EricsonZ251159 EricsonZ251159
  • 25-10-2022
  • Mathematics
contestada

Finding the final amount in a word problem on continuous exponential growth or decay

Finding the final amount in a word problem on continuous exponential growth or decay class=

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DeklinA202774 DeklinA202774
  • 25-10-2022

Given:

The mass of radioactive follows an exponential decay model

The initial mass = 418 kg

Decreases at a rate = r = 4% per day

So, the general formula for the mass will be:

[tex]m=418\cdot(1-0.04)^d[/tex]

where: (m) is the mass after (d) days

So, to find the mass after 2 days, we will substitute with d = 2

so,

[tex]m=418\cdot(1-0.04)^2=418\cdot0.96^2=385.2288[/tex]

rounding to the nearest tenth

so, the answer will be mass after 2 days = 385.2 kg

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