40000+1000x=60000
-40000. -40000
1000x=20000
x=20
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

so substituting the value of m in to the equation

=

as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
Answer:
$6.30
Step-by-step explanation:
Your parents took your family out to dinner. the parents wanted to give the waiter a 15% tip. if the total amount of the dinner was $42,00 what should be paid to the waiter as a tip?
Answer:
4:3
Step-by-step explanation:
a+b = 7 units
a = 4 units
b = 7 - 4 units
Thus,
a:b
-----
4:3
Discounted at 15% off....means the kid actually paid 85%
0.85(18) = 15.30
and then there is the 6% sales tax...
15.30 * 1.06 = 16.218 rounds to $ 16.22 <== what she pays