Amanda bought g gallons of paint for $16.55 per gallon and t pints of paint thinner for $5.97 per pint. write an expression to represent the total amount that amanda spent, if amanda bought 8 gallons of paint and 3 pints of paint thinner, how much did she spend? explain? (a) 16.55t +5.) 16.55t x 5.) 16.55g + 5.) 16.55g x 5.97t

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

Find the area of the regular hexagon if a side is 20 cm.

The diagonals of a quadrilaretral intersect at (-1,4). one of the sides of the quadrilateral is bounded by (2,7) and (-3,5) determine the coordinates of the other side in order for the quadrilaretral to be a square.