Answer: First option
Step-by-step explanation:
By definition, the horizontal shift depends on the value of <em>h </em>and the vertical shift depends on the value of <em>k</em><u>.</u>
indicates that the function if shifted to the right <em>h </em> units.
indicates that the function if shifted to the left <em>h </em> units.
indicates that the function if shifted down <em>k </em> units.
indicates that the function if shifted up <em>k </em> units.
Then:
If <em>h </em>is positive, the graph will shift to the right.
If <em>k </em>is negative, the graph will shift down.
As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

Where:

Given:
The initial mass of an element is 800 grams.
Decay rate = 8.2% per day
Number of days = 15
To find:
The remaining element after 15 days.
Solution:
The exponential decay model is

Where, a is the initial value r is the rate of interest and t is time period.
Putting
in the above formula, we get




Therefore, the mass of the remaining element is 221.7 grams.
Answer: 1 1/2 or 6/4
Step-by-step explanation:
Answer:
£160
Step-by-step explanation:
Ammount he receives per year times 4.
800 x 0.05 x 4
= £160