Answer:
$342
Step-by-step explanation:
Complete question
Find the simple interest on $1900 at 9% for 2 years.
Simple interest PRT/100
Given
Principal P = 1900
Rate R = 9%
Time T = 2years
Substitute
Simple interest = 1900*9*2/100
Simple interest = 19*18
Simple interest = $342
Hence the simple interest on $1900 at 9% for 2 years is $342
Let the length of the original hexagon be x:
the perimeter of the hexagon will be:
P=length*number of sides
P=6*x=6x
After the dilation the new length became:
length=scale factor × original length
=75 × x
=75x
thus the new perimeter will be:
6×75x
=450x
hence the new perimeter compared to the old one will be:
450x/6x
=75
the new perimeter is 75 times the old one
Answer:
y = -2x - 3
Step-by-step explanation:
Please look carefully at this graph. There are two red dots on the graph. The x- and y-coordinates of one are (-5,7) and those of the other are (0,-3).
Now as we move to the right, from (-5,7) to (0,-3), x increases by 5 and y decreases by 10 (note that 7-10 is -3). Thus, the slope of this line is
m = rise / run = -10/5, or m = -2.
Then the equation of this line, in point-slope form, is
y-7 = -2(x-[-5])x, or y-7 = -2(x+5). This is in point-slope form.
If you'd like to have it in slope-intercept form, manipulate y-7 = -2(x+5) as follows: (a) add 7 to both sides, obtaining y = -2(x+5) + 7, and (b) perform the indicated multiplication: y = -2x - 10 + 7, or y = -2x - 3.
Answer:
Step-by-step explanation:
1) 2 - (- 8) = 2 + 8 = 10
2) 2/5 + (- 1/5) = 2/5 - 1/5 = 1/5
3) We can find the common denominators through the least common multiple between the denominators:
4,12 | 2
2, 6 | 2
1, 3 | 3
1, 1 (2 × 2 × 3 = 12)
Then, 12 is the least common denominator.
4) 8 (1/4) + 10 (2/5) + 7 (5/8)
8 (1/4) = 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 1/4 = 33/4
10 (2/5) = 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 2/5 = 52/5
7 (5/8) = 8/8 + 8/8 + 8/8 + 8/8 + 8/8
+ 8/8 + 8/8 + 5/8 = 61/8
33/4 + 52/5 + 61/8
Employing the least common denominator:
4, 5, 8 | 2
2, 5, 4 | 2
1, 5, 2 | 2
1, 5, 1 | 5
1, 1, 1 (2 × 2 × 2 × 5 = 40)
(40 ÷ 4 × 33)/40 + (40 ÷ 5 × 52)/40 + (40 ÷ 8 × 61)/40
330/40 + 416/40 + 305/40
1051/40
This person ran about 26 Miles
I hope I helped you.
She would be wrong no class is worth paying attention to
