Using an exponential function, it is found that it's annual growth rate is of 4%.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:
A(10) = 1.5A(0).
Thus:



![\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%20%2B%20r%29%5E%7B10%7D%7D%20%3D%20%5Csqrt%5B10%5D%7B1.5%7D)
1 + r = 1.04.
r = 0.04.
0.04 x 100% = 4%.
It's annual growth rate is of 4%.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
D. (4, -6)
Step-by-step explanation:
Since the heights of both triangles are the same (CD), their areas are proportional to their bases. That is ...
AC : CB = 3 : 4
In terms of coordinates, ...
4(C -A) = 3(B -C) . . . . multiply the ratios by 4(CB)
4C -4A = 3B -3C . . . .simplify
7C = 4A +3B . . . . . . . isolate C
C = (4A +3B)/7 . . . . . divide by 7
C = (4(1, -9) +3(8, -2))/7 = (28, -42)/7 . . . . substitute given coordinates
C = (4, -6)