Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
Question 4 (2 points)
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?
оа
2y + 10x = 8
Ob
4y - 10x = 12
OC
5y + 2x = 10
Od
5y-2x = 25
Question 5 (2 points)
What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12?
Answer:
12
Step-by-step explanation:
The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.
Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Learn more about slopes here:
https://brainly.com/question/3605446
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Sorry the pic looks like that but help me pleasee
Estimate 307% of 29.
Answer:
89.03
Step-by-step explanation:
29x3.07=89.03
At store A, rulers are sold individually. The cost y of x rulers is represented by the equation y = 0.95x. The costs of rulers at store B are shown in the table. Number of Rulers (x) Cost (y) 5 $4.60 10 $9.20 15 $13.80 20 $18.40 Use the slope of each store to determine which store charges more per ruler. Explain.
Answer:
The ruler at store A cost more
Step-by-step explanation:
Ruler A=$0.95 per ruler
Ruler B=$0.92 per ruler
PLEASE HELP ME
Solve for X and Z
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Answer:
x = 1z = 11Step-by-step explanation:
If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:
2(2x+1) = 8x-2
4x +2 = 8x -2 . . . . eliminate parentheses
4 = 4x . . . . . . . . . . add 2-4x to both sides
1 = x . . . . . . . divide by 4
__
The above assumption makes the two segments marked with z-expressions be the same length:
3z = z +22
2z = 22 . . . . . . subtract z
z = 11 . . . . . . . . . divide by 2
The values of X and Z are 1 and 11, respectively.
2. Solve the equation for x.
14 - x = 5x - 4
Answer:
x=3
Step-by-step explanation:
14-x=5x-4
Add the x from the left side to the right
14=6x-4
and the 4 to the left side
16=6x
6x=18
x=3
Answer:
x = 3
Step-by-step explanation:
If we substitute x for 3 it will give u the following expression:
14 - 3 = 5 x 3 - 4
If we solve both these expressions they will both give us: 11
This will prove the equation correct
Please help ASAP!!!??
Answer:
[tex]\{-2,-1,1,2,4\}[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
[tex]y = \{-1,-2,2,1,4\}[/tex]
Order from least to greatest"
[tex]y = \{-2,-1,1,2,4\}[/tex]
Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]
3(2x+5)-x=__x+__
put 2 numbers in the blanks to make no solutions
Answer:
5x + 15
Step-by-step explanation:
3(2x + 5)-x
6x + 15 - x
5x + 15
Hope this Helps!!!
What would the exponential growth model be for the given situation?
Please help. Will go be brainliest
Answer:
a
Step-by-step explanation:
7/9 * 10/9 * 0.62 =
(7 * 10 * 62) / (9 * 9 * 100)
Multiply
4340 / 8100
Simplify by dividing by 20.
217/405 (about 0.535)
This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3
For each gym memberships sold, the gym keeps $42 and the employee who sold it gets eight dollars. What is the commission of the employee earned as a percentage of the total cost of the gym membership?
Answer:
i think 7
Step-by-step explanation:
Answer
is there it a multiple choice or just a word problem
Step-by-step explanation:
A tree is broken at a height of 35 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. If the tree is at right angles to the ground, find the original height of the tree.
find the greatest common factor of the following:
c) 2xy⁵, 6x³y³
d) 6x²y², 9xy³, 3x⁴y⁴
f) 10ab, 20bc, 30ca
Answer:
c
[tex]2x {y}^{3} [/tex]
d
[tex]3x {y}^{2} [/tex]
f.10
Step-by-step explanation:
C. first you have to find the HCF of 2 and 6 then the HCF of
x and
[tex] {x}^{3} [/tex]
and
[tex] {y}^{5} and \: {y}^{3} [/tex]
Then:
[tex]2x {y}^{3} [/tex]
D.first you have to find the HCF of 6 ,9 and 3 then the HCF of
[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]
then the HCF of
[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]
then:
[tex]3x {y}^{2} [/tex]
F. I'm not sure but 10
if its helpful ❤❤❤❤
THANK YOU.
Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.
