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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:
206
Step-by-step explanation:
Answer:
The awnser is A. if you get it worng I'm so sorry
Step-by-step explanation:
Answer:
5√3 miles per hour
Step-by-step explanation:
Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:
(10 mph)(cos(π/3)) = 5 mph
Meanwhile, the component of velocity of rowboat B to the north is ...
(10 mph)(sin(π/3)) = 5√3 mph
Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.
The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.
1/4 (8-6x +12)
8-6 = 2
1/4(2x+12)
1/4 x 2 = .50x
1/4 x 12 = 3
answer = .50x + 3