In order to determine the correct answer, it would be helpful to set up equations. We do as follows:
Let x = students
y = adults
x + y = 215
.50x + 2y = 250
SOlving simultaneously, we have:
x = 120 students
y = 95 adults
Hope this answers the question. Have a nice day.
answer is 2720
solution below
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year.
solving our equation:
A = 2000(1 + (0.045 × 8)) = 2720
A = $2,720.00
the total amount accrued, principal plus interest, from simple interest on a principal of $2,000.00 at a rate of 4.5% per year for 8 years is $2,720.00
The differential equation
is considered exact if (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function such that and .
We have
and , so the equation is indeed exact.
Now, the solution satisfies
Integrating with respect to , we get
and differentiating with respect to , we get
Then the general solution to the exact equation is