A painting sold for $235 in 1975 and was sold again in 1989 for $446. Assume that the growth in the value V of the collector's item was exponential. a) Find the value k of the exponential growth rate. Assume V_o = 235. k = (Round to the nearest thousandth.) b) Find the exponential growth function terms of t, where t is the number of years since 1975. V(t) = c) Estimate the value of the painting in 2008. $ (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 $1760. years (Round to the nearest tenth.)
Show transcribed image textA painting sold for $235 in 1975 and was sold again in 1989 for $446. Assume that the growth in the value V of the collector's item was exponential. a) Find the value k of the exponential growth rate. Assume V_o = 235. k = (Round to the nearest thousandth.) b) Find the exponential growth function terms of t, where t is the number of years since 1975. V(t) = c) Estimate the value of the painting in 2008. $ (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 $1760. years (Round to the nearest tenth.)