After receiving some money for her birthday from her aunt, Emma spent $6 of the money at the movie theater. If that was 12% of her birthday money, then how much did her aunt give her?

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

The sales totals at macy's food store have increased exponentially over the months. which of these best shows the sales in the first three months?

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x