SOLUTION: The value V of a Porsche 718 Cayman that is t years old can be modeled by V(t) = 420,000(0.965)t (a) What would be worth the car′s worth in 2 years? (b) In how many years wi

Algebra ->  Trigonometry-basics -> SOLUTION: The value V of a Porsche 718 Cayman that is t years old can be modeled by V(t) = 420,000(0.965)t (a) What would be worth the car′s worth in 2 years? (b) In how many years wi      Log On


   

Question 1154547: The value V of a Porsche 718 Cayman that is t years old can be modeled by
V(t) = 420,000(0.965)t
(a) What would be worth the car′s worth in 2 years?
(b) In how many years will the car be worth $325,000?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+V%28t%29+=+420000%2A%28+.965+%29%5Et+
(a)
+V%282%29+=+420000%2A%28+.965+%29%5E2+
+V%282%29+=+420000%2A.931225+
+V%282%29+=+391114.5+
$391,114.50
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(b)
+V%28t%29+=+420000%2A%28+.965+%29%5Et+
+325000+=+420000%2A%28+.965+%29%5Et+
+.77381+=+%28+.965+%29%5Et+
+log%28+.77381+%29+=+t%2Alog%28+.965+%29+
+-.111366+=+t%2A%28+-.015473+%29+
+t+=+7.2+ years
and
+.2%2A12+=+2.4+ months
7 years and 2.4 months
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