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The 1984 explosion at a nuclear lab sent about 1000 kilograms of a radioactive element into the atmosphere. The function f(x)=1000(0.5)x/30 describes the amount, f(x), in kilograms, of a radioactive element remaining in the area x years after 1984. If even 100 kilograms of the radioactive element remains in the atmosphere, the area is considered unsafe for human habitation. Find f(80) and determine if the area will be safe for human habitation by 2064.
f(80)=_____ (Type an integer or a decimal rounded to the nearest tenth as needed)
Mocha Crunch Bakery paid its shareholders a dividend of $1.12 per share in the last quarter and $4.25 per share in the last year. The market price per share of Mocha Crunch Bakery is currently $36.59. Calculate the stock's current dividend yield
An equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle.
How do you know if there are local extrema when there are no zeros after you take the derivative?
Suppose Wal-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share. Amy has a maximum of $6000 to invest. She wishes to purchase four times as many shares of Wal-Mart as of Mattel. Only whole shares of stock can be purchas..
Find and solve an application problem involving first order (ordinary differential equation) using (exact, non-exact, bernoulli and homogenous) methods.
After a sale, the price of a stereo was marked up $35 to a regular price of $310. What was the sale price?
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
3. Entrepreneur of a product estimates that when q units of his items produced every month, the average total profit (in thousand RM) is P ¯(q)= -1.125q+45-200/q. Find the company's maximum profit.
Proficient - Provides an introduction that describes the purpose of the paper and the importance of statistics. Minor details are missing.Basic - Provides a limited introduction that partially describes the purpose of the paper and the importance ..
Provide the probability distribution of the number of machines being serviced. Determine the expected value of this distribution. What is the expected time a machine spends in the service system (waiting and being serviced)
Jay and Martin leave the UMUC campus simultaneously and set off in opposite directions. Jay's average rate is 25 mph faster than Martin's. After four hours of steady driving, the two are 460 miles apart. Find the average rate of each algebra stude..
Use graphing technology and the method in Example 5 to find the x-coordinates of the critical points, accurate to two decimal places. Find all relative and absolute maxima and minima.
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