Answer: 62.8 centimeters
Step-by-step explanation:
We know that the circumference of a circle is given by :_
, where r is the radius of the circle.
Given : The radius of the circle : r= 10 centimeters.
Then , the circumference of the circle is given by :-
Hence, the circumference of the circle = 62.8 centimeters
Answer:
42.69% of information is acquired by the student in two weeks.
Step-by-step explanation:
We are given the following in the question:
where a and b are constants.
p tells us about the percentage of acquired knowledge that a person retains after t weeks.
We have to find the percentage of knowledge acquired in two week.
We put t = 2
Thus, 42.69% of information is acquired by the student in two weeks.
Answer:
(a)
(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours
(d)Maximum Earning = $160
Step-by-step explanation:
Let r be the number of hours worked at the restaurant.
Let y be the number of hours of yard work,
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.
Since she does yard work,
Lia’s parents allow her to work a maximum of 15 hours per week overall.
Lia’s goal is to earn at least $120 per week.
The restaurant, r pays $8 per hour
Yard work, y pays $12 per hour.
Therefore:
The system of inequalities that represent this problem is therefore:
(b)The graph of the inequality is attached below
(c)When the graph is plotted, the vertices of the feasible region are:
Where the first term is for the number of hours worked in the restaurant.
The maximum value of r possible is 15 from the three points.
Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.
(d)Maximum Amount Lia can earn in 1 Week
Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.
