To finish the table lets see what the differences are between the input (x) and the output (Y)
when input is 32 the output is 20, 32-20 = 12
when input is 14 the output is 2, 14-2 = 12
since the top 2 have the same result, the output is the input minus 12
now that we know that we can finish the table:
when the input is ? the output is -6, so the input = -6 +12 = 6
check: 6-12 = -6 true
when the input is -10, we subtract 12 to get -22 for the output
so the missing input is 6 and the missing output is -22
the function rule would be Y=x-12
Answer:
Amount she Receive in 5 years = $3506.37
Step-by-step explanation:
Given in question as
Ebonie invests amount in account = P = $2500
The interest rate she will have = 7%
The amount will keep in account for 5 years
Now we apply compound interest (CI ) to determine how much she will receive after 5 years ,
So , for CI
Amount = principal ( 1 + ^ T ,where T is Time
So, A = 2500 ( 1 +)^5
Or, A = 2500 (1.40255)
Or, A = $3506.37
Hence Amount she will receive $ 3506.37 Answer
At first we need to know how to find the distance between two parallel lines
The parallel lines which have the same slope
If we have two parallel lines ⇒ y₁ = mx + c₁ and y₂ = mx + c₂
So, the distance between y₁ and y₂ = d =
========================================================
Part (1):=======
<span>The distance between the lines
</span>
<span>
Y₁ = 3x + 10 and Y₂ = 3x - 20</span>
∴ m = 3 , c₁ = 10 and c₂ = -20
∴ d =
========================================================
Part (2):=======
<span>The distance between the lines
</span>
Y₁ = <span>3/2 x + 3/2</span> and Y₂ = <span>3/2 x - 5</span>
∴ m = 3/2 = 1.5 , c₁ = 3/2 = 1.5 and c₂ = -5
∴ d =