Answer:
y = -2
Step-by-step explanation:
The line that is perpendicular to y-axis will be a horizontal line so it's slope is 0 => y = 0x + b or y = b
Using (5,-2) => -2 = b => b = -2
then y = -2
24 sqrt 3
This can be answered using simple logic. The questions is asking for the length of the hypotenuse. The hypotenuse is the biggest side. solve for all the answers to find your answer.
Answer: 349.5 miles
<u>Step-by-step explanation:</u>
Use the formula distance (d) = rate (r) x time (t):
Since there are two different rates and times so solve each one separately and then add them together.

A) 0.9803; 0.4803
B) 32
We calculate the z-score for this problem by using the formula:

Using our formula, we have:

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.9803.
To find the probability it is between the mean and this, we subtract the probability associated with the mean (0.5) from this:
0.9803 - 0.5 = 0.4803.
To find B, we first find the z-score for this. Using a z-table (http://www.z-table.com) we see that the closest z-score would be 2.33. We then set up our equation as

Multiplying both sides by 0.85 we have
2.33(0.85) = 0.35√n
1.9805 = 0.35√n
Divide both sides by 0.35:
1.9805/0.35 = √n
Square both sides:
(1.9805/0.35)² = n
32 ≈ n
Answer: $22,063.2
Step-by-step explanation:
quarterly means that 4 times per year this interest, the balance can be find by the equation:
A = P*(1 + r/4)^(4*t)
Where P is the initial value, r is the rate of increase (7.3% in this case, but remember that you must use the decimal form; 0.073) and t is the number of years:
so we have:
B = $6,000*( (1 + 0.073/4)^(4*18) = $22,063.2