Evie is making wedding invitation cards in three different colours — blue, green and purple. She uses the different colours in the ratio 2 : 7 : 3. Evie has made 12 green cards so far and has 72 more green cards to make. Work out how many purple cards she will need to make.

At which value in the domain does f(x) =0?

If $740 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 7 years? use the continuous compound interest formula a = pert.

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %