Given:
Initial value of the stock = $100
Growth factor = 1.5 each week.
To find:
The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.
Solution:
Let V be the current value of the stock after t week.
The exponential growth model is:
Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.
Substituting , we get
Therefore, the required equation for the given situation is .
Answer:
39.39%
Step-by-step explanation:
There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.
1 - Understanding the equation
The '|'s which are surrounding the fraction are absolute value symbols in mathematics,
Absolute value means the positive value of anything inside
<u>Examples</u>:
| -8 | = 8
| 8 | = 8
and
| -2 | = 2
| 2 | = 2
the * 100 means you multiply (the * symbol means multiply) by 100.
We do this to get it into a percent.
3 - Assign numbers to the values from our equation
Original Value (What it changed from): 330
New Value (What it changed to): 200
3 - Plug in our values into our variables from our equation
<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>
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Hope this helps :)