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I think i know this but i had forgotten it. Sorry 

4.4.3 cannot be the derivative of any of the other functions, bc it starts negatively. For that to happen, one of the graphs would have to start out going downwards. There is no such graph, so 4.4.3 must be the answer.

5 is the derivative of 3

2 is the derivative of 5

4 is the derivative of 2

lf you want to solve the problem by substituting the x for the numbers provided, just plug in a number for x and solve the equation. lt's simple PMDAS... Just ask if you need more depth.

y=1/2x+4 using -1, 0, 1,2

Thanks Mikkey, you have given an excellent answer :)

Hi Silstar,

Don't worry, BODMAS is exactly the same as PEDMAS and PEMDAS

brackets = parentheses    :)

of ('power of' or 'order') = exponents

In the diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE is perpendicular to AC, and m∠DAC = 55.

To the nearest integer, the area of rectangle ABCD = how many square units.

sin (55)  =  DE / AD

AD  =  DE / sin (55)

AD  =  8 / sin (55)

And  

tan (55) = DC / AD

tan (55)  = DC / [8 / sin (55) ]

DC  =  8 tan (55) / sin (55)   

So...... the area of  ABCD  =

AD * DC  =

[8 /sin (55) ]  [ 8 tan (55) / sin (55) ]   ≈    136 units^2  

Hit the "2nd" button  on the calculator and find the "atan" key....note .....you may have to change the mode - at the  bottom left - to degrees....

City A:  population = 5000(1.04)ⁿ

City B:  population = 8000(1.02)ⁿ

These will be equal when:  5000(1.04)ⁿ  =  8000(1.02)ⁿ

Find the log of both sides:      log( 5000(1.04)ⁿ )  =  log( 8000(1.02)ⁿ )

Rewriting:                      log( 5000 ) + log( 1.04ⁿ )  =  log( 8000 ) + log( 1.02ⁿ )

Rewriting:                   log( 5000 ) + n · log( 1.04 )  =  log( 8000 ) + n · log( 1.02 )

Rearranging:        n · log( 1.04 )  -  n · log( 1.02 )  =  log( 8000 ) - log( 5000 )

Factoring:                   n ( log( 1.04 ) - log( 1.02 ) )  =  log( 8000 ) - log( 5000 )

Dividing:               n  =  [ log( 8000 ) - log( 5000 ) ]  /  [  log( 1.04 ) - log( 1.02 ) ]

Using a calculator, n = 25.

Also:  5000(1.04)²⁵  =  13329

          8000(1.02)²⁵  =  13125

Huh?

It grew 16.5 feet during those 7.5 years (57.0 - 40.5 = 16.5).

To find the average yearly growth rate, divide this amount by the number of years:

     16.5 / 7.5  =  2.2 feet per year.

I learnt this but I forgot how to do it...

Ah yes I did do a mistake

Town A: 10000

Town B: 12000

Lemmie recheck

that is way too much for 25 years

We want to solve this

5000 (1.04)^t   =  8000 (1.02)^t       rearrange as

(1.04)^t  / (1/02)^t   =   8000/ 5000

(1.04 / 1/02)^t   =  8/5

(52/51)^t  =  8/5            take the log of both sides

log (52/51)^t   =  log (8/5)     and we can write

 t * log (52/51)  =  log (8/5)        divide both sides by log (52/51)

t =   log (8/5)  / log (52/51)  =   after  ≈ 24.2 years

Yep! Sometimes this calculator does funny things but it gets the job done!

City A: 125000.04

City B: 200000.02

My answers. 

Just saying this is 25 yrs.

Thank you 

Sorry dude got my own stuff to worry bout. Just use a calculator if ur lazy

1.2487 ≤ 1.021^t    take the log of both sides

log 1.2487 ≤  log 1.021^t        an we can write

log 1.2487 ≤  t * log 1.021     divide by log 1.021

log 1.2487 / log 1.021   ≤  t

10.687   ≤  t

I'm doing Java code and I need the answer to know if my code is working and I don't know the answer so I don't know if my code is giving me the right answer.

I ain't taking away yo education XD Figure it put urself took me long enough to find out

But what is the answer.

And what is the value of A and B.

No idea XD