MATH SOLVE

4 months ago

Q:
# An element with mass 570 grams decays by 26.9% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram?

Accepted Solution

A:

Answer:7.1Step-by-step explanation:Exponential Functions:
y=ab^x
y=ab x
a=\text{starting value = }570
a=starting value = 570
r=\text{rate = }26.9\% = 0.269
r=rate = 26.9%=0.269
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.269=0.731
b=1−r=1−0.269=0.731
\text{Write Exponential Function:}
Write Exponential Function:
y=570(0.731)^x
y=570(0.731) x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=570(0.731)^{14}
y=570(0.731) 14
y= 7.091174
y=7.091174
Evaluate
y\approx 7.1
y≈7.1
round