Consider the initial value problem y″+9y=g(t),y(0)=0,y′(0)=0, where g(t)={t0 if 0 ≤ t <2 if 2 ≤ t < [infinity]. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s).

Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+27x-18=0

Ernest is purchasing a $175,000 home with a 30-year mortgage. he will make a $15,000 down payment. use the table below to find his monthly pmi payment.

If your annual gross income is $62,000 and you have one monthly car payment of $335 and a monthly student loan payment of $225, what is the maximum house payment you can afford. consider a standard 28% front-end ratio and a 36% back-end ratio. also, to complete your calculation, the annual property tax will be $3,600 and the annual homeowner's premium will be $360.