Answer:
d. The amount of people in a town increase by 50 people every 5 years.
Step-by-step explanation:
this is because if you were to graph it, it would be a straight line while the other options the line would be curved.
Answer:
178.67
Step-by-step explanation:
One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.
If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.
You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.
Y = 4x - 7 is a line with a slope of 4 and y-intercept of -7.
plug in any X value, for example 1 and you get the following
y = 4(1) - 7
y = -3
(1,-3) is a point that satisfies the equation y = 4x - 7
Answer:
x(15) = 21 lb
Step-by-step explanation:
Rate of change in volume of salt water solution = rate of volume incoming - rate of volume outgoing
dV/dt = 4 - 2 =2gal/min
So, the equation for volume at cetain time t at given conditions and values becomes,
V(t) = 2t + V
V(t) = 2t + 20 gal-------------------euqation (1)
Rate of change in amount of salt = rate of salt in - rate of salt out
dx/dt = {0.5*4} - {[x(t)/V(t)]*2}
dx/dt = 2-2[(x(t))/(2t+20)]
dx/dt = 2-[(x(t))/(v(t))] lb/min
Now, with integrating factor, we get
exp[∫(1/(1+10))dt)] = t+10
the equation becomes
(t + 10)*x' + x = 2*(t+10)
((t+10)*x') = 2*(t+10)
(t+10)*x = t² + 20t + C
As x(0) = 0,
x(t) = (t²+20t)/(t+10)
x(15) = (15²+20*15)/(15+10)
x(15) = 21 lb
