Answer:
(0,2) & (3,0)
Step-by-step explanation:
Given the equation :
Step 1:
To find the y-intercept, you want to set the x value to zero. This will allow you to solve for y, and find where the equation intercepts why on the 0 line:
So, at x=0, y=2. or (0,2)
Step 2:
Set y = 0 and solve for x:
so at y=0, x=3. which is the same as saying: when x=3, y=0, or (3,0)
Answer:
£21552.
Step-by-step explanation:
Given information:
Principal amount = £18790
Rate of simple interest =4.9% = 0.049 per year
Time = 3 years
Formula for simple interest:
where, P is principal, r is rate of interest and t is time in years.
Total amount after 3 year is
Therefore, Dan have £21552 after 3 years.
Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as , where
and
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
,
This means the maximum volume occurs at .
Substitute into
to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
