Loretta deposits $350 every quarter into a savings account that earns 4.5% interest compounded quarterly. What is the balance after 7 years?

A. $10,312.63
B. $11,344.18
C. $11,444.27
D. $12,477.74

Respuesta :

9514 1404 393

Answer:

  C.  $11,444.27

Step-by-step explanation:

The formula for the amount of an annuity is ...

  A = P((1 +r/n)^(nt) -1)/(r/n)

where r is the annual interest rate, compounded n times per year for t years, and P is the payment made in each interval.

Here, we have P=$350, r = 0.045, n = 4, t = 7, so the account balance will be ...

  A = $350((1 +.045/4)^(4·7) -1)/(0.045/4) ≈ $11,444.27

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Additional comment

This calculates the balance if the deposit is made at the end of the quarter.