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blagie [28]
3 years ago
12

The price of gas is $2.15 / gallon today. Last week it was $2.55 for a gallon of gas. What was the percent change in the price?

Mathematics
1 answer:
pickupchik [31]3 years ago
5 0

Answer:

15.69% decrease

Step-by-step explanation:

To find the percent change, we take the original price and subtract the new price

2.55 -2.15 = .40

Divide by the original price

.40/2.55

.156862745

Multiply by 100%

15.6862745 %

Since the price went down, this is a decrease

15.69% decrease

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The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

S_{\infty}=\frac{a}{1-r}

Where

\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\  \\ a\text{ is the first term = 1} \\  \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}

So, this becomes

\begin{gathered} S_{\infty}=\frac{a}{1-r} \\  \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\  \\ S_{\infty}=3 \end{gathered}

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The length of the rectangle is = 72 cm

The width of the rectangle is = 56 cm

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