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
vichka [17]
3 years ago
7

sheilas cell phone plan consists of a monthly rate and a fee for each minute she talks over 500 minutes per month. Her july bill

showed 630 minutes and a total charge of $53.55. Her august bill showed 709 minutes of use and a total charge of $63.03. what is the monthly rate and how much is she being charged for her extra minutes?
Mathematics
1 answer:
tatuchka [14]3 years ago
7 0
First of all we need to formulate two equations.

x = monthly fee per minute
y = monthly fee per minute over 500

500x + 130y = $53.55
500x + 209y = $63.03

Since we know that 500x = $53.55 - 130y we can substitute.

($53.55 - 130y) + 209y = $63.03
79y = 9.48
y = $0.12

Now we can substitute y into the other equation.

500x = $53.55 - 130(0.12)
500x = $53.55 - $15.6
500x = $37.95

So the answer is $37.95 monthly for 500 minutes with an over quota fee of $0.12 per minute.
You might be interested in
This is a substitution problem
mrs_skeptik [129]

They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room

<h3>System of equation</h3>

They consists of equations and unknown variables

Let the number of PCs be x

Let the number of Mac be y

If Mke has 12 computers, then;

x + y = 12

If there are two Macs for every PC in his classroom, then;

y = 2x

Substitute

x + 2x = 12

3x = 12

x = 4

Recall y = 2x

y = 2(4)

y = 8

There are 4 PCs and 8 Mac in the room

Learn more on system of equations here; brainly.com/question/14323743

#SPJ2

6 0
2 years ago
Read 2 more answers
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


6 0
3 years ago
What is the area of the rectangle, in square feet?<br> 29<br> 58<br> 120<br> 180
Fittoniya [83]

Answer:

180

Step-by-step explanation:

Base x Height

So 9 x 20 to get 180

3 0
2 years ago
Read 2 more answers
Which of the binomials below is a factor of this trinomial?<br><br> x2 + 8x + 16
Gre4nikov [31]
X^2 + 8x + 16 =
(x + 4)(x + 4) or (x + 4)^2
4 0
3 years ago
Write y=2x+3 using function notation
Travka [436]
F(x)=2x+3. easy as that, just replace y with f(x)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following sets could not represent the sides of a triangle? {3, 4, 5} {2, 2, 4} {3, 3, 5}
    5·2 answers
  • What is the equation of the parabola ? <br><br> It’s minimum is at (3,-5) and y intercept of -2
    15·1 answer
  • Please help me this is hard
    9·2 answers
  • You have been tasked to carry out a study assessing weight and exercise. You enroll 100 participants and weigh them all. You ran
    6·1 answer
  • Use the pythagorean theorem
    11·1 answer
  • Marco wants to create a new circle using gx as a radias. What will be the area of marcos new circle ?
    14·2 answers
  • What is the area of this circle?
    7·1 answer
  • What is the solution to this equation?
    13·1 answer
  • line segmant that shows the scale to the nearest tenth of a centimeter. express the scale of the drawing using numbers​
    7·1 answer
  • Compute the fare without tip: 4 passengers, 20 miles.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!