Alice purchased a compass from an online retailer. The cost of the compass was $60.00, and was marked 40% off. Sales tax for the item is 7.5%, plus a shipping fee of $5.99. What is the final price, including discount, tax and shipping?​

$60.00 * 1.075 * .6 + 5.99 = $44.69

when you have multiple fees and discounts and taxes and whatever else, you should follow the order of all operations.  multiplication and division before addition and subtraction, and so on.  

Step-by-step explanation:

For discount and sales tax you multiply, and for shipping you just add the fee.  We will save shipping for last since it doesn't effect the discount or tax.  Meanwhile you could apply the discount and tax in any order.

To apply a discount you take the price and multiply by 1 minus the percent in decimal form.  decimal form of a percent is basically the number divided by 100.  so 40% = .4 then 1 - .4 = .6

to apply a ttax you multiply 1 plus the percent in decimal form.  tax is 7.5% so in decimal form that's .075 then 1 plus the tax is 1.075

so now you multiply 60 * .6 * 1.075 and also remember 60 * .6 * 1.075 = 60 *  1.075 * .6 but the answer is $38.70

Now add the shipping, so 38.70 + 5..99 = $44.69