Answer:
Step-by-step explanation:
multiply .20 with 40
which gets you 8
subtract 8 from 40
which is 32
multiply .05 with 32
which is 1.6
subtract 1.6 from 32 which gets you $30.40
Answer:
P(t) = 2093e^(42t).
Step-by-step explanation:
The population of this town can be modeled by the following differential equation
dP/dt = Pr
where r is the growth rate in people a year.
We can solve this differential equation by the separation of variables method.
dP/P = rdt
Integrating both sides, we have:
ln P = rt + P0
where P0 is the initial population
To isolate P, we do this:
e^(ln P) = e^(rt + P0)
P(t) = P0e^(rt).
We have that the population increases by 42 people a year, so r = 42. We also have that the population at time t = 0 is 2093 people, so P0 = 2093.
So the formula for the population, P, of the town as a function of year t is P(t) = 2093e^(42t).
Step-by-step explanation:
Volume of cube = 6 × 6 × 6 cm³
= 216 cm³
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
Ok, so to so to find gradient with two coordinates you can use this formulae.. m=y2-y1 over x2-x1. Example A=(4,3) and Q(8,5) 4 would be x1, 3 would be y1 , 8 would be x2 and 5 would be y2 put them in the formulae and work it out. its pretty easy after you put them in :)