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iVinArrow [24]
3 years ago
9

Last year a large trucking company delivered 5.5 x 10^5 tons of goods with an average value of $23,000 per ton. What was the tot

al value of the goods delivered? Write the answer in scientific notation.
Mathematics
1 answer:
evablogger [386]3 years ago
8 0
<span>5.5*10^5 = 550,000 tons

</span><span>$23,000 per ton 
</span>
23,000 x 550,000 = <span>$12,650,000,000 (total value)

</span>Now to convert to scientific notation.

<span>1.265 x 10^10
</span>
Hope that was useful :)
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Answer:

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b). T_{t}=500\times 4^{t}

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

T_{n}=ar^{n}

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

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Or gets 4 times after an hour

This sequence will have a common ratio r = 4

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Therefore, population of the bacteria after 3 hours will be

T_{3}=500\times 4^{3}

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T_{t}=500\times 4^{t}

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of \frac{2}{3} hours

By the formula,

T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}

T_{\frac{2}{3}}=1259.92 ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

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