14. Veronica is choosing between two health clubs. After how many months will the total cost for
each health club be the same?
Yoga Studio
Yoga Studio A
Membership 522.00
Monthly Fee $24.50
Membership 547.00
Monthly Fee $18.25

The total cost for  each health club would be the same after 4 months.

Step-by-step explanation:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

For studio A:

Membership fee = $22.00

Monthly Fee = $24.50

The equation for studio A:

For studio B:

Membership fee = $47.00

Monthly Fee = $18.25

The equation for studio B:

Let 'x' be the month of membership

We must have to find the value of month or 'x' for which the total cost at each health studio is the same.

i.e. when A = B

Hence, the expression will be

A = B

22 + 24.5x = 47 + 18.25x

Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same

i.e.

22 + 24.5(4) = 47 + 18.25(4)

      22 + 98 =  47 + 73

         120 = 120

so, at x=4 the equations become the same.

Therefore, the total cost for  each health club would be the same after 4 months.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204