Answer: $ 90305.56
Step-by-step explanation:
To find the future value of the amount, use the compound interest formula as follows:
A = P( 1 + i/m)^mn
Where; A = Future amount after n years;
P = Principal amount or amount deposited which is equal to $50, 000 in this question.
i = interest rate charge which is 6% in this case
m = number of times compounded per year, thus, m = 2 in this case since it is compounded semi-annually.
n = number of years which is 10 years in this case.
Substituting in the equation:
A = 50 000( 1 + 0.06/2) ^ 2(10)
= $ 90305.56
Answer:
In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.
Step-by-step explanation:
(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4
= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4
Using it's concepts, we have that:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
- Since each value of the input is mapped to only one value of y, it is a function.
<h3>
What are the domain and the range of a relation?</h3>
- The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.
- The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
<h3>When does a relation represents a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that <u>each value of x is mapped to only one value of y</u>, that is, there are no vertically aligned points, hence the relation is a function.
More can be learned about relations and functions at brainly.com/question/12463448
#SPJ1
Answer: Third option.
Step-by-step explanation:
These are some transformations for a function f(x):
If 
, then the function is shifted down "k" units.
If 
, then the function is shifted right "k" units.
Knowing this we can describe the transformation from the graph of the function 
to the graph of the function 
. This is:
The function is the function but shifted right 3 units and shifted down 1 units.
Therefore, the correct option is the third one.
Trace paid 0.3(30) percent of the original price
