Layla opened a savings account and deposited 700.00 as principal the account earns 8%interest compounded annually what is the balance after 6 years​

Respuesta :

Answer:

The balance after 6 years is $1110.812026

Step-by-step explanation:

The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where

  • A is the new amount
  • P is the initial amount
  • r is the interest rate in decimal
  • n is the number of periods
  • t is the time in years

∵ Layla opened a savings account and deposited $700.00 as principal.

P = 700

∵ The account earns 8% interest compounded annually

r = 8% = 8 ÷ 100 = 0.08

n = 1 ⇒ compounded annually

∵ The time is 6 years

t = 6

→ Substitute these values in the rule above

∵ A = 700[tex](1+\frac{0.08}{1})^{1(6)}[/tex]

∴ A = 700[tex](1.08)^{6}[/tex]

A = 1110.812026

The balance after 6 years is $1110.812026