Answer:
0.54
Step-by-step explanation:
1.2/100*45
Remember that -csc^2(x) is a known derivative; it is the derivative of cot(x).
<span>Keeping that in mind, let's put a negative there, and then offset it with another negative, which can conveniently be placed outside of the integral. </span>
<span>(-1) Integral ( -csc^2(x) dx ) </span>
<span>Which evaluates to </span>
<span>(-1) cot(x) + C </span>
<span>-cot(x) + C</span>
P = A.e^(r.t) is the population growth formula, where A is the initial population in a given year, exponent "r" =growth rate and exponent t = time
A₍₁₉₉₅₎ = 184 Mil. after t = 7 years, P₍₂₀₀₂₎ = 188 Mil
Let's calculate te growth rate:
P₍₂₀₀₂₎ = A₍₁₉₉₅₎.e^rt
188 = 184.e(^7r)
188/184 = e^(7r)
ln(188/184) = 7.r.lne
0.0215 = 7.r and r = 0.0030 = 0.3%
Population in 2006
P₍₂₀₀₆₎ = P₍₂₀₀₂₎.e⁽⁰.⁰⁰³ˣ⁴
P₍₂₀₀₆₎ = 188.e⁰.⁰¹² = 190.2 Mil
Step by step:
Each day it takes a sample of 15 pies - on Monday he needed 4:
4/15 = x/450 (450 being the total for each day)
4 x 450 = 1800
1800 divided by 15 = 120
120 is the amount of pies that were made on Monday
Hope this helps
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