Tom:
Previous balance: 2,452.64
payment: 160
new transaction: 138
APR: 15.6%
We need to divide APR by 12 to get the monthly rate: 15.6% / 12 = 1.3%
2,452.64 - 160 = 2,292.64
2,292.64 * 1.3% = 29.80 interest for the month. We did not include 138 because it still is within the 1 month period and it is not subject to interest. Only the revolving amount of 2,292.64 has interest.
2,292.64 + 29.80 + 138 = 2,460.44 NEW BALANCE OF TOM
Marco:
Unpaid credit card balance: 4,332.75
APR: 18.6%
New transaction: 432
Divide APR by 12 to get the monthly rate: 18.6% / 12 = 1.55%
4,332.75 * 1.55% = 67.16
4,332.75 + 67.16 + 432 = 4,831.91 NEW BALANCE OF MARCO
Answer:
The triangle is an obtuse scalene triangle
Step-by-step explanation:
we know that
if 
--------> is a right triangle
if 
--------> is an obtuse triangle
if 
--------> is an acute triangle
where
c is the greater side
we have
so
so
-------> is an obtuse triangle
Remember that
The given triangle has three different length side
so
Is a scalene triangle
therefore
The triangle is an obtuse scalene triangle
I would add 7 to get ...
... 2x² = 16
then divide by 2 to get
... x² = 8
Now, I would take the square root, recognizing that both positive and negative values will solve the problem.
... x = ±√8
The root can be simplified, so we have ...
... x = ±2√2
_____
The above method seemed the most obvious method to me. One could use the quadratic formula, but that seems to involve more operations.
... 2x² -16 = 0 . . . . subtract 9
... x = (-0 ± √(0² -4·2·(-16)))/(2·2) . . . . put the coefficients into the formula
... x = ±(√128)/4 = ±√8 = ±2√2 . . . . . simplify the result
Answer:
<h2><em><u>
960 people </u></em></h2>
Step-by-step explanation:
If each side of the basketball arena is 20 ft. X 30 ft, the area of each side of the basketball arena = 20ft * 30ft = 600ft².
Since all the four sides are filled with people, the total area of the 4 sides will be expressed as 4*600 = 2400ft²
If each person takes up 2.5ft², total number of people in the arena will be gotten by simply dividing the area of all the four sides by the area took up by each person.
Total number of people in the arena = area of all the four sides by the area/ area took up by each person.
Total number of people in the arena = 2400/2.5
Total number of people in the arena = 960 people.
<em><u></u></em>
<em><u>Hence there are approximately 960 people in the arena.</u></em>
Step-by-step explanation:
-2x - 10 = 14x - 7
-10 + 7 = 14x +2x
-3 = 16x
-3/16 =x
