1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesna [10]
3 years ago
12

Community Gym Charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fr

e. How many months will the total amount of money paid to both gyms be th same? What will the amount be?
Mathematics
1 answer:
zheka24 [161]3 years ago
3 0
For the Community Gym:
Membership Charge = $50
Monthly fee = $55
So for the 1st month total charge = $(50 +55)
                                                       = $105
For each month the member pays $55
So after the 2nd month total payment = $(105 + 55)
                                                             = $160
After 3rd month total payment = $(160 + 55)
                                                 = $215
After 4th month total payment = $(215 + 55)
                                                 = $270
After 5th month total payment = $(270 + 55)
                                                 = $325
After 6th month total payment = $(325 + 55)
                                                 = $380
Now for the Workout Gym:
Membership Charge = $200
Monthly Charge = $45
So for the 1st month the member pays = $(200 + 45)
                                                                = $245
For the 2nd month total payment = $( 245 +45)
                                                      = $290
For the 3rd month total payment = $(290 + 45)
                                                     = $335
For the 4th month total payment = $(335 + 45)
                                                     = $ 380
So the 6th month payment in the Community Gym is the same as the 4th month payment in the Workout Gym. The amount will be $380.
You might be interested in
HELPPPPPPPPPPPPPPP RATE 5 STARSS
Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13.  The length of a side PQ with coordinates of

      P as (x,y)  and Q as (w,z)

       is: \sqrt{(x-w)^{2} +(y-z)^{2} }

  • so, the length of the side AB =

\sqrt{(5-5)^{2}+(-2+7)^{2}  } =\sqrt{0^{2}+5^{2}  } =5

  • the length of side BC =

\sqrt{(5-1)^{2}+(-7+2)^{2}  } =\sqrt{(4)^{2}+(-5)^{2}  } =\sqrt{4^{2}+5^{2}  }

  • the length of side AC=

\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4

now, the easiest one will be when the vertices are on the coordinate axes.

  • so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

  • here, the alternate interior angles are angle1 and angle4.
  • therefore to prove this step, he used parallel postulate as a reason.
  • so, the correct option is "a"

7 0
3 years ago
What is the value of X
Elodia [21]

Answer:

B) 24

Step-by-step explanation:

