Is the x2 supposed to be squared?
70,000 * (1+.022/12)^(12*20)
70,000 * (1.552081849 = 108,645.73
108,645.73 - 70,000 = $38,645.73 in interest in 20 years
Answer:
balance after 4 years = $4502
Step-by-step explanation:
Formula to get the final amount when compounded annually is,
Final amount = ![\text{Principal amount}\times (1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=%5Ctext%7BPrincipal%20amount%7D%5Ctimes%20%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Here, r = rate of interest
n = number of compounding per year
t = Duration of investment
From the given question,
Final amount = ![4000(1+\frac{0.03}{1})^{(1\times 4)}](https://tex.z-dn.net/?f=4000%281%2B%5Cfrac%7B0.03%7D%7B1%7D%29%5E%7B%281%5Ctimes%204%29%7D)
= ![4000(1.03)^4](https://tex.z-dn.net/?f=4000%281.03%29%5E4)
= 4502.0352
≈ $4502
Therefore, balance after 4 years = $4502