Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
$3,456 will be given to the band.
Simply multiplying 57,600 and 6% which is 0.06, you get 3,456.
Answer:
See explanation
Step-by-step explanation:
Q11. Statement Reason
1.
bisects
Given
2.
Definition of angle bisector
3.
Reflexive property
4.
bisects
Given
5.
Definition of angle bisector
6.
ASA postulate
Q13.
1. Consider triangles ACB and DCE. In these triangles,
- given;
- given;
- as vertical angles (by vertical angles theorem)
Hence, triangles ACB and DCE are congruent by SAS postulate.
2. congruent triangles have congruent corresponding sides, so
