Let t=number of years since 1991.
Then
P(t)=147 e^(kt) ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715
Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
Answer:
18a + 12x - 12a + 15x
6a + 27x
the answer is a
Step-by-step explanation:
Answer:
If he spent 20 min. on math and on breaks then he'd spend 20 min. on the essay
Step-by-step explanation:
The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x
At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3
Therefore, required equation is
y = x + √3 - π/3
Answer: Rate of A: 5/6
Rate of B: 3/5
A has a higher rate of change
Step-by-step explanation: You calculate slope/rate of change by determining the rise over the run. The rate of change in A is 5/6x, this is bigger than the slope of B.