Original Income = 15,000
New income = 20,000
The percentage Increase in the income can be calculated as:
%
The change in income = 20000 - 15000 = 5000
Using the values, we get:
%
=
%
This means, Pats income increased by 33.33% in a period of ten years
Answer:
0.24
Step-by-step explanation:
2.88/12=0.24
The length of the fifth piece is 2 3/4 inches.
Given:
1st piece of wood = 1 1/2 inches
2nd piece of wood = 1 13/16 inches
3rd piece of wood = 2 1/8 inches
f(n) = 1st term + common difference(n-1)
To get the common difference, we need to deduct the fraction from its preceding fraction.
1st piece: 1 1/2 = (2*1 + 1)/2 = 3/2
2nd piece: 1 13/16 = (16*1+13)/16 = 29/16
3rd piece: 2 1/8 = (8*2+1)/8 = 17/8
29/16 - 3/2 = 29/16 - (3/2 * 8/8) = 29/16 - 24/16 = (29-24)/16 = 5/16
17/8 - 29/16 = (17/8 *2/2) - 29/16 = 34/16 - 29/16 = (34-29)/16 = 5/16
Find: 5th piece's measurement
1st term : 1 1/2 or 3/2
common difference : 5/16
f(5) = 3/2 + 5/16 (5-1)
= 3/2 + 5/16 (4)
= 3/2 + (5*4)/16
= 3/2 + 20/16
= (3/2 * 8/8) + 20/16
= 24/16 + 20/16
= (24 + 20)/16
f(5) = 44/16
f(5) = 2 12/16 simplified to 2 3/4 inches.
Answer:
The answer is
<h2>(9x - 4)(4x + 3)</h2>
Step-by-step explanation:
36x² + 11x - 12
To factor the expression rewrite 11x as a difference
That's
36x² + 27x - 16x - 12
<u>Factor out 9x from the expression</u>
9x( 4x + 3) - 16x - 12
<u>Factor out - 4 from the expression</u>
9x( 4x + 3) - 4( 4x + 3)
Factor out 4x + 3 from the expression
We have the final answer as
<h3>(9x - 4)(4x + 3)</h3>
Hope this helps you
24/108= 6/27 (divided by 4)
6/27= 2/9 (divided by 3) or 0.222222
