Answer:
Step-by-step explanation:
Given the approximate demand function of night drink expressed as;
p^2+200q^2=177,
p is the price (in dollars) and;
q is the quantity demanded (in thousands).
Given
p = $7
q = 800
Required
dq/dp
Differentiating the function implicitly with respect to p shown;
2p + 400d dq/dp = 0
400q dq/dp = -2p
200qdq/dp = -p
dq/dp = -p/100q
substitute p and q into the resulting equation;
dq/dp = -7/100(800)
dq/dp = -7/80000
dq/dp = -0.0000875
This means that the rate of change of quantity demanded with respect to the price is -0.0000875
The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)
Please, help I am really confused!
Answer:
2.57575758
Explanation:
42.5 / 16.5
3-for-1 split. After the split, the price of one share was $39.24. What was the pre-split price per share?
======================================================
Explanation:
Let's say that the company is valued at $300 just as a simple example.
Also, let's say there are 100 shares each worth $3, so we have 100*3 = 300 as the total value of the company.
A 3-for-1 split means that for each share, it will get turned into 3 shares. So you turn in 1 share and in return you get 3 shares back. Or put another way, each share is ripped/cut into 3 equal pieces.
After doing this split, we would have 3*100 = 300 shares and each share would be now worth (1/3)*3 = 1 dollar. Note the new number of shares multiplied with the new value per share is still the same total valuation of $300. Doing a stock split, or a reverse stock split, will not change the value of the company. This is a good thing or else companies would simply do (reverse) splits all the time to increase their value however large they wanted without actually contributing anything to society.
------------------------
So quite simply, when we do a 3-for-1 split, we multiply the old price per share by 1/3 to get the new price per share.
Let
x = old price per share
y = new price per share
So x happens before the split and y is after the split.
For a 3-to-1 split, we can form this equation
y = (1/3)x
which solves to
x = 3y
when we multiply both sides by 3
We know that y = 39.24, which means,
x = 3y
x = 3*39.24
x = 117.72
The pre-split price per share was $117.72
------------------------
So in short, all we did was multiply the given number (39.24) by 3.
Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on exam
Answer:
30 questions
Step-by-step explanation:
if you cross multiply and divide like this,
[tex]\frac{27}{x}= \frac{90}{100}[/tex]
27 x 100 = 2700
2700 / 90 = 30
you'll get ; 30 !
Answer:
There are 30 total questions on the exam
Explanation:
90% = 0.9
0.9 x TOTAL = 27
27/ 0.9 = TOTAL
30 = TOTAL
Simplify:
8.7 + 3.2(2p – q) + 2.55 p
Answer:
8.95p-3.2q+8.7
Step-by-step explanation:
Answer:
8.95, 3.2, 8.7
Step-by-step explanation:
How many solutions can be found in this equation 4x - 8 - 4x = 9?
0
1
2
or infinet
Please help me ASAP
:D
Answer: I think it 616lbs not 100% sure
Step-by-step explanation:
10^2 = 100 + 64 sweet potatoes = 164
10^1 = 10+80 tangerines= 90
10^3= 300 + 62 spaghetti squash = 362
Determine if the two triangles are congruent.
Answer:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Evaluate the following expression. Type your answer as a number.
8 + 23 - (4 × 3) =
the 23 is a exponet jus to let you know
its 2
Hope this helps! <3
Why would a deferred annuity or annuities due be preferred as a retirement investment?
I believe the answer is: The tax deferred nature.
Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.
Which sets of values belongs to the domain and range of a relation
full answer:
As we know that
The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.
The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.
As
The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.
The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.
So, in the set of ordered pairs of a relation
Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?
Answer:
Step-by-step explanation:
Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.
The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.
In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:
P = 4s = 4(10.8) = 43.2 feet
Therefore, Rob needs 43.2 feet of border to place around the ceiling.
Since he has purchased 50 feet of border, he will have:
50 - 43.2 = 6.8 feet
Rob will have 6.8 feet of border left after placing it around the ceiling.
To learn more about distance from the given link:
https://brainly.com/question/30923151
#SPJ1
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.875
Step-by-step explanation:
For 1 hour you get $7.75
To find how much money you make in 28.5 hours... you multiply the number of hours with the number of dollars.
28.5 * 7.75
$220.875
Solve for p.
i = prt
p = i-rt
p = (rt)/i
p = i/(rt)
Answer:
[tex] \sf p = \dfrac{i}{rt} [/tex]
Step-by-step explanation:
Solve for p:
[tex] \longrightarrow [/tex] i = prt
i = prt is equivalent to prt = i:
[tex] \longrightarrow [/tex] prt = i
Divide both sides by rt:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{prt}{rt} = \dfrac{i}{rt} [/tex]
[tex] \sf \dfrac{prt}{rt} = p: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf p = \dfrac{i}{rt} [/tex]
Explain the steps to solve for g in the equation -1/3g+5=2
Answer:
g=9
Step-by-step explanation:
-1/3x9=-3+5=2
A rectangle has a perimeter of 104 feet. If the
width of the rectangle is one more than twice its
length, determine the dimensions of the
rectangle.
