An isosceles trapezoid has a perimeter of 43 kilometers. Its shorter base measures 1 kilometer and its longer base measures 4 kilometers. The two remaining sides have the same length; what is that length?

Abus ride for a senior citizen cost $1.25. a monthly pass costs $35. write and inequality that represents the number of times a senior citizen must ride the bus for the monthly pass to be a better deal.

In two or more complete sentences describe how to determine the appropriate model for the set of data, (1,1), (3,2), (6,3), (11,4).

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