y = __ x + ___
The generic equation of the line is:
Where,
m: slope of the line.
b: cutting point with vertical axis.
The slope of the line is given by:
The cutting point with the vertical axis is:
Therefore, the equation of the line is:
Answer:
the equation that represents Emily’s situation is:
Answer
Find out the amounts of the three parts of investments .
To proof
let us assume that first part of investment be = u
let us assume that second part of investment be = v
let us assume that third part of investment be = w
As given
An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.
than the equation is written in the form
u + v + w = 27000
.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.
8% is written in the decimal form
= 0.08
6% is written in the decimal form
= 0.06
9% is written in the decimal form
= 0.09
than the equation in the form
0.08u +0.06v +0.09w = 2130
equation written in the simple form
8u +6v +9w =213000
As given
the first investment was three times the interest from the second
u = 3v
Than the three equation in the form
u + v + w = 27000 , 8u +6v +9w =213000 , u = 3v
put this u = 3v in the equation u + v + w = 27000 , 8u +6v +9w =213000
than the equation
30v +9w + 213000
4v +w = 27000
multiply the 4v +w = 27000 by 9 and subtracted with 30v +9w + 213000
36v-30v +9w-9w =243000- 213000
6v = 30000
v =$5000
put this in the equation
u =3v
u = 3× 5000
u= $15000
put the value u , v in the equation u + v + w = 27000
5000 + 15000 +w = 27000
w = $7000
than the three part be $5000, $15000,$7000
Hence proved
Answer:
C
Step-by-step explanation:
Use Capitalization, ....
The principal has two bags with prize
tickets. The first bag has 4 'winning”
tickets and 8 "losing” tickets. The
second bag has 2 "winning tickets
and 8 “losing” tickets. A student wins
a prize if she draws a winning ticket
from each bag. If 360 students play
the game, how many are likely to win
a prize?
8 12 18 27
Answer:
1/2 (0.5)
Step-by-step explanation:
First, set up the problem. We can't just multiply -1 1/3 by -3/8.
-1 1/3 is equal to - (4/3)
Now, WE CAN multiply - (4/3) by -3/8
- (4/3) x (-3)/8 = ?
4 x (-3) = (-12)
3 x 8 = 24
(-12)/24 = 1/2