55 Attes Sosis an
55 Commenti
DEயாயாத்தபாடியாய
CURRENT OBJECTIVE
Calculate continuously compounded interest
Question
ff an investment account starts with 3900, and grows with 2.1% interest, compounded continuously
How much is the account worth after 10 years?
Round your answer to the nearest dollar.
DO NOT round until you have calculated the final

Respuesta :

Answer:

[tex]A = $3801[/tex]

Step-by-step explanation:

[tex]P=3900[/tex]

[tex]r=2.1[/tex]

[tex]n=1[/tex]

[tex]t=10[/tex]

[tex]A=3900\left(1+\frac{2.1\%\:}{1}\right)^{1\cdot \:10}[/tex]

[tex]2.1\%\: = 0.021[/tex]

[tex]A=3900\left(1+0.021\right)^{1\cdot \:10}[/tex]

[tex]A=3900\cdot \:1.021^{10}[/tex]

[tex]A=3900\cdot \:1.23099\dots[/tex]

[tex]A=4800.89301\dots[/tex]

[tex]A = $3801[/tex]