A sports club charges an initiation fee and a monthly fee. At the end of the 5 months, a member had paid a total of $450. At the end of the 10 months, she had paid a total of $500. a) Write a linear system to model the situation
b) Solve the linear system by substitution to solve the related problem: What are the initiation fee and the monthly fee?

Initiation fee is $400 while monthly fee is $10

Step-by-step explanation:

Let the initial fee be x which is fixed while the monthly fee be y

At the end of 5 months, 450 was paid

This means that;

x + 5y = 450 ••••••••(i)

At the end of 10 months, $500 was paid

Mathematically, this means that;

x + 10y = 500•••••••••••(ii)

now we solve both equations simultaneously to get the value of x and y

our equation ii can be rewritten as;

x + 5y + 5y = 500

we can now insert equation i directly into this

450 + 5y = 500

5y = 500-450

5y = 50

y = 50/5

y = $10

From x + 5y = 450

let’s insert the calculated value of y

x + 5(10) = 450

x + 50 = 450

x = 450-50

x = $400

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: