Answer:
Step-by-step explanation:
Given that rectangle has side length 23x13 feet.
When squares of side x are cut from all the four sides we have dimensions as
23-2x and 13-2x and height x
Volume
Use derivative test
First derivative V'(x)
Equate I derivative to 0
We get approximate value of x = 2.671, 9.329
Since width is 13 feet it cannot be 9.329
Hence x = 2.671
V"(x) = -80 <0
So maximum volume is
Answer:
About 28,671,342 people
Step-by-step explanation:
This is compound growth problem. This goes by the formula:
Where
F is the future amount (in 3 years)
P is the present amount (28.5 million)
r is the rate of growth (0.4% = 0.4/100 = 0.004)
t is the time in years (3 years)
We first, need to find the rate of growth annually. It is given 0.4% every 2 years, so in 1 year that would be:
0.4%/2 = 0.2% = 0.002
Now, we put the information into formula and solve:
So, around 28,671,342 people will be infected in 3 years.
Answer:
8 students,
15 cans of juice and 11 packs of cheese cracker
Step-by-step explanation:
Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.
Factor these numbers:
The greatest common factor is
so the greatest number of students who can share the food equally is 8 and each student will get cans of juice and 11 packs of cheese cracker.