Answer: £700
Step-by-step explanation:
SI = prt
SI = 500 x .08 x 5
SI = 200
Amount = 500 + 200 = 700
Answer:
700 in 2021
Step-by-step explanation:
X = 500 x .08 x 5
X = 200
Amount = 500 + 200 = 700
Explain in detail how the monopoly ferry operator will determine the quantity of ferry service that she will provide to the 500 residents of Onus. Also explain how that monopoly quantity will compare to the total quantity of ferry service available to the 500 residents of the perfectly competitive market of Yuri by ALL the Yuri ferry providers. (2 points)
Answer:
The answer is below
Step-by-step explanation:
We need the images corresponding to the question, I have researched and found them, I will leave them attached in the question:
Now, in the case under monopoly, the profit maximization amount will be 51.
The monopolist is a price maker. Therefore, he will determine the amount of production that will maximize revenue. Furthermore, the monopolist is the one who faces a downward sloping demand curve because he can sell more if the price falls.
Now, the profit-maximizing price and output is where the marginal revenue equals the marginal cost, then it is extended to the market demand curve to determine what market price corresponds to that quantity.
Under perfect competition, the profit maximization amount is 75. In the long run, a competitive firm is in equilibrium when MR = MC = AC. It will produce that output where LMC = LAC.
A farmer has 20 yards of fencing to build a pen for her chickens. She decides to use a side of her barn as one side of the fenced-in area. What is the maximum area she can achieve?
Answer:
The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.
Step-by-step explanation:
Given that farmer shall construct a rectangular fenced-in area and a side of the barn is one side of such area, the needed length of fencing is represent by the following perimeter equation ([tex]p[/tex]), measured in square yards:
[tex]p = 2\cdot l + w[/tex]
Where:
[tex]l[/tex] - Length of the rectangle, measured in yards.
[tex]w[/tex] - Width of the rectangule (side of the barn), measured in yards.
In addition, the equation of the fenced-in area ([tex]A[/tex]) is:
[tex]A = w\cdot l[/tex]
If [tex]p = 20\,yd[/tex], equation of area is now simplified as follows:
[tex]A = (20\,yd - 2\cdot l)\cdot l[/tex]
[tex]A = 20\cdot l - 2\cdot l^{2}[/tex]
The value of [tex]l[/tex] associated with the maximum area is obtained with the help of First and Second Derivative Tests. Firstly, first and second derivatives of the area function are determined:
[tex]A' = 20 - 4\cdot l[/tex]
[tex]A'' = -4[/tex]
Let equalize first equation to zero, second derivative indicates that critical value follows to an absolute maximum. Hence:
[tex]20-4\cdot l = 0[/tex]
[tex]l = 5\,yd[/tex]
The width of the rectangle is: ([tex]p = 20\,yd[/tex] and [tex]l = 5\,yd[/tex])
[tex]w = p - 2\cdot l[/tex]
[tex]w = 20\,yd - 2\cdot (5\,yd)[/tex]
[tex]w = 10\,yd[/tex]
And finally, the maximum area she can achieve is:
[tex]A = (5\,yd)\cdot (10\,yd)[/tex]
[tex]A = 50\,yd^{2}[/tex]
The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.
To steam rice, Paul uses m cups of water for every p
cups of rice. In terms of m and p, how many cups of
water are needed to steam p + 2 cups of rice?
Answer:
[tex]\frac{(p + 2)m}{p}[/tex]
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
The question shows a direct proportion between cups of rice and cups of water.
