Afamily creates a monthly budget based on their combined wages and expenses for one month. use the family’s budget to determine if the family will experience a monetary surplus or shortage for the month. 1). calculate the difference between the total budgeted expenses and total actual expenses. 2). calculate the total surplus/shortage amount for the month. the family sets a goal to deposit a minimum of $1,500.00 into a savings account each month. 3). in two or more complete sentences, describe whether or not your calculations in parts a and b support the family’s goal? include specific monetary values listed in the family’s budget and recommend changes in the family’s variable costs that would allow the family to save more money this month.

This race was first held in 1953 on august 16th. every decade the race finishes with a festival. how many years is this?

Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24