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A loan of $10,000 is taken at an annual interest rate of 5%, compounded monthly. What will be the amount owed after 3 years?
The amount owed after 3 years is approximately $11,616.17.
A tank is being filled with water at a rate of 3 liters per minute. If the tank has a capacity of 150 liters and starts empty, how long will it take to fill the tank, and how much water is added in the first 10 minutes?
It takes 50 minutes to fill the tank, and 30 liters are added in the first 10 minutes.
It is a right triangle with an area of 84 square cm.
A circle has a circumference of 31.4 cm. Find the radius and the area.
The radius is approximately 5 cm, and the area is approximately 78.5 square cm.
#### 5 cm, 78.5 square cmQuestion: A biologist conducts 40 trials of an experiment, achieving a 65% success rate. After 10 more trials, her overall success rate becomes 70%. How many of the additional trials were successful?
Solution: Let $ x $ be the number of successful trials in the additional 10 attempts. The total successful trials are $ 0.65 imes 40 + x = 26 + x $. The overall success rate is $
Question: Two aquifers have combined flow rates modeled by the equations $ y = 3x + 15 $ and $ y = -2x + 40 $. Find their intersection point.