An open topped box is constructed as follows: a 24 in. x 24 in. square bottom has four identical squares cut off at each corner.

Step-by-step explanation:

Given

square bottom area is

Suppose x in. is cut from each corner to make a open box with maximum volume

New base area is

Volume of box

Differentiate V w.r.t x to get maximum volume

Put

but x=24 is not possible therefore x=8 will yield maximum volume

i believe the answer is c.

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61