Mathematics High School

1. a stockholder owns 381.881 shares. by the end of the year, he had increased his number of shares by 14.814. what is the total number of shares owned by the stockholder?
2. last week a sales representative earned a salary of $412.56 and a commission of $72.48. how much did she earn in all?
3.joan deposited a check for $48.51 in her checking account. if the previous balance was $381.49, how much money does joan now have in the account?

Answers

Answer 1

1 is 396.695
2 is 485.04
3 is 430

Answer 2

1. 367.067 is it......

Related Questions

What is -1 3/5 x -2/3 as a mixed number?

Answers

Convert -1 3/5 to -8/5. Then multiply as follows:

-8 -2
--- * ----- = 16/15 (an improper fraction), or 1 1/15 (a mixed number)
5 3

1 1/15
1 3/5=8/5x2/3=16/15=1 1/15

What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (4, −3) and has (5, 2) as its vertex. What is the standard form of the equation?

Answers

[tex](h;\ k)\ -\ \text{the coordinates of the vertex}[/tex]

[tex]\text{therefore we have:}\ f(x)=a(x-5)^2+2[/tex]

[tex]\text{a parabola that passes through the point (4, −3)}[/tex]

[tex]\text{substitute the coordinates of the point (4;-3) to the equation:}[/tex]

[tex](4;-3)\to x=4;\ y=-3\\\\-3=a(4-5)^2+2\\\\-3=a(-1)^2+2\\\\-3=a+2\ \ \ |-2\\\\a=-5[/tex]

[tex]f(x)=-5(x-5)^2+2=-5(x^2-2\cdot x\cdot5+5^2)+2=-5(x^2-10x+25)+2\\\\=-5x^2+50x-125+2=-5x^2+50x-123[/tex]

Answer:

y = x² - 10x + 27

Step-by-step explanation:

HELP ASAP
What are the coordinates of the vertices of the triangle after a dilation by a scale factor of
1
4
, centered at the origin?

U → U'
V → V'
W → W'

Answers

Answer:
U' = (-1,2)
V' = (2,2)
W' = (0,-2)

Explanation:
The given dilation factor is 1/4
This means that each coordinate point is multiplied by 1/4 to get its dilated image.

For point U:
Point U = (-4,8)
x coordinate of U' = 1/4 * x coordinate of U
x coordinate of U' = 1/4 * -4 = -1
y coordinate of U' = 1/4 * y coordinate of U
y coordinate of U' = 1/4 * 8 = 2
This means that: U' = (-1,2)

For point V:
Point V = (8,8)
x coordinate of V' = 1/4 * x coordinate of V
x coordinate of V' = 1/4 * 8 = 2
y coordinate of V' = 1/4 * y coordinate of V
y coordinate of V' = 1/4 * 8 = 2
This means that: V' = (2,2)

For point W:
Point W = (0,-8)
x coordinate of W' = 1/4 * x coordinate of W
x coordinate of W' = 1/4 * 0 = 0
y coordinate of W' = 1/4 * y coordinate of W
y coordinate of W' = 1/4 * -8 = -2
This means that: W' = (0,-2)

Hope this helps :)

The coordinates of a triangle's vertices after a dilation by a scale factor of 1/4, centered at the origin, are found by multiplying each of the original vertex coordinates by 1/4.

The coordinates of the vertices of the triangle after a dilation by a scale factor of 1/4, centered at the origin, can be found by multiplying the original coordinates of each vertex by 1/4. If the original coordinates are (x, y), then the coordinates after the dilation will be (x/4, y/4).

This applies to all vertices of the triangle, so the transformed triangle, denoted by U', V', and W', will have vertices with coordinates calculated by taking the original vertex coordinates of U, V, and W and scaling them down by a factor of 1/4.

The tank shown is a cylinder with diameter equal to 4 feet and height equal to 12 feet. the tank holds 1130 gallons of rainwater when full. how many gallons of water are in the tank when the depth of the water is 9 feet?

