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Cloud [144]
3 years ago
15

The students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. They sold 42 tins in the first

week. How much money did they make in the first week? Each tin of popcorn cost $9.25.
Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

$388.5

Step-by-step explanation:

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What's 2⁄3 written as a fraction with a denominator of 9? A. 2⁄9 B. 9⁄9 C. 3⁄9 D. 6⁄9
sdas [7]
Hey there!

Mutliply numerator/denominator  by 3

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element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample
pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that A(21) = 0.5A(0). We use this to find r, the percentage rate of decay per year.

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{21}

(1-r)^{21} = 0.5

\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}

1 - r = 0.5^{\frac{1}{21}}

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r = 1 - 0.9675 = 0.0325

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that A(0) = 80

The equation is:

A(t) = A(0)(1-r)^t

A(t) = 80(1-0.0325)^t

A(t) = 80(0.9675)^t

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

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3 years ago
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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