In this question, you will work step-by-step through an optimization problem. many airlines restrict the size of carry on item in terms of their combined length, width and height (l w h). i am due to fly on an airline that states "the sum of the length, the width and height of your item must be at most 40 inches". suppose i want to take a box (cuboid) on my trip that will allow me to carry on as much as possible, and that i also want this box to have a square base. the questions we will answer using optimization are: what dimensions should the box have, and what would be the resulting maximum volume

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368