
Samantha S.
asked 12/12/22Don't know what formula to use Need Help please
The mass, 𝑀, (measured in grams) of radioactive substance remaining after 𝑦 years is given by:
𝑀 = 1400𝑒−0.03𝑦
- Find the mass remaining after 10 years.
- Find the time taken for the mass to reach 10% of its original value. Present your answer to the nearest month.
- Find the rate of change in the mass after 100 years.
1 Expert Answer
1) plug in y = 10 into the expression M = 1400e-.03y
2) 1400 is the initial mass (as you can see by subbing y = 0 in)
M/1400 = e-.03y You want to solve for y given M/1400 = .1
Take ln of both sides: ln(.1) = -.03y and y = ln(.1)/(-.03)
3) Rate of change of M is dM/dy
dM/dy = -.03(1400)e-.03y (sub in y = 100 years)
Please consider a tutor. Take care.
Still looking for help? Get the right answer, fast.
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Mark M.
Well not the formula you wrote! Should the -0.03y be an exponent?12/12/22