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Marcus's  total  profit can be  modeled by 300x - 400

Lauren's total profit can be modeled by  250x - 300

Setting these equal, we have

300x - 400  = 250x - 300      add 400 to both sies, subtract 250x from each side

50x = 100   ....divide both sides by 2

x = 2 days  

Eve is painting the walls of a room.The walls have an area of 72m^2 in total. To get the colour she wants, she mixes blue and red paint in the ratio 1:3. 

Both colours of paint are sold in 1.5 liter tins. 

One litre of paint will cover an area of 9m^2.

Work out the minimum number of tins of each colour she has to buy 

Welll......she needs   72m^2/9m^2  = 8  litres

If the ratio is blue/:red =  1:3   she needs 3 times as much red as blue per mix

So........since she can't buy less than 1.5 litres of the blue.......then she must buy 1.5 litres of the blue.....which means that she must buy 1.5 x 3  = 4.5 litres of red.......however...this only gives her 6 total litres  [ 1.5 + 4.5]  and she needs 8

Thus......... she will have to buy another tin of blue  [ for a total of 3 litres of blue]  and 3 more tins of red = 4.5 litres

So.....she needs 2 tins of blue and 6 tins of red, for a total of [ 2 + 6 ]*1.5  = 12 litres

Finally.......she will have 4 extra litres of the mixture left  !!!!!

2.5

 3x + 12 - 6x < -9    simplify

-3x < -21     divide both sides by -3 and reverse the inequality sign

x > 7

 Interval notation :  (7, ∞)

I can't show the graphed version...but.....draw a number line with a "open'" dot at  x = 7.......from this point, draw an arrow to the right

HI!!!

We can get the answer to 25 by first finding the distance,d, the plane has traveled for 10:24 to 11PM.....since it has been flying for 36 min...we have that 

d/36 = 17.91/5 

d =36*17.91/ 5 ≈ 128.952 miles

And we can find the (x, y)  coordinates of its terminal point as follows

[ 120cos(280) + 128.952cos(69.28) , 120sin(280) + 128.952sin(69.28)  ]    →  x = 66.4612 and y = 2.43453

So....the new trminal point is [ 66.4612, 2.43453]

And the distance  [from (0,0) ]  is given  by ..... sqrt   [  66.4612^2  +  2.43453^2 ]  ≈ 66.5058 mi ≈ 67 miles   [rounded]

And the bearing is given by   [ 90 - arctan(2.43453/66.4612) ] °   =  [90 - 2.098]° ≈ 87.902° = 88°  [rounded]

So...the new heading (bearing)  is     88° at  67 miles

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I believe it is 13 5/8.

how do u put a inaqualty symbol

We can use the Law of Cosines to get tthe answer to 23

We need to find the distance, x, traveled by theplane in  5 minutes....note that the angle betewwn the vectors = 5°

So...we have

x^2 = 120^2 + 105^2 - 2(120)(105)cos(5°)

x = sqrt [ 120^2 + 105^2 - 2(120)(105)cos(5°)]  ≈  17.91 miles

Then...if it traveled  17.91 miles in 5 minutes...it would be traveling at  17.91 * 12  ≈  214.92mph ≈  215 mph

To get the answer to 24,    let us find the slope between the coordinates  end points of the vectors...we have

[ 120cos(280), 120 sin(280)]     and ( [ 105cos(285), 105sin(285) ]  = 

[ 105sin(285) - 120sin(280) ] / [105cos(285) - 120cos(280)]  ≈ 2.643

Using the tangent inverse of this to find the angle of the slope, we have arctan(2.643)  ≈ 69.28°

And subtracting this from 90 will give us a heading of about 90 - 69.28 = 20.72° ≈  21°

[I'm still thinking about the answer to 25 ] 

x=4

5/6 or 0.833...

53/42

We can split this into two integrals

0                            0

∫      4  dx      +       ∫   √ [49 - x^2 ] dx

-7                          -7

                                                          0

The first is easy.....we have       4x ]              =    0 - (-28)  =  28

                                                         -7

For the second part we have

0

 ∫   √ [49 - x^2 ] dx   

-7

Let  a = 7     →  a^2 = 49

Let x = a cos θ  →  7 cos θ  →  x^2 = 49cos^2 θ      and    dx  =  -7 sin  θ  dθ

Now.....when x =  0  ,    0  = -7cos θ   ....   so    θ  = pi/2   

And when x = -7 ,   - 7 = 7cos θ  .→  -1 = cos  θ   ....so   θ   =  pi

Making the following substitutions, we have

pi/2 

 ∫   √ [49 - 49cos^2  θ ] * -7 sin  θ   dθ

pi

pi/2 

 ∫ 7  √ [1 - cos^2  θ ]  * -7 sin  θ  dθ

pi

    pi/2 

-49 ∫   √ [1 - cos^2  θ ]  *  sin  θ  dθ

   pi

     pi/2

-49 ∫   sin  θ  * sin  θ    dθ

    po

     pi/2

-49 ∫   sin^2   θ      dθ         note ...  cos2θ  =  1 - 2sin^2θ   →   sin^2 θ  =   [ 1 - cos2 θ ] / 2  =  1/2 - [cos2 θ] / 2

   pi

So we have

        pi/2                  pi/2

-49  [  ∫    1/2 dθ    -  ∫    [cos 2 θ] / 2 dθ   ]       =

      pi                         pi

-49 [  (1/2) [ pi/2 - pi)  -  1/4 [ sin ( 2*pi/2)  - sin (2pi) ]  =

-49 [ (1/2)(-pi/2)   - (1/4)*[0 - 0]  =

[-49] [ -pi/4 ] ≈ 38.4845

Putting tis all together, we have    28 + 38.4845  ≈  66.4845

Note....that we didn't really need to use Calculus on the second half of the problem....this is just the area of a quarter circle with a radius of 7 =  (49/4)*pi ≈ 38.4845.......

44j

j + j = 2j

9 + 34 = 43

43 + 2j = 44j

Is this right?

sqrt(1505510) = 1226.9922575142843989

It wouldn't matter because you lost count last year when you adopted those 15 other cats.

LOL

My Answers

1) Ignore Them

2) Play Roblox and Call of Duty, play outside with my neighbors

3) Eh

4) Me and math get along together very well

5) Yes: 7th

6) In what way? Physically: Nah. Mentally? Maybe... Idk...

1) Tell them to go away.

2) Read books.

3) Its okay.

4) Math hates me.

5) Grade 10.

6) No, i do not need help.

Your formula is written wrong and therefore you will get a wrong answer. That is why the answer of "Guest 1" is wrong. It looks to me that you are trying to calculate a monthly payment on a loan of $28,000 @ 7.45% compounded monthly for a period of 3 years or 3 x 12 =36 months.

The proper formula to use is this:

PMT=PV. R.{[1 + R]^N / [1 + R]^N - 1}

PMT = 28,000 x 0.0745/12 x {[1 + 0.0745/12]^3*12 / [1 + 0.0745/12]^3*12 - 1}

PMT =173.833... x {[ 1.249582] / [ 0.249582]}

PMT =173.833....x       5.00669957

PMT = $870.33, which the correct monthly payment on this loan.

http://www.metric-conversions.org/

21! Just kidding. The actual CORRECT answer using mathematical language and symbols would be 19.0.