Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440 paid off the loan. How much did Mr. Noel originally borrow?

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 1

Amount paid off A = Principal+Interest

A = P+I 2

From equation 2; I = A-P 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

Hence the amount Mr Noel originally borrow is $400

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.