A cruise ship traveled 432 miles in 24 hours. What was its average rate of speed?
2 answers:
You might be interested in
Answer:
The distance of the point from the origin = 9.29 units.
Step-by-step explanation:
Given point:
(7,-6)
The angle lies such that the terminal side of the angle contains the given point.
To draw the angle and find the distance from the origin to the given point.
Solution:
The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.
So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.
We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.
Applying Pythagorean theorem.
Taking square root both sides :
Thus, the distance of the point from the origin = 9.29 units.
The figure is shown below.
The best buy is from dealership B because dealership B has a lesser base price
<h3>The add-on options</h3>For the purpose of this exercise, the add-on options to select are:
- Sunroof
- Keyless entry
The total amount of the add-on options is:
Total = $500 + $1500
Total = $2000
<u>The inequality</u>
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000
<u>Solve for x</u>
We have:
(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 17248.44
Divide both sides by (1 + 6.75%)
x ≤ 16157.79
The solution means that the base price of the car cannot exceed $16157.78 for dealership A
<u>The graph of the possible base price</u>
See attachment
<h3>Dealership B</h3>The total amount of the add-on options is:
Total = $750 + $1000
Total = $1750
<u>The inequality</u>
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000
<u>Solve for x</u>
We have:
(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 16725.28
Divide both sides by (1 + 6.75%)
x ≤ 15667.71
The solution means that the base price of the car cannot exceed $15667.71 for dealership B
<u>The graph of the possible base price</u>
See attachment
<h3>Where to buy from</h3>Buy from dealership B because dealership B has a lesser base price
Read more about inequality at:
#SPJ1