So, the first step is to get the proportionality constant (k)
This is calculated using the following expression;
[tex]m = k * p[/tex]
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
[tex]k = \frac{m}{p}[/tex]
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
[tex]k = \frac{x}{p + 2}[/tex]
Equate both expressions of k; to give
[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]
Multiply both sides by p + 2
[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]
[tex](p + 2) * \frac{m}{p} =x[/tex]
[tex]x = (p + 2) * \frac{m}{p}[/tex]
[tex]x = \frac{(p + 2)m}{p}[/tex]
Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]
WILL MARK BRAINLIEST! Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -8, and 2 + 5i A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928 B.) f(x) = x^4 - 19x^2 + 244x - 928 C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928 D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928
Answer:
B. f(x) = x^4 -19x^2 +244x -928
Step-by-step explanation:
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, -8, and 2 + 5i
A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928
B.) f(x) = x^4 - 19x^2 + 244x - 928
C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928
D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928
A polynomial function with real coefficients has complex roots in both conjugates, hence the minimum polynomial is of the 4th degree with roots
4, -8, 2 + 5i, 2 - 5i
A polynomial can be found by expanding the following factors:
P(x) = (x-4)(x+8)(x-2-5i)(x-2+5i)
= (x-4)(x+8)(x^2-4x+29)
= x^4 -19x^2 +244x -928
******BRAINLIEST IF ANSWERED****** Which equation can be used to find the measure of angle BAC? * inverse tan(5/12) inverse cos(5/13) inverse sin(12/5) inverse tan(12/13)
Answer:
[tex]cos^{-1}(\frac{5}{13} )[/tex]
Step-by-step explanation:
We can see that x is at ∠A.
To find x:
cosx° = 5/13
x = cos^-1(5/13)
sinx° = 12/13
x = sin^-1(12/13)
tanx° = 12/5
x = tan^-1(12/5)
Out of our answer choices, the only one that fits is the inverse cos(5/13).
Answer:
inverse cos 5/13
Step-by-step explanation:
i took the quiz
Triangle X Y Z is shown. Angle X Y Z is 75 degrees and angle Y Z X is 50 degrees. The length of X Y is 2 and the length of X Z is y. Use the law of sines to find the value of y. Round to the nearest tenth. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
Applying the law of sines, the value of y is calculated as: 2.5 units.
What is the Law of Sines?Law of sines is given as: sin X/x = sin Y/y = sin Z/z
Given the following:
m∠XYZ = 75° (Y)
m∠YZX = 50° (Z)
XY = 2 (z)
XZ = y = ?
Thus, we would have the following:
sin 75/y = sin 50/2
Cross multiply
y = (sin 75 × 2) / sin 50
y = 2.5 units
Therefore, applying the law of sines, the value of y is calculated as: 2.5 units.
Learn more about the law of sines on:
https://brainly.com/question/2807639
Last year, I had 92 APES students and this year I will have 63 APES students. By what percentage will the population of APES students increase.
Answer:
31.52% increase (decrease)
Step-by-step explanation:
To find the decrease in the percentage of students from the previous year to the current year, you must establish a baseline to be your maximum (100%). For this we'll use the 92 students. From here, we need the current 63 students to establish the current percentage.
Simply:
63/92 == .6848 == 68.48%
So our current percentage of students is 68.48%. We want the decrease of the students compared to the previous percentage so we'll need to do the maximum minus the current to get the change (or the decrease).
100% - 68.48% = 31.52%
Thus, the population increase (decrease) for this year is 31.52%.
Answer:
68.47
Step-by-step explanation:
63/92
PLEASE HELP ME WITH THESE QUESTIONS
Answer:
hope its wht u require....
wats the domain and range of [1,3] , [-2,7] ,[ 3 ,-3 ], [4,5] , [1,-3]
Answer:
Domain={-2,1,3,4}Range={-3,3,5,7}Explanation:
Domain and Range:Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
what expressions are equivalent to 4d+6+2d
Answer:
6d+6 is the correct answer
Step-by-step explanation:
****WHO ANSWERS WILL BE MARK AS BRAINLIEST****
In circle D, which is a MINOR arc to the circle? *
In circle D, which is a MAJOR arc to the circle? *
AB
FD
EC
DE
Answer:
AB
Step-by-step explanation:
ez
Answer:
E to C is a minor arc a major arc in this case would be E to G or F to H
Step-by-step explanation:
I need the answer ASAP plz!!
