Lucky Jack wins the lottery! He deposits $100,000 in an account that earns 4% interest compounded continuously. How much money is in the account at the end of 5 years?

A) $120,357
B) $122,140
C) $125,620
D) $225,820

Respuesta :

Answer:

Option B) $122,140

Step-by-step explanation:

we know that

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=5\ years\\ P=\$100,000\\ r=0.04[/tex]  

substitute in the formula above  

[tex]A=\$100,000(e)^{0.04*5}=\$122,140.28[/tex]  

Round to the nearest dollar

[tex]\$122,140.28=\$122,140[/tex]