The equation will be of the form:
where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:
Rearranging and taking natural logs of both sides, we get:
The required model is:
In any triangle, the sum of lengths of any two sides must be greater than the third side.
(1) If we chose three side lengths to be 5 cm, 7 cm and 10 cm. Let's do the check:
5+ 7 = 12 > 10
5+10 = 15 > 7
7 + 10 = 17 > 5
The sum of any two sides is greater than the third, therefore, these three side lengths can form a triangle.
(2) If we chose three side lengths to be 3 cm, 4 cm and 8 cm.Let's do the check:
3 + 4 = 7 which is not greater than 8
The condition is not fulfilled, therefore, these three side lengths cannot form a triangle.
Answer:
its could be 946-410= 536 and 410+536=946
They would make 32,760 together in a year. One person would make 7.50 a hour times 42 hours, which would be 315 a week. You would times that by 52 weeks in a year and get 16,380 for one person per year. Multiply 16,380 by two people and you would find that they make 33,760 a year.
