To avoid a service fee, your checking account balance must be at least $250 at the end of each month. your current balance is $277.05. you use your debit card to spend $134.69. what possible amounts can you deposit into your account by the end of the month to avoid paying the service fee?

A deposit of $107.64 will waive the service fee.

Step-by-step explanation:

Subtracting $134.69 from $277.05 yields $142.36.  

You must increase this $142.36 to $250 to avoid the service fee.

Subtracting $142.36 from $250, you get  $107.64.

A deposit of $107.64 will waive the service fee.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

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