If a nine-month term deposit at a bank earns a simple interest rate of 9% per annum, how much should be deposited to earn ₱225 of interest?

Sagot :

In the given problem, apply your knowledge in algebraic expression specially in calculation of interest and other application of math in finance.

The formula for simple interest is A = P(1 + rt), where

A = Final amount

P = Principal amount

r = interest rate per period of time

t = time in years

Given:

earn ₱225 of interest

nterest rate of 9% per annum

nine-month term

Problem:

How much should be deposited (value of P)?

Solution:

A = P(1+rt)

P + x = P(1+rt)

x is the earn or gained = 225

r = 0.09

t = 9/12 = 0.75

P + 225 = P[1+(0.75)(0.09)]

P + 225 = P(1.0675)

225 = 1.0675P - P

225 = 0.0675P

P = 225/0.0675

P = 3, 333.33

Answer: ₱3, 333.33

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