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Sagot :
Using an exponential function, it is found that the amounts deposited at the end of each month are given by:
- At the end of the first month, she deposits $110.
- At the end of the second month, she deposits $121.
- At the end of the third month, she deposits $133.1.
- At the end of the fourth month, she deposits $146.41.
What is an exponential function?
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, we have that A(0) = 100, r = 0.1, hence the equation for the amount deposited after t months is:
[tex]A(t) = 100(1.1)^t[/tex]
Then, for each of the first four months:
- [tex]A(1) = 100(1.1)^1 = 110[/tex]
- [tex]A(2) = 100(1.1)^2 = 121[/tex]
- [tex]A(3) = 100(1.1)^3 = 133.1[/tex]
- [tex]A(4) = 100(1.1)^4 = 146.41[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
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