Answer:- The functions f(x) and g(x) are equivalent.
Explanation:-
Given functions:- 
and ![g(x)=\sqrt[3]{64^x }](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%20%7D)
Simplify the functions by using law of exponents
Thus 
and ![g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%7D%3D%5Csqrt%5B3%5D%7B%284%5E3%29%5Ex%7D%3D%20%5Csqrt%5B3%5D%7B4%5E%7B3x%7D%7D%3D%20%5Csqrt%5B3%5D%7B%284%5Ex%29%5E3%7D%3D4%5Ex)
⇒f(x)=g(x)
Therefore ,the functions f(x) and g(x) are equivalent.
So for this you will be using an exponential equation, which is 
with a=initial value, b=growth/decay, y = total balance, and x = # of years
In this case, a = 500, and since with this problem the initial value is growing, you will add 100% to 6% to get 106%, or 1.06. The equation will be formed as such: 
With this problem, just plug in 15 into x and solve for y: 
In short, after 15 years Tom will have $1198.28 in his account.
Answer:
I think it goes like this : 20:4=5 so there's five monsters in the room
Step-by-step explanation:
if that's the case of this question it should go like this:
9(rooms)×5(monsters per room)= 45 monsters
30(monsters):5(monsters per room)=6 rooms
13(rooms)×5(monsters per room)=65 monsters
35(monsters):5(monsters per room)=7 rooms
I hope you do well in your assignment.
I hope I helped at least a little!
Answer:
5
Step-by-step explanation:
You can express this as a system of equations:
x in this instance will be her present age.
x + 8 = 2x + 3
simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.
Answer:
Step-by-step explanation:
Let's use your example as a starting point. <em>Determine whether the same number will divide each 10 and 65 evenly</em>. In this case, the answer is yes, and the number is 5. 10/5 = 2, and 65/5 = 13. Thus, the fraction in lowest terms is 2/13.
