Answer:16.5
Step-by-step explanation: x+x+147=180
2x+147=180
2x=33
2x=33 divide by 2
x=16.5
Use the attached formula.
Years = ln (200 / 100) / .034
Years = ln (2) / .034
Years = 0.69314718056 / .034
Years =
<span>
<span>
<span>
20.3866817812
</span>
</span>
</span>
Years = 20.4
Source:
http://www.1728.org/rate2.htm
Answer:
a) 19 cm
Step-by-step explanation:
Area of a parallelogram: b • h
<u>Given values:</u>
- A = 228 cm²
- b = ? cm
- h = 12 cm
Substitute these values into the formula:
⇒ A = b • h
⇒ 228 = b • 12 [multiply]
⇒ 228 = 12b [divide both sides by 12]
⇒ 228 ÷ 12 = 12b ÷ 12
⇒ 19 = b
Therefore, the base of the parallelogram is 19 cm.
Answer:
<h3>-6</h3>
Step-by-step explanation:
Let the slope of the first line be m1
Let the slope of the second line be m2
If both lines are perpendicular, then;
m1m2 = -1
Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).
m1 = y2-y1/x2-x1
m1 = -k-0/2-(-2)
m1 = -k/4
Get the slope of the line 3y + 2x = 5
Rewrite the equation;
3y = -2x + 5
y = -2/3 x + 5/3
Hence the slope of the line m2 is -2/3
Since m1m2 = -1, then;
-k/4(-2/3) = -1
2k/12 = -1
k/6 = -1
k = -6
Hence the value of k is -6