Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.
Answer:
1782 tiles
Step-by-step explanation:
Given that:
Dimension fo floor = 132 x 216 inches
Area of floor = 132 * 216 = 28512 in²
Dimension of tiles = 4 * 4 inches
Area of tiles = 4 * 4 = 16 in²
Number of tiles needed to cover floor :
Area of floor / Area of tiles
28512 in² / 16 in²
= 1782 tiles
Answer:
She deposited $7500. So it is the principal.
At the end of years, she had total of $8700.
So the total amount is $8700 and the time period is 2 years.
Interest = Total amount - principal = $8700 - $7500 = $1200
We need the rate of interest.
we know that Interest = PTR/100
⇒1200 = 7500*2*R/100
⇒R = 1200*100/7500*2
⇒R = 120000/15000 = 8%
Rate of interest is 8%
Step-by-step explanation:
Answer:
4.1 gallons per person
Step-by-step explanation:
The total consumption of fruit juice is 2.05 billion
The total population is 500 million
Therefore the average number of gallons fruit juice consumed per person can be calculated as follows
=total consumption/total population
= 2,050,000,000/500,000,000
= 4.1 gallons per person
