The exponential model Upper A equals 925.2 e Superscript 0.027 t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 1504 million.

The measure of the angles of triangle abc are given by the expressions in the table. angle-measure a-48 degrees b-(6x-28)degrees c- (2x) degrees find the value of x. then find the measures of angles b and c. enter your answers in the boxes. x= m m

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

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?