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Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression `3^(–t)`. (a) What fraction of substance remains after 7 half-lives? (b) After how many half-lives will the fraction be `1/243` of the
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Use the properties of exponents to verify that each statement is true. (a) `1/4(2^n) = 2^(n-2)` (b) `4(n-1) = 1/4(4)^n` (c) `25(5^(n–2)) =
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There are 864,00 seconds in a day. How many days long is a second? Express your answer in scientific
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Ashima took a loan of Rs 1,00,000 at 12% p.a. compounded half yearly. She paid Rs 1,12,360. If (1.06)2 is equal to 1.1236, then the period for which she took the loan
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For calculation of interest compounded half yearly, keeping the principal same, which one of the following is
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_________ is charged on the sale of an item by the government and is added to the bill
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Four times a number is a _________ % increase in the
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The cost of a sewing machine is Rs 7,000. Its value depreciates at 8% p.a. Then the value of the machine after 2 years is Rs
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Three bags contain 64.2 kg of sugar. The second bag contains `4/5` of the contents of the first and the third contains `42 1/2%` of what there is in the second bag. How much sugar is there in each
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Given the principal = Rs 40,000, rate of interest = 8% p.a. compounded annually. Find (a) Interest if period is one year. (b) Principal for 2nd year. (c) Interest for 2nd year. (d) Amount if period is 2
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On selling a chair for Rs 736, a shopkeeper suffers a loss of 8%. At what price should he sell it so as to gain
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At a toy shop price of all the toys is reduced to 66% of the original price. (a) What is the sale price of a toy that originally costs Rs 90? (b) How much money would you save on a toy costing Rs
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If x and y are inversely proportional then _____ = k where k is positive
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Side of a rhombus and its perimeter are in ______
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Under the condition that the temperature remains constant, the volume of gas is inversely proportional to its pressure. If the volume of gas is 630 cubic centimetres at a pressure of 360 mm of mercury, then what will be the pressure of the gas if its volume is 720 cubic centimetres at the same
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Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and
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The number of teeth and the age of a person
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A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km
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Jan 17, 2022
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Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and
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If 12 pumps can empty a reservoir in 20 hours, then time required by 45 such pumps to empty the same reservoir is ______
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