Answer:
The original regular price for the coat is $90
Step-by-step explanation:
The given information in the question are;
The percentage that was off (removed) from the sale price = 30%
The sale price at which Jerry bought the coat = $63
Whereby the regular price = P, we have;
P - 30% of P = $63
P - 0.3×P = $63
P×(1 - 0.3) = $63
0.7·P = $63
P = $63/0.7 = $90
Therefore, the regular (original) price for the coat = $90
The coat regular price at which the coat is displayed is at $90.
Answer:

Step-by-step explanation:
Alrighty let's do this.
We know that formula for the Area of a triangle is:

They give us the area as
, so let's include it in the equation.

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that 
So replace
in the equation with
.
You will now get:

Now we can work towards solving. Let's get simplifying.

bring everything to one side so we can make a quadratic and factor:

We get that
.
Since we need the height of the triangle we'll need to call back on what h is. We found earlier that
, so to find h, we just sub in our b value into that.

We find that 
Answer: A. 664
Step-by-step explanation:
Given : A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic cable TV service.
But there is no information regarding the population proportion is mentioned.
Formula to find the samples size , if the prior estimate to the population proportion is unknown :

, where E = Margin of error.
z* = Two -tailed critical z-value
We know that critical value for 99% confidence interval =
[By z-table]
Margin of error = 0.05
Then, the minimum sample size would become :

Simplify,

Thus, the required sample size= 664
Hence, the correct answer is A. 664.
Answer:
the first one is 19-11
Step-by-step explanation:
Answer:
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