You are given $1000.00 but you must spend 1/2 the first year, and 1/2 the balance for each year thereafter. If you spend the maximum allowed each year, at the end of what year would you have $31.25 left? How much money would you have left after 10 half-live?

In this simulation, you will use small pieces of candy marked on one side. ... If you started with a sample of 600 radioactive nuclei, how many would ... were given $1000 and told that you could spend one-half of it in the first year, ... a. If you spent the maximum amount allowed in each year, at the end of what ... $31.25 left?

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .