A radioactive compound with mass 470 grams decays at a rate of 3% per hour. Which
1 answer:
After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
<h3>What is exponential decay?</h3>During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We know the decay can be as:
We have:
a = 470 grams
r = 3% = 0.03
t = 6 hours
C = 391.49 grams
Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
Learn more about the exponential decay here:
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It costs $ 3.4 to fill the hot tub
<h3><u>Solution:</u></h3>Given that, You are putting a rectangular hot tub on your back porch
The rectangular hot tub is of shape cuboid
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It is 6 feet long, 5 feet wide, and 3 feet deep
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length = 6 feet
width = 5 feet
height = 3 feet
<em><u>Thus volume of rectangular hot tub is:</u></em>
Thus volume of rectangular tub is
Convert feet to gallons
We know that,
1 cubic feet = 7.48052 gallon
Therefore,
90 cubic feet = 7.48052 x 90 = 673.247
Thus gallons of water tub can hold is 673.247 gallons
Given that it costs $ 5 per 1000 gallons
1000 gallons = $ 5
Therefore,
1 gallons = $
<em><u>Find for 673.247 gallons</u></em>
673.247 gallons =
Thus it costs $ 3.4 to fill the hot tub