Jasmine decides to put $100 in a savings account each month. The account pays 3% annual interest, compounded monthly. How much money, S, will Jasmine have after one year?

Respuesta :

The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 3% per year compounded 12 times per year over 1 years is $103.04.

Compound Interest

Given data

  • Principal = $100
  • Rate = 3%
  • Time = 1 year

A = P + I where

P (principal) = $100.00

I (interest) = $3.04

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 100.00(1 + 0.03/12)^(12)(1)

A = 100.00(1 + 0.0025)^(12)

A = $103.04

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