Suzie just became a personal trainer and is finalizing her pricing plans. One plan is to charge $59 for the initial consultation and then $86 per session. Another plan is to charge $63 for the consultation and $84 per session. Suzie realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

2 sessions, $231

Step-by-step explanation:

Make an equation (let x represent the number of sessions)

59+86x=63+84x

Subtract 84x from both sides

59+2x=63

Subtract 59 from both sides

2x=4

Divide by 2

x=2

At 2 sessions they will be equal

To find the cost, substitute 2 in for x

59+86(2)=63+84(2)

59+172=63+168

231=231

So, at 2 sessions the plans will cost the same at $231

Hope this helps! :)

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice