Ajax buys 20 shares of stock at 20$ per share. The shares increase in value by 20%. He then sells 10 shares. After the shares decrease in value by 10%, he buys another 20 shares. The shares then all increase by 50%. Determine the total dollar value of the 30 shares that Ajax now owns.
Answers
Answer:
$972
Step-by-step explanation:
Ajax buys 20 shares of stock at $20.
The cost of 20 shares = 20 × $20 = $400
The shares increase in value by 20%
Now the cost of 20 shares = 400 + (20%×400)
= 400 + 80
= $480
Cost per share = [tex]\frac{480}{20}[/tex] = $24
He sells 10 shares = $20 × 10 = $240
Now he has 10 share costs $240
After the shares decrease in value by 10%, he buys another 20 shares.
Cost per shares after decrease by 10% = 24 - (10%×24)
= 24 - 2.40
= $21.60
He buys 20 shares and his remaining 10 shares = 20 + 10 = 30 shares
Cost of 30 shares = 21.60 × 30 = $648
The shares then all increase by 50% = 648 + (50% × 648)
= 648 + (0.5 × 648)
= 648 + 324
= $972
The total value of the 30 shares that Ajax own is $972
Related Questions
How can you use transformations to graph this function?
y=3x[tex] 7^{-x} [/tex]+2
Answers
[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]
[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]
with that template in mind, let's check
[tex]\bf y=\stackrel{A}{3}(7^{\stackrel{B}{-1}x})\stackrel{D}{+2}[/tex] <---- so the parent function will then be y = 7⁻ˣ
A = 3 it shrinks, in relation the y-axis, by a factor of 3 times, so is narrower.
B=-1 well, it flips it sideways, reflection over the y-axis.
D= +2 well, that's just a vertical shift of 2 units.
Sketch the graph of Y=7^X.
Reflect the graph across the y-axis to show the function y=7^-x.
Stretch the graph vertically by a factor of 3 to show the function y=3 x 7^-x.
Shift the graph up 2 units to show the function y= 3 x 7^-x +2
Which number sentence correctly solves this problem?
Mount Everest is 8,848 meters high. K2 Mountain is 8,611 meters high. How much higher is Mt. Everest than K2 Mountain?
A.
8,848 + 8,611 = 17,459
B.
8,848 – 8,611 = 1,237
C.
8,848 – 8,611 = 237
D.
8,848 + 8,611 = 16,459
Answers
The picture shows a triangular island Which expression shows the value of Q?
Answers
Therefore, in the diagram, cos (55°) = s/q
To isolate q, divide both sides by s
cos (55°) / s = 1/ q
Then flip both numerators and denominators (raise both sides to the power of -1)
q = s / cos (55°)
Answer is D
S/cos 55• the answer D
Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10.
A. –10 < |3x – 5| < 10
B. 3x – 5 > –10 or 3x – 5 < 10
C. 3x – 5 < –10 or 3x – 5 > 10
D. –10 < 3x – 5 < 10
Answers
Compound inequality is the combination of more than one inequality.
The compound inequality from [tex]|3x - 5| > 10[/tex] is:
(c) [tex]3x - 5 < -10[/tex] or [tex]3x - 5 > 10[/tex]
Given that:
[tex]|3x - 5| > 10[/tex]
When the above inequality is split, we have the following inequalities:
[tex]3x - 5 > 10[/tex]. [tex]3x - 5 < -10[/tex]So, the result of the split is:
[tex]3x - 5 < -10[/tex] or [tex]3x - 5 > 10[/tex]
Read more about compound inequalities at:
https://brainly.com/question/13290962
A student is taking a test. He has 37 questions left. If the test has 78 questions
Answers
a. Let x represent the number of questions finished.
b. The equation is x + 37 = 78 , and solving yields x = 41 .
c. The student finished 41 questions.
a. Define a variable for the unknown value. Let x represent the number of questions the student has finished.
b. Write and solve the equation. The total number of questions is the sum of the questions finished and the questions left: x + 37 = 78 . Now solve for x :
x = 78 - 37 = 41
So, the student has finished 41 questions.
c. Answer the question with the correct units. The student has finished 41 questions out of the total 78. Therefore, the student has [tex]\( \frac{41}{78} \)[/tex] of the test complete. To express this as a percentage, multiply by 100:
[tex]\[ \frac{41}{78} \times 100 \approx 52.56\% \][/tex]
The student has finished approximately 52.56% of the test.
