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Explain why or why not Determine whether the following statements are true and g

ID: 2855328 • Letter: E

Question

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. A quantity that increases at 6%/yr obeys the growth function y(t) = yoe^0.6t. If a quantity increases by 10%/yr, it increases by 30% over 3 yr. A quantity decreases by one-third every month. Therefore, it decreases exponentially. if the rate constant of an exponential growth function is increased, its doubling time is decreased. If a quantity increases exponentially, the time required to increase by a factor of 10 remains constant for all time.

Explanation / Answer

a) yes, the value of 6%=0.06,it is increase in exponentially.

b)no, increasing in exponential not in simple. so it is not equal to 30%.

c)yes, it is true clearly.

d)no.

e)yes.

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