An internet service provider is implementing a new program based on the number of connected devices in each household. Currently
, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.
2 answers:
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
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Amount in the bank account = $1850
Monthly payment of can loan = $400.73
To find:
When would automatic payments make the value of the account zero?
Solution:
Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.
On dividing the amount by monthly payment, we get
It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.
Therefore, the 5th automatic payments make the value of the account zero.
Answer:
1)D
2)D
3)A
4)B
5)Cannot Answer - No data
6)C
7)C
6 Questions answered for 30 points.
Step-by-step explanation:
Answer for the 1st Question,
Area of a cylinder can be calculated by,
Area of the cylindrical part =
Area of the parts that cover the open parts of cylinder =
Therefor Total are of the cylinder =
Area of the total cylinder =
=
<u>Therefor best estimate will be D) 923 in^2</u>
Answer for the 2nd Question,
ABC is a triangle.
By Pythagorean theorem it says,
The distance from A to C = 6
The distance from C to B = 5
Therefor
<u>Therefor Answer is D) Sqr 61</u>
Answer to Question 3
To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)
Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.
Area of the Store 1 =
Area of the Store 2=
Therefore Revenue from Store 1 = $8250
Revenue from Store 2 = $4400
<u>Answer is A) Store 1 has more sales revenue</u>
Answer for Question 4
You can straight away discard answer D because it is less than both 5/12 and 5/11.
Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)
, therefor this is not in between those two numbers.
Then it has to be
<u>Answer is B)</u>
Answer for question 6
The equation of a straight line is of the form
here m is the gradient and c is the intercept.
Find the intercept(c) by finding the y value when x value is 0, here it is +1.
Gradient (m) of the graph can be found by,
Therefor the equation of the graph is,
<u>Answer is C</u>
Answer for question 7
We can discard answer A because the value is close to 0.5
We can discard answer B because 3/17 is a very small value (0.17)
, This falls between the above 2 numbers.
<u>Therefor answer is C</u>
Answer:
18(p-2)
Step-by-step explanation:
We want to factor
We know that the greatest common factor is 18.
So we can rewrite to obtain:
We factor the GCF to obtain:
Therefore
Therefore the equivalent expression to 18p-36 is 18(p-2)