Que. A student is taking a test. He has 37 questions left. If the test has 78 questions, how many questions has he finished? a. Define a variable for the unknown value. Let ...........represent............
b. Write and solve the equation.
c. Answer the question with the correct units........
a skirt that usually sells for $40 is on sale for $30. What is the discount percent?
A) 20%
B) 25%
C) 27%
D) 30%
Answers
What is 27 multiplied by 36 worked out?
Answers
4
36
27
x___
252
72
_____
972
write an addition problem that has sum of 8/5
Answers
4/5 + 4/5 = 8/5
7/5 + 1/5 = 8/5
8/10 + 8/10 = 8/5
These are just a few examples
hope this helps
The perimeter of a rectangular field is 264 yards. If the width of the field is 54 yards, what is its length?
Answers
P = 264
W = 54
264 = 2(L + 54)
264 = 2L + 108
264 - 108 = 2L
156 = 2L
156/2 = L
78 <=== Length is 78 yards
54 * 2 = 108
264 - 108 = 156
156 / 2 = 78
The perimeter is 78 yards.
Convert 4 fluid ounces of soap per quart of water to cups of soap per gallon of water.
Answers
How to find the sum of the forces in the y direction of an elevator?
Answers
The way to calculate the sum of the forces in the y direction of an elevator; has been outlined below
Equilibrium of Forces
If you are in an elevator by itself, then the combined system of you and the elevator could have 3 possible situations which are;
The elevator has no acceleration because it is standing still or moving with constant velocity.The elevator has an upward acceleration because it is accelerating upward, or decelerating while it's way down.The elevator has a downward acceleration since it is accelerating down, or decelerating while on the way up.Now, in the vertical y direction, there are three forces namely;
The force of gravity.A downward normal force.An upward force from the tension in the cable holding the elevator.Thus, the sum of forces in the y-direction with the normal force acting on you from the elevator are any of the following;
N = mg; provided that the elevator is at rest or moving at constant velocity.
N = mg + ma; Provided that the elevator has an upward acceleration.
N = mg - ma; Provided that the elevator has a downward acceleration.
Read more about Sum of Forces at; https://brainly.com/question/20892645
In an elevator at rest, the sum of the forces in the y direction is equal to the weight of the person.
Explanation:If the elevator is at rest, the sum of the forces in the y direction is equal to zero. This means that the upward force exerted by the scale, Fs, must be equal to the downward force exerted by the weight of the person, w. According to Newton's third law, Fs and Fp (the force exerted by the person on the scale) are equal in magnitude and opposite in direction.
To find the value of Fs, we can apply Newton's second law, which states that the net force in the y direction is equal to the mass of the object times its acceleration. In this case, the net force is Fs - w and the acceleration is zero. Therefore, Fs = w.
So, the sum of the forces in the y direction of the elevator is equal to the weight of the person.
If the variance of a probability was computed to be 3.6 grams, what is the standard deviation
Answers
so if the variance is 3.6, the standard deviation is the sqrt 3.6...
sqrt 3.6 = 1.897 <= if u need it rounded, it is 1.9 grams
The standard deviation is the square root of the variance, which is about 1.897 grams when the variance is 3.6 grams.
