You are planning a trip to Spain in the summer of 2009. You estimate for an entire month in Spain, you will need $7,139.00 (This includes Airfare, room and board, daily expenses, and a Eurail Pass). You save for 7 months and your monthly gross salary is $2770.22. Given that Social Security is 6.2% of your semi-monthly income, Medicare is 1.45% of your semi-monthly income, your monthly expenses are $1,200, and you pay State and Federal taxes in the amount of $52.00 and $101.00 respectively semi-monthly, how much will you have saved up and will you have saved enough to visit Spain in August? Round all your answers to the nearest cent.

Save: $7,366.1

=> Enough to visit Spain in August

Step-by-step explanation:

Semi monthly salary is: $2770.22/2 = $1385.11

- Semi-monthly payment for Social Security is: $1385.11 x 6.2% = $85.88

=> 7-month payment for Social Security is: $85.88 x 14 = $1,202.32

- Semi-monthly payment for Medicare is: $1385.11 x 1.45% = $20.08

=> 7-month payment for Medicare is: $20.08 x 14 = $281.12

- 7-month expenses are: $1,200 x 7 = $8,400

- 7-month payment for State taxes is: $52 x 14 =$728

- 7-month payment for Federal taxes is: $101 x 14 =$1,414

=> Total expenditure in 7 months: 1,202.32 + 281.12 + 8,400 + 728 + 1,414 = $12,025.44

Total salary in 7 months: $2770.22 x 7 = $19,391.54

=> Total saving in 7 months: 19,391.54 - 12,025.44 = $7,366.1

=> ENough to visit SPain in August

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be