The solution for this problem is:
dV/dt = r/(t + 1)², V(0) = $500000, V(1) = $500000 - $200000 = $300000
∫dV = r∫ 1/(t + 1)² dt
V(t) = -r/(t + 1) + C
500000 = -r/(0 + 1) + C
400000 = -r/(1 + 1) + C
C = 300000, r = -100000
V(t) = 100000/(t + 1) + 300000
V(6) = 100000/(6+ 1) + 300000
V(6) = 14285.7143 + 300000
V(6) = $314285.71
Answer:
3.25 seconds.
Step-by-step explanation:
We can use the formula <em>Final Velocity = Initial Velocity + Acceleration * Time </em> to solve this problem.
First, we plug in the values we already know, and then we solve like normal:
1.5 = 0.2 + 0.4*t
1.3 = 0.4 * t
3.25 = t
Therefore, the mosquito accelerated for 3.25 seconds.
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Answer:
the answer is 251.33
Step-by-step explanation:
PI*4^2*5=251.33