Answer:
Step-by-step explanation:
ok so do this
9x² + 3x - 8 - (3x² + 8x)
distribute the negative sign
9x² + 3x - 8 - 3x² - 8x
simplify
6x² - 5x - 8
hope this helps <3
A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please.
Answer:
Area formula: l x w
= 8 x 3
24 cm^2
Perimeter formula: Sum of all sides
= 8+8+3+3
= 25 cm
Answer: 24cm
Step-by-step explanation:
8 multiplied by 3
Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help
Answer:
3x+9
Step-by-step explanation:
If it’s multiple choice the other one is
x +1+1+1+x +1+1+1+ x +1+1+1
I hope this helps!
A bag of marbles has 5 red, 2 blue, and 3 green marbles. A marble is randomly selected. What is the probability AS A DECIMAL that a blue marble is pulled?
Answer:
0.25 Hope this helps :)
Step-by-step explanation:
You add the 5 red and 3 green
8 Mables besides blue
so that's 2/8
simplified 1/4
1/4=0.25
7.0 x 10^3 + 2.0 x 10^2
Answer:
7200
Step-by-step explanation:
Find the exponents first.
10^3 = 1000
10^2 = 100
So..
7 x 1000 + 2 x 100
Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).
7000 + 200 = 7200
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
Q
A rectangular field is 16m broad
and the ratio of the length and
find the length of the field
breadth is 3:2.
Find the length of the field
f(x) = -3x^2
Find f(-2)
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Answer:
f(-2) = -12
Step-by-step explanation:
Put -2 where x is and do the arithmetic.
[tex]f(x)=-3x^2\\\\f(-2)=-3(-2)^2=-3\cdot4=\boxed{-12}[/tex]
You want to limit the amount of television you watch to an average of at most 2 hours a week during and eight week period. How many hours x can you watch in the eight weeks to meet your goal.
Answer:
x = 16hours
Step-by-step explanation:
Given
Total number of hours to watch the television a week is 2 hours, that is;
2hours =1 week
We are to find the number of hours to watch in eight weeks to meet the goal
x hours = 8 weeks
Divide both expressions;
2/x = 1/8
Cross multiply
1 * x = 2*8
x = 16
Hence he will use 16hours to watch the television in 8 weeks
help me plz i dum reeee
Answer:
The mean absolute deviation of the data set is 2.5
Step-by-step explanation:
We need to find mean absolute deviation of the data set:
10,8,10,6,6,2,10,4
First we will find mean of the given data set.
The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]
Sum of all data = 10+8+10+6+6+2+10+4 = 56
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]
Now, we will calculate the absolute difference between mean and each data value.
|10-7| = 3
|8-7| = 1
|10-7| = 3
|6-7| = |-1| = 1
|6-7| = |-1| = 1
|2-7| = |-5| = 5
|10-7| = 3
|4-7| = |-3| = 3
Now, we will find mean of 3,1,3,1,1,5,3,3
Sum of all data = 3+1+3+1+1+5+3+3 = 20
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]
So, the mean absolute deviation of the data set is 2.5
(x5 + 5x4 – x3 – 22x2 + x + 6) =
(x2 + 3x - 2)
Answer:
x = 4/13
Step-by-step explanation:
I hope this helps!
Solve for the variable. You may use the hangers to help you.
40 = 2f + 12
f
f
40
12
Answer:
i don't know what the hangers are for but the calculation is given below
Step-by-step explanation:
40 = 2f + 12
40 - 12 = 2f
28 = 2f
28/2 = f
14 = f
therefore f = 14
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Answer:
$400
Step-by-step explanation:
140 ÷ 35% = 400
Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.
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Answer:
y = 2^x
Step-by-step explanation:
The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.
The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...
y = 2^x
please help will give brainly
Graph the system of linear inequalities.
y > x + 2
y ≥ x − 2
Answer:
I hope this helps sorry if I'm wrong
Answer:
y = 1x
Step-by-step explanation:
y
[tex]y \geqslant 1x + 2[/tex]
cancel out the +2 by using the opposite sign and add a 1 in front of the x
A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?
Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
what is the rate of change ?
y=-5x-3
Answer:
the rate of change is -5.
Step-by-step explanation:
y = -5x - 3
-5 = rate of change
-3 = x intercept