Find the present value of the perpetuity
A perpetuity-due has annual payments of $10000, $11000, $12000, ... If the present value of the seventh and eighth payments are equal, find the present value of the perpetuity.
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A borrower is repaying a loan with 10 annual installments of $2000. Half of the loan is repaid by the amortization method at an effective rate of i=0.06.
A body initially at rest is accelerated to a velocity of 200m/s along the surface inclined at 30 degrees relative to horizontal. What is the mass?
A pen contains a spring with a spring constant of 228 N/m. When the tip of the pen is in its retracted position, the spring is compressed 5.90 mm from its unstrained length.
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A factory produces computer chips, and the proportion of defective chips is 0.01, i.e., p=0.01. Suppose you take a sample with 25 chips, and 1 out of them is defective. And let X be the number of defective chips among this 25 chips.
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Monthly deposits are made into a fund at the beginning of each month for 5 years. The first 12 deposits are $500 each,and deposits increase by 5% every year. Find the accumulated value at the end of 5 years if i^(12) = 0.06.
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