Answer:
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
30% = 30/100 = 30 ÷ 100 = 0.3.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 30% of its value.
Calculate the New Value
New value =
12 + Percentage increase =
12 + (30% × 12) =
12 + 30% × 12 =
(1 + 30%) × 12 =
(100% + 30%) × 12 =
130% × 12 =
130 ÷ 100 × 12 =
130 × 12 ÷ 100 =
1,560 ÷ 100 =
15.6
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 12 =
15.6 - 12 =
3.6
Step-by-step explanation:
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Answer:
x < -12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
16 < -2(x + 4)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -2: 16 < -2x - 8
- Add 8 to both sides: 24 < -2x
- Divide -2 on both sides: -12 > x
- Rewrite: x < -12
Here we see that any number <em>x</em> smaller than -12 would work as a solution to the inequality.
It's the division property of equality.
Step-by-step explanation:
9 × 1/2 = 4.5
8 × 1/2 = 4
hope it's helpful
Answer:
5.09 units
Step-by-step explanation:
Given equation
in the interval 
So we integrate
in the given interaval

Let us integrate
first.
let



Using integration by parts we get




So here
![\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units](https://tex.z-dn.net/?f=%5Cint%20f%28x%29%3D2%5Cint%5Climits%5E4_1%20%7B%5Cln%20x%7Ddx%5C%5C%20%3D2%28x%5Cln%20x-x%29_1%5E4%5C%5C%20%3D2%5B%284%5Cln%204-4%29-%281%5Cln%201-1%29%5D%5C%5C%20%3D2%5B4%5Cln%204-4%2B1%5D%5C%5C%20%3D5.09%5C%20units)
The area of the the region between the curve and horizontal axis is 5.09 units.