Answer:
[tex]f(x)=9500(1.0625)^x[/tex]
Step-by-step explanation:
Formula for compound interest / exponential functions:
[tex]f(x)=a(b)^x[/tex]
a represents the initial value, b represents the multiplier, and x is the duration / inputs.
In this case, 9,500 is the amount invested, so that's the initial value. The factor here is 6.25% which turned into a decimal is 0.625, but we have to add 1 to that since we have to include the original 100% from when we invested the $9,500. Lastly, x is the number of years, so that remains the same as the formula.
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