Search & Filtering
a populatpion of 1,000 students has an average weekly allowance of =350 and standard deviation of =56.13 .what is the probability that a random sample of size =30 will have an average weekly allowance between 335 and 360?
5.) A student will receive P3,000 at the beginning of each 3 months for 4 years. What is the sum of
this annuity at the end of the 4th year if the interest rate is 6% compounded quarterly?
Ans. 54,604.07
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
2.) A businessman is faced with the prospect of fluctuating future budget for the maintenance of the
generator. During the first 5 years, P1,000 per year will be budgeted. During the second five
years, the annual budget will be P1,500 per year. In addition, P3,500 will be budgeted for an
overhaul of the machine at the end of the fourth year and another P3,500 for an overhaul at the
end of 8th year. Assuming compound interest at 6% per annum, what is the equivalent annual cost
of maintenance?
Ans. P1,888.87
A particle moves
along the X-axis according to the equation (t) = 2.0 - 4.0r m.
What are the velocity and acceleration at t= 2.0 s and t= 5.0 s?
Using what you know about dna, what does it mean for there to be a mutation in the cystic fibrosis gene
3.) For some interest rate “i” and some number of interest periods “n” the uniform series capital
recovery factor is 0.3091 and the sinking fund factor is 0.1941.
1. Compute the interest rate.
2. If the interest rate i = 12% compounded annually, compute the capital recovery factor
for a period n = 5 years.
3. If the rate of interest i = 16% compounded quarterly what would be the sinking fund
factor for a period of 6 years.
Ans. 1. 11.5% 2. 0.27741 3. 0.02559
2.) In an ordinary annuity (uniform series of payments) if the nominal rate of interest is 8%
compounded quarterly for 6 years.
1. Compute the value of the capital recovery factor.
2. Compute the value of the sinking fund factor.
3. Compute the value of the present worth factor.
Ans. 1. 0.052871 2. 0.032871 3. 18.914
1.) For a uniform series of payments what is the value of
1. (F/A, 8%, 6) if it is compounded quarterly
2. (P/A, 6%, 8) if it is compounded semi-annually.
3. (F/A, 8%, 4) if it is compounded continuously.
Ans. 1. 30.42186 2. 12.5611 3. 4.528047
Give reasons that led to the introduction of the basel 1,2 and 3?
