How much should you budget for your total monthly expenses? A. $3,073.56 B. $2,906.90 C. $2,826.74 D. $3,129.89 Submit

Mathematics

1 answer:

worty [1.4K]1 year ago

7 0

Answer:

Step-by-step explanation:

the highest amount in any budget cause the money will go unused and rollover if good enough if to low you wont be able to budget all monthly expenses with certainty and dont round down a budget its money to good use otherwise your money isnt working for you and dont say 37,000 a year use a calculator every dollar counts.

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Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun

Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is $l$ by $h$ , the width of the strip of floor is $w$ .

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

$l*h=420$ (this says the area of the rug must be 420 square feet)

From the figure we see that

$l= 32-2w$

$h=19-2w$

Therefore,

$l*h=420\\\\(32-2w)(19-2w)=420$

We expand this equation and get:

$4w^2-102w+608=420\\\\4w^2-102w+188=0$

using the quadratic equation we get two solutions:

$w=2\\w=23.5$

since the second solution, namely $w=23.5$ , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take $w=2$ to be our solution.