You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=−40x+100, where x is the number of hours since your friend left home. You live 150 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant

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

Adele is five years older than timothy. in three years, timothy will be 2/3 of adele’s age. what is adele‘s current age?

Def rotates 90 clockwise about point a to create d’ e’ f’. therefore, which equation must be true ?