Answer:
20 movies ; $70
Step-by-step explanation:
Company 1:
Monthly charge = $40 ; additional = 1.5 per movie
Let number of movies = x ; t = cost
Equation 1:
y = 40 + 1.5x
Company 2:
Monthly charge = $30
Additional = $2 per movie
Equation 2:
y = 30 + 2x
1) for equation 1 = equation 2
40 + 1.5x = 30 + 2x
40 - 30 = 2x - 1.5x
10 = 0.5x
x = 10/0.5
x = 20
Hence, 20 movies
B.)
y = 30 + 2x
y = 30 + 2(20)
y = 30 + 40
y = $70
Answer:
The slope is 
$0.1774 / pounds
Step-by-step explanation:
From the question we are told that
The weight of the rat is 
The cost of feeding the rat per week is 
$4.50
The weight of a Beagle is 
The cost of feed a Beagle per week is 
$9.20
Now the slope can be evaluated mathematically as
substituting values
$0.1774 / pounds
Answer:
-2x² - 16x + 4
Step-by-step explanation:
Step 1: Write out expression
6x² - 9x + 3 - (8x² + 7x - 1)
Step 2: Distribute negative
6x² - 9x + 3 - 8x² - 7x + 1
Step 3: Combine like terms (x²)
-2x² - 9x + 3 - 7x + 1
Step 4: Combine like terms (x)
-2x² - 16x + 3 + 1
Step 5: Combine like terms (constants)
-2x² - 16x + 4
<h3>
Answer: Approximately 6.58 years old</h3>
The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.
==================================================
Explanation:
Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.
So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.
The value of r is r = 0.10 as its the decimal form of 10%
t is the unknown number of years we want to solve for
---------------------------
y = A(1 - r)^t
500 = 1000(1 - 0.1)^t
500 = 1000(0.9)^t
1000(0.9)^t = 500
0.9^t = 500/1000
0.9^t = 0.5
log( 0.9^t ) = log( 0.5 )
t*log( 0.9 ) = log( 0.5 )
t = log( 0.5 )/log( 0.9 )
t = 6.57881347896059
Note the use of logs to help us isolate the exponent.
Answer:
6
Step-by-step explanation:
I'm 99% sure you know the answer to this and didn't have to resort to this website.
3-5 = -2
Subtracting negative numbers means it becomes positive.
So the gist is that your adding 4 and 2 which is 6.
