Question

beginning with the year 2010, an agency projected how the assets of the fund were going to change through the year 2035. the projection of assets can be modeled by the function a(x)= - 0.009x² + 0.127x + 2.372, where a(x) represents the amount of assets in trillions of dollars x years after 2010. x = 0 corresponds to the year 2010, x = 5 corresponds to the year 2015, etc. complete parts a through e.
a. complete the following table using your calculator. (round to three decimal places as needed.)

x, number of years since 2010	0	5	10	15	20
a(x), assets in trillions of dollars	2.372	2.782	2.742	2.252	1.312

b. evaluate a(11) and explain its meaning in this situation.
a(11)=□ trillion dollars (round to three decimal places as needed.)

Explanation:

Step1: Substitute x = 11 into function

We have the function $A(x)=- 0.009x^{2}+0.127x + 2.372$. Substitute $x = 11$ into it:
$A(11)=-0.009\times(11)^{2}+0.127\times11 + 2.372$.

Step2: Calculate each term

First, calculate $-0.009\times(11)^{2}=-0.009\times121=-1.089$.
Then, calculate $0.127\times11 = 1.397$.

Step3: Sum up the terms

$A(11)=-1.089 + 1.397+2.372$.
$A(11)=2.68$.

Answer:

$2.680$