Answer:
w=35, L = 17
Step-by-step explanation:
the perimeter is all sides added together to total 104. so,
2L + 2W= 104
the width is one more than twice it's length, so W = 2L + 1
plug that into first equation.
2L + 2(2L+1)=104
distribute:. 2L + 4L + 2= 104 and continue to solve for L
6L + 2= 104 subtract 2 from both sides.
6L = 102, divide both sides by 6
L = 17. so the length is 17 ft. now use that number to put it in our equation for width, W= 2L + 1
W= 2(17)+1
W = 35
Steven is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 11.2 ounces of almonds, and 14.3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answer:
1.94 ounces are in each bag.
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
23 ounces of walnuts + 11.2 ounces of almonds + 14.3 ounces of cashews = 48.5 ounces.
From the question we are told that these amounts make 25 bags.
The number of ounces that are in each bag is calculated as:
25 bags = 48.5 ounces
1 bag = x ounces
Cross Multiply
25 bags × x ounces = 1 bag × 48.5 ounces
x ounces = 1 bag × 48.5 ounces/25 bags
x ounces = 1.94 ounces
Therefore, there are 1.94 ounces in each bag
PLEASE HELP!!!!!!!!!!!!!!!!! Write the equation of the line perpendicular to y=3/4x+9/4 that passes through the point (-5, 2)
Answer:
y = -4/3x - 6
Step-by-step explanation:
1. Find the slope. Since we know that a line perpendicular to another is it's opposite reciprocal, or the product of the two is equal to -1, we can find the slope. -4/3 times 3/4 is -1, so -4/3 would be the slope of this line.
2. Plug in the point and slope into the slope-point equation. The equation would be y - 2 = -4/3 * (x + 6).
3. Simplify. The simplified equation would be y = -4/3x - 6.
Answer: y = -4/3x - 6
Express in the form n:1 ratio
16:8
Giving brainiest explain answer
Answer:
B.) Carrier B
Step-by-step explanation:
The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.
Might be a bit confusing, but hope it helps.
Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
[tex]Initial\ Fee = \$57[/tex]
[tex]Additional = \$0.08[/tex] per mile
Plan 2:
[tex]Initial\ Fee = \$50[/tex]
[tex]Additional = \$0.10[/tex] per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
[tex]y = 57 + 0.08 * x[/tex]
Plan 2:
[tex]y = 50 + 0.10 * x[/tex]
To solve (a), we equate both plans together; i.e.
[tex]y = y[/tex]
[tex]57 + 0.08x = 50 + 0.10x[/tex]
Collect Like Terms
[tex]0.08x - 0.10x= 50 - 57[/tex]
[tex]-0.02x= -2[/tex]
Solve for x
[tex]x = -2/-0.02[/tex]
[tex]x = 100[/tex]
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
[tex]y = 57 + 0.08 * x[/tex]
[tex]y = 57 + 0.08 * 100[/tex]
[tex]y = 57 + 8[/tex]
[tex]y = 65[/tex]
Hence, the amount is $65
first to answer correctly gets brainleist! I need ya to find the slope for me!
Answer:
m=-1
Step-by-step explanation:
The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(0-4)
m=4/-4
m=-1
Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to
walk toward you at the bus stop and then passes you. He walks at a speed of
4 ft/s. His distance d from you after t seconds is given by d = 1120 - 4tl. After
how many seconds is your neighbor 30 ft from you?
Answer:
22.5 seconds and 37.5 seconds
I hope this is helpful!
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answer:
Answer:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
Step-by-step explanation:
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *
A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units
Answer:
C
Step-by-step explanation:
To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!
What is the slope??? PLEASE HELP!!!
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Rewrite this sentence using BOTH a DOP and an IOP.
Voy a dar una naranja a Juan.
Answer:
Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar
Step-by-step explanation:
I WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Suppose Triangle MNO has vertices M(-7,3), N(9,8), and 0(2,16). After a dilation centered at the origin, the coordinates of Triangle M'N'O are M'(-10.5, 4.5), N' (13.5, 12), and O' (3,24). Complete the following algebraic description so that it represents the transportation of Triangle MNO, (2, y) + (x, y) The scale factor is
Answer:
The answer is 1.5
Step-by-step explanation:
Answer:
The scale factor is = 1.5
Step-by-step explanation:
Trust me bro
Plz help with these 2 questions plz it depends on my grade
for the penny one i need the equation for one of the answers
Answer:
Yes
Step-by-step explanation:
2 pennies and 3 dimes = 60 cents
I penny = 1 cent
1 dime = 10 cents
Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.
Answer:D
Step-by-step explanation:
1. Which of the following is the equation of a line that has a slope 5 and passes through the point
(3,- 7)?
Answer:
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
point (3,-7)
m = 5
Solution
y - y1 = m(x - x1)
y - (-7) = 5(x - 3)
y + 7 = 5x - 15
y = 5x - 15-7
y = 5x-22
Answer
The equation in point-slope form that passes through the point (3,-7)and has a slope of 5 is line Y=5x-22