We have been given that you invest $850 into a stock market fund, which grows at a rate of approximately 4% each year. We are asked to write an equation that can be used to calculate the amount of money in the fund after x years.
We will use exponential growth formula to solve our given problem.
An exponential function is in form , where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
Let us convert 4% into decimal.
.
We have and , so our equation would be:
Therefore, the equation can be used to calculate the amount of money in the fund after x years.
Answer:
Plot each point, connect in the given order, add parallel line segments to those already there, take the coordinates of the intersection and record as answer.
a) (-1,3), (-1,2), (9,2)
b) (3,7), (5,7), (5,-3)
c) (-5,-5), (1,4), (4,2)
d) (-52,73), (96,73), (96,1483)
- Missing point (-52, 1483)
<em>See attached</em>
C' ( 0, 3)
A' ( 2 , 1)
C'A' = CA
C'A' = √(2^2 + 2^2) = √8 = 2√2
C'A' = CA = 2√2
Answer:
Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. In our attempt to prove all circles are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
Step-by-step explanation: