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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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Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
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A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
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3 years ago
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melisa1 [442]

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Step-by-step explanation:

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2 years ago
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