PLZ HELP WILL PICK BRAINIEST
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?
Complete the steps below to solve the problem.

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

Plz Help Me

Answer

In order to buy the new car, Nancy

paid $1,500 up front and took out a loan for the rest of the amount.

Let x = The amount of loan that she took.

The interest rate on the loan is 5%.

This means that she paid interest of 5/100 × x = 0.05 × x

= 0.05x

If the total cost of buying the car (including the interest Nancy owes) is more than $16,213.02,

It means that

1,500 + x + 0.05x is greater than 16,213.02

1500 + 1.05x = 16213.02

1.05x = 16,213.02 - 1500

1.05x = 114713.02

x = 114713.02/1.05

x = $109250 .49524

The amount that Nancy borrowed is greater than $109250 .49524

amount borrowed + interest = x+5% of x

                                              = x + 5/100x

                                              = x + 0.05x

                                              = 1.05x

The expression 1.05x represents the sum of the amount Nancy borrowed and the interest she owes on that amount.

Step-by-step explanation:

Step-by-step explanation:

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