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Fittoniya [83]
3 years ago
7

the ez pay plan costs $0.15 per minute. write an expression that represents the monthly bill for x minutes on the ez pay plan

Mathematics
2 answers:
Neporo4naja [7]3 years ago
8 0

we are given

The ez pay plan costs $0.15 per minute

so, cost is $0.15 per minutes

we have

x minutes on the ez pay plan

so, time for plan is x minutes

total bill = cost * time for plan

now, we can plug values

we get

total bill = $0.15x..............Answer

IrinaK [193]3 years ago
4 0

Answer:

The required expression that represents the monthly bill for x minutes on the ez pay plan is y=0.15x.

Step-by-step explanation:

Consider the provided information.

The ez pay plan costs $0.15 per minute.

Let x represents the number of minutes and y represents the monthly bill.

If it cost $0.15 per minute then for x number of minutes ez pay $0.15x

Which can be written as:

y=0.15x

Hence, the required expression that represents the monthly bill for x minutes on the ez pay plan is y=0.15x.

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Answer:

P(t)=3,000,000-3,000,000e^{0.0138t}

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

P'(t)=K(3,000,000-P(t))

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

<em>P(0) = 0 and P(50) = 1,500,000 </em>

We have and ordinary differential equation of first order that we can write

P'(t)+KP(t)= 3,000,000K

The <em>integrating factor </em>is

e^{Kt}

Multiplying both sides of the equation by the integrating factor

e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K

Hence

(e^{Kt}P(t))'=3,000,000Ke^{Kt}

Integrating both sides

e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C

e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C

P(t)=3,000,000+Ce^{-Kt}

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138

And the equation that models the number of people (in millions) who become aware of the product by time t is

P(t)=3,000,000-3,000,000e^{0.0138t}

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3 years ago
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Triss [41]
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207,048 is the answer :)
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3 years ago
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Yara multiplies and divides a certain number by the same
Butoxors [25]

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004

From the first equation we have:

10 ^ y = \frac {40,000} {x}

Substituting in the second equation:

\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}

We choose the positive value:

x = 0.4

So, the number is 0.4.

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10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5

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8 0
3 years ago
12. A drawer contains 2 red socks, 6 white socks,
777dan777 [17]

Answer:

Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Step-by-step explanation:

Number of red socks = 2

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The formula used to calculate probability is: Probability=\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of  \ outcomes}

We are given you draw out a  sock, return it, and draw out a second sock.

We need to find the probability that the first sock is blue and the  second sock is red?

Using formula:

Probability that first sock is blue = 4/12 = 1/3 = 0.33

Probability that second sock is red = 2/12 = 1/6 = 0.16

So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

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