In 2004, an art collector paid $172,536,000 for a particular painting The same painting sold for $34,000 in 1950 Complete parts (a) through (d) ww a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950 0.158t V(t) = 34000 e (Type an expression Type integers or decimals for any numbers in the expression Round to three decimal places as needed) b) Predict the value of the painting in 2027. 6533000000 (Round to the nearest million as needed) c) Estimate the rate of change of the painting's value in 2027 103000000 dollar(s) per year (Round to the nearest million as needed) d) How long after 1950 will the value of the painting be $3 billion? 72 year(s) (Do not round until the final answer. Then round to the nearest year as needed.)

In 2004, an art collector paid $172,536,000 for a particular painting The same painting sold for $34,000 in 1950 Complete parts (a) through (d) ww a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950 0.158t V(t) = 34000 e (Type an expression Type integers or decimals for any numbers in the expression Round to three decimal places as needed) b) Predict the value of the painting in 2027. 6533000000 (Round to the nearest million as needed) c) Estimate the rate of change of the painting's value in 2027 103000000 dollar(s) per year (Round to the nearest million as needed) d) How long after 1950 will the value of the painting be $3 billion? 72 year(s) (Do not round until the final answer. Then round to the nearest year as needed.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...

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