Respuesta :
After 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest, each year.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
We have an exponential equation:
[tex]\rm a = 4000(1+ 0.05)^t[/tex]
Plug a = $10,000
[tex]\rm 10000 = 4000(1+ 0.05)^t[/tex]
After calculating:
[tex]\rm 1.05^t= 2.5[/tex]
t = 18.78 ≈ 18.8 years
Thus, after 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest each year.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ1
