Acarpenter has several boards of equal length. he cuts 3/5 of each board. after cutting the boards, the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original boards. how many boards did the carpenter start with?

The depth of a lake at a certain point, wich is a function of the distance of that point from shore, is 30 feet.

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

Bernice paid $162 in interest on a loan of $1800 borrowed at 6%. how long did it take her to pay the loan off?