Answer: B x>0
Step-by-step explanation:
Answer:
x> 0
Step-by-step explanation:
There is an open circle at zero which means it does not include zero
The line goes to the right which means greater than
x> 0
Nadine sold two kinds of tickets to her class play. Student tickets cost $3 each, and adult tickets cost $5.50 each. If Nadine sold a total of 25 tickets for $90, how many student tickets did she sell?
Answer:
19 tickets
Step-by-step explanation:
Nadine sold two kinds of tickets to her class play
The student tickets cost $3
Adult tickets cost $5.50
Nadine sold a total of 25 tickets for $90
We are required to find the number of students tickets that were sold
Let x represent the number of tickets sold to students
Let y represent the number of tickets sold to adults
x + y= 25
x= 25-y..........equation 1
Since the total cost of the ticket is $90
3x + 5.50y=90..........equation 2
Substitute 25-y for x in equation 2
3(25-y) + 5.50y= 90
75-3y+5.50y= 90
75+2.5y= 90
Collect the like terms
2.5y= 90-75
2.5y=15
Divide both sides by 2.5
2.5y/2.5=15/2.5
y= 6
Substitute 6 for y in equation 1
x= 25-y
x= 25-6
x= 19
Hence Nadine sold 19 student tickets
Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees. What is m∠ABC? m∠ABC = 60° m∠ABC = 67° m∠ABC = 120° m∠ABC = 127°
Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees.
What is m∠ABC?
m∠ABC = 60°
m∠ABC = 67°
m∠ABC = 120°
m∠ABC = 127°
m<ABC = 127
The measure of angle ABC is 127°.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is the figure depicting the statement given in the question [figure is attached with answer].
In ΔBCD, we can write -
∠BCD + ∠CDB + ∠DBC = 180°
60 + 67 + ∠DBC = 180
∠DBC = 180 - 127
∠DBC = 53°
Now -
∠ABC + ∠DBC = 180°
∠ABC = 180 - 53
∠ABC = 127°
Therefore, the measure of angle ABC is 127°.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ6
If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x).
A. (f-g)(x) = 4^x +5x -2
B. (f-g)(x) = -4^x +5x +14
C. (f-g)(x) = 4^x -5x -14
D. (f-g)(x) = -x -14
Answer:
C. 4^x - 5x - 14.
Step-by-step explanation:
(f - g) x
= 4^x - 8 - (5x + 6)
= 4^x - 5x - 8 - 6
= 4^x - 5x - 14.
find the 1st- 4th nTH term and then find the 10th term, rule is 5-2n
Answer:
When n is 1
5-2n
=5-2*1
=5-2
=3
When n is 2
5-2n
=5-2*2
=5-4
=1
When n is 3
5-2n
=5-2*3
=5-6
=-1
When n is 4
5-2n
=5-2*4
=5-8
=-3
When n is 10
5-2n
=5-2*10
=5-20
=-15
A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits inside a \blueD{7\,\text{cm} \times 11\,\text{cm}}7cm×11cmstart color #11accd, 7, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answer:
64.43 cm^264.44 cm^2 using π = 3.14Step-by-step explanation:
The area of the 7 cm by 11 cm rectangle is ...
A = bh
A = (7 cm)(11 cm) = 77 cm^2
The area of the circle of radius 2 cm is ...
A = πr^2 = π(2 cm)^2 = 4π cm^2
If the shaded area lies between the circle and the rectangle, its area is the difference of these:
shaded area = 77 cm^2 -4π cm^2
Using π = 3.14, this area is ...
(77 -4·3.14) cm^2 = 64.44 cm^2
Using π = 3.141592, this area is ...
(77 -4·3.141592) cm^2 ≈ 64.43 cm^2
The shaded area is 64.43 cm^2, (64.44 if you use π=3.14).
