3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)
From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . . (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)
(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5
From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3
x = 3, y = 0.5, z = -3.5
Answer:
The half life of the car is 3.98 years.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
In which V(0) is the initial value and r is the constant decay rate, as a decimal.
The value of a certain car decreases by 16% each year.
This means that 
So
What is the 1⁄2-life of the car?
This is t for which V(t) = 0.5V(0). So
The half life of the car is 3.98 years.
Answer:
Step-by-step explanatinon:
percent is per hundred
4 dimes is 40 cents or $0.40 or 40/100 of a dollar which is40%
1 nickel and 3 pennies or 8 cents or $0.08 Or 8/100 or 8%
5 quarters and one dime is 135/100 or $1.35 or 135/100 which is 135%
Answer:
A. 8 and 9
Step-by-step explanation:
Between which two consecutive whole numbers does √ 78 lie?
a.
8 and 9
b.
6 and 7
c.
9 and 10
d.
7 and 8
A. 8 and 9
8^2 = 8 × 8 = 64
9^2 = 9 × 9 = 81
B. 6 and 7
6^2 = 6 × 6 = 36
7^2 = 7 × 7 = 49
C. 9 and 12
9^2 = 9 × 9 = 81
12^2 = 12 × 12 = 144
D. 7 and 8
7^2 = 7 × 7 = 49
8^2 = 8 × 8 = 64
The correct answer is A. 8 and 9
Answer:
Step-by-step explanation:
Given
Required
Determine the sales price
First, we calculate the discount price
The sales price is then calculated by subtracting the discount price from the original price of the item
