Step-by-step explanation:
A. D(t) = -25t + 160
this is the correct answer because if you substitute 3 you get 85
Divide both sides by 0.32 and you'll get the value for c
dy/dx = 2xy
dy/y = (2x)dx
INT(1/y)dy = INT(2x)dx
ln y + c = x^2 + d
ln y = x^2 + constant
y = e^(x^2 + constant)
1 = e^constant ... so constant=0 ... so y = e^(x^2)
Verification:
y = e^(x^2)
dy/dx = 2x*e^(x^2) = 2xy
<span>and e^(0^2) = e^0 = 1
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Answer:
d=60-degree (Vertically opposite angles)
e=d=60-degree (Alternate angles)
e+g=180-degree (Being in a straight line)
60+g=180
g=180-60
g=120-degree
Answer: After 7 years the population will be one-half the initial amount.
Step-by-step explanation:
Given: Initial population = 500,000
The population declines according to the equation:
, where P is the population in t years later.
One-half the initial amount = 0.5 x 500,000
= 250,000
Put P(t)=250,000, we get
Hence, After 7 years the population will be one-half the initial amount.