_____
Comment on π
Often, you are required to use a specific valued for π, even if that is inappropriate for the number of significant digits required in the answer. In recognition of that, we have offered both the correct answer (64.43) and the one associated with the value of π you may be expected to use.
Answer:
64.43cm ^2
Step-by-step explanation:
First, calculate the area of the whole figure, including the unshaded area.
The area of a rectangle is the length times the width.
7cm x 11cm = 77c[tex]m^{2}[/tex]
Next, calculate the area of the inner figure.
The area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex] x 2cm x 2cm = 4[tex]\pi[/tex] c[tex]m^{2}[/tex]
Finally, subtract the area of the inner circle from the area of the outer rectangle.
77 c[tex]m^{2}[/tex] - 4[tex]\pi[/tex] c[tex]m^{2}[/tex] ≈ 64.43 c[tex]m^{2}[/tex]
find the area of the shape shown below
4
2
6
2
2
2
Answer:
32 squared units
Step-by-step explanation:
The composite given in the figure consist of 3 triangles and 1 square shape.
To calculate the area of the composite shape, let's calculate area of each shape and then add all together.
==>Area of the square (Q): s²
s = 2
Area = 2² = 4 squared units
==>Area of biggest triangle (B): ½*b*h
b = 2+2+6 = 10
h = 4
Area = ½*10*4 = 5*4 = 20 squared units
==>Area of medium triangle (M): ½*b*h
b = 2
h = 6
Area = ½*2*6 = 6 squared units
==>Area of smallest triangle (S): ½*b*h
b = 2
h = 2
Area = ½*2*2 = 4/2 = 2 squared units
==>Area of composite shape = Q+B+M+S = 4+20+6+2 = 32 squared units
Answer:
32
Step-by-step explanation:
I just did the problem on khan
x+x/7 + 1/11 (x + x/7) = 60
Answer:
X= 48.125
Step-by-step explanation:
Can someone help me with 1,2,3 I don’t know how to do this
Answer:
Step-by-step explanation:
1: 0.75
2: 0.166
3: 0.466
4: 0.66
Sorry if anyone of these are wrong
Answer:
3/4=0.75
1/6=0.16666667
7/15=0.46666667
13/20=0.65
Step-by-step explanation:
You can use the 'division house' to get the answer. The denominator is always out, and the numerator always inside.
Hope this helps ;) ❤❤❤
A scale model of a bicycle has a scale of 1 : 10. The real bicycle has a length of 1.6 m. What is the length of the model in cm?
Answer:
16 cm
Step-by-step explanation:
1.6 m = 160 cm
Model length = 160 / 10 = 16 cm
Answer:
160 cm
Step-by-step explanation:
1 : 10
1.6 : x
Cross multiply.
1 × x = 10 × 1.6
x = 160
X= ?? geometry ??? And how ????
Using the equations for tangent and secant lines:
Let the unknown length of the line inside the circle = y
6^2 = 3 x (y+3)
Simplify:
36 = 3y+9
Subtract 9 from both sides:
27 =3y
Divide both sides by 3:
Y = 9
Now add to get x:
X = 9 + 3 = 12
X = 12
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
1st bacteria : 2nd bacteria
t^2-3t+4 ( 3rd option)
Step-by-step explanation:
Which coordinate for points A' and B' would help prove that lines AB and A'B' are perpendicular?
