Use the example below to solve the exercise that follows….

Use the example below to solve the exercise that follows. Example: Write the equation of the circle in standard form. Then identify the center and radius.               x2-6x+y2+4y-9=3{“version”:”1.1″,”math”:”x2-6x+y2+4y-9=3″}Solution:             x2-6x+y2+4y-9=3×2-6x+y2+4y=12×2-6x+9+y2+4y+4=12+9+4(x-3)2+(y+2)2=25{“version”:”1.1″,”math”:”x2-6x+y2+4y-9=3×2-6x+y2+4y=12×2-6x+9+y2+4y+4=12+9+4(x-3)2+(y+2)2=25″}Answer:  Center is (3, -2){“version”:”1.1″,”math”:”(3, -2)”} and  r=5{“version”:”1.1″,”math”:”r=5″} Exercise: Write the equation of the circle in standard form. Then identify the center and radius.              x2+2x+y2-14y+43=0{“version”:”1.1″,”math”:”x2+2x+y2-14y+43=0″}Show your work in the box below.

Use the example below to solve the exercises that follow.   …

Use the example below to solve the exercises that follow.         Example:Determine whether the given polynomial is a perfect square trinomial, then factor it.          x2+14x+49{“version”:”1.1″,”math”:”x2+14x+49″} Solution:Determine whether the given polynomial is a perfect square trinomial (Step 1&2), then factor it (Step 3).Step 1: Check if the first and third terms are both perfect squares with positive coefficients:           x2 = (x)2{“version”:”1.1″,”math”:”x2 = (x)2″}  and 49 = (7)2{“version”:”1.1″,”math”:”49 = (7)2″}Step 2: Identify a{“version”:”1.1″,”math”:”a”}  and b{“version”:”1.1″,”math”:”b”} , and determine if the middle term equals 2ab{“version”:”1.1″,”math”:”2ab”}  or -2ab{“version”:”1.1″,”math”:”-2ab”}           a = x{“version”:”1.1″,”math”:”a = x”}  and b = 7{“version”:”1.1″,”math”:”b = 7″}          2ab = 2(x)(7) =14x{“version”:”1.1″,”math”:”2ab = 2(x)(7) =14x”}Step 3:Use the first formula if the middle term is positive, or the second, if the middle term is negative:        x2+14x+49=(x+7)2 {“version”:”1.1″,”math”:”x2+14x+49=(x+7)2 ”}Exercise 1:Determine whether the given polynomial is a perfect square trinomial by demonstrating in the box below the steps 1 and 2 from the example . If yes, then factor it. If not, then state so.        w2-16w+64{“version”:”1.1″,”math”:”w2-16w+64″}     Exercise 2:Determine whether the given polynomial is a perfect square trinomial by demonstrating in the box below the steps 1 and 2 from the example. If yes, then factor it. If not, then state so.          z2 +10z+100{“version”:”1.1″,”math”:”z2 +10z+100″}     Show all steps using the Graphical Equation Editor.    

A firm enters into a line of credit at the start of the year…

A firm enters into a line of credit at the start of the year. The firm is entitled to borrow up to $400 million and must pay 0.3% on any unused money it is allowed to borrow.  The borrowing rate is 3% a year on money borrowed (ignoring compounding of interest).  If the firm pays a 0.4% initiation fee on the maximum amount of the line of credit at the date of the agreement and borrows only $150 million at the start of the year and pays back none of this amount borrowed at the start of the year, what is the firm’s total expense due to the line of credit for the full year (including initial fees) – I do not want a present value here, just the total cost.  The answer should be in millions of dollars to two decimal places.

Use the example below to solve the exercise that follows….

Use the example below to solve the exercise that follows. Example: Write the equation of the circle in standard form. Then identify the center and radius.               x2-6x+y2+4y-9=3{“version”:”1.1″,”math”:”x2-6x+y2+4y-9=3″}Solution:             x2-6x+y2+4y-9=3×2-6x+y2+4y=12×2-6x+9+y2+4y+4=12+9+4(x-3)2+(y+2)2=25{“version”:”1.1″,”math”:”x2-6x+y2+4y-9=3×2-6x+y2+4y=12×2-6x+9+y2+4y+4=12+9+4(x-3)2+(y+2)2=25″}Answer:  Center is (3, -2){“version”:”1.1″,”math”:”(3, -2)”} and  r=5{“version”:”1.1″,”math”:”r=5″} Exercise: Write the equation of the circle in standard form. Then identify the center and radius.              x2+2x+y2-14y+43=0{“version”:”1.1″,”math”:”x2+2x+y2-14y+43=0″}Show your work in the box below.