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GrogVix [38]
4 years ago
6

Your phone plan charges you initial fee and then a certain amount depending on the amount of data you use they send you periodic

updates of your usage and your current bill cost after using 3gb of data you owe $30after 5Gbof data you owe $40 what is the cost per gun of data
Mathematics
2 answers:
Ber [7]4 years ago
6 0

Answer: Cost per gb of data = y = $5.

Step-by-step explanation:

Let the initial fee be 'x'.

Let the fees depending on the amount of data he use be 'y'.

After using 3 GB of data , he owes $30.

After using 5 GB of data , he owes $40.

According to question, our equations would be

x+3y=\$30--------(1)\\\\x+5y=\$40------(2)

So, Using elimination method , we get that

x+3y=\$30\\\\x+5y=\$40\\\\----------------------------------------\\\\-2y=-10\\\\y=\dfrac{10}{2}\\\\y=\$5

Hence, Cost per gb of data = y = $5.

Genrish500 [490]4 years ago
3 0
The cost per data would be 10 dollors
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Harrizon [31]

Solution:

Let the original number be  x .

As per the problem I took a number, wrote a 9 to the right of it,

So we have  x9

Again  added the doubled original number to the result.

x9+2x

The resulting sum is 633. so we can write

x9+2x=633\\
\\
x*10+9*1+2x=633\\
\\  10x+2x=633-9\\
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12x=624\\
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x=52

Hence the original number is 52.

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Step-by-step explanation:

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3 years ago
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Determine the point on the hyperbola −3x2+2y2=10 closest to the point (4, 0).
umka2103 [35]
-3x^2 + 2y^2 = 10
2y^2 = 10 + 3x^2
y^2 = 5 + 3/2x^2

distance between two points is given by
d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((x - 4)^2 + (y - 0)^2) = sqrt((x - 4)^2 + y^2) = sqrt((x - 4)^2 + 5 + 3/2x^2)
For d to be minimum (closest), dd/dx = 0
(2(x - 4) + 3x)/2sqrt((x - 4)^2 + 5 + 3/2x^2) = 0
2(x - 4) + 3x = 0
2x - 8 + 3x = 0
5x = 8
x = 8/5 = 1.6

y^2 = 5 + 3/2(1.6)^2 = 5 + 3/2(2.56) = 221/25
y = sqrt(221/25) = 2.97

Therefore, the required point is (1.6, 2.97)
6 0
3 years ago
The ratio of the measures of the angles of a triangle is 6:2:7. Find the measure of the largest angle.
VLD [36.1K]

Answer:

Step-by-step explanation:

6x + 2x + 7x = 180                  Every triangle has a measure of 180o

15x = 180                                 Divide by 15

x = 180/15

x = 12

The longest side will be 7x

7*12 = 84

3 0
4 years ago
The number of users on a website is 630 and is growing exponentially at a rate of 76% per year. Write a function to represent th
Dafna1 [17]

The exponential function that represents the number of users on the website after t is given by:

A(t) = 630(1.76)^t

The daily rate of change is of 20.82%.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 630, r = 0.76

Hence the equation that represents the number of users on the website after t is given by:

A(t) = 630(1.76)^t

An year has 365 days, hence the rate of change per day is given by:

76/365 = 0.2082 = 20.82%.

The daily rate of change is of 20.82%.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
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