Each month ZV Corp (Zebra Vehicles where all paint jobs are striped) makes 230 A vehicles which get 10mpg, 500 B vehicles which get 20mpg, and 70 C vehicles which get 40mpg. Unfortunately, the government sets a standard where companies must "average" 30mpg (this is called a CAFE law). Any company that falls short of the 30mpg standard must pay a penalty. The penalty is calculated as $55 times number of vehicles sold each month times the deficit in their average mpg from the 30mpg standard. • Compute ZV Corp's monthly penalty if the government incorrectly uses (weighted) arithmetic mean to compute average mpg. • Compute ZV Corp's monthly penalty if the correct Harmonic Mean is used. • ZV Corp is beginning to make a D vehicle which gets 75mpg. They estimate initially adding 2 D vehicles to their production each month. Compute their new monthly penalty. • Write a summary of this situation (probably multiple paragraphs).

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

i believe that the slope of the line is -5

step-by-step explanation: