Answer:
and growth rate is 17%.
Step-by-step explanation:
The general exponential growth function is
...... (1)
where, a is initial value, r is growth rate and x is time.
The given function is
![f(x)=2(3)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D2%283%29%5E%7Bx%7D)
Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year.
Using the properties of exponents the given function can be written as
![f(x)=2(3^{\frac{1}{7}})^{7x}](https://tex.z-dn.net/?f=f%28x%29%3D2%283%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%29%5E%7B7x%7D)
![f(x)=2(1.17)^{7x}](https://tex.z-dn.net/?f=f%28x%29%3D2%281.17%29%5E%7B7x%7D)
It can be rewritten as
.... (2)
On comparing (1) and (2) we get
r=0.17
Therefore, the required function is
and growth rate is 17%.
Answer:
False.
Step-by-step explanation:
The border line would be solid if the inequality is less than and equal to or greater than and equal to. In this case it is less than.
72 + 12x = 24 + 24x
48 = 12x
4 = x
It‘ll take 4 years.
Answer:
14
Step-by-step explanation:
If you substitute the numbers it is 8 + 3 x 2 otherwise known as 8 + 6
Answer:
$15
Step-by-step explanation:
If one pound of beef costs 5 dollars then three would be 3 x 5 which is 15.