Answers

we know that
volume of the tank=1130 gal

step 1
find the volume of the tank with deep 9 ft
volume of the tank with deep 9 ft=pi*r²*h
r=4/2-----> 2 ft
h=9 ft
volume of the tank with deep 9 ft=pi*2²*9-----> 113.04 ft³

step 2
convert to gal
1 ft³------------------> 7.48052 gal
113.04 ft³--------> x
x=113.04*7.48052-----> x=845.60 gal

the answer is
845.60 gal

alternative method

if the volume of the tank is 1130 gal for ----------> a height of 12 ft
X volume-----------------------------------> 9 ft
x=9*1130/12-----> 847.5 gal

Identify the type of sequence AND provide the next 3 terms:

5 , 9, 13, 17…

-1, 2, -4, 8…

8, 1, -6, -13…

Answers

21, 25,29

-16, 32, -64

not sure about the last one

Which point best represents the square root of 15?
A. Point A
B. Point B
C. Point C
D. Point D

Answers

The square root of 15 = 3.87
So point B is the answer it’s between 2 and 4

On Tuesday, Mrs. Myles assigned 7 more problems than she did on Monday. If she assigned x problems on Monday, write an expression to represent how many problems Mrs. Myles assigned on Tuesday

Answers

Answer:

Number of problems assigned on Tuesday = x+7

Step-by-step explanation:

Number of problems assigned on Monday = x.

Number of problems assigned on Tuesday is 7 more than that assigned on Monday.

Number of problems assigned on Tuesday = x+7. [In Matha we use + sign for more than]

The expression that will represent the number of problems Mrs. Myles assigned on Tuesday is x+7.

Answer: actually it 7 + x the other way around

Step-by-step explanation:

Find the value of the lesser root of x 2-8x+7=0

Answers

Hi there! The answer is x = 1

[tex] {x}^{2} - 8x + 7 = 0[/tex]

[tex](x - 7)(x - 1)[/tex]
Rule AB = 0, gives A = 0 or B = 0

[tex]x - 7 = 0 \: \: or \: \: x - 1 = 0 \\ x = 7 \: \: \: \: \: \: \: \: \: or \: \: x = 1[/tex]
Therefore, the smallest of both roots is x = 1.

Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80?

A.50%
B.75%
C.100%
D.25%

Answers

**The missing graph is attached with the answer**
Ans: Option (D) 25%

Explanation:
In this case you need to find the area under the curve, which would essentially be the probability of a value in the sample space.

Now the range given is from 60 to 80; it contains the mini-triangle.

The area of the triangle = (1/2)*base*height

Since base = 80 - 60 = 20
Height = 0.025 - 0 = 0.025 (see in the graph)

Therefore
The area of the triangle = 1/4 = 0.25 which is essentially be the probability.

In percentage form, it is 25% (Option D)

Answer:

75%

Step-by-step explanation:

Which expression is equivalent to square root 55x^7 y^6/11x^11 y^8? Assume x > 0 and y > 0.

Answers

The first step for solving this expression is to reduce the fraction with 11.
[tex] \sqrt{ \frac{5 x^{7} y^{6} }{ x^{11} y^{8} } } [/tex]
Now reduce the fraction with [tex] x^{7} [/tex].
[tex] \sqrt{ \frac{5 y^{6} }{ x^{4} y^{8} } } [/tex]
Reduce the fraction one more time with [tex] y^{6} [/tex].
[tex] \sqrt{ \frac{5}{ x^{4} y^{2} } } [/tex]
To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:
[tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex]
Since we cannot simplify this fraction any further,, the final answer is going to be [tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex].
Let me know if you have any further questions.
:)

Answer:

Basically the answer is C.

1. What is the median of the following set of numbers?
48.4, 47, 43, 47, 43.6, 41.6, 45, 51.4, 38.6

Hint: Order the numbers from least to greatest first!

A. 48.4 B. 43.6 C. 45
2. Each of the five math teachers are comparing the number of students in their homeroom classes. The number of boys and girls in each teachers’ classes are recorded in the table below.

Hint: Mean is the average.

Which statement best describes the means of the two sets of data?

