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Slav-nsk [51]
3 years ago
11

Sam is collecting pennies. On the first day of the month, Samnis given 16 pennies. Each day after that he gets 4 more pennies. W

hich of the following equations defines how many pennies he has after the nth day?
A. an = 16n + 4
B. an = 4n + 16
C. an = 4n + 16
D. an = 64n - 64​
Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

The answer is 4n + 16

Step-by-step explanation:

N is the number of days that pass by. Each day Sam gets 4 more, meaning you would multiply the number of days by 4, before adding that number to the original number of pennies, which was 16.

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\bf % template detailing
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
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\bf \bullet \textit{ vertical shift by }{{  D}}\\
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now, with that template in mind, let's see

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

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Point:

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Convert the equation:

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Coordinates of the point:

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substitute:

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4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

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