Answer:
1. Use a straightedge
2. Draw dots on the line to mark the starting point
3. Place the point of the compass on the point you made or was given
4. Extend the compass so that the pencil is on the 2nd point & make a an arc thru point B
5. Place the compass point on the starting point dot on the line and draw w/ the pencil to create an arc crossing the line.
Answer:
938383
Step-by-step explanation:
I am making this fake explanation for the points.. Got them, thanks!
Answer:
$3800
Step-by-step explanation:
When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points
y = 1200(x -2) +6200 . . . . . . . . . simplify some
y = 1200x -2400 +6200 . . . . . . simplify more
y = 1200x +3800 . . . . . . . . . . . . . completely simplify
When the number of years (x) is zero, the amount is 3800. The principal is $3800.
_____
The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.
_____
<em>Alternate solution</em>
You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...
$7400 -3600 = $3800 . . . . . principal amount
Answer:
f'(x) = 4
Step-by-step explanation:
- Derivative of 3 (constant number) is 0
- Derivative of 4x is 4
- f'(x) = 4 - 0 = 4
Answer:
<h3>
The number is 7</h3>
Step-by-step explanation:
x - a certain number
6x - - six times the number
6x-31 - six times the number less 31
3x - three times the number
3x-10 - 10 subtracted from three times the number
so the equation:
6x - 31 = 3x - 10
+31 +31
6x = 3x + 21
-3x - 3x
3x = 21
÷3 ÷3
x = 7
Check: 6•7-31=42-31=<u>11</u>; 3•7-10=21-10=<u>11</u>
