Using an exponential function, it is found that you allowance will be worth $1,531.84 in 1 and 2/3 years.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
For this problem, the parameters are given as follows:
A(0) = 190, r = 0.11.
1 and 2/3 years is equivalent to 12 + 2/3 x 12 = 20 months, hence the value of the allowance is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
A(20) = 190(1.11)^20
A(20) = $1,531.84.
More can be learned about exponential functions at https://brainly.com/question/25537936
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