Abigail is 4 years younger than breanna.
-breanna is twice as old as carlos.
-carlos is x years old.

a) write an expression for abigail's age in terms of x.

b) if carlos is 9 years old, how old is abigail? express abigail age in years

Aladder that is 30 ft long needs to reach 27 ft up a building. what should the angle of the vertical be?

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

Select the sequences that are geometric.