Answer:
The volume in such a package is 27648 in³
Step-by-step explanation:
Consider the provided information.
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.
Let the dimension are x by x by y.
Where x is the variable for the square base package and y is the variable for length.
Thus l=x, b=x and h=y
Then the volume of the box is: 
(∵V=lbh)
The maximum combined length and girth is 144.
Therefore, 
Substitute the value of y in volume of the box.
Substitute V'(x)=0.
Now apply second derivative test.
(Min)
(Max)
Hence, the maximum volume is at x=24
If x=24 then 
Substituting value of x = 24 and y = 48 gives 27648.
Hence, the volume in such a package is 27648 in³
Answer:
g= -4
Step-by-step explanation:
-5g = 20
<u>Divide the -5 to both sides</u>
-5g / -5 = 20/ -5
<u>both -5 cancel out and g is left alone</u>
<u>20/-5 = -4</u>
<u>g= -4</u>
Answer:
<h2> 7.3%</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest to get the rate of return;
Simple Interest = Principal * Rate * Time/100
Given Principal = $450,
Time (in years) = 1 year
Simple interest = $32.75
Rate (in %) =?
Substituting the given values in the given formula to get the rate;
32.75 = 450*1*R/100
450R = 3275
R = 3,275/450
R = 7.3%
The rate of return is 7.3%
Answer:
Step-by-step explanation:
62 degrees Fahrenheit
Step-by-step explanation:
The number of snowy tree cricket chirps per minute is 148 less than 4 times the outside temperature in degrees Fahrenheit.
Let x = number of chirps
f = temp in Fahrenheit
x = 4f -148
Now let x = 100
100 = 4f-148
Add 148 to each side
100+148 = 4f-148+148
248 = 4f
Divide each side by 4
248/4 = 4f/4
62=f