Explanation:If the variance of a probability was computed to be 3.6 grams, the standard deviation is the square root of the variance. To calculate the standard deviation, you perform the following steps:
First, recognize that variance (σ²) is the square of the standard deviation (σ).To find the standard deviation, take the square root of the variance.Therefore, the standard deviation is √3.6 g.By using a calculator, we find that the standard deviation is approximately 1.897 grams.
You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (h) of the lamppost?
A. 5/8 = h/20
B. 8/5= h/20
C. 5/9 = h/20
D. 5/20 = h/8
Answers
Answer:
A. 5/8 = h/20
Step-by-step explanation:
Topic: Triangle Similarity
As you can see in the image you can paint the problem that way, it means that each side of the triangle is a multiplier from the other one same side, so you can build a relation as follows:
[tex]\frac{5}{h} = \frac{8}{20} \\[/tex]
you can re arrange the equality as
[tex]\frac{5}{8} = \frac{h}{20}[/tex]
as you can ssee you just reached the option A. 5/8 = h/20
HURRY
At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows: $2.95 $1.19 $4.61 $1.74 $3.04 $8.83 $1.16 − $0.75 (coupon) − $1.00 (coupon) The register gives your total bill as $21.77. Round each price and coupon to the nearest dollar and then estimate the total amount of the bill. Using your estimate, determine whether the total on the register is reasonable. Justify your answer.
Answers
$22 is the estimation of the bill when all of the amounts are rounded to the nearest dollar. The estimation is greater than the total bill which is 23 cents less than the estimation. The total on the register is reasonable and accurate.
Set up a proportion for the problem below:
15 is 1 1/2% of what number?
Please answer ASAP!! Thank you :)
Answers
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 15&1\frac{1}{2} \end{array}\implies \cfrac{x}{15}=\cfrac{100}{1\frac{1}{2}}\implies \cfrac{x}{5}=\cfrac{100}{\frac{3}{2}}\implies \cfrac{x}{5}=\cfrac{\frac{100}{1}}{\frac{3}{2}} \\\\\\ \cfrac{x}{5}=\cfrac{100}{1}\cdot \cfrac{2}{3}\implies \cfrac{x}{5}=\cfrac{200}{3}[/tex]
How many grains of sand in a 10kg bag if one grain weighs 10 to the negative third gram
Answers
Final answer:
To determine the number of grains of sand in a 10kg bag with each grain weighing 10 to the negative third gram, convert the weight to grams and then divide by the weight of one grain. The answer is 10 million grains.
Explanation:
Grains of sand in a 10kg bag can be calculated by converting the weight to grams first: 10kg = 10,000g. Then, since each grain weighs 10-3g, we divide the total weight by the weight of one grain: 10,000g / 10-3g = 10,000,000 grains. So, there are 10 million grains of sand in a 10kg bag.
Find the LCM of 8 and 12.
Answers
the least common multiple is 24, the greatest common diviser is 4
8:
8,16,24,32
12:
12,24,36,48
As you can see the lowest number that is the same for both of them is 24, thus the lowest common multiple is 24.
Hope this helps! :)
What are the amplitude, period, and midline of f(x) = −4 cos(2x − π) + 3?
Answers
[tex]\bf \bullet \textit{ stretches or shrinks}\\ \left. \qquad \right. \textit{horizontally by amplitude } |{{ A}}|\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]
[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}[/tex]
[tex]\bf \bullet \textit{function period or frequency}\\ \left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ \left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)[/tex]
with that template in mind, let's check
[tex]\bf f(x)=-\stackrel{A}{4}(\stackrel{B}{2}x\stackrel{C}{-\pi } )\stackrel{D}{+3}\\\\ -------------------------------\\\\ Amplitude\implies 4\\\\ Period\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{2}\implies \pi [/tex]
now, the function is just the parent cos(x), shrunk some, -4, and shifted about, now D = +3, that means it has a vertical shift of 3 units up.
the parent function cos(x), has a midline of y = 0, now, if we shift it upwards by 3 units, the new midline will then be y = 3.
