Answer:
17.907082 unit
Step-by-step explanation:
According to the Question,
Given, A circle with centre F, ∠EFG=54 and EF=19 .
length of arc EG = Radius(EF) × ∠EFG(in Radian)
- We Know, 1 degree = 0.0174533 Radian
- 54 degree = 0.942478 Radian
length of arc EG = 19 x 0.942478 ⇔ 17.907082 unit
(For Diagram please find in attachment)
Answer:
1. 
2. x = 16
3. Part 1: P is the independent variable and S is the dependent variable.
Part 2: x is the independent variable and y is the dependent variable.
Step-by-step explanation:
1. To write the function notation for:
Sales tax is 7% of the total price.
Let the total price be
.
And sales tax be
.
As per the given statement:

Writing it in the function notation:

2. To find the value of x such that
and

Putting the value of 

3. To find the dependent and independent variable.
Independent variables are those whose value is not dependent on the other variable's values.
Dependent variables are dependent on the value of other variables.
In question 1:

P is the independent variable.
S is the dependent variable.
In question 2:
If we write it as follows:

x is the independent variable and y is the dependent variable.
Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
![A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]](https://tex.z-dn.net/?f=A_n%20%3D%20P%28%201%20%2B%20r%29%5En%20-%20M%20%5Ctimes%20%5Cleft%20%5B%20%5Cdfrac%7B%281%20%2B%20r%29%5En-1%7D%7Br%7D%20%5Cright%20%5D)
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
![0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]](https://tex.z-dn.net/?f=0%20%3D%2034006%20%5Ctimes%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D%20-%20M%20%5Ctimes%20%5Cleft%20%5B%20%5Cdfrac%7B%5Cleft%20%281%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D-1%7D%7B%5Cdfrac%7B0.091%7D%7B12%7D%20%7D%20%5Cright%20%5D)
![M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85](https://tex.z-dn.net/?f=M%20%3D%20%5Cdfrac%7B34006%20%5Ctimes%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D%20%20%7D%7B%5Cleft%20%5B%20%5Cdfrac%7B%5Cleft%20%281%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D-1%7D%7B%5Cdfrac%7B0.091%7D%7B12%7D%20%7D%20%5Cright%20%5D%7D%20%5Capprox%20548.85)
Therefore, the approximate monthly payment = $548.85