Which two expressions are equivalent? A. 9(6 + x)
9 ⋅ 6+ 9 ⋅ x
B. x + (8 ⋅ 9)
(x + 8) ⋅ 9
C. 8⋅ 6 ÷ x
8 ⋅ x ÷ 6
D. 6 ⋅ x + 3
6 ⋅ (x + 3)

Trish receives $450 on the first of each month. josh receives $450 on the last day of each month. both trish and josh will receive payments for next four years. at a discount rate of 9.5 percent, what is the difference in the present value of these two sets of payments?

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

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?