Exponential decay

[static otter]

The weight of radioactive material in an ore sample after t years is given by
W = 2.3 x 0.96^t grams.
Find the percentage weight loss in the first 20 years.

[static otter]

So to find weight for 20 years 2.3x0.96^20

But how to find the percentage

[static otter]

Which is 1.01

[young storm]

W(20)/W(0)

[young storm]

divide this by W(0) = 2.3x0.96^0

[static otter]

1.01/2.3

Shouldnt we subtract 2.3-1.01 first?

[young storm]

this will give you the percentage cut

like what is 1.01 of 2.3

[static otter]

0.43

43%

But the key answer says 55.8%

[young storm]

,w 1-(2.3x0.96^20)/2.3

[viral wind]

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Requested by adoniszgks

[young storm]

subtract that from 1

[static otter]

THANKS

[viral wind]

𝔸dωn𝓲²s

[static otter]

Thankssss

[young storm]

The loss would be 2.3 - 1.016

ok

[hushed crater]

If you are done with this channel, please mark your problem as solved by typing .close

[twin bramble]

.solved