The length of a rectangle is three times its width. If the area of the rectangle is 192 ft^2, find its perimeter
Answers
Explanation:
Perimeter formula: 2l + 2w
Area formula: l•w
Length = 3w
Area = 192 ft[tex] ^{2} [/tex]
192 = (3w) • w
192 = 3[tex] w^{2} [/tex]
192 ÷ 3 = 3[tex] w^{2} [/tex] ÷ 3
64 = [tex] w^{2} [/tex]
[tex] \sqrt{64} [/tex] = [tex] \sqrt{ w^{2} } [/tex]
8 = w
Width = 8
Length = 3(8) = 24
Perimeter = 2(24) + 2(8) = 64 feet.
length = 3x
A = length times width
A = x * 3x
192 = 3x^2
192/3 = x^2
64 = x^2
8 = x
so width = 8
length = 3x = 3(8) = 24
P = 2(L + W)
P = 2(24 + 8)
P = 2(32)
P = 64
answer
P = 64 feet
Which statements about the sum of the interior angle measures of a triangle in Euclidean and non-Euclidean geometries are true?
A) In Euclidian geometry the sum of the interior angle measures of a triangle is 180 degrees, but in elliptical or spherical geometry the sum is less than 180 degrees.
B) In Euclidian geometry the sum of the interior angle measures of a triangle is 180 degrees, but in elliptical or spherical geometry the sum is greater than 180 degrees.
C) In Euclidian geometry the sum of the interior angle measures of a triangle is less than 180 degrees, but in hyperbolic geometry the sum is equal to 180 degrees.
D) In Euclidian geometry the sum of the interior angle measures of a triangle is greater than 180 degrees, but in hyperbolic geometry the sum is less than 180 degrees.
In Euclidian geometry the sum of the interior angle measures of a triangle is 180 degrees, but in hyperbolic geometry the sum is less than 180 degrees.
Answers
The statements that are true about the information given will be:
In Euclidian geometry, the sum of the interior angle measures of a triangle is 180 degrees, but in elliptical or spherical geometry the sum is greater than 180 degrees.In Euclidian geometry the sum of the interior angle measures of a triangle is 180 degrees, but in hyperbolic geometry the sum is less than 180 degrees.It should be noted that Euclidian geometry is simply about understanding the geometry of flat, two-dimensional spaces while non-Euclidian geometry is about curved surfaces.
Read related link on:
https://brainly.com/question/3149059
whole numbers includes zero but natural numbers do not
Answers
I'm currently learning about this too.
I hope this helps you! :)
This is a true statement!
The set of counting numbers {1, 2, 3, 4, 5, ...} is called the set of natural numbers. The natural numbers begin at 1 and go on indefinitely.
When we include 0 in the natural numbers, we then have a new set of numbers called the whole numbers. All the natural numbers are contained within the set of whole numbers.
which of the following is a correct interpretation of the expression -2+(-7)
Answers
The correct interpretation of -2 + (-7) is that "the number 7 is to the left of -2 on the number line".
The correct interpretation of the expression -2 + (-7) which is results in -9.
Let's break this down:
-2 is our starting point on the number line. + (-7) means we move 7 units to the left of -2 (since adding a negative number is equivalent to subtraction).When we move 7 units left from -2, we land on -9.
Thus, -2 + (-7) results in -9, which confirms that we have moved 7 to the left of -2 on the number line.
Complete question:
Which of the following is a correct interpretation of the expression -2 + (-7)?
Choose 1 answer:
The number that is 2 to the left of 7 on the number lineThe number that is 2 to the right of 7 on the number lineThe number that is 7 to the left of −2 on the number lineThe number that is 7 to the right of −2 on the number line
A survey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand X aspirin. How many doctors use brand X aspirin? (Hint: Solve for X
Answers
X/2,000 = 3/5
Multiply: 2,000*3= 6,000
Divide: 6,000/5
Answer: 1,200 doctors use brand x
At a rate of 4%, you paid $144.00 in interest over a two-year period. What was the original amount of your loan?
A. $2,000.00
B. $2,550.00
C. $2,250.00
D. $1,800.00
Answers
Formula
I= P x r x t
where:
I= Interest
P is the principal amount, $1800.00.
r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
t is the time involved, 2 year(s) time periods.
So, t is 2 year time periods.
To find the simple interest, we multiply 1800 × 0.04 × 2 to get that: $144.00
Where I = interest = $144.00
P = principal = ?
R = rate = 4% = 0.04
T = time = 2 years
I = PRT
P = I / RT
P = 144 / [0.04 * 2] = 144 / 0.08
P = 1800.
Therefore, the principal is $1,800.00.
The correct answer is D.
A quotient of 8.4×10^9 and a number n results in 5.6×10^27 what is the value of n
Answers
[tex] \frac{8.4\times10^9}{n}=5.6\times10^{27} [/tex]
A good first step would be to multiply both sides by n, cancelling out the n in the denominator on the left side and leaving you with:
[tex]8.4\times10^9=(5.6\times10^{27})n[/tex]
And of course, to get n by itself from here, you simply divide both sides by [tex]5.6\times10^{27}[/tex]:
[tex]n= \frac{8.4\times10^9}{5.6\times10^{27}} [/tex]
Valerie earns $24 per hour. Which expression can be used to show how much money she earns in 7 hours?
A. ( 7 + 20 ) + ( 7 + 4 )
B. ( 7 x 20 ) + ( 7 x 4 )
C. ( 7 + 20 ) x ( 7 + 4 )
D. ( 7 x 20 ) x ( 7 x 4 )
Who ever answers the best gets brainliest!
Answers
In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Tina solve? A) 10 B) 15 C) 25 D) 35
Answers
Answer:
B) 15
Step-by-step explanation:
In order to solve this we have to create a system of equations, where the easy puzzles are represented by x, and the hard puzzles are y, so you just have to multiply that for the points to get the total points in all:
30x+60y=1950
If the player did 50 in total:
x+y=50
Now we just solve for x in the second equation and then insert that into the first equation:
x=50-y
30(50-y)+60y=1950
1500-30y+60y=1950
30y=450
y=450/30
y=15
So we know that Tina solved 15 hard puzzles.
1 and 2/5(-3/5) in simplest form
Answers
Find f '(−5), if f(x) = (−4x2 − 2x)(−x2 − 9)
Answers
x+0 or x=-0.63297
heres step by step
−5x=(−4x2−2x)(−x2−9)−5x=4x4+2x3+36x2+18x
heres step by step
Step 1: Subtract 4x^4+2x^3+36x^2+18x from both sides
−5x−(4x4+2x3+36x2+18x)=4x4+2x3+36x2+18x−(4x4+2x3+36x2+18x)−4x4−2x3−36x2−23x=0
Step 2: Factor left side of equation
x(−4x3−2x2−36x−23)=0Step 3: Set factors equal to 0.x=0 or −4x3−2x2−36x−23=0x=0 or x=−0.63297
Answer: the answer is -2192
Hey guys, I need help answering this question for my Algebra 2 class.
Answers
We can see immediately that this is a horiz. parabola, because y is squared, not x. Because y^2 and x are both positive, we know that the parabola opens to the right. Where is the vertex?
y^2 - 6y + 9 - 9 -51 = 20 x (after completing the square)
Then (y-3)^2 - 60 = 20x, or (1/20)(y-3)^2 -3 = x, or (1/20)(y-3)^2=x+3
The vertex is at (-3,3).
Comparing (1/20)(y-3)^2=x+3 to x-h = 4p(y-3)^2, we see that p = 1/80
The focus is p units to the right of the vertex, at (-3+1/80, 3).
The directrix, a vertical line, is p units to the left of the vertex, at x = -3-1/80.
Please ask questions if need be.