Answer: $66,740.82
Explanation:
Formula to find the accumulated amount if compounded continuously :
[tex]A=Pe^{rt}[/tex], where P= principal invest
t = time
r= rate of interest.
Given : A= $84,000 , r= 4.6% = 0.046 , t=5 years
[tex]84000=P e^{0.046\times5}\\\\\Rightarrow\ 84000=P (1.2586)\\\\\Rightarrow\ P=\dfrac{84000}{1.2586}\approx66740.82[/tex]
Hence, the amount need to invest = $66,740.82
