A painting sold for $277 in 1978 and was sold again in 1990 for $485....

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A painting sold for $277 in 1978 and was sold again in 1990 for $485. Assume that the growth in the value V of the collector's item was exponential.a) Find the value k of the exponential growth rate. Assume V? = 277.k=_(Round to the nearest thousandth.)b) Find the exponential growth function in terms of t, where t is the number of years since 1978.V(t)=_c) Estimate the value of the painting in 2015.$_(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 $2173._years(Round to the nearest tenth.)

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