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OLga [1]
3 years ago
7

The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000 where x is the number of rides.

Mathematics
1 answer:
MissTica3 years ago
6 0

Answer: 100 rides are needed to break even.


Step-by-step explanation:

We have given the cost function

C(x)=15x+2000 where x is the number of rides.

And rides cost 35$

⇒ revenue function would be 35 times x

i.e.R(x)=35 x , where x is the number of rides.

Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.

i.e. at break even point

total revenue=total cost

⇒35x=15x+2000

⇒35-15x=2000[subtract 15x from both sides]

⇒20x=2000 [simplify]

⇒x=2000/20[dividing both sides with 20]

⇒x=100

∴ 100  rides are needed to break even.

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A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side
mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87

3 0
3 years ago
Kenneth has 2,000$ to invest
Katarina [22]

The calculations for 2, 4, 8 year can be derived as follows,

For simple interest:

                   S.I = \frac{P*T*R}{100}

P= principle

T= Time

R= Rate

For 2 year;

            S.I = \frac{2000*2*5.6}{100}=  $224

           Amount = $2224

For 4 year;

            S.I = \frac{2000*4*5.6}{100}= $448

           Amount = $2448

For 8 year;

             S.I = \frac{2000*8*5.6}{100}= $896

           Amount = $2896

7 0
3 years ago
1/4 X Plus x equals negative 3 plus 1/2 x
ElenaW [278]
1/4x+4/4x = -6/2x+1/2x
5/4x = -5/2x
x=0
5 0
3 years ago
What is the length of the altitude of the equilateral triangle below?
Mazyrski [523]

ANSWER

The length of the altitude is 3\sqrt{3} units


<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.


From the diagram the altitude is a


Method 1: We can use Pythagoras theorem to find a


6^2=a^2+3^2


6^2-3^2=a^2


36-9=a^2


27=a^2


We take the square root of both sides,

\sqrt{27}=a


\sqrt{9\times3}=a


\sqrt{9} \times \sqrt{3}=a


3\sqrt{3}=a


Method 2 Using Trigonometry

sin(60\degree)=\frac{a}{6}

6sin(60\degree)=a


a=6\times \frac{\sqrt{3}} {2}


a=3\sqrt{3}






6 0
3 years ago
Read 2 more answers
Can someone help please<br><br> 2y+3=3(y+7)
NikAS [45]

Answer:

y = -18.

Step-by-step explanation:

hope that helps

5 0
2 years ago
Read 2 more answers
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