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Daniel [21]
3 years ago
5

Sandy is upgrading her Internet service. Fast Internet charges $40 for installation and $52.45 per month.

Mathematics
1 answer:
Orlov [11]3 years ago
7 0

Answer:

After 8 months of internet use both the connection will cost the same.

Step-by-step explanation:

Fast Internet charges $40 for installation and $52.45 per month.

So, the total cost after using x months of the internet in Fast Internet will be  

C = 40 + 52.45x

Quick Internet has free installation but charges $57.45 per month.

So, the total cost after using x months of the internet in Quick Internet will be

C = 57.45x

Now, if those two cost are same then

40 + 52.45x = 57.45x

⇒ 5x = 40

⇒ x = 8

Therefore, after 8 months of internet use both the connection will cost the same. (Answer)

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sin^2 x + 4 sinx +3       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


factor the numerator


(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


cos^2 = 1-sin^2x

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

1- sin^2x                       1 - sinx

factor the denominator

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

(1-sinx ) (1+sinx)                   1 - sinx

cancel the common term (1+sinx)  and (sinx +1)

(sinx +3)                       3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx


reorder the first term

3+sinx                           3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx

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