5 (12) A radioactive isotope has a hallife of 25 years. There was 100 mg in 2005 (a) Rocall from grado 11/12 the halt soa formula H(t) = H (1) the amount of the substance remaining after time. He is the initial amount of the substance and his the time it takes for that substance to decay to half it onginal State the function representing the half life of the scope (1) (b)Find an expression for the amount of the isotope, that is still tivo using time measured in years since 2005. Your expression must be of the form A(1) Pe" (base ) Hint You will need to wow w e Logorim for what wawe makes the expresion Per H.(!) (4) (c) How much of the isotopo do we have at the present time (2020) to 1 decim se both expressions from a) and b) to vorily (1) 892 All+h)-A() lim You will need to spreadshot og and compare the line (1) Determine an expression for the instantaneous roto of change. A value to your value from part (a). Include this in your submission (e) What is the instantaneous rate of decay in 2018 to 1 decimal place? units and an interpretation of this rate in the context of the problem (2) 5 (12) A radioactive isotope has a half life of 25 $ was 100 mg of the (a) Recall from grade 11/12 the hall lite formula H() Hog) where 172/ and his the time it takes for that substance to decay to hold itongnal amount (hall is the ) State the function (b)Find an expression for the amount of the isolopo, AD, that is still active using time measured in years since 2005 A ) = Perase "o Hint You will need to properties of Logarithms to determine for whatvac makes the (c) How much of the isotope do we have at the present time (2020) to 1 decimal place? Use both expressions from Alt+h)-(0 of change, Am, using first principles lim (d) Determine an expression for the instantaneous value to your c value from part (a) include this in yo (e) What is the instantaneous rate of decay in 2018 place? Be sure to inclu proper units and 5 (12) A radioactive isotope has a hallife of 25 years. There was 100 mg in 2005 (a) Rocall from grado 11/12 the halt soa formula H(t) = H (1) the amount of the substance remaining after time. He is the initial amount of the substance and his the time it takes for that substance to decay to half it onginal State the function representing the half life of the scope (1) (b)Find an expression for the amount of the isotope, that is still tivo using time measured in years since 2005. Your expression must be of the form A(1) Pe" (base ) Hint You will need to wow w e Logorim for what wawe makes the expresion Per H.(!) (4) (c) How much of the isotopo do we have at the present time (2020) to 1 decim se both expressions from a) and b) to vorily (1) 892 All+h)-A() lim You will need to spreadshot og and compare the line (1) Determine an expression for the instantaneous roto of change. A value to your value from part (a). Include this in your submission (e) What is the instantaneous rate of decay in 2018 to 1 decimal place? units and an interpretation of this rate in the context of the problem (2) 5 (12) A radioactive isotope has a half life of 25 $ was 100 mg of the (a) Recall from grade 11/12 the hall lite formula H() Hog) where 172/ and his the time it takes for that substance to decay to hold itongnal amount (hall is the ) State the function (b)Find an expression for the amount of the isolopo, AD, that is still active using time measured in years since 2005 A ) = Perase "o Hint You will need to properties of Logarithms to determine for whatvac makes the (c) How much of the isotope do we have at the present time (2020) to 1 decimal place? Use both expressions from Alt+h)-(0 of change, Am, using first principles lim (d) Determine an expression for the instantaneous value to your c value from part (a) include this in yo (e) What is the instantaneous rate of decay in 2018 place? Be sure to inclu proper units and