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Monica [59]
3 years ago
6

The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0

Answer:

I believe the answer will be 50+100n dollars

Step-by-step explanation:

<em>n </em>is the number of cavities so however many cavities there is, it gets multiplied by 100, in this case, it is 100*n which is 100n. So your final cost would be 50+100n dollars.

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Can someone please help me with 1 and 2 :)
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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …
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Let

a1=768\\a2=480\\a3=300\\a4=187.5

Step 1

Find \frac{a2}{a1}

\frac{a2}{a1} =\frac{480}{768}

Divide by 96 numerator and denominator

\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\   \\ \frac{480}{768}=\frac{5}{8}

a2=a1*\frac{5}{8}

Step 2

Find \frac{a3}{a2}

\frac{a3}{a2} =\frac{300}{480}

Divide by 60 numerator and denominator

\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\   \\  \frac{300}{480}=\frac{5}{8}

a3=a2*\frac{5}{8}

Step 3

Find \frac{a4}{a3}

a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}

\frac{a4}{a3} =\frac{\frac{375}{2}}{300}  \\ \\  \frac{a4}{a3} =\frac{375}{600}

Divide by 75 numerator and denominator

\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\   \\ \frac{375}{600}=\frac{5}{8}

a4=a3*\frac{5}{8}

In this problem

The geometric sequence formula is equal to

a(n+1)=a(n)*\frac{5}{8}\\

For n\geq 1

therefore

the answer is

the common ratio for the geometric sequence above is \frac{5}{8}



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