Answer: The third one
Step-by-step explanation: I just did the question on edge. ,and I got it right.
We find the value of N₀ since we are provided with initial conditions.
The condition is that, at time t = 0, the amount of substance contains originally 10 grams.
We substitute:
10 = N₀ (e^(-0.1356)*0)
10 = N₀ (e^0)
N₀ = 10
When the substance is in half-life (meaning, the half of the original amount), it contains 5 grams. We solve t in this case.
5 = 10 e^(-0.1356*t)
0.5 = e^(-0.1356*t)
Multiply natural logarithms on both sides to bring down t.
ln(0.5) = -0.1356*t
Hence,
t = -(ln(0.5))/0.1356
t ≈ 5.11 days (ANSWER)
Answer:
Its ]-infinity,+infinity[ for both domain and range
Step-by-step explanation:
Answer:
Equilibrium price P = 200 dollars
equilibrium demand of million e-readers per yer = 2.6 mi/yr
Step-by-step explanation:
Given that;
q = 720/p - 1 million units per year { 60 ≤ p ≤ 400 }
supply q = 0.018p − 1 million units per year (60 ≤ p ≤ 400)
we substitute
720/p - 1 = 0.018p − 1
720/p = 0.018p
720 = 0.018p^2
p^2 = 720/0.018 = 40000
p = sqrt(40000)
p = 200
substitute value of p
q = 0.018(200) − 1
q = 3.6 - 1 = 2.6
Therefore Equilibrium price P = 200 dollars
equilibrium demand of million e-readers per yer = 2.6 mi/yr
#3. For each hour worked, the employee makes $15/hour. This is true for every hour he works, so if he works for 4 hours he will make $60.
#4. For every second, the hot air balloon increases height by 5 feet.
#5. X&Y are proportional because for every hour, 5 feet are gained. Thus, after 7 hours, 35 feet are gained.
Thats all i have time to do right now. Good luck :)