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
it's b! now remember to breathe and relax a little. everything is going to be okay ♡
AB and AC are tangent. Find AB
Answer:
[tex]AB = \frac{11}{2}[/tex]
Step-by-step explanation:
Given
The above diagram
[tex]AB = 3y + 4[/tex]
[tex]AC = 11y[/tex]
Required
Determine length AB
Tangents drawn from the same point of a circle are equal;
This implies that
[tex]AB = AC[/tex]
Substitute values for AB and AC
[tex]3y + 4 =11y[/tex]
Subtract 3y from both sides
[tex]3y - 3y + 4 = 11y - 3y[/tex]
[tex]4 = 8y[/tex]
Divide both sides by 8
[tex]\frac{4}{8} = \frac{8y}{8}[/tex]
[tex]\frac{4}{8} = y[/tex]
[tex]\frac{1}{2} = y[/tex]
Substitute [tex]\frac{1}{2}[/tex] for y in [tex]AB = 3y + 4[/tex]
[tex]AB = 3 * \frac{1}{2} + 4[/tex]
[tex]AB = \frac{3}{2} + 4[/tex]
[tex]AB = \frac{3 + 8}{2}[/tex]
[tex]AB = \frac{11}{2}[/tex]
What is 45% as a fraction in simplest form
⇒Answer:
[tex]\frac{9}{20}[/tex]
⇒Step-by-step explanation:
Well 45% is saying it is 45% out of 100,
So we can make the following fraction
45/100
Then we simplify by dividing 45 and 100 by 5
Hence, the answer is [tex]\frac{9}{20}[/tex]
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph, photo above
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph (6 points)
Answer:
a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.
b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.
c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.
Step-by-step explanation:
Answer:
Part A: it is linear because it is not curving and it consists of straight lines.
Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.
Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.
Step-by-step explanation:
A car accelerates uniformly from 36 km/h to 72 km/h in 2 seconds. Calculate :a.The acceleration of the car b.The distance covered by the car in that time.
Answer:
(a) The acceleration of the car is 5 m/s²
(b) The distance covered by the car in that time is 30 m
Step-by-step explanation:
Given;
initial velocity of the car, u = 36 km/h = 10 m/s
final velocity of the car, v = 72 km/h = 20 m/s
time for the motion, t = 2 seconds
(a) .The acceleration of the car;
v = u + at
[tex]a = \frac{v-u}{t} \\\\a = \frac{20-10}{2}\\\\a = 5 \ m/s^2[/tex]
(b) The distance covered by the car in that time
[tex]s = (\frac{v+u}{2} )t\\\\s = (\frac{20+10}{2} )*2\\\\s = 30 \ m[/tex]
can i get some help doing this plz
Answer:
The upper bound for the perimeter of the rectangle = 427.76 cm
Step-by-step explanation:
To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.
Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges
Length = 127.3 cm
Width = 86.5 cm
Length can range from 127.25 cm to 127.34 cm
Breadth can range from 86.45 cm to 86.54 cm
The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.
Perimeter = 2 (L + B)
Upper bound of the perimeter
= 2 × (127.34 + 86.54)
= 2 × 213.88
= 427.76 cm
Hope this Helps!!!
Zeros of polynomials (with factoring
We want to find the zeros of this polynomial:
p(x) = 2x3 + 5x2 – 2x – 5
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.
Answer:
x = -5/2 x=1 x = -1
Step-by-step explanation:
p(x) = 2x^3 + 5x^2 – 2x – 5
Use factor by grouping
p(x) = 2x^3 + 5x^2 – 2x – 5
Factor x^2 from the first group and -1 from the second group
x^2(2x +5) -1( 2x+5)
Then factor out 2x+5
p(x) = (2x+5) (x^2-1)
Factor x^2 -1 as the difference of squares
p(x) = (2x+5)(x-1)(x+1)
Set to zero to find the x intercepts
0 = (2x+5)(x-1)(x+1)
Using the zero product property
2x+5 =0 x-1 =0 x+1 =0
2x = -5 x=1 x=-1
x = -5/2 x=1 x = -1
Answer:
The zeroes are (-1,0), (1, 0) and (-5/2, 0)
Step-by-step explanation:
We can find the zeroes by factoring:
2x^3 + 5x^2 - 2x - 5 = 0
x^2(2x + 5) - 1(2x + 5) = 0
(x^2 - 1)(2x + 5) = 0
(x - 1)(x + 1)(2x + 5) = 0
So x = -1, 1, -5/2.