If $1,120 is invested at an interest rate of 15% per year and is compounded contonuously, how much will the investment be worth in 7 years? Use the continuous compound interest formula: A=Pr^rt.​

Respuesta :

Answer:

[tex]\$3,200.57[/tex]  

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=7\ years\\ P=\$1,120\\ r=0.15[/tex]  

substitute in the formula above  

[tex]A=\$1,120(e)^{0.15*7}=\$3,200.57[/tex]  

Answer:3,200.57

Step-by-step explanation:

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