The radioactive substance uranium-240 has a half-life of 14 …
The radioactive substance uranium-240 has a half-life of 14 hours. The amount A (t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function.A(t)=390012t14Round both answers to the nearest gram as necessary.a) Find the initial amount of the sample.b) Find the amount of the sample remaining after 20 hours.
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Show your work. Answer all questions a, b, and c, below.Formula Hints!!! You need to decide which you will use, I am just providing these for you. I spaced the letters in the exponent so you could read them easier:I=PrtA=P(1+rn)n tA=Per tConsider this scenario, a person needs to borrow $25,000 to buy a car. They can either borrow the money at 6.7% simple interest for 5 years or they can borrow at 6.4% interest compounded continuously for 5 years.a) How much total interest would they pay at 6.7 % simple interest?b) How much total interest would they pay at 6.4 % interest compounded continuously?c) Which option results in less total interest and why do you feel this option resulted in less total interest?
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