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:
The cost per child is $9
Step-by-step explanation:
x + 3y = 40
2x + 3y = 53
x = 40 - 3y
2(40-3y) + 3y = 53
80 -6y + 3y = 53
80 - 3y = 53
-3y = 53 - 80
-3y = -27 (divide both sides by -3)
y = 9
This means that the cost per child is $9
Now solve for x
x = 40 - 3y
x = 40 - 3 (9)
x = 40 - 27
x = 13
Cost per parent is $13.
Answer:
It's $7
Step-by-step explanation:
7+7+7= 21 and add two $16 tickets and that's $53
Yes, because P(W & C) = P(W) + P(C).
No; because P(W & C) P(W) + P(C).
Yes; because P(W & C) = P(W) P(C).
No; because P(W & C)# P(W). P(C).
Answer: I just answered on USA Test prep
C.)
Yes; because P(W &C) = P(W) • P(C).
Step-by-step explanation: