Answer:
nonproportional
Step-by-step explanation:
x + 3
------- is definitely nonproportional. The reason for this is that the graph (a
8 straight line) does not pass through the
origin; it's offset by 3/8 unit up from the
origin.
I'm sorry but what was the question? Uploading the Image would be helpful.
The formula of the future value of annuity due is
A=p [(1+r/k)^(kn)-1)/(r/k)]×(1+r/k)
A future value of annuity due
P payment 125
R interest rate 0.0375
K compounded monthly 12
N time 8 years
Solve for A
A=125×(((1+0.0375÷12)^(12
×8)−1)÷(0.0375÷12))×(1
+0.0375÷12)
=14,012.75
Answer:
35 hotdogs
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hotdogs and sodas.
Let the number of hot dogs be represented by x
The number of soda be represented by y
You sold a total of 87 hotdogs and sodas combined
x + y = 87
x = 87 - y
Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.
Hence we have the equation:
$1.50 × x + $0.50 × y = $78.50
1.50x + 0.50y = 78.50
Substitute 87 - y for x
1.50(87 - y) + 0.50y = 78.50
130.5 - 1.50y + 0.50y = 78.50
Collect like terms
- 1.50y + 0.50y = 78.50 - 130.50
-1.00y = -52
y = -52/-1
y = 52 sodas
How many hotdogs did you sell?
Using the equation:
x = 87 - y
x = 87 - 52
x = 35 hotdogs
Hence, you sold 35 hotdogs
The lines are parallel, because they have the same gradient but are just in different positions ie. y = x-9.
