Electrical Engineering Answers

4.) An engineer is entitled to receive P25,000 at the beginning of each year for 18 years. If the rate of interest is 4% compounded annually.

1. What is the present value of this annuity at the time he is supposed to receive the first

payment?

2. What is the sum of this annuity at the end of the 18th year?

3. Find the difference between the sum of this annuity which is paid at the beginning of

each year and an annuity paid at the end of each year.

Ans. 1. P329,141.72 2. P666,780.73 3. P25,645.41

3.) The following terms of payment for an annuity are as follows:

Periodic payment = P20,000

Payment interval = 1 month

Interest rate = 18% compounded monthly

Terms = 15 years

1. Find the present worth paid of all the payments if it is paid at the end of each month.

2. Find the difference between the sums of an annuity due and an ordinary annuity on these payments.

3. Find the difference between the present values of an annuity due and an ordinary annuity based on these payments.

Ans. 1. P1,214,911.246 2. P271,687.35 3. P18,628.67

1.) A social worker deposits a uniform amount of P12,000 at the end of each year in order to get a lump sum of money by the time she will retire at the end of 20 years. If the compound amount factor for this annuity is equal to 36.78559.

1. Compute the nominal interest rate.

2. Determine how much will she receive at the end of 20 years.

3. Determine the worth of the sinking fund factor in this fund invested.

Ans. 1. 6% 2. P441,427.08 3. 0.027184557

A steel ring has a mean diameter of 15cm,

A cross section of 20cm^2 and a radial air gap of 0.5mm cut in it.

The ring is uniformly wound with 1500turns of insulated wire and a

Program Plan (Iteration Structure)

An electric company bases its charges on two rates, customers are charged P25.00 per kilowatt-hour for the first 300 kilowatt-hours used in a month and P30.00 each for all kilowatt-hours used thereafter. Compute for the amount due from a customer after reading the kilowatt-hours used. Assume that there are 100 records of customers. With Output, Input, Processing Requirements, Algorithm, and Flowchart

2. Find the nominal rate which if converted quarterly could be used instead of 12%

compounded semi-annually.

4. Michael owes P25,000 due in 1 year and P75,000 due in 4 years. He agrees to pay

P50,000 today and the balance in 2 years. How much must he pay at the end of two

years if money is worth 5% compounded semi-annually?

3. A machine costs P20,000 today. If inflation rate is 6% per year and interest is 10% per

year, what will be the appropriate future value of the machine, adjusted for inflation, in

five years?

1. Determine the accumulated value of P2000.00 in 5 years if it is invested at 11%

compounded quarterly.

1.) An equipment costing P250,000 has an estimated life of 15 years with a book value of P30,000 at the end of the period. Compute the depreciation charge and its book value after 10 years using the sum of years digit method.

Answer;

d = P11,000 BV = P57,500