Svetlana won $1,000,000 in a contest, to be paid in twenty $50,000 payments at yearly intervals, the rst payment paid at the time of the contest. (of course, the present value of her winningis less than $1,000,000.) svetlana decided to keep x each year to spend and deposit theremaining $50,000-x into an account earning an annual eective interest rate of 5%. shechose the value x to be as large as possible so that, at the moment of the 20th deposit, theaccount would have grown to such a size that it would provide svetlana and her heirs at leastx per year in interest forever. find x.

Consider the reaction 2x2y2+z2⇌2x2y2z which has a rate law of rate= k[x2y2][z2] select a possible mechanism for the reaction.

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

Mr. and mrs. wallace have decided to buy a car for $21,600. they finance $15,000 of it with a 5-year auto loan at 2.9% arp. what will be their monthly payment be? a. $268.20 b. $268.86 c. $269.54 d. $387.16 (monthly car loan payment per $1,000 borrowed) i need !