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Alborosie
3 years ago
5

A sample of a radioactive isotope had an initial mass of 540 mg in the year 1991 and decays exponentially over time. A measureme

nt in the year 1996 found that the sample's mass had decayed to 420 mg. What would be the expected mass of the sample in the year 2000, to the nearest whole number?
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
7 0

Answer: 334

Step-by-step explanation:

Doss [256]3 years ago
5 0

Answer:

Y=200 (1-0.044)^t

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Korvikt [17]
Basically you're solving for both variables here.
I prefer elimination method so that is what I used.
I started off by multiplying each equation in order to get one of the variables at the same value so it would be possible to cancel it out.
Multiplying the first equation by 3 gave me,
12x + 15y = 69
Then I multiplied the second equation by 4,
-12x + 28y = -56
As you can see, it's not possible to cancel out the x variable.
12x + 15y = 69
+(-12x + 28y = -56)
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13y = 13
Then just solve for y which gives you -1.
After you have one variable solved simply insert it into one of the original equations to find the other variable.
4x + 5(-1) = 23
4x - 5 = 23
4x = 28
x = 7.
And there you have it! Hope this helped!

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3 years ago
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Step-by-step explanation:

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