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SSSSS [86.1K]
3 years ago
9

An element with a mass of 970 g decays by 15.1% per minute how much of the element remaining after 14 minutes

Mathematics
2 answers:
vazorg [7]3 years ago
8 0

Answer:

The answer is  98.1

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 970

r=rate = 15.1%=0.151

Exponential Decay:

b=1-r=1-0.151=0.849

Write Exponential Function:

y=970(0.849)^x

Plug in time for x:

y=970(0.849)^{14}

y= 98.05718

Evaluate

y≈98.1

Amanda [17]3 years ago
3 0
The amount of the element remaining (y) in grams after time (t) in minutes is defined by the equation y=970(1-.151)^t. Substitute t=14 into the equation and solve for y. y=970(.849)^14=98.06 rounded to two decimal places.
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