Answer:
A) Area = 
B) Domain = {x < 24}
Step-by-step explanation:
<u>Complete Question:</u>
A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
A) express the area of the play space as a function of x
B) find the domain of the function
Solution:
A)
The rectangle has area of length * width
length is x
so width will be 24 - x
Hence, the area will be:
Area = x(24 - x)
Area = 
B)
Domain is the set of x values that make the function defined.
The domain will be all values less than 24.
Because if you take 24, the area would be 0 [doesn't make sense]
if you take anything over 24, the area would be negative [not possible]
Hence, the domain is:
Domain = {x < 24}
Answer Interest rate = 12.3%
The compound interest formula is given by:
Where
A = Future amount
P = Present amount (Principal amount)
r = Interest rate in decimal form
n = No. of times compounded per year
t = time in years.
We can say that if:
Present amount = P
Future amount = 3P
r = 12.3/100 = 0.123
n = 1
t = ?
Substitute the values in the formula of compound interest:
Taking log on both sides.
Round off to nearest option
t ≅ 9 years
N would equal 45° since the tiny square means its 90°. 90-45=45.
Answer:

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

and solving for b we got:

And then we can conclude that she earns 60 for each TV
Step-by-step explanation:
For this case we can set a linear model like this:

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

and solving for b we got:

And then we can conclude that she earns 60 for each TV