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In 2006 the population of the United States was 300.2 million (U.S. Census Bureau, www.census.gov). If the population continues to grow at an annual rate of 1.05%, then the population in the year 2020 will be 300.2(1.0105)14 million.
a) Evaluate the expression to find the predicted population in 2020 to the nearest tenth of a million people.
b) Use the accompanying graph to estimate the year in which the population will reach 400 million people.
Cubic Splines: Natural and Clamped, Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)
Does this suggest there is a linear relation between attendance and achievement score? Write a sentence that explains what this result might mean.
A pig farmer wants to enclose a rectangular area and then divide it into five pens with fencing parallel to one side of the rectangle. There are 650 feet of fencing available to complete the job. What is the largest possible total area of the five ..
If you have 452 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Use your new formula to find the mass of the automobile in kg for each value of force and time given in the table below. Round your answer to the nearest whole number.
A baseball batter is running to first base at the rate of 30 ft/sec. When he has run halfway, at what rate is his distance from second base changing?
you buy a new stereo for $1300 and are able to sell it 4 years later for #275. Assume that the resale value for the stereo decays exponentially with time. Write an equation giving the stereo's resale value V (in dollars) as a function of the time ..
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing?
Explore and find a real-world application of a quadratic equation, whether it is from the realm of physics, finance, or anything else. Write a paragraph about what you find. In your description,
Determine a real-life example scenario for how to find the distance between two points.
Find an ewuivalent expression for h (t) by factoring.
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