A right triangle is 90°

90-42=48

48/2=24

3 0
3 years ago
Read 2 more answers
A parabola has its focus at (1,2) and its directrix is y=-2. the equation of this parabola could be
Oksi-84 [34.3K]
<span>x^2/8 - x/4 + 1/8 = 0 A parabola is defined as the set of all points such that each point has the same distance from the focus and the directrix. Also the parabola's equation will be a quadratic equation of the form ax^2 + bx + c. So if we can determine 3 points on the parabola, we can use those points to calculate the desired equation. First, let's draw the shortest possible line from the focus to the directrix. The midpoint of that line will be a point on the desired parabola. Since the slope of the directrix is 0, the line will have the equation of x=1. This line segment will be from (1,2) to (1,-2) and the midpoint will be ((1+1)/2, (2 + -2)/2) = (2/2, 0/2) = (1,0). Now for the 2nd point, let's draw a line that's parallel to the directrix and passing through the focus. The equation of that line will be y=2. Any point on that line will have a distance of 4 from the directrix. So let's give it an x-coordinate value of (1+4) = 5. So another point for the parabola is (5,2). And finally, if we subtract 4 instead of adding 4 to the x coordinate, we can get a third point of 1-4 = -3. So that 3rd point is (-3,2). So we now have 3 points on the parabola. They are (1,0), (5,2), and (-3,2). Let's create some equations of the form ax^2 + bx + c = y and then substitute the known values into those equations. SO ax^2 + bx + c = y (1) a*1^2 + b*1 + c = 0 (2) a*5^2 + b*5 + c = 2 (3) a*(-3)^2 + b*(-3) + c = 2 Let's do the multiplication for those expressions. So (4) a + b + c = 0 (5) 25a + 5b + c = 2 (6) 9a - 3b + c = 2 Equations (5) and (6) above look interesting. Let's subtract (6) from (5). So 25a + 5b + c = 2 - 9a - 3b + c = 2 = 16a + 8b = 0 Now let's express a in terms of b. 16a + 8b = 0 16a = -8b a = -8b/16 (7) a = -b/2 Now let's substitute the value (-b/2) for a in expression (4) above. So a + b + c = 0 -b/2 + b + c = 0 And solve for c -b/2 + b + c = 0 b/2 + c = 0 (8) c = -b/2 So we know that a = -b/2 and c = -b/2. Let's substitute those values for a and c in equation (5) above and solve for b. 25a + 5b + c = 2 25(-b/2) + 5b - b/2 = 2 -25b/2 + 5b - b/2 = 2 2(-25b/2 + 5b - b/2) = 2*2 -25b + 10b - b = 4 -16b = 4 b = -4/16 b = -1/4 So we now know that b = -1/4. Using equations (7) and (8) above, let's calculate a and c. a = -b/2 = -(-1/4)/2 = 1/4 * 1/2 = 1/8 c = -b/2 = -(-1/4)/2 = 1/4 * 1/2 = 1/8 So both a and c are 1/8. So the equation for the parabola is x^2/8 - x/4 + 1/8 = 0 Let's test to make sure it works. First, let's use an x of 1. x^2/8 - x/4 + 1/8 = y 1^2/8 - 1/4 + 1/8 = y 1/8 - 1/4 + 1/8 = y 1/8 - 2/8 + 1/8 = y 0 = y And we get 0 as expected. Let's try x = 2 x^2/8 - x/4 + 1/8 = y 2^2/8 - 2/4 + 1/8 = y 4/8 - 1/2 + 1/8 = y 4/8 - 1/2 + 1/8 = y 1/2 - 1/2 + 1/8 = y 1/8 = y. Let's test if (2,1/8) is the same distance from both the focus and the directrix. The distance from the directrix is 1/8 - (-2) = 1/8 + 2 = 1/8 + 16/8 = 17/8 The distance from the focus is d = sqrt((2-1)^2 + (1/8-2)^2) d = sqrt(1^2 + -15/8^2) d = sqrt(1 + 225/64) d = sqrt(289/64) d = 17/8 And the distances match again. So we do have the correct equation of: x^2/8 - x/4 + 1/8 = 0</span>
4 0
3 years ago
How to find the gradient of line segment joining each pair of points?
yarga [219]

Answer:

2

1/3

Step-by-step explanation:

A(xA, yA) = A (3,1)

B(xB,yB)=B(5,5)

the gradient=(yB-yA)/ (xB-xA)=(5-1)/(5-3)=4/2=2

C(4,7),D(10,9)

the gradient=(yD-yC)/(xD-xC)=(9-7)/(10-4)=2/6=1/3

6 0
3 years ago
QUICK I NEED HELP!!!
My name is Ann [436]
ITS B OR 92 DEGREES enjoy!!!
3 0
3 years ago
Other questions:
  • James bought a bag of 12 dinner rolls he used 1/6 of the bag how many dinner rolls did james use?
    10·1 answer
  • A logarithmic function is an appropriate model because, for evenly spaced y-values, the ___ of consecutive x-values is constant.
    14·2 answers
  • If someone could answer this problem and explain how to do it that would be a HUGE help thanks-
    9·2 answers
  • What is the answer to number 4
    14·1 answer
  • "when the population standard deviation is unknown, sample size is less than 30, and the population has a normal or near-normal
    14·1 answer
  • Which points is between points c and e
    8·2 answers
  • Using the net below, find the surface area<br> of the pyramid.<br> 4 cm<br> 2 cm<br> 2cm
    11·2 answers
  • HELPPP<br><br> 12x^5y^4 / 32x^2y^4
    10·1 answer
  • A bus travels 12 miles west and 16 miles south from its original location. How far is the bus from the original location?
    11·2 answers
  • Round 2.51 to 1 decimal place
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!