Answer:
She will have $2792 at the end of her four year investment
Step-by-step explanation:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Gift of $2500:
This means that ![P = 2500](https://tex.z-dn.net/?f=P%20%3D%202500)
She shopped around and found a 4 year GIC investment that earns 2.8% interest annually.
This means that
.
How much will Anna have at the end of her four year investment?
This is A(4). So
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A(4) = 2500(1 + 0.028)^{4} = 2792](https://tex.z-dn.net/?f=A%284%29%20%3D%202500%281%20%2B%200.028%29%5E%7B4%7D%20%3D%202792)
She will have $2792 at the end of her four year investment