Daniel's age is X
Daniel's brother age is Y
X = 3 + ( 2Y )
Y = ( X - 3 ) / 2
In case of Daniel is 17
then his brother's age is = ( 17 - 3 ) / 2 = 7 years
The best batch size is 1053.
Since 5% have failed, this means 95% have passed the test.
95% = 95/100 = 0.95
We can set up an equation to answer this:
0.95x = 1000
Divide both sides by 0.95:
0.95x/0.95 = 1000/0.95
x = 1052.6 ≈ 1053
6x^2 - 8 = 4x^2 + 7x
6x^2 - 4x^2 - 7x - 8 = 0
2x^2 - 7x - 8 = 0
discriminant = b^2 - 4ac; where a = 2, b = -7 and c = -8
d = (-7)^2 - 4(2)(-8)
d = 49 + 64
d = 113
the discriminant is greater than zero, so there are two real roots
To find the car's total price, add the tax paid to the car's original price.
$32800 + $1968 = $34768
The total cost is $34,768
