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
In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y + 1/3) 4. 6(3x + 1) and 9x + 6 + 9x
Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
How can polynomial functions be written when given the zeros?
Answer:
Write it in it’s factored form
Step-by-step explanation:
For more info you can look it up.
Jim walks a 1 3/4 -mile path two times a week. He also bikes 20 1/5 miles two times a week. What is Jim’s total mileage from walking and biking for one week?
Answer:
42.9 miles in one week
Step-by-step explanation:
anyone good at solving rational zeros
Answer:
I am what's your question?
Step-by-step explanation:
A is the center of the circle, and the length of CD is 15 centimeters.
1. Select a segment that is a radius.
Answer:
All answers expect CD
Step-by-step explanation:
A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD are a radius because it half of diameter, AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C
CD is the diameter.
Cory has the marbles shown below. If Cory gives of the marbles to his brother, how many marbles will Cory have left 0 A 3 B5 C 10 D 1o show work
Answer:
Can you give more information so i can answer your question
Step-by-step explanation:
Help with this plz bc I need help
Answer:
49 students in total
Step-by-step explanation:
If you were to put it on loose-leaf then 3 times 21 is 7 so you do the same with 4. 4 times 7 is 28. 28 plus 21 is 49 there would be 49 students in total.
Write an equation the line passes through (4, 1) and is parallel to y = - 2x + 7
Answer:
y = -2x + 9
Step-by-step explanation:
The equation of the new line is the same as that of this given line, EXCEPT that the constant will be different.
Start with y = mx + b; substitute 1 for y, 4 for x and -2 for m:
1 = -2(4) + b
Then b = 9, and y = -2x + 9
You went to BW3, your total bill was $56.47, if you want to give an 18% tip, what's your final bill?
Answer:
The answer is 66.6346 round it to what ever place you need to.
Step-by-step explanation:
Take the 56,47, multiply it by .18, and add that value to 56.47 Hope it helps
What is the Circumference of a circle with a radius of 15mm? There are no choices
Answer:
90
Step-by-step explanation:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters. It drained the same number of liters each hour. What was the change in the number of liters of water in Julie's pool each hour and what is the unit rate
Given:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters.
It drained the same number of liters each hour.
To find:
The change in the number of liters of water in Julie's pool each hour and what is the unit rate.
Solution:
We have,
Water drained in 12 hours = 534.72 liters
Water drained in 1 hour = [tex]\dfrac{534.72}{12}[/tex] liters
= [tex]44.56[/tex] liters
44.56 liters water drained in 1 hour.
So, the change in the number of liters of water in Julie's pool each hour is 44.56 liters.
The water is decreasing with respect to time, so the rate of change must be negative.
Rate of change = -44.56 liter per hour
Therefore, the rate of change is -44.56 liter per hour.
Add or subtract. Write the simples form
2/3 + (5/3 - 3/4)
Write an equation in slope-intercept form for each of these representations.
1. A line with a y-intercept of 2 and a slope of -¼
2. A line that passes through (1, -3) and (3, -7)
Answer:
1. y= -1/4x +2
2. y= -2x -1
Step-by-step explanation:
hi can someone please help me
Answer:
Volume = 1436.8 cm³
Step-by-step explanation:
Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
For a sphere which has the radius = 7 cm
Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]
= 1436.76
≈ 1436.8 cm³
Therefore, volume of the sphere is 1436.8 cm³.
What is the inverse function of f(x) = -2?
25−2(5+4x)
15+8x
35+8x
HURRY I HAVE TO DO THIS TEST BEFORE 3 AND ITS 50 QUESTIONS
15-8x
7x
Step-by-step explanation:
25 - 2(5 + 4x)
= 25 - 10 - 8x (Distributive Property)
= 15 - 8x.
I would greatly appreciate some help with this problem.
Answer: I think C
Step-by-step explanation:
Help !!!
See question in image.
Please show workings .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) from first principles is
f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator
= lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero
f'(x) = 9x²
Heeeeeelp pleaseeeeeee
Answer: angle R and T = 55; angle S and U = 125
Step-by-step explanation:
Answer:
∠S and ∠U = 125° and ∠R and ∠T = 55°
Step-by-step explanation:
The interior angles of a parallelogram with differing values form a supplementary angle meaning the sum is 180°. Use this information to make an equation.
11x + 4 + 5x = 180
16x + 4 = 180
16x = 176
x = 11
Substitute the solution for x to find the interior angles.
11(11) + 4 = 121 + 4 = 125
5(11) = 55
A person makes 300 dollars a month babysitting. If they
plan to save 30% of that, how much will they save each
month? PLEASE HELPPP WLL GIVE BRAINLEIST
Answer:
They will save $90 each month
Step-by-step explanation:
300*30%
or
300*.3
90
A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?
A. 2 items
B. 4 items
C. 38 items
D. 40 items
Is 6x + 9 = 9x an expression or equation?
Answer:
Step-by-step explanation:
this is an equation because it has an equal sign,
expressions do not have an = sign
Answer: Equation
Step-by-step explanation: This is an example of an equation.
Equations are mathematical sentences that contains an equals sign.
What is 2.5t=10
T is variable
Answer:
ddd
Step-by-step explanation:
Answer:
t=10/2.5
t=4.........
On a test, you correctly answer six 5-point questions and eight 2-point questions. You earn 92% of the possible points on the test. How many points pis
the test worth?
The test is worth p-points,
30
Answer:
The test is worth 46 points.
2.) Which is equivalent to 3 (а- 9)?
За - 9
OOption 2
оза + 9
оза - 27
Answer:
3a-27
Step-by-step explanation:
Distribute the 3
3 x a is 3a
3 x 9 is 27
Who this also ?? Help please :)
Answer:
Step-by-step explanation:
b
b
lol
hope this helps <3
Answer:
in y=mx + b, b is the y intercept. Sp answer choice d.
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
all decimals are:-
a) Rational number
b) irrational numbers
c) real numbers
d) integers
Answer:
I will win the war again like the last one .....
Please i will thank you and give the best answer brainiest also 5 stars plssssss
Answer:
Yes!, this is a scientific model because this shows everything of the water cycle.In fact the water cycle shows the continuous movement of water within the Earth and atmosphere. It has the system that includes all the different processes.For example Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow.
hope this is what your looking for! ^^
Answer:
yes
Step-by-step explanation:
Frequent and detailed measurements help scientists make models of and determine changes in Earth's water cycle. The water cycle describes how water evaporates from the surface of the earth, rises into the atmosphere, cools and condenses into rain or snow in clouds, and falls again to the surface as precipitation.
Five buses leave on a field trip .There are about 45 students per bus.About how many students are on the 5 buses.