# Tutor profile: Stefan T.

## Questions

### Subject: Physical Education

Name three exercises that work the quadriceps muscles.

Answers may vary, but any exercise that extends the knee will be using the quads. Ex: Squats, Seated Leg Press, Box Jumps

### Subject: Geometry

What is the area of the circle inscribed in a 10"x10" square?

The circle has a diameter of 10, therefore the radius is 5. The area of a circle is approximately $$ 3.14 r^2$$ Plug in 5 for r (the radius) $$3.14(5)^2$$ $$3.14(25)$$ The area is approximately 78.5 units squared.

### Subject: Algebra

At the beginning of the year, John has 100 dollars in his savings account. Each month he puts an additional 20 dollars into the account. His friend Lucy starts with $200 dollars in her savings account and adds 10 dollars to it each month. When will Lucy and John have the same amount of money in their savings accounts?

John's Account: $$ y = 20x+100$$ Lucy's Account: $$y=10x+200$$ The accounts will be equal when $$10x+200=20x+100$$ To solve, first subtract 100 from the both sides $$10x+100=20x$$ Then subtract 10x from both sides so we are left with this: $$100=10x$$ $$x=10$$ After 10 months Lucy and John Will have the same amount of money in their savings accounts.

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