Find the value of the annuity and the interest. Round to the nearest dollar. Periodic Deposit: $50 at the end of every month Rate: 4.25% compounded monthly Time: 9 years

Therefore the value annuity is $6,564.06.

The interest is $1,164.06.

Step-by-step explanation:

The compound monthly interest formula

Here

S= The future value.

P= Periodic investment= $50

r= rate of interest= 4.25%= 0.0425

t = time in year= 9 year.

n= 12 [ Since compounded monthly]

Putting the all values

 =$6,564.06 (approx)

Therefore the value annuity is $6,564.06.

The periodic deposit $50 at the end of every month for 9 year.

9 year= (12×9) months

Total deposit =$ (50×12×9)

                       =$5,400

Interest = Future value - Total deposit

            =$(6,564.06-5,400)

            =$1,164.06

The interest is $1,164.06.

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