Answer:
$31.37 is the sale price
Step-by-step explanation:
All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.
1. Store A. 40% off the original price of $159.99
63.996 is the discount price we are looking for
2. Store B. 25% off the original price of $130.50
32.625 is the discount price we are looking for
3. Now to find their difference you just subtract the two values.
The discount price (sale price) is $31.371
Answer:
∠XDQ : 41°
∠UXD: 139 °
Step-by-step explanation:
Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.
<em>A segment XD is drawn in rectangle QUAD as shown below. </em>
<em>What are the measures of ∠XDQ and ∠UXD ? </em>
My answer:
As we can see in the photo, ∠ADX = 49° and ∠ADU =90°
=> ∠XDQ = ∠ADU - ∠ADX
= 90° - 49° = 41°
In the triangle ADX, we can find out the angle of ∠DXA
= 180° - ∠DAX - ∠ADX
= 180° - 90° - 49°
= 41°
=> <em>∠UXD = </em>180° - ∠DXA (Because UA is a straight line)
=180° - 41°
= 139 °
The demand equation is P = -0.05x + 105
STEP - BY - STEP EXPLANATION
What to find?
<em>The demand equation.</em>
The following information is used to solve the problem.
If (x₁ , y₁) and (x₂, y₂) are any dinstinct points on a line a non-vertical line L, then the equation of the line that has a slope(m) and passes through the point (x₁ , y₁) is given by the formula below:
Assume p, be the unit price and x be the demand when the price is $p.
From the question given, when the unit price x = 300 units, the demand p = $90 and when the unit price x = 1300 units, the demand p = $40
This means the demand curve passes through the points (300, 90) and (1300, 40).
Assume the demand equation is linear, then the line of the equation passes through the points (300, 90) and (1300, 40).
Now;
y=p x₁ =300 y₁ = 90 x₂ = 1300 y₂=40
Substitute the values into the function and simplify.
Simplify the above.
Open the parenthesis.
P- 90 = -0.05x + 15
Add 90 to both-side of the equation.
P = -0.05x + 15 + 90
P = -0.05x + 105
Hence, the demand function is P = -0.05x + 105