The amount of profit the investor earns is 9340 dollars. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.
The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.
Then total cost price of the shares will be
→ 19.84 × 400 = $7936
The total selling price of the shares will be
→ 43.19 × 400 = $17,276
Then the profit is the difference between the total cost price of shares and the total selling price of the shares.
→ 17276 - 7936 = $ 9340
More about the Algebra link is given below.
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What is the volume of a cylinder with a height of 2.9 ft and a base with a radius of 4.5 ft, to the nearest tenth of a cubic foot?
Step-by-step explanation:
could not find the formula ?
the volume is a cylinder is
ground area × height
the ground area is a circle, so we get
pi×r²×h
where r is the radius, h is the height.
therefore
pi×4.5²×2.9 = 184.4900286... ft³ ≈ 184.5 ft³
I need help please thanks
Answer:
5[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Glass: [tex]\frac{2}{3}[/tex] × 10
Hours: 1[tex]\frac{1}{4}[/tex]
1) Find the real value. He drinks [tex]\frac{20}{3}[/tex] glasses of water in 1[tex]\frac{1}{4}[/tex] hours. 1[tex]\frac{1}{4}[/tex] × [tex]60[/tex] gives us the minutes because 1 hour is 60 minutes.
Glass : Minutes:
[tex]\frac{20}{3}[/tex] : [tex]75[/tex]
2) Use ratio to find the value of one. 60 ÷ 75 gives us 0.8. Multiply [tex]\frac{20}{3}[/tex] by 0.8 or [tex]\frac{8}{10}[/tex].
Glass : Minutes
[tex]\frac{16}{3}[/tex] : 60
3) Convert [tex]\frac{16}{3}[/tex] into a mixed number.
= 5[tex]\frac{1}{3}[/tex]
For each pair of points, find the slope of the line that passes through the points.
(5, 4) and (0:1)
(3,7) and (-2,2)
Use the slope formula:-
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{1-4}{0-5}=\frac{-3}{-5} =\frac{3}{5}[/tex]
Second pair:-
[tex]\displaystyle\frac{2-7}{-2-3} =\frac{-5}{-5} =1[/tex]
notes:-If we multiply/divide a negative by a negative, we get a positive. :)
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling. The store offers a 30% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of three bottles of detergent. (10 points)
Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.
What is a proportion?A proportion is a fraction of a total amount.
A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:
P = 4.40 x 1.25 = $5.50.
The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:
T = (3 x 5.50) x 0.7 = $11.55.
More can be learned about proportions at https://brainly.com/question/24372153
In a sequence of numbers, a5 = 30, a6 = 34, a7 = 38, a8 = 42, and a9 = 46.
Which equation can be used to find the nth term of the sequence?
A.) a,n = 4n + 10
B.) a,n = 4n + 30
C.) a,n = 6n + 30
D.) a,n = 6n
Answer:
A.)
Step-by-step explanation:
Try each choice to see which one works.
A.)
a_n = 4n + 10
a_5 = 4(5) + 10 = 30
a_6 = 4(6) + 10 = 34
a_7 = 4(7) + 10 = 38
Answer: A.)
pleaseee help (questions in photo) will mark brainliest
Answer:
270
Step-by-step explanation:
90, 180, 270, and 360 are standard position because they hold a part of a 90 angle
Answer:
Step-by-step explanation:
Standard position means that you will move clockwise about the origin to create the angle.
Perry pays $340 per month to lease her car. How much will she pay to lease her car for two years?
$340 × 24 (12 months in one year)
= $8160
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid? Question 17 options: A) A cross section cut parallel with the bottom B) A cut parallel to the vertical axis, but off the vertical axis C) A cut parallel to the vertical axis, directly through the vertical axis D) Cutting off one of the bottom corners
Answer:
B
Step-by-step explanation:
Cut vertical but off vertcal axis.
A will produce a square and C and D will produce triangles.
hegarty maths angles
Given that A, O & B lie on a straight line segment, evaluate acute ∠COD.
Check the picture below.
PLEASE HELP I ILL MARK BRAINLIEST
Answer: 90 dergrees
Step-by-step explanation: 90 dergrees
WILL GIVE BRAINLIEST
The Coriolis Effect shows us that when moving from the equator towards the poles, the air is __________.
Question 1 options:
moving faster than the ground below it.
standing still.
moving at the same speed.
moving slower than the ground below it.
Answer:
answer A
Step-by-step explanation:
Option C is correct, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
What is Speed?Speed is the time rate at which an object is moving along a path,
The Coriolis Effect causes moving objects, including air, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.
As air moves from the equator towards the poles, it experiences a change in latitude, which causes it to be deflected.
