Questions: The assets (in billons of dollars) for a financial firm can be approximated by the function A(x)=348 e^044 x, where x=7 corresponds to the year 2007. Find the assets in each of the following years: (a) 2012 (b) 2012 (c) 2017 (a) Which of the following describes how to find the assets in 2012 using the given information? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal.) A. To find the assets in 2012, substitute for x and evaluate to find A(x). B. To find the assets in 2012, find the intersection point of the graphs y=348 e^94 t r and y=. The assets in 2012 are represented by the y-coordinate.

The assets (in billons of dollars) for a financial firm can be approximated by the function A(x)=348 e^044 x, where x=7 corresponds to the year 2007. Find the assets in each of the following years:
(a) 2012
(b) 2012
(c) 2017

(a) Which of the following describes how to find the assets in 2012 using the given information? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal.)
A. To find the assets in 2012, substitute for x and evaluate to find A(x).
B. To find the assets in 2012, find the intersection point of the graphs y=348 e^94 t r and y=. The assets in 2012 are represented by the y-coordinate.
Transcript text: The assets (in billons of dollars) for a financial firm can be approximated by the function $\mathrm{A}(\mathrm{x})=348 \mathrm{e}^{044 x}$, where $\mathrm{x}=7$ corresponds to the year 2007. Find the assets in each of the following ye (a) 2012 (b) 2012 (c) 2017 (a) Which of the following describes how to find the assets in 2012 using the given information? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal.) A. To find the assets in 2012 , substitute $\square$ for x and evaluate to find $\mathrm{A}(\mathrm{x})$. B. To find the assets in 2012 , find the intersection point of the graphs $y=348 e^{94 t r}$ and $y=\square$. The assets in 2012 are represented by the y-coordinate.
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Solution

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Solution Steps

Solution Approach

To find the assets in a given year using the function \( A(x) = 348e^{0.044x} \), we need to determine the value of \( x \) for each year. Since \( x = 7 \) corresponds to the year 2007, we can calculate \( x \) for any other year by subtracting 2007 from that year. Then, substitute this \( x \) value into the function and evaluate it to find the assets.

Step 1: Determine \( x \) for Each Year

To find the assets for the years 2012 and 2017, we first calculate the corresponding values of \( x \):

  • For 2012: \( x = 2012 - 2007 = 5 \)
  • For 2017: \( x = 2017 - 2007 = 10 \)
Step 2: Calculate Assets Using the Function

Next, we substitute the values of \( x \) into the asset function \( A(x) = 348e^{0.044x} \):

  • For 2012: \[ A(5) = 348e^{0.044 \cdot 5} \approx 433.6347 \]
  • For 2017: \[ A(10) = 348e^{0.044 \cdot 10} \approx 540.3421 \]

Final Answer

The assets in billions of dollars for the years are:

  • For 2012: \( \boxed{433.6347} \)
  • For 2017: \( \boxed{540.3421} \)
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