Jasmine invests $1500 in an account that earns an interest rate of 4% compounded
continuously. How much money will she have in 4 years? (round to the hundredth place)

Respuesta :

Answer:

After 4 years she will have $1760.67 in her account.

Step-by-step explanation:

Jasmine invested initial amount = $1500

Rate of interest = 4% compounded continuously

Duration of investment = 4 years

Formula to calculate the final amount when compounded continuously is,

[tex]P(t)=Ie^{rt}[/tex]

where I = Initial amount

r = rate of interest

t = duration of investment

P(t) = Final amount

[tex]P(4)=1500e^{0.04(4)}[/tex]

        = [tex]1500e^{0.16}[/tex]

        = 1760.266

        ≈ $1760.27

Therefore, after 4 years she will have $1760.67 in her account.