# Math

1. If one wishes to accumulate a Php 30,000-fund in 5 years, how much should he deposit now at 18% compounded quarterly?
2. If a bank offers a rate of 4.5% compounded semiannually, how much should you deposit to accumulate Php 50,000 in 15 years
3. Suppose that a particular radioactive substance has a half-life of 25 years. Starting with 100 grams of the substance, how many grams of the substance would remain after 15 years?

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1. 1
p(1.045)^20 = 30000
p = 30000/1.045^20 = 12439.29

2. same method as #1

3. amount = 100(.5)^(15/25)
= 65.98 g

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posted by Reiny

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