For question 1 the answer is movie B
For question 2 the answer is 10%
hope that helps :)
Given:
The given equation is

To find:
The vertex, focus, and directrix.
Solution:
The equation of a parabola is
...(i)
where, (h,k) is vertex,
and directrix is 
We have,

It can be written as

...(ii)
On comparing (i) and (ii), we get

Vertex of the parabola is (2,3).



Therefore, the focus of the parabola is
.
Directrix of the parabola is



Therefore, the directrix of the parabola is
.
Answer:
<u>Option C.</u>
Step-by-step explanation:
See the attached figure which represents the graph of the given options.
To determine if a line represents a valid function, we may use the vertical line test.
If it is touching more than one point on the line at a time, the line is not a valid function.
So, according to the previous rule, the function of figure C is a function and its inverse is also a function.
<u>The answer is option C.</u>
Answer:
Compound interest
Step-by-step explanation:
The question requires us to determine if the interest earned is a simple or compound interest
Simple interest = amount deposited x time x interest rate
Future value with compounding = A( 1 + r)^n
A = amount deposited
r = interest rate
n = time
We would calculate the simple interest and the future value in year 2
Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50
Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50
Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42
The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done