Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
4 + -1 1/3
Turn 4 into an improper fraction.
4/4 is equal to 12/3. We want both 4 and 1 1/3 to have the same denominator so that they could be subtracted from each other.
New question :
12/3 + - 1 1/3
Turn {-1 1/3} into an improper fraction.
(3 × 1) + 1 = 4/3
So, -1 1/3 = -4/3
Our new question :
12/3 + - 4/3
Simplify.
12/3 - 4/3 = 8/3
Turn into a mixed number.
2 2/3
~Hope I helped!~
This problem is fairly simple if you know the exponential equation, you start with y=78(.17)^x. the you put 10=78(.17)^x, then you solve for x
10=78(.17)^x
-78
-68=.17^x
divide .17 then you have your answer!!
Answer:
Step-by-step explanation:
use y = mx + b where:
y = y-coordinate = 6
m = slope = -1/4
x = x-coordinate = -2
b = y-intercept = what we're solving for to complete the equation
plug the values into the equation
multiply 
and 2
subtract 
from both sides
now we plug m and b into the equation and leave x and y as variables to get the final equation:
Grand Total: $29.81
Total Bill: $24.84
Sales Tax (8%): $1.84
Total Tip (20%): $4.97
