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Given an RC series circuit that has an emf source of 110 volts, a resistance of 3 kilo-ohms, a capacitance of 5 microfarad and the initial charge of the capacitor is 50 micro coulomb. What is the charge in the circuit at the end of 0.05 seconds?

Calculate the probability that both number of dices are less than five

A principal of N2500 is invested at 2% interest. Find the amount after 20 years if the interest is compounded (a) annually, (b) semi-annually, (c) quarterly, (d) monthly, and (e) daily. 


A tool and die company buy a machine for N175,000 and it depreciates at a rate of 30% per year. (In other words, at the end of each year the depreciated value is 70% of what it was at the beginning of the year.) Find the depreciated value of the machine after 5 full years. 


If a>0 then show that Lin(1/1+na)=0


A deposit of N100 is made at the beginning of each month in an account that pays 6% interest, compounded monthly. The balance in the account at the end of 5 years is? 


A thermometer reading of 100 degrees C was plunged into a tub of frozen water. If the thermometer reads 70C after 5 seconds, what will be the reading after 15 seconds?



Many scientists believe that large asteroid struck the earth that kill off dinosaurs. Fragment of asteroid had found out and contain 86% of its original uranium-238. How old is the fragment of the asteroid? The half-life of uranium-238 is 4.5 billion years

Consider a woman puts Php 60000 in an account. After 3 years, she has a total amount of Php 70000. How long will it take to have Php 100000?


A radioactive substance plutonium-239 has a half-life of 24,000 years. Initially, there is 700 mg of the substance. How long for the substance to decay 78% of its initial mass?



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