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Question #334199
Nate is culturing bacteria that have a growth rate of 10% per hour. If the current population is 12,800 bacteria, how many bacteria will there be in 8 hours?
Expert's answer
N
(
t
)
=
N
0
(
1
+
r
)
t
N(t)=N_0(1+r)^{t}
N
(
t
)
=
N
0
(
1
+
r
)
t
Given
N
0
=
12800
,
r
=
0.1
N_0=12800, r=0.1
N
0
=
12800
,
r
=
0.1
N
(
8
)
=
12800
(
1
+
0.1
)
8
=
27438
N(8)=12800(1+0.1)^{8}=27438
N
(
8
)
=
12800
(
1
+
0.1
)
8
=
27438
27438 bacteria
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