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Liono4ka [1.6K]
2 years ago
5

The decay of 277 mg of an isotope is described by the function A(t)= 277e-0.019t, where t is time in years. Find the amount left

after 64 years. Round your answer to the nearest mg.
Mathematics
1 answer:
UNO [17]2 years ago
4 0
<span>The decay of 277 mg of an isotope is described by the function
A(t)= 277e-0.019t,
where t is time in years.
To find the amount left after 64 years,

We substitute t = 64 in the expression.
</span>A(t=64)= 277e-0.019(64)
or A(t=64) = 277 * e-1.216
                 = 277 * 0.29
                 = 82 mg 
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3
(
x
−
1
)
=
5
x
+
3
−
2
x
(
3
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(
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=
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x
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5
x
+
3
+
−
2
x
3
x
−
3
=
(
5
x
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−
2
x
)
+
(
3
)
(Combine Like Terms)
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x
−
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=
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3
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−
3
=
3
x
+
3
Step 2: Subtract 3x from both sides.
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x
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3
−
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x
=
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x
+
3
−
3
x
−
3
=
3
Step 3: Add 3 to both sides.
−
3
+
3
=
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+
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0
=
6
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