martinezwendy3830 martinezwendy3830
  • 22-10-2019
  • Mathematics
contestada

110. Dani has $1,000 in an investment account that earns 3% per year, compounded monthly.
b. Write an explicit formula for the amount of money in the account after n months.

Respuesta :

KrystaCort KrystaCort
  • 22-10-2019

Answer:

The formula of Compound Interest is:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where A = Amount

P = Principle

r = rate

n = Number of Compounding per year

t = total number of year

a. For Dani

Here, P = 1000, r = 3% = 0.03, n = 12(monthly), and time = t.

Putting all these values in above formula:

[tex]A = 1000(1+\frac{0.03}{12})^{12\timest}[/tex]

⇒ [tex]A = 1000(\frac{12.03}{12})^{12t}[/tex]

⇒ [tex]A = 1000(1.0025)^{12t}[/tex]

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