Agold coin appreciated in value from $200.00 to $475.00 in 6 years. find the yearly rate of appreciation. show or explain all work.

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

Were

is the final value after years

is the initial value

is the growth factor (yearly rate of appreciation in our case) in decimal form

is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so , , and .

Let's replace the values in our equation and solve for :

which rounds to

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry