Convert the exponential equation to the form Q= ae^kt. In the blanks, give the c

Question

Convert the exponential equation to the form Q= ae^kt. In the blanks, give the corresponding values for the values of a and k once you have rewritten the formula. Give your answer for kk as a decimal, not a percent.

Q=789(0.92)^0.8t
a=
k=

HW 60 Sections Previous Problem List Next (1 point) Convert the exponential equatio rewritten the formula. Give your answer f 0.8t 789(0.92) Note: You can earn partial credit on this prob Preview My Answers Submit Answers You have attempted this problem 3 times. Your overall recorded score is 50%. You have 3 attempts remaining.

Explanation / Answer

Q= a ekt is the form in which we have to write Q= 789 (0.92)0.8t
Comparing these two equation we can write it as
a ekt = 789 (0.92)0.8t
Thus ek = 0.920.8
taking log on both sides we get
k log e = 0.8 log (0.92)
k = 0.8* (-0.08338)
k= -0.066704
Thus rewriting the equation we get
Q= a ekt = 789 e(-0.066704)*t
which means a=789 and k = -0.066704

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