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Radioactive Decay (use formulas given in class): Half-life of cesium-137 is 30 years. Assume we have a 10 gram sample. Determine function which models mass remaining after t years.
Solve inequalities f(x) greater than equal to 0 where f(x)= (x+2)(x-4)^2 solve for solution set answer IN INTERVAL NOTATION.
Everybody's blood pressure differs over course of the day. In the certain individual resting diastolic blood pressure at time t is provided by B(t) = 80+ 7 sin(piet/12).
Suppose the present world population of six billion people, and annual growth rate of 1.9% per year, and the worst-case scenario of exponential growth, find world population be in: a) 10 years? b)
She can locate vertices of regular hexagon by graphing solutions to equation x^6-64=0 in complex plane. Find solutions to the equation? Graph solutions in complex plane. Illustrate work.
Determine essential gross productions to give surpluses of 2350 tons of agricultural products, 4551 tons of steel, and 911 tons of coal. Ensure to write technology matrix A.
Determine product of one which is defined. Use the results from part b to determine labor costs of the one person boat manufactured in Massachusetts.
Carpet distributor shops wholesale from 3 warehouses in Atlanta, in Houston, and Chicago. Illustrate the storage with the inventory matrix. determine the new inventory matrix after shipments.
If atmospheric pressure is 16 lb/in^2 at sea level and 11.5lb/in^2 at 3000 ft, determine atmospheric pressure at altitude of 9000 ft.
Concentration of drug in the organ at any time t (in seconds) is provided by x(t) = .07 + .15e^.04t where x(t) is measured in grams/cubic centimeter (g/cm3). How long it take drug in organ to reach
Marlene rides the bike at steady speeds of 9 mph on level ground, 6 mph when going uphill and 18 mph when going downhill. if total time riding was two hours, hows far is it to jon's house?
If $3000 is deposited into the account paying the nominal interest rate of 5% per year, how much is in account 9 years later if interest is compounded annually and continuously?
Radioactive iodine has the half-life of 60 days. Determine rate (constant) of decay How long will it take for radioactive iodine to decay to level of 20% of original amount?
Determine length of the arc intercepted by the central angle of Π/ 4 radians in the circle of radius 3.2 inches. Use formula s = r Θ.
The wheel is rotating 18 times per minute. Through how many degrees the point on edge of wheel moves in 0.75 seconds? Verify that equation is identity, sec ( theta ) - cos ( theta ) = sin ( theta )
Assume monthly contribution to health insurance made by worker is given by function. Compute instantaneous rate of change of contributions in 1997?
Determine (a) annual percent growth or decay rate, (b) continuous annual percent growth or decay rate, and (c) doubling time or half-life of population of animals which triples in size every five y
Assume y, number of cases of the disease, is decreased by 6% per year. If there are initially 10,000 cases, state y as the function of t, number of years elapsed.
Earth's atmospheric pressure, P, in terms of height above sea level is frequently modeled by the exponential decay function. Determine atmospheric pressure at 60 km?
Determine output for each sector which is required to satisfy final demand of $25 million for electricity, $15 million for natural gas, and $20 million for oil.
How many of each kind of truck must company buy? Give row reduced matrix and write the sentence interpreting meaning. Write purchasing options for company.
The half life of cesium-137 is 30 years assume we have a 10 g sample. Determine the function which models mass remaining after t years.
The population of the certain species of fish has the relative growth rate of 1.2% per year it is evaluated that population in 2000 was 12 million. Determine the exponential model for population t y
Find without graphing, whether function has the minimum value or a maximum value. Determine minimum or maximum value and find where it happens.
She would like to retire with the pension of $10,000 per quarter for15 years. If she works 27 years before retiring, how much money should she and her employer deposit every quarter?