear

We use prefixes before units of measurement to signify that the value is multiplied by 10, or 1000, or 0.01, etc. We do this to avoid adding lots of zeroes if the number is particularly large or small.

There is a international system for this:

He makes 42 / 7   =  6 cakes per day

Can you take it from there???

Hyperbolic functions (sinh/cosh etc.) aren't intrinsically defined in terms of angles.