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On the day Harry Potter was born, his parents deposited 78,000 galleons in the Gringotts Wizarding Bank. Assume that the bank promises a fixed interest rate of 3%. How much will Harry have in his account when he enters Hogwarts at age 12?

Respuesta :

Answer:

111,209.35 galleons

Explanation:

Data provided in the question:

Initial deposit i.e principle amount = 78,000 galleons

Interest rate = 3% = 0.03

Time period, n = 12 years

Now,

Using the compounding formula, we have

Future value = Initial deposit × [ 1 + Rate ]ⁿ

thus,

Future value = 78,000 × [ 1 + 0.03 ]¹²

or

Future value = 78,000 × 1.4258

or

Future value = 111,209.35 galleons