Answer:
![A=42000(1.04)^n](https://img.qammunity.org/2021/formulas/mathematics/college/2rd0cgquv0h1ekdwwfcxgwig9jvpfc6hr6.png)
Explanation:
This is a compound interest formula expressed as:
![A=P(1+i)^n](https://img.qammunity.org/2021/formulas/mathematics/college/4l1cv5kbw9y3vgr22jmpop5zv1i3edziq6.png)
Where
is time in years
is the rate of interest
is the accumulated amount after n years
is the initial amount.
#We substitute the given values to determine amount after n years as follows:
![A=P(1+i)^n\\\\=42000(1+0.04)^n\\\\=42000(1.04)^n](https://img.qammunity.org/2021/formulas/mathematics/college/ltcm270owkxx9swi8bwerqhmgaw6yzwk5m.png)
Hence, the amount earned after n years of her career is given by
![A=42000(1.04)^n](https://img.qammunity.org/2021/formulas/mathematics/college/2rd0cgquv0h1ekdwwfcxgwig9jvpfc6hr6.png)