The amount of money in an investment is modeled by the function A
(
t
)
=
500
(
0.9505
)
t
A
(
t
)
=
500
(
0.9505
)
t
. The variable
A
A
represents the investment balance in dollars, and
t
t
the number of years since 2004.

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?

Find the solution of each of the following.

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.