The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.

Nine more than four times a number is the same as one less than twice the number. find the number?

Find the maximum value of p= 4x + 5y subject to the following constraints :

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.