High School

Given the function:

[tex] y = 20000(1.04)^c [/tex]

Determine the value of [tex] y [/tex] when [tex] c [/tex] is specified.

Answer :

To solve the equation [tex]\( y = 20000(1.04)^c \)[/tex] and find the value of [tex]\( y \)[/tex] for a specific value of [tex]\( c \)[/tex], let's take [tex]\( c = 2 \)[/tex] as an example.

1. Substitute [tex]\( c = 2 \)[/tex] into the equation:
The equation becomes [tex]\( y = 20000(1.04)^2 \)[/tex].

2. Calculate [tex]\( 1.04^2 \)[/tex]:
First, calculate [tex]\( 1.04 \times 1.04 \)[/tex]. This equals [tex]\( 1.0816 \)[/tex].

3. Multiply by 20000:
Now, multiply the result by 20000.
[tex]\[
y = 20000 \times 1.0816 = 21632
\][/tex]

Therefore, when [tex]\( c = 2 \)[/tex], the value of [tex]\( y \)[/tex] is approximately [tex]\( 21632 \)[/tex].