Talia took out a loan to pay for textbooks. At the end of a year, Talia has to pay back the full loan amount, a plus interest. • Interest is calculated as 21% of the original amount.

• Talia paid a total amount
of $506 at the end of the year, including interest.
Which of the following equations can help you solve for the original loan amount, a?

A. 506 = 1.21a
B. 0.79a = 506
C . 506 = 21a
D. 0.21 + a = 506

step-by-step explanation:

the true ones are a b and d

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true