Answer:
[tex]Q_n=(2000)-(20)P_n[/tex]
Step-by-step explanation:
From the question we are told that:
Initial Quantity demanded Q_1= 200 units
Initial demand price [tex]P_1=\$90[/tex]
Final Quantity demanded [tex]Q_2= 1200 units[/tex]
Final demand price [tex]P_2=\$40[/tex]
Generally the Demand Equation is mathematically given by
[tex]Q_n=a-bP_n[/tex]
Where
a=Other factors affecting price
b=Slope of the demand curve
Therefore
[tex]Q_1=a-bP_1[/tex]
[tex]200=a-b(90)[/tex]
[tex]Q_2=a-bP_2[/tex]
[tex]1200=a-b(40)[/tex]
Comparing both above equations
[tex]a=2000[/tex]
[tex]b=20[/tex]
Therefore the Demand Equation is mathematically given by
[tex]Q_n=(2000)-(20)P_n[/tex]
Find each measure below.
arc SR=
Answer:
Measure of arc SR = 62°
Step-by-step explanation:
By using the property,
"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."
m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]
m(arc SR) = 2m∠SUR
= 2(31°)
= 62°
SOMEONE ANSWER QUICK!!
Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??
Answer:
3/4 of a pizza leftover.
Step-by-step explanation:
2 7/12 + 2/3 = 3 1/4
4 - 3 1/4 = 3/4
so 3/4 of 1 pizza is left.
Write the equation of a line that goes through the points (2, -2) and (1, -8)
show work i will appreciate it
Answer:
y=6x-14
Step-by-step explanation:
m=-8-(-2)/1-2
m=-8+2/1-2
m=-6/-1
m=6
y-y1=m(x-x1)
y-(-2)=6(x-2)
y+2=6x-12
y=6x-2-12
y=6x-14
Square contains 4cm. find the area of the shape.
Answer:
Step-by-step explanation:
'Area of a square' formula is A = s^2, where s in the length of one side.
Here, with s = 4 cm, A = 16 cm^2
Find three consecutive even integers such that the square of the first is 80 less than the square of the third. [Only an algebraic solution will be accepted.]
Answer:
First number = 19
Second consecutive = 20
Third consecutive = 21
Step-by-step explanation:
Assume;
First number = x
So,
Second consecutive = x + 1
Third consecutive = x + 1 + 1 = x + 2
So,
(x + 2)² - x² = 80
x² + 2(2)(x) + 2² - x² = 80
x² + 4x + 4 - x² = 80
4x + 4 = 80
4x = 80 - 4
4x = 76
x = 76 / 4
x = 19
First number = x
First number = 19
Second consecutive = x + 1
Second consecutive = 19 + 1
Second consecutive = 20
Third consecutive = x + 2
Third consecutive = 19 + 2
Third consecutive = 21
At the end of 7 years, an investment with a discount rate of 12% is worth $300. What is the present value?
The present value is $ _____
Step-by-step explanation:
Apr=Annual × percentage× rate
7years × 12% × $300
= 36000.
The present value of the annuity will be $135.
What is present value?
The current value of a certain amount in the future by methods of charging compounded interest is known as present value. By using the given information, the present value can be calculated as,
[tex]\rm Present\ Value= FV\ x\ \dfrac{1}{(1+r)^n}\\\\\rm Present\ Value=300\ x\ \dfrac{1}{(1+0.07)^1^2}\\\\\rm Present\ Value=\$135.70[/tex]
Hence, the present value is calculated as above.
Learn more about present value here:
https://brainly.com/question/17322936
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Can someone pls help me
Answer:
around 5,-5
Step-by-step explanation:
since its gona move 3 units up and 3 units left
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism.
Answer:
Me too, I need this 12
Step-by-step explanation:
Ughh
Lines L and M are parallel
LY
3
2/5
16
38° 7
- М
Find : mz6
Enter the number that
belongs in the green box
?
Someone help me please?
Answer:
38 degrees
Step-by-step explanation:
Angle 6 and the angle that we already know the measurement of are vertical angles.
And vertical angles are always equal to each other, so that means that the measure of angle 6 is also 38 degrees.
PLEASE HELP ASAP!!!
Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.
○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem
The population of Bengal tigers in a region of India can be modeled by the function P = 450(0.85), where P is the
population and I is the number of years since 2000.
What is the Bengal tiger population in 2000?
and by what percent does the tiger population decrease each year?
Answer:
(a) The population in 2000 is 450
(b) 15% decreases each year
Step-by-step explanation:
Given
[tex]P = 450(0.85)^t[/tex] --- since 2000
[tex]P \to Population[/tex]
[tex]t \to years[/tex]
Solving (a): The population in 2000
First calculate t
[tex]t = 2000 - 2000[/tex] --- years since 200
[tex]t = 0[/tex]
So, we have:
[tex]P = 450(0.85)^t[/tex]
[tex]P = 450 * 0.85^0[/tex]
[tex]P = 450 * 1[/tex]
[tex]P = 450[/tex]
Solving (b): Rate of population decrease
A function that decreases is represented as:
[tex]P(t) = a(1 - r)^t[/tex]
Where
[tex]r \to[/tex] rate of decrement
Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]
[tex]1- r = 0.85[/tex]
Collect like terms
[tex]r = 1 - 0.85[/tex]
[tex]r = 0.15[/tex]
Express as percentage
[tex]r = 15\%[/tex]
Evaluate the expression 4x^2 + 3y for x = 5 and = 6.
