Answered: Suppose 500 grams of plutonium are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A painting sold for $246 in 1980 and was sold again in 1985 for $439. Assume that the growth in the value V of the collector's item was exponential. C a) Find the value k of the exponential growth rate. Assume V₂ = 246. (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1980. V(t) = c) Estimate the value of the painting in 2007. (Round to the nearest dollar.) d) What is the doubling time for the value of the painting to the nearest tenth of a year? years (Round to the nearest tenth.) e) Find the amount of time after which the value of the painting will be $6430. years (Round to the nearest tenth.)
The Jones bought a new house for $149700. Because of economic growth in the area, the value of their house increased at an average rate of 8% per annum for 5 years. To model this growth, use an exponential function of the form y = a·b^x The value of their house after the 5 years, to the nearest dollar, was options: A) $209 580 B) $161 676 C) $198 754 D) $219 958

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Suppose 500 grams of plutonium are stored in a container. The amount P(in grams) of plutonium present after t years can be modeled by the equation: P= 500(0.99997)^t. How much plutonium is present after 15,000 years?