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Applications of exponential function: Principal, rate, time.
A fax machine is purchased for $5,800. Its value each year is about 80% of the value of the preceding year. So after t years the value, in dollars, of the fax machine, V(t), is given by the exponential function
V(t) = 5800 (0.8)t.
a. Give a sketch of the graph of the function V(t). Your graph can be a "rough draft".
b. Determine the value of the fax machine in years 0, 1 and 4. to the nearest tenth.
c. Assume that the company decides to replace the machine when the machines values reduces to $500. In how many years will the machine be replaced.
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
Follow up with explaining how these systems of linear equations or algebra sets would be most applicable in personal or professional real-world situations. Give specific example.
Let S be the part of the plane 3x + 1y + z = 4 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1I + 2J + 2K across the surface S.
Given that the mean of a set of data is 25 and the standard deviation is 3, what would be the coefficient of variation?
quare centimeters, what is the cost of the metal for each sign? 80 cm 75 cm 85cm
A fire detection sensor is tested for its failure rate and found to have a mean failure rate of 3.6E-2 per hour of exposure with a standard deviation of
If an investor purchased 50 shares of Pearson Education stock at $85 per share, 90 shares at $105 per share, 120 shares at $110 per share and another 75 shares at $130 per share. What is the mean cost per share?
A rancher has 256feet of fencing to close two adjacent rectangular corrals.What dimensions will produce the largest total area? What is the maximum total area?
A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.
Standard Deviation and Outliers
a mass of 35g stretches a spring 8.4cm. if the distance that a spring is stretched is directly proportionally to the attached mass, how many centimeters will the spring be stretched by a mass of 50g.
Find the arc length of the parametric curve x = 3 cos t, y = 3 sin t, z = 4t; 0
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