Answer:
The population is expected to grow by the function p(t)=50e.85t, where t is in years.a) What will be the population in 2015?
Step-by-step explanation:
You'd get 52 dollars back assuming each person pays once 5.5+3+6.5=16×3=48 100-48=52
Alana's total amount of money can be expressed as (total bags raked) x d~
To find the total number of bags raked, you multiply the number of days by the no. of bags raked per day~
This should bring you to the answer--if you need further steps, tell me and I'll guide you through :)
Answer:
The general solution of the equation is y =
+ 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =

3y =
+ 5
dividing through by 3, we have
y =
+ 5
So, the general solution of the equation is y =
+ 5