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Answer:
a) P(t) = 6.29e^(0.0241t)
b) P(6) ≈ 7.3 million
c) 10 years
d) 28.8 years
Step-by-step explanation:
a) You have written the equation.
P(t) = 6.29·e^(0.0241·t)
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b) 2018 is 6 years after 2012.
P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million
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c) We want t for ...
8 = 6.29·e^(0.0241t)
ln(8/6.29) = 0.0241t
t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years
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d) Along the same lines as the calculation in part (c), doubling time is ...
t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years
Answer:
Step-by-step explanation:
If you want to make

into a perfect square binomial, take half the linear term, square it, then add it to both sides. Our linear term is 12. Half of 12 is 6, and 6 squared is 36.
The value that makes this a perfect square binomial is 36.
Writing the expression as a square of the binomial is:

Answer:
x=8
Step-by-step explanation:
Answer:
y=−x+573, x+y=573
Step-by-step explanation:
Answer:
X=-52
Step-by-step explanation:
-4(X+10)-6=-3(x-2)
-4x-40-6=-3x+6
-4x+3x=6+46
-x=52
X=-52