Answer:
Years = natural log (Total / Principal) / Rate
Years = natural log (1,000,000 / 2,500) / .02
Years = natural log (400) / .02
Years = 5.9914645471 / .02
It would take 299.573227355 Years
Source: http://www.1728.org/rate2.htm
Step-by-step explanation:
Answer:the length of time he spent running is 8 minutes.
the length of time he spent swimming is 15 minutes.
Step-by-step explanation:
Let x represent the length of time he spent running.
Let y represent the length of time he spent swimming.
He exercised for a total of 23 minutes. This means that
x + y = 23
When running he burns 35 calories per minute, and when he swims he burns 30 calories per minute. He has burned 730 calories after exercising. It means that
35x + 30y = 730 - - - - - - - - - -1
Substituting x = 23 - y into equation 1, it becomes
35(23 - y) + 30y = 730
805 - 35y + 30y = 730
- 35y + 30y = 730 - 805
- 5y = - 75
y = - 75/ -5
y = 15
Substituting y = 15 into x = 23 - y, it becomes
x = 23 - 15 = 8
i think is 3rd one, cuz in the app photomath it said (-1, -9)
so this might be close
If x equals -13 then..
-4(-13)+5y=12
52+5y=12
5y=-40
y=-8
The two inequalities formed will be:
One for ticket quantity:
x + y ≤ 600
One for funds generated via tickets:
5x + 7y ≥ 3500
Equating x to 330,
5(330) +7y ≥ 3500
y = 265
Checking if the other inequality holds true:
330 + 265 ≤ 600
595 ≤ 600
This inequality is still true so they can sell 265 tickets on the event day and cover their expenses.
