I personally am having trouble with this exact same question only with different numbers.
I have found so far, the equations:
m*a[x] = F[applied]*cos(Θ) - force of friction.
m*a[y] = F[normal] - F[gravity] - F[applied]*sin(Θ)
and
m*a = F[applied]*cos(Θ) - mu *(m*g + F[applied]*sin(Θ))...