The Length, X, of the Side of a Cube with Volume

question 24

Short Answer

The length, x, of the side of a cube with volume V is given by $x(V)=V^{1 / 3}$
.Is the average rate of change of x with respect to V increasing or decreasing as the volume V decreases?

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Definitions:

Compounded Monthly

Interest calculation method where interest is added to the principal balance monthly, affecting future interest computations.

25 Years

A term often referring to the duration of a loan or mortgage, indicating the time over which repayments are to be made.

Interest

Interest is the charge for borrowing money, typically expressed as an annual percentage rate of the principal.

Compounded Monthly

The method of accruing interest on the initial amount of a loan or deposit, thereby earning interest on the accrued interest, on a monthly basis.