Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.
Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)
For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.
So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.
Now just divide the size of the vat by that number, and you find your answer.
70 gallons / 3 gallons per hour = 23 1/3 hours.
Nvm disregard or delete this... wrong answer
It would be 16 more 6th graders that are not in either band or orchestra.
15 6th Graders in band
9 6th Graders in both classes
+18 6th Graders in orchestra
-----
42 6th Graders in either class
100 6th Graders in total
-42 6th Graders in either class
-------
58 6th Graders in neither class
58-42= 16 more 6th Graders that are not in either class
You're welcome :)
Hello! For these kinds of problems, the formula for finding the principal is I / rt. That means, divide the simple interest by the rate and time (rate should be in decimal form). In order to find simple interest, just do prt, which means multiply the principal (initial amount) by the rate (simple interest rate, in decimal form) by the amount of time (could be in months or years). With that being said, if you solve it correctly, here are your answers:
Principal: $14,181
Interest rate: 10%
Time: 4 years
Simple Interest: $5,672.40
Principal: $83,079
Interest rate: 9%
Time: 2 years
Simple Interest: $14,954.22
Principal: $659,379.96
Interest rate: 11.7%
Time: 28 months
Simple Interest: $179,753.57
Principal: $18,936
Interest Rate: 2.41%
Time: 3 Months
Simple Interest: $114.09
Note: If the time is in months, be sure to convert it into a decimal and multiply. If a decimal repeats, just convert it to the nearest hundredth.
9514 1404 393
Answer:
A 7/25
Step-by-step explanation:
The cosine of an angle is equal to the sine of its complement. In a right triangle, angle A is the complement of angle B. So, ...
cos(A) = sin(B)
cos(A) = 7/25