Answer: 118
Step-by-step explanation:
Whats the volume help pls
Answer:
36 Cubic Units
Step-by-step explanation:
Volume of a cube: Length x Width x Height
4 x 3 x 3 = 36
Find the solution of the system of equations.
15x -4y = -50
3x - 2y = -16
Answer:
15x - 4y =-50 -----(i)
3x - 2y=-16 --------(ii)
Using Substitution
From (i)
15x=4y-50
x=4y-50/15
Substitute x=4y-50/[15] into eqn (ii)
3x - 2y= -16
3[4y-50]/15 - 2y =-16
Multiply through by 15 to clear the fraction
3(4y - 50) - 30y=-240
12y - 150 -30y=-240
12y-30y=-240+150
-18y = -90
y=90/18
y=5.
Substitute into any eqn of choice to get x
3x - 2y=-16
3x - 2(5)=-16
3x - 10=-16
3x=-16+10
3x=-6
x=-6/3
x=-2.
x= -2
y=5
what is the exterior angle theorem
Answer:
Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
Step-by-step explanation:
Can somebody please explain to me what tessellation is?
Answer:
A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.
Step-by-step explanation:
Dan walks around the block. The block is 200 feet wide and 800 feet long. How many feet did he walk?
Answer:
2000 feet
Step-by-step explanation:
200*2=400
800*2=1600
400+1600=2000
1. There are two small rectangles in this picture that make one large rectangle. How
could
you
find the area of the large rectangle?
10
My thoughts/workspace
3
5
What is the area of the large rectangle?
units?
Answer:
Finding the area of a large rectangle is A = l × b
Step-by-step explanation:
A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,
Example: (a=lxb) + (a=lxb) = Area of big rectangle
A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase
Find the approximant radius of a circle with a circumference of 34.48 inches. Use 3.14 for π Round to the nearest hundredth
Answer:
5.49 inches
Step-by-step explanation:
Given data
Circumference= 34.48inches
The expression for the circumference of a circle is
C= 2πr
Make r the subject of formula
r= C/2π
r= 34.48/2*3.14
r= 34.48/6.28
r= 5.49 inches
Hence the radius is 5.49 inches
POSSIBLE PONTS 10
6. Which of the following visual representations correctly displays a relationship between sets of real numbers?
F
H.
Irrational
Real
Rational
Irrational
Rational
Real
Real
Rational Real Irrational
Rational
Irrational
Answer:
hey there buddy
Step-by-step explanation:
Find the slope of the line represented by the table. Show all work
I need correct answer please!:)
Answer:
G. Angle NKL is congruent to angle ZWX is the answer
Step-by-step explanation:
Hope it helps you:)
Solve for j jj. j − 2 + 7 = − 12 −2 j +7=
Answer:
j= -10/3
Step-by-step explanation:
j - 2 + 7 = - 12 - 2j + 7
*add -2 and 7 to get 5
j + 5 = -12 - 2j + 7
*add -12 and 7 to get -5
j + 5 = -5 - 2j
*add 2j to both sides
3j + 5 = -5
*subtract 5 from both sides
3j = -10
*divide both sides by 3
j= -10/3
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
Avery is currently making $14 per hour at her job. Her boss gives her a 15% raise for showing good work ethic.
If she works 40 hours per week, how much more will Avery be making than before her 15% raise?
A.$15.00
B.$280.00
C.$84.00
D.$116.00
Answer:
C) $84
Step-by-step explanation:
40 x 14 = 560
she made $560 prior to raise
14 x 1.15 = 16.10
her new hourly rate is $16.10
40 x 16.1 = 644
she now earns $644 per week
644 - 560 = 84
Which of these is a two-step equation? Ax + 9 = 21incorrect answer Bx = 11 + 2incorrect answer C2x + 9 = 21incorrect answer Dx/3 = 9
Answer:
2x + 9 = 21
Step-by-step explanation:
Looking at option C;
2x + 9 = 21
Step 1: Subtract 9 from both sides
2x+9 - 9 = 21 - 9
2x = 12
Step 2: divide both sides by 2
2x/2 = 12/2
x = 6
Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps
This dot plot shows the number of runs scored by the yellow jackets in their last 12 baseball games
Answer:
Symmetric, If you fold the graph along the median, the point will almost match.
Step-by-step explanation:
The dot plot shows an approximately normal distribution with the peak being approximately in the centre and the tail shared to either sides of the peak. The median seem to reside at the centre of the distribution as well.
The median = 1/2(n+1)th term
n = 12
1/2(13)th term
Median = 6.5 term
Median = (6+6) /2 = 12/2 = 6
Help pleaseeeeeeeeeee
Answer:
Step-by-step explanation:
-3,5 to find it first go over then go up and you have your answer
Answer:
The answer is (5, -3)
Hope this helps!
Mark me brainliest if I'm right :)
#2: Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?
Answer:
yes
Step-by-step explanation:
$60×25%=$15...so the coupon she have worth $15 but she also have $50
so she has an overall of $65 she can use
but she must pay sales tax:$60×6,75%=$4.05
so then the overall money that she must pay for the printer is $60+$4.05=$64.05
so then the difference of her money and the price of the printer is:
$65-$64.05=$0.95
$0.95 is left over