Acar has an initial value of $20,000. the value then "depreciates" or decreases by 10% of its initial value each year. which equation below gives the value of the car, v, after y years? a) v= 0.10y+ 2,000 b) v= 0.10y -2,000 c) v=2,000y-20,000 d) v=-2,000y+20,000

D) v = -2,000y + 20,000.

Step-by-step explanation:

The question gives a linear relationship between two quantities.  This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant.  Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000.  Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000.  So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.  

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

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 ☺