gonzalezkarina120205 gonzalezkarina120205
  • 03-02-2020
  • Mathematics
contestada

You deposit $200 in an account that pays 5% interest every year. How much money will you have after 6 years? Round to the nearest dollar

Respuesta :

sam4040
sam4040 sam4040
  • 09-02-2020

Answer:

[tex]\$ 268[/tex]

Step-by-step explanation:

Compound Interest: If P is initial amount, A is final amount, r is interest rate and n is number of years.

[tex]A=P(1+\frac{r}{100})^n[/tex]

[tex]Here\ P=\$ 200,\ r=5\%\ and\ n=6\ years\\\\We\ have\ to\ find\ out\ A\\\\A=200(1+\frac{5}{100})^6\\\\A=200(1+0.05)^6\\\\A=200(1.05)^6\\\\A=200\times 1.340095641\\\\A=268.02\\\\A\approx \$ 268[/tex]

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