5) ARTSY PHARTZY Mr. Phartzy is an avid art collector. He knows the price of art fluctuates greatly over time and has an art appraiser he consults about the projected value of his paintings. He just bought two paintings, a portrait and a landscape. The art appraiser says the projected value of both paintings will follow the model of an exponential function of the form f ( x ) = a cx, where x: time elapsed since the purchase, in years f(x): the value of the portrait painting, in dollars g(x): the value of the landscape painting, in dollars The portrait is projected to be worth $151 165.44 in 3 years and $259 071 in 10 years. The landscape painting, which was bought for $300 000 is projected to lose $12 000 in value in the first year. Mr. Phartzy sells his paintings when they are projected to be of equal value. Will Mr. Phartzy make a profit or suffer a loss
5) ARTSY PHARTZY Mr. Phartzy is an avid art collector. He knows the price of art fluctuates greatly over time and has an art appraiser he consults about the projected value of his paintings. He just bought two paintings, a portrait and a landscape. The art appraiser says the projected value of both paintings will follow the model of an exponential function of the form f ( x ) = a cx, where x: time elapsed since the purchase, in years f(x): the value of the portrait painting, in dollars g(x): the value of the landscape painting, in dollars The portrait is projected to be worth $151 165.44 in 3 years and $259 071 in 10 years. The landscape painting, which was bought for $300 000 is projected to lose $12 000 in value in the first year. Mr. Phartzy sells his paintings when they are projected to be of equal value. Will Mr. Phartzy make a profit or suffer a loss
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:5) ARTSY PHARTZY
Mr. Phartzy is an avid art collector. He knows the price of art fluctuates greatly over time and
has an art appraiser he consults about the projected value of his paintings.
He just bought two paintings, a portrait and a landscape.
The art appraiser says the projected value of both paintings will follow the model of an
exponential function of the form f ( x ) = a cx,
where x: time elapsed since the purchase, in years
f(x): the value of the portrait painting, in dollars
g(x): the value of the landscape painting, in dollars
The portrait is projected to be worth $151 165.44 in 3 years and $259 071 in 10 years.
The landscape painting, which was bought for $300 000 is projected to lose $12 000 in value
in the first year.
Mr. Phartzy sells his paintings when they are projected to be of equal value.
Will Mr. Phartzy make a profit or suffer a loss
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