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Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years?

Respuesta :

Answer:

[tex]\$1,923.23[/tex]  

Step-by-step explanation:

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=4\ years\\ P=\$1,600\\ r=0.046[/tex]  

substitute in the formula above  

[tex]A=\$1,600(e)^{0.046*4}=\$1,923.23[/tex]