4. -/2 points details my notes larpcalclim5 3.1.032.mi. ask your teacher practice another evaluate the…

4. -/2 points details my notes larpcalclim5 3.1.032.mi. ask your teacher practice another evaluate the function at the given value of x. round your result to three decimal places. function value f(x) = 500e^(0.02x) x = 46 f(46) =

4. -/2 points details my notes larpcalclim5 3.1.032.mi. ask your teacher practice another evaluate the function at the given value of x. round your result to three decimal places. function value f(x) = 500e^(0.02x) x = 46 f(46) =

Answer

Explanation:

Step1: Substitute x value

Substitute $x = 46$ into $f(x)=500e^{(0.02x)}$, we get $f(46)=500e^{(0.02\times46)}$.

Step2: Calculate exponent value

First calculate $0.02\times46 = 0.92$. So $f(46)=500e^{0.92}$.

Step3: Find exponential - function value

We know that $e^{0.92}\approx2.5082$. Then $f(46)=500\times2.5082$.

Step4: Calculate final result

$500\times2.5082 = 1254.1$. Rounding to three decimal places, $f(46)=1254.100$.

Answer:

$1254.100$