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: 3
Step-by-step explanation:
Distribute the 5: 15x-5=40
Add 5 from both sides: 15x=45
Divide 15 by both sides: 3
Answer:
x- 5
y- 6
Step-by-step explanation:
A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.
The proportional constant is 6.
18/3=6
42/7=7
54/9=6
Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.
Answer:
domain is all reall numbers
Answer:
$14,555.17
Step-by-step explanation:
initial investment, p = $8,000
rater, r = 6% = 0.06
Number of times compounded yearly = 12
Time, t = 10 years
Amount, A = p(1 + r/n)^tn
A = 8000(1 + 0.06/12)^10*12
A = $14,555.17
