exists and is bounded for all
. We're told that
. Consider the interval [0, 3]. The mean value theorem says that there is some
such that

Since
, we have

so 19 is the largest possible value.
Answer:
$53.00
Explanation :
20% would be $8.80
$8.80+$44.00=$52.80
$52.80 rounded to the nearest dollar would be $53.00
Estimation is a important skill to know when adding and subtracting decimals because if you estimate you have an idea on what your answer should be close to.
For example 4.68-2.38 could be 5-2 which is 3. 4.68-2.38 equals 2.3. 2.3 is close to 3.
The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.