Mr. Davis invested $8,000 in a savings account. The bank pays 4.5% annual compound
interest. Mr. Davis never withdrew nor deposited in the savings account. Which of the
following exponential graphs represents the money y that Mr. Davis has after x years

Respuesta :

Answer:

Compound interest formula

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

where:

  • A = final amount
  • P = principal
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of times periods elapsed

Given:

  • A = y
  • P = $8,000
  • r = 4.5% = 0.045
  • n = 1
  • t = x

Substitute given values into the equation:

[tex]\implies y=8000(1+\frac{0.045}{1})^x[/tex]

[tex]\implies y=8000(1.045)^x[/tex]

So the graph will have a y-intercept of (0, 8000)

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