Suppose that your goal is to have $1,000,000 in your retirement account when you retire. You don’t have a fixed idea of when you will retire, but decide to save $100 of each weekly paycheck automatically deducted and deposited in the retirement account. The account earns 6.5% annual interest, compounded weekly. In about how many years will the value of the investment reach $1 million? Show your work and round your answer off to the nearest year.

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

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.

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³