Help pleaseeee!
2 answers:
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The investment growth is an illustration of an exponential function.
It will take 78.3 years for the investment to reach £29437.2
The given parameters are:
- Initial worth: 645.3
- Rate: 0.05
An exponential function is represented as:
Where:
- a represents the initial value
- r represents the rate.
So, we have:
When the investment becomes 29437.2, the equation becomes
Divide both sides by 645.3
Take the logarithm of both sides
This gives
Make t the subject
Hence, it will take 78.3 years for the investment to reach £29437.2
Read more about exponential functions at:
If a line is parallel to another it has the same slope. Since the equation y = 1/3x +8 is parallel to the line we are trying to find, our second line will have the slope of 1/3x as well
This is the equation of a line:
y = mx + b
m = slope = 1/3x
b = y intercept = unknown
We have to find b to make this equation complete. How do we do this?
First plug what you know into the equation: y = 1/3x + b
Second we must solve for b. To do this plug a point that passes through the line (in this case they said (6, -2) passes through the line) into the x and y of the equation:
-2 = 1/3(6) + b
Now solve for b!
-2 = 6/3 + b
-2 = 2 + b
- 2 - 2 = b
-4 = b
The equation parallel to y=1/3x + 8 and passes through point (6, -2) is y = 1/3x - 4
The image below is the two line one a coordinate plane. As you can see, they are parallel to each other
Hope this helped!
