The expression $16x + $58.75 represents the total amount of money the academic club earned from washing x cars at a fundraiser. If the club members had to pay $(4x + 25) dollars in expenses, write an expression to represent their total profit. Explain how you know. Include any calculations you used to come to your conclusion.

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Find the area of the regular hexagon if a side is 20 cm.

Which inequality is equivalent to -3x < -12? x < 4 , x < -4 , x > 4, x > -4