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Course Audit
  • Shiela May Bedana

  • 問題数 27 • 5/23/2024

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    問題一覧

  • 1

    An equipment may be bought for a sequence of quarterly payments of 7500 for 3 ½ years. What is the cash price of the equipment if money is worth 6% compounded monthly?

    94,024.84

  • 2

    A debt of 10,000 is due in 4 years without interest is to be discharged. If 4 equal payments deposits, the first due in one year, are made into a fund earning 5%, what is the amount in the fund just after the 2nd deposit?

    4,756.27

  • 3

    What is the present of perpetuity due of 2,000 payable at the beginning of each quarter if money is worth 10% compounded quarterly?

    82,000

  • 4

    What is the purchase price for a 30,000 bond due in 10 years with periodic rate 5%, compounded semiannually, to yield the purchase 6% compounded semiannually?

    38,926.48

  • 5

    Which of the following is the monthly payment at the end of each month of a simple perpetuity on 400,000 if money is worth 15% compounded monthly?

    5,000

  • 6

    Which of the following is the present value of 10,000 paid at the beginning of each quarter for 1 year at 12% compounded quarterly?

    38,286.11

  • 7

    The television set is being sold for 20,000 and can be bought on quarterly installment payments for one year. What is the quarterly installment if the interest rate is 10% compounded quarterly?

    5,186.72

  • 8

    A man buys a house and lot worth 1,500,000 to be repaid on monthly installment for 15 years. What is the monthly payment if money is worth 15% compounded monthly?

    20,993.81

  • 9

    A deposit of 2,850 is made at the end of every month in an investment paying interest at 10% converted quarterly. How much will there be in the investment at the end of 5 years?

    220,216.92

  • 10

    Angel plans to accumulate 100,000 for her college education by depositing 4,500 every beginning of a quarter. If money is worth 12% compounded quarterly how long will it take to accumulate the amount?

    4.22 years

  • 11

    How much must be set aside every end of 6 months to have a fan of 670,000 at the end of 6 years, interest being at the rate of 7% effective?

    46,039.53

  • 12

    A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector of and joining the edges to form a cone. Determine the angle subtended by the sector removed.

    144°

  • 13

    What is the area in square meter of the zone of a spherical segment having a volume of 1,470.265 cubic meter if the diameter of the sphere is 30 m?

    565.5 m²

  • 14

    In a portion of an electrical railway cutting, the areas of cross section taken every 50 m are 2,556, 2619 2,700 2,610 in 2,484 m². Find its volume.

    522,600 cubic meter

  • 15

    A frustum of a pyramid has an upper base 100 m by 10 m and a lower base of 80 m by 8 m. If the altitude of the frustum is 5 m find its volume.

    4,066.67 cubic meter

  • 16

    A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of the pyramid is

    2,598 cubic centimeter

  • 17

    Pqr is a triangle and s is a point on the side qr, such that ps the angle bisector of angle qpr. If PQ:PR = 2:3, and area of triangle psr is 108 square centimeter, then what is the area of triangle pqr?

    180 square centimeter

  • 18

    If the diagonals of the rhombus is 48 cm and z centimeter and the area of the rhombus is 336 cm² then, find the perimeter of rhombus.

    100 cm

  • 19

    The width of the path around a square field is 4.5 m and its area is 105.75 square meter. Find the cause of fencing the field at the rate of 100 per meter.

    550

  • 20

    The perimeter of a rhombus is 148 cm and one of its diagonal is 24 cm. The area of rhombus is

    840

  • 21

    What is the total surface area of a cylinder with a radius of 7 m and the height of 8 m?

    659.4 m²

  • 22

    A right circular cone has a radius of 7 cm and a height of 24 cm. Find the area of the sheet required to make seven such cones.

    3,846.5 cm²

  • 23

    What is the formula for finding the volume of a right circular cone?

    1/3 pi r squared h

  • 24

    What is the total surface area of an iron sphere having a radius of 11 cm?

    1,519.76 cm²

  • 25

    The lateral surface area of a right circular cone is 2020 cm² and its radius is 10 cm what is the slant height.

    64.33 cm

  • 26

    Find the volume of the right prism with an area of base 121 m² and a height of 23 m.

    2,783 cubic meter

  • 27

    Find the total surface area of a square shaped box having a length of 2 m for its side.

    24 m²