This deflection results in the formation of high-pressure and low pressure systems that move weather patterns around the globe.
The speed of the air is affected by a number of factors, including temperature, pressure, and the Coriolis Effect.
However, the Coriolis Effect does not directly affect the speed of the air as it moves from the equator towards the poles.
Therefore, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
To learn more on Speed click:
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#SPJ2
Solve this Distributed property 2(3x+5)
Answer: x = -.6
Step-by-step explanation:
2(3x+5) = 6x + 10
10 = -6x
x = -.6
Expand & simplify
4
(
2
g
+
3
)
−
5
(
4
g
−
4
)
Answer:
-12g+32
Simplify and combine like terms.
What is ED?
Enter your answer in the box.
units
Answer:
x=4
Step-by-step explanation:
There
question number 4 please help
Answer:
The correct answe is H , if yu sub the x value in each of the equations yu should get y
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]
m = the slopeb = the y-intercept (the value of y when x=0)To find the slope of a line (m):
Find the coordinates of two points that fall on the linePlug them into the following formula:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the pointsTo find the y-intercept of a line (b):
Plug the slope into [tex]y=mx+b[/tex]Plug in one of the pointsSolve for bSolving the Question
We're given a set of coordinates for this linear relation.
First, solve for the slope.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):
[tex]m=\dfrac{1-(-7)}{2-(-2)}\\\\m=\dfrac{1+7}{2+2}\\\\m=\dfrac{8}{4}\\\\m=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
Now, let's solve for the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in any of the given points:
[tex]1=2(2)+b\\1=4+b\\b=-3[/tex]
Therefore, the y-intercept of the line is 3. Plug this back into [tex]y=2x+b[/tex]:
[tex]y=2x-3[/tex]
Answer[tex]y=2x-3[/tex]
What is the area of this figure?
22 mi
8 mi
10 mi
5 mi
9 mi
11 mi
4 mi
6 mi
Answer:
318 mi²
Explanation:
area of triangle = 1/2 * base * height = 1/2 * 22 * (10+6+3) = 209 mi²area of right bottom rectangle = Length * Width = 11 * 5 = 55 mi²bottom upright rectangle = Length * Width = 9 * 6 = 54 mi²total area = 209 mi² + 55 mi² + 54 mi² = 318 mi²Area of Vertical rectangle:-
9(6)54mi²Area of horizontal rectangle
11(5)55mi²Area of triangle
1/2(22)(10+6+3)11(19)209mi²Total:-
209+55+54318mi²i cant figure this problem can you guys help/i cant figure this problem can you guys help?
Answer:
50.0in²
Step-by-step explanation:
C=2πr
25.12/2π=r
r=3.99(taking π=22/7)
Area=πr²
=22/7×(3.99)²=50.0in²
Joel borrowed $18,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a total of $20,953.80, at what rate did he borrow the money?
Enter the percent with the percent symbol. If the percent is not a whole value, enter it as a decimal where the last digit is not zero and there is a zero before the decimal point for values less than 1. For example, if the answer is .35%, 0.35% should be entered. Round the percent to the nearest thousandth of a percent if needed.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}[/tex]
[tex]\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r[/tex]
Can someone help with these questions?
Answer:
Step-by-step explanation:
#1. 5 and 51/2 since it has the greatest amount of dots and #2. 5.5, 6.0, and 8.0 since it has the least amount of dots
Answer:
1. 5 and 5 1/2
2. 5.5, 6.0 and 8.0
Step-by-step explanation:
1. Both shoe sizes had the most number of dots.
2. All three pearl sizes have the least number of dots.
How many vertices, edges, and faces are in the polyhedron below? List them.
Based on observation, in this polyhedron, there are a total of six vertices, nine edges, and five faces.
What are vertices?In geometry, this refers to the point where two line meet. In this case, the vertices are A, B, C, D, E, F for a total of six vertices.
What are the edges?This term refers to line segments, for example the line between B and C is an edge. Based on this, there are nine edges in this shape.
What are faces?This refers to flat surfaces; in this, case the total of flat surfaces are five.
Learn more about geometry in: https://brainly.com/question/16836055
y is directly proportional to (x-4) when x=16, y=3 find y in terms of x
Answer:
y = ¼(x-4)
Step-by-step explanation:
Before solving the question, let's look at one example,
A is directly proportional to B means A∝B which also means A=kB where k is a constant.In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).
Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),
3=k(16-4)
k=3/12
k=1/4
After that, substitute the k value into the equation,
y = ¼(x-4)A cafe offers 3 sides with the lunch special. A customer can choose from rice, green beans, carrots, salad, and corn. How many different combinations are possible?
