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Volgvan
3 years ago
9

Customers of a phone company can choose between two service plans for long distance calls. The first plan has no monthly fee but

charges
$0.11
for each minute of calls. The second plan has a
$24
monthly fee and charges an additional
$0.07
for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Mathematics
1 answer:
fredd [130]3 years ago
8 0
I think it is 600 minutes
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Simplify completely 12 times x to the third power minus 4 times x to the 2nd power plus 8 times x all over negative 2 times x
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I need some help with this problem​
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Check mine please and thank you
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4 years ago
Read 2 more answers
Got a calc 1 question,
belka [17]

v=\dfrac h{3x}\implies\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\frac{\mathrm dh}{\mathrm dt}-3h\frac{\mathrm dx}{\mathrm dt}}{3x^2}

By the chain rule,

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{\mathrm dh}{\mathrm dx}\dfrac{\mathrm dx}{\mathrm dt}

We have

h(x)=4e^{2x-6}-x^2+5\implies\dfrac{\mathrm dh}{\mathrm dx}=8e^{2x-6}-2x

and we're given that x changes at a constant rate of \frac{\mathrm dx}{\mathrm dt}=0.2 thousand people per minute, which means

\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\left(8e^{2x-6}-2x\right)\left(0.2\frac{\text{thousand people}}{\rm min}\right)-3h\left(0.2\frac{\text{thousand people}}{\rm min}\right)}{3x^2}

At the moment x=4 thousand people are in the park, we have h(4)=4e^2-11, so we find

\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{12\left(8e^2-8\right)-3(4e^2-11)}{240}\dfrac{\text{thousand people}}{\rm min}=\dfrac{7(4e^2-3)}{80}\dfrac{\text{thousand people}}{\rm min}

or approximately 2.324 thousand people per minute.

5 0
4 years ago
The British Queen is to receive 4 foreign dignitaries. The digni- taries are sensitive to the order in which they are received.
Readme [11.4K]

Answer:

Number of Ways = ₄P₄ = 24

Step-by-step explanation:

Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.

i.e

Number of Ways = ₄P₄ = 24

4 0
4 years ago
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