Home
Class 12
MATHS
A radioactive substance has an initial m...

A radioactive substance has an initial mass of 100 grams, and its mass is reduced by 40% every 5 year. Which could be used to find the number of grams in the mass, y, that remains after x years?

A

`y=100(0.4)^(5x)`

B

`y=100(0.6)^(5x)`

C

`y=100(0.4)^((x)/(5))`

D

`y=100(0.6)^((x)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBLEM SOLVING AND DATA ANALYSIS

    ENGLISH SAT|Exercise Grib-In|40 Videos

  • PROBLEM SOLVING AND DATA ANALYSIS

    ENGLISH SAT|Exercise Grib-In|40 Videos

  • PROBLEM SOLVING AND DATA ANALYSIS

    ENGLISH SAT|Exercise EXERICSE|80 Videos

  • PROBLEMS IN CONTEXT

    ENGLISH SAT|Exercise PRACTICE TEST|10 Videos

Similar Questions

Explore conceptually related problems

Every 8 days a mass of a certain radioactive substance decreases to exactly one-half of its value at the beginning of the 8day period. If the initial amount of the radioactivce substance is 75 grams, which equation gives the number of grams in the mass, M,that remains after d days?

The breakdown of a sample of a chemical compounds is represented by the function p(n)=300(0.5)^(n) , where p(n) represents the number of millligrams of the substance that remains at the end of n years. Which of the following is true? I. 300 represents the number of milligrams of the substance that remains after the first year. II. 0.5 represents the fraction of the starting amount by which the substance gets reduced by the end of each year. III. Each year the substance gets reduced by one-half of 300.

When Sophie was born her parents invested a sum of $20,000 in her collage fund. They invested it at a nominal annual rate a 5% with interest compounded quarterly. Which equation could be used to find the number of dollars, y, in the account, after 18 years assuming no other deposits or withdrawals are made?

The number of square units, A, in the area covered by a bacteria culture is increasing at a rate of 20% every 7 days. If the bacteria culture initially covers an area of 10 square centimeters, which equation can be used to find the number of square units in the area covered by the bacteria culture after d days?

A radioactive substance decays to 1//16^(th) of its initial mass in 40 days. The half life of the substance, in days, is :

Half-life of a radioactive substance is 12.5 h and its mass is 256 g . After what time the amount of remaining substance is 1g ?

A force of 100 dyne acts on a mass of 5 grams for 10 sec . Find the velocity produced ?

The current population of a town is 10,000. If the population, P, increase by 3.5% every six months, which equation could be used to find the population after t years?

A radioactive substance decays at an annual rate of 13 percent. If the initial amount of the substance is 325 grams, which of the following functions f models the remaining amount of the substance, in grams, t years later?

The half-life of tritium is 12.5 years. What mass of tritium of initial mass 64 mg will remain undecayed after 50 years?

ENGLISH SAT-PROBLEM SOLVING AND DATA ANALYSIS-Multiple Choice
  1. The City Tunnel and Bridge Authority in a certain city estimates that ...

    Text Solution

    |

  2. Which of the accomanying tables that show how population is changing o...

    Text Solution

    |

  3. A radioactive substance has an initial mass of 100 grams, and its mass...

    Text Solution

    |

  4. The gas tank in a car holds a total of 16 gallons of gas. The car trav...

    Text Solution

    |

  5. Q. If there are 72 SAT Math scores between 510 and 600, how many SAT M...

    Text Solution

    |

  6. Q. If 20% of the students with SAT Math scores from 610 to 700 receive...

    Text Solution

    |

  7. Q. The table shows the minimum age requirement for obtaining a driver...

    Text Solution

    |

  8. Q. If a state is chosen at random, what is the probability that the mi...

    Text Solution

    |

  9. The graph above shows the number of U.S. households with laptop comput...

    Text Solution

    |

  10. The graph above shows the number of U.S. households with laptop comput...

    Text Solution

    |

  11. The graph above graphs how $250,000 is invested. Q. How much money ...

    Text Solution

    |

  12. The graph above graphs how $250,000 is invested. Q. After 20% of the...

    Text Solution

    |

  13. Q. The percent increase in the number of students enrolled in advanced...

    Text Solution

    |

  14. Q. From 2014 to 2015 the number of students enrolled in advanced mathe...

    Text Solution

    |

  15. Q. In 2012, the number of cars purchased was x percent of the number o...

    Text Solution

    |

  16. Question 11 and 12 refer to the gaph above. Q. Which of the followin...

    Text Solution

    |

  17. Question 13 and 14 refer to the gaph above which shows the heart rate,...

    Text Solution

    |

  18. Question 13 and 14 refer to the gaph above which shows the heart rate,...

    Text Solution

    |

  19. The table above can be used to approximate the circumference of the he...

    Text Solution

    |

  20. The cumulative histrogram above shows the distribution of scores that ...

    Text Solution

    |