6
5
10
8
Answer:
10
Step-by-step explanation:
5! / (3! 2!)
[tex] \frac{5 \times 4 \times 3}{3 \times 2 \times 1} = 10[/tex]
Find the area of the composite figure.
A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192
The area of the composite figure from the image attached is 112.5 units²
What is the area of a composite figure?The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
A parallelogramA rectangleA triangleThe area of a parallelogram = b × h
where;
b & h refers to the length of the two opposite diagonal lines.The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
where;
Base = b Height = hThe area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]
The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
Learn more about composite figures here:
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2(3/5x+3). How would I get that answer
Answer: [tex]\frac{6}{5}[/tex]x + 6
Step-by-step explanation:
We will use the order of operations, also known as PEMDAS. See attached. Please note that we cannot do what is in the parentheses first because we have a variable, so we will distribute the 2 into it. Since this is an expression, I do not believe we can fully solve for x, but can only simplify.
Given:
2(3/5x+3)
Distribute:
2 * (3/5x) + (2 * 3)
6/5x + 6
Answer:
[tex]\frac{6}{5}[/tex]x + 6
What do you mean by logarithm???
sam..
Answer:
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
hope it helps you<3Hey ojaswii!
Answer:
Logarithm is an exponent or index.
Step-by-step explanation:
John napier invented Logarithm.There're 3 types of logs, however, there're 7 laws of logs.Amazing right?It is used for graphs also.Finally,The Formula...[tex] \boxed{\rm \: log_{l}(l {}^{a} ) = a}[/tex]
Note: This is just a random formula
I expect this helps :)
[tex]\quad{\qquad\qquad\qquad\qquad{\bf ...}}[/tex]
What are the gradients and y intercepts of the following equation
y= x/4 + 3
Answer:
gradient: 1/4; y-intercept: 3
Step-by-step explanation:
In math, 'gradient' is another word for slope.
Here we have y = (1/4)x + 3. The coefficient of x is the slope or gradient: 1/4. The y - intercept is 3: (0, 3).
Answer:
Step-by-step explanation:
The equation is in y = mx + b form.
Here, m is the slope or gradient and b is the y-intercept.
[tex]y =\dfrac{1}{4}x+3\\\\\\Gradient =\dfrac{1}{4}[/tex]
y-intercept = 3
If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically
Answer:
x = 4 is the only real zeroStep-by-step explanation:
Find the zero's of f(x)
2x³ - 12x² + 20x - 16 = 0x³ - 6x² + 10x - 8 = 0x³ - 4x² - 2x² + 8x + 2x - 8 = 0x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0(x - 4)(x² - 2x + 2) = 0(x - 4)(x² - 2x + 1 + 1) = 0(x - 4)[(x - 1)² + 1] = 0x - 4 = 0 ⇒ x = 4, we already know this(x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negativeAnswer:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Step-by-step explanation:
Given polynomial:
[tex]f(x)= 2x^3-12x^2+20x-16[/tex]
According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.
[tex]\implies f(x)=(x-4)(ax^2+bx+c)[/tex]
Expand the brackets:
[tex]\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c[/tex]
[tex]\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c[/tex]
Compare coefficients with the given polynomial:
[tex]\implies a=2[/tex]
[tex]\implies -4c=-16 \implies c=4[/tex]
[tex]\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4[/tex]
Substitute the found values of a, b and c:
[tex]\implies f(x)=(x-4)(2x^2-4x+4)[/tex]
To find the zeros of f(x), set the function to zero and solve for x:
[tex]\implies (x-4)(2x^2-4x+4)=0[/tex]
[tex]\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0[/tex]
[tex]\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}[/tex]
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{-16}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm 4i}{4}[/tex]
[tex]\implies x=1 \pm i[/tex]
Therefore, the zeros of the function are:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Find the value of A+B
5/x²+6x+8 = A/x+2 + B/x+4
Step-by-step explanation:
[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]
I need help trying to solve for MNO it’s for our right triangle trigonometry unit.
Answer:
Angle O is 64. m is 16.7 rounded to the nearest tenths place. n is 22.4 to the nearest tenths place.
Step-by-step explanation:
Angle O- 180-(26+90)
M- COS(26)=n/15
N- COS(26)=n/15^2+15^2=c^2
5
Select ALL the correct answers.
Observe the expression below and select the true statement(s).
41 + 9 – y(61 + 7)
The x in the first term is an exponent.
3
The "9" in the second term is a constant.
The "y in the third term is a factor.
The "6" in the third term is a coefficient.
The "4" in the first term is a constant.