Certain radioactive material decays in such a way that the mass remaining after t years is...

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Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 330e 0.02t where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 45 years? Your answer is Round answers to 1 decimal place. Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 355e-0.04t where m(t) is measured in grams. (a) Find the mass at time t Your answer is 0. (b) How much of the mass remains after 15 years? Your answer is Round answers to 1 decimal place. Find the final amount of money in an account if $5,000 is deposited at 8% interest compounded semi-annually and the money is left for 6 years. The final amount is $ decimal places Round answer to 2 If a hot object is placed in a cool environment, then, as time passes, the object's temperature will decrease, approaching the temperature of the environment. Newton's law of cooling makes this idea more precise. If the object has initial temperature To and the environment is kept at a constant temperature Te, then the relationship between the temperature T of the object and the amount of time t that has passed is given by the formula T = Te + (To Te)ekt Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 330e 0.02t where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 45 years? Your answer is Round answers to 1 decimal place. Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 355e-0.04t where m(t) is measured in grams. (a) Find the mass at time t Your answer is 0. (b) How much of the mass remains after 15 years? Your answer is Round answers to 1 decimal place. Find the final amount of money in an account if $5,000 is deposited at 8% interest compounded semi-annually and the money is left for 6 years. The final amount is $ decimal places Round answer to 2 If a hot object is placed in a cool environment, then, as time passes, the object's temperature will decrease, approaching the temperature of the environment. Newton's law of cooling makes this idea more precise. If the object has initial temperature To and the environment is kept at a constant temperature Te, then the relationship between the temperature T of the object and the amount of time t that has passed is given by the formula T = Te + (To Te)ekt