1.
1 answer:
Answer:
The number of visit so that both plan cost same is 10 .
Both the plan has equivalent choice of benefit
Step-by-step explanation:
Given as :
A gym has two membership plans.
For Gold plan
The charge per month = $50
The charge per visit = $3
For Platinum plan
The charge per month = $20
The charge per visit = $6
Let The number of visit for which each plan be same = n visits
Now, According to question
<u>∵ Each plan cost to be same</u>
So,
The charge per month for gold plan+ The charge per visit × numbers of visit = The charge per month for platinum plan+ The charge per visit × numbers of visit
I.e $50 + $3 × n = $20 + $6 × n
Or, $50 - $20 = $6 × n - $3 × n
Or, $30 = ($6 - $3) × n
Or, $30 = $3 × n
∴ n =
I.e n = 10
So, The number of visits = n = 10
Now, For Gold plan
The charge per month = $50
The charge per visit = $3 × 10 = $30
So, Total charge for gold plan = $50 + $30 = $80
Similarly For Platinum plan
The charge per month = $20
The charge per visit = $6×10 = $60
So, For Platinum plan ,total charge = $20 + $60 = $80
Hence, The number of visit so that both plan cost same is 10
and both the plan has equivalent benefit. Answer
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Step-by-step explanation:
Consider the provided set {2,3,4,6,8,9,10,12}
Let the set is A.
Hence the required Hasse diagram is shown in figure 1:
In the Hasse diagram 2 and 3 are on the same level as they are not related.
The next numbers are 4, 6, 9, and 10. 4, 6 and 10 are divisible by both 2. 6 and 9 are divisible by 3. Then 8 and 12 are divisible by 4 also 12 is divisible by 6.
Hence, the required diagram of the partial order of the set {2,3,4,6,8,9,10,12} is shown in figure 1.
Answer:
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54
Step-by-step explanation:
For this case we assume the following notation:
represent the total paid for the dinner
x represent the amount before adding the tip
f =0.223 represent the fraction of the total amount destined to the tip
Based on this we can create the following relationship between T and x:
And we can solve for x from the previous equation like this:
Taking T common factor we got:
And if we replace we got:
And the amount destined to the tip would be
And if we add the two values we see that:
23.54+6.75 = 30.29 representing the total cost.
So then the correct answer for the question:
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54
Hello!
We are going to use the rectangular prism of the image as a guide:
First of all, the AC segment is calculated using the Pythagoras' theorem:
(A) The surface area of a prism is the sum of the surface areas of each face.
For the 2 triangles ABC and DEF
For the ABEF Rectangle
For the ACDE Rectangle
For the BCDF Rectangle
To finish you need to sum up the areas of each face:
(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows
We are going to use the rectangular prism of the image as a guide:
First of all, the AC segment is calculated using the Pythagoras' theorem:
(A) The surface area of a prism is the sum of the surface areas of each face.
For the 2 triangles ABC and DEF
For the ABEF Rectangle
For the ACDE Rectangle
For the BCDF Rectangle
To finish you need to sum up the areas of each face:
(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows