9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
C1000÷ct=w
you pretty much ×1000 and then ÷t and c
It’s C because the y-intercept is where the point intersects on the y-axis and the slope goes up one and over 2 to the left making it negative
Slope is 4/5
The equation is Y = mx + b
M represent the slope
In your equation, 4/5 is the slope.
Answer:
The price elasticity of demand is 0
Step-by-step explanation:
The demand function for monthly sales is given as:
q = 104e^-3p^2 + p
The price elasticity of demand E is obtained by differentiating q with respect to p
E = dq/dp = (-6p + 1) × 104e^-3p^2 +p =
When p = ¥200
E = (-6×200 + 1) × 104e^-3(200)^2 + 200 = -1199 × 104(0) = -1199 × 0 = 0
