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The shaded region below is the common area to four semicircles whose diameters
are the sides of the square with side length 4x. Find the area of the shaded region in
terms of x.
The two circles below have equal radii of 4 units each and the distance between their centers is 6 units. Find the area of the shaded region.
He counted his paces along the corridor which was 15m long. It took him 230 strides from Bangga Patyo to Helvetia Heights. How far apart are the places mentioned?
From the given loaded cantilever truss. Compute the following: (a) the external reaction at D. (b) the stress of member BC and the stress of member DE.
of 15%per year. Using an 8%interest rate, calculate the present worth (PW) of the cost of the first 5
years of maintenance.
maintenance for the first 5 years. It has been estimated that the maintenance cost of a car is as follows:
Year Maintenance Cost
1 $100
2 120
3 140
4 160
5 180
Assume the maintenance costs occur at the end of each year and that the bank pays 5% interest.
How much should Gerard deposit in the bank now?
to be $5000 in year 1, to be $5500 in year 2, and to increase annually by $500 through year 10. At an
interest rate of 10% per year, determine the present worth of 10 years of maintenance costs.
payments at the end of each month, the first payment is to be made after 1 year. Find the monthly
payment and construct an amortization schedule.
payments over the next 3 years, the first due next month. Find the monthly payment and construct an
amortization schedule.
construction; P350,000 at the end of every year for the first 5 years and then P200,000 each year
thereafter for operating expenses, and P1,000,000 every 3 years for replacement of equipment with
interest at 16% per annum.
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