Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: of 15 points (Score for Question 1: ___ of 6 points)

(a) Let x = Kim’s sister’s age. Create your equation here:
(b)

Linet passes through (4.5) and is perpendicular to the line shown on the condirate grid.what is the equation of line t in standard form?

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 square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base