Question

A baseball card sold for $264 in 1979 and was sold again in 1989 for $438. 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 $V_0 = 264$. k= (Round to the nearest thousandth.)

Name: a baseball card sold for 264 in 1979 and was sold again in 1989 for 438 assume that the growth in the value v of the collectors item was exponential a find the value k of the exponential gro 45356
Uploaded: 2022-10-18T20:37:32-08:00
Duration: 1 min 46 s
Channel: James Kiss
Description: a baseball card sold for 264 in 1979 and was sold again in 1989 for 438 assume that the growth in the value v of the collectors item was exponential a find the value k of the exponential gro 45356

          A baseball card sold for $264 in 1979 and was sold again in 1989 for $438. 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 $V_0 = 264$.
k=
(Round to the nearest thousandth.)

a baseball card sold for 264 in 1979 and was sold again in 1989 for 438 assume that the growth in the value v of the collectors item was exponential a find the value k of the exponential gro 45356

Added by Randy R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert James Kiss

10/18/2022

Step 1

Since the growth is exponential, we can model the value as $V(t) = V_0 e^{kt}$, where $V_0$ is the initial value and $k$ is the exponential growth rate. We are given that $V_0 = 264$. In 1979, $t=0$, so $V(0) = 264$. In 1989, $t=10$, and $V(10) = 438$. Show more…

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A baseball card sold for $264 in 1979 and was sold again in 1989 for $438. 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 $V_0 = 264$. k= (Round to the nearest thousandth.)