Answer:
w = .5
Step-by-step explanation:
-4w + 18w+2=10 -6w
14w + 2 -2 = 10 -2 -6w
14w + 2w = 8 - 2w + 2w
16w = 8
16w/16 = 8/16
w = .5
9514 1404 393
Answer:
y = 5
Step-by-step explanation:
There are a number of ways to get there, but the short of it is that a horizontal line has the equation ...
y = constant
The constant value must be chosen to match the y-value of points on the line. Here, that is 5. The equation of the line is ...
y = 5
_____
<em>Another way</em>
You can write the equation in slope-intercept form if you know the slope and the y-intercept. The line crosses the y-axis at y = 5, so that is the value of the y-intercept.
The "rise" between the two points is 5 -5 = 0. The "run" between the two points is 5-0 = 5, so the slope is ...
m = rise/run = 0/5 = 0
Then the slope-intercept equation is ...
y = mx + b . . . . . where m is the slope and b is the y-intercept
y = 0x +5
Simplifying, we get ...
y = 5
Answer:
N = 920(1+0.03)^4t
Step-by-step explanation:
According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.
Rate is 12 % annually
rate in quarterly = 12/4= 3%
We will apply the compound interest equation:
N=P( 1+r/n)^nt
N= ending number of cars serviced.
P= the number of cars serviced in 2012,
r = interest rate
n = the number of compoundings per year
t= total number of years.
Number of compoundings for t years = n*t = 4t
Initial number of cars serviced=920
The quarterly rate of growth = n=4
r = 3%
The growth rate = 1.03
Compound period multiplied by number of years = 920(1.03)^4t
Thus N = 920(1+0.03)^4t
N = number of cars serviced after t years...
56% = 14 questions
1% = 14 ÷ 56 = 0.25 questions
100% = 0.25 x 100 = 25 questions
Answer: 25 questions.
