The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.

Step-by-step explanation:

Set the cost equation C(l) = l3 – l2 + l + 2.5 equal to $11.00 and solve for l:

                                     C(l) = 2l + 2.5 = $11, or

                                               2l = 8.5, or l = length = 4.25 inches

Step-by-step explanation:

Set the cost equation C(l) = l3 – l2 + l + 2.5 equal to $11.00 and solve for l:

                                     C(l) = 2l + 2.5 = $11, or

                                               2l = 8.5, or l = length = 4.25 inches

2.25

Step-by-step explanation:

Given the cost model:

C(l) = l3 – l2 + l + 2.5

l = Length fo package

The length of a package that cost $11.00

11 = l³ - l² + l + 2.5

From the table given :

Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50

Taking l as 2.20

2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508

Taking a slightly higher value :

Put l = 2.25

2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078

Ww can conclude that the length of mail would be 2.25

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581