Answer:
The solution to the equation are x = 5.089 and x = -0.589
Step-by-step explanation:
Given:
x(at the power of 2) = 6 + 9x
To Find:
The solution of the equation = ?
Solution:
The given equation can be written as
=>
=>
=>
Using the quadratic formula,
where
a= 2
b = -9
c = -6
Substituting these values,
x =5.089 x = -0.589
The <em><u>correct answer</u></em> is:
46.6 days
Explanation:
The general form for exponential growth is
, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).
We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:
We also know we want the total amount, A, to be twice that of the initial amount, p:
Divide both sides by p:
Using logarithms to solve this,