PLEASE PLEASE ANSWER EACH QUESTION SEPARATELY! :((

Nancy is the proud owner of a new car. She paid $1,500 up front and took out a loan for the rest of the amount. The interest rate on the loan is 5%. If the total cost of buying the car (including the interest Nancy owes) is more than $16,213.02, how much money did Nancy borrow?

Part A
Assume that X represents the amount of money Nancy borrowed. Write an expression that represents the amount borrowed (the principal) plus the interest owed on that amount.

Part B
Write an expression to represent Nancy’s total cost of buying the car.

Part C
Write an inequality using the expression from part B to represent this scenario.

Part D
Solve the inequality for the variable x. Use opposite operations on both sides of the inequality until you get x on one side of the inequality by itself.

Part E
What does the result from part D tell you about Nancy’s situation?

Part F
Think about graphing the inequality you found in part D on a number line. What would it look like?

Choose the correct number:

open circle on 14,012.40 and arrow pointing right
open circle on 14,012.40 and arrow pointing left
closed circle on 14,012.40 and arrow pointing right
closed circle on 14,012.40 and arrow pointing left

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