Reference no: EM131165364

The above model describes the exponential decay of chemical element. t is the time in years, Q(0) is the initial amount of the chemical element, Q(t) is the amount of chemical element after t years and p is a constant. It is known that every 1600 years the amount of the chemical element drops to half ( its half-life is 1600 years). If the term e^p in the above equation can be replaced by the term x^y, where both x,y rational numbers, what is x and y?

(a) x=sqrt{frac{1}{2}}, y=frac{1}{1600}

(b) x=frac{1}{2}, y=frac{1600}{3}

Q What is the range of h(x)=3 ln (x) -7?

(a) (-8,8)

(b) (3,8)

(c) (-7,8)

(d) (-8, -7)