A. The mean number of girls in 7 times greater than the mean numbers of boys in the homeroom classes.

B. The mean number of girls is the same as the mean number of bboys in the homeroom classes.

C. The mean number of girls is 7 more than the mean number of boys in the homeroom classes.

Answers

1. 38.6, 41.6, 43, 43.6, 45, (47), 47, 48.4, 51.4
The middle number (median) is 47.

2.The table is not displayed so will explain how you can solve the problem.
→ Mean is the average. Find the sum and divide by the quantity of numbers you added to find the sum.

If you still need help with #2, upload the image of the table or type in the data.

Answer:b

Step-by-step explanation:divided look around the chart

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the slope of the line through the origin and the center.

Answers

The origin equals (0, 0) and the center of the circle equal (r, r). We can use the slope formula:
y_2 - y_1/x_2 - x_1
Fill in:
0 - r/0 - r
r/r
1
The answer to this problem is 1.

The value of slope of the line through the origin and the center is,

⇒ Slope = 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Circle P is tangent to the x-axis and the y-axis.

And, the coordinates of the center are (r, r),

Now, The value of slope of the line through the (0, 0) and the center (r, r) is,

⇒ Slope = (r - 0) / (r - 0)

⇒ Slope = r/r

⇒ Slope = 1

Thus, The value of slope of the line through the origin and the center is,

⇒ Slope = 1

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8

Answers

B. 9-5=4. That's it.

What is the percent chance a coin lands on heads with 3 tosses?

Answers

1/2 x 1/2 x 1/2 = 1/8
then you convert it into a percent
12.5%

The local weather person has been accurate in her predictions within 2 degrees temperature forecast 80% of the time. Find the probability that she is accurate...
a) exactly 3 out of the next 5 days
b) at least 4 of the next 5 days

Answers

A) 0.2048
B) 0.7373

To find the probability that she is correct exactly 3 days, we have
[tex]_5C_3(0.8)^3(1-0.8)^{5-3} \\ \\\frac{5!}{3!2!}(0.8)^3(0.2)^2=0.2048[/tex]

To find the probability that she is right at least 4 of the 5 days, we find the probability she is right 4 days, the probability she is right 5 days, and add them together:
[tex]_5C_4(0.8)^4(1-0.8)^{5-4}+_5C_5(0.8)^5(1-0.8)^{5-5} \\ \\\frac{5!}{4!1!}(0.8)^4(0.2)^1+\frac{5!}{5!0!}(0.8)^5(0.2)^0 \\ \\5(0.8)^4(0.2)+0.8^5=0.4096+0.32768=0.73728\approx0.7373[/tex]

FACTORIZE PLEASE, A LOT OF POINTS

64x^(3)-48x^(2)+12xy^(2)-y^(3)

Answers

=> 64x³ - 48x²y + 12xy² - y³

=> (4x)³ - 3(4x)²(y) + 3(4x)(y)² - y³

We know the formula: (a - b)³ = a³ - 3a²b + 3ab² - b³

By applying this formula above, we will get

=> (4x - y)³. (Ans)

Hope this helps!

or you can just put it in a smaller form by saying (4x - y)³

A group consists of five men and seven women. four people are selected to attend a conference.
a. in how many ways can four people be selected from this group of twelve?
b. in how many ways can four women be selected from the seven women?
c. find the probability that the selected group will consist of all women.0

Answers

a. That would be 12C4 = (12*11*10*9) / (4*3*2*1) = 495 ways

b. This is 7C4 = 7C3 = (7*6*5) / 6 = 35 ways

c. This would come to 7C4 / 12C4 = 35/495 = 7/99

There are 158 fourth grade studnets and 139 fifth grade students going on a field trip. There needs to be one caperone for every 8 kids. Explain how to find the number of caperones needed for the trip.

Answers

To find the number of chaperones, you could find the total number of students that are going on the field trip and then break this number into groups of 8.

(158 + 139)/8
297/8 = 37.125

You will need a minimum of 38 chaperones for the 297 students. If there is any remainder(decimal) you will need an extra chaperone so the groups do not exceed 8.

grant is rolling a standard six sided number die eight times. how many outcomes are possible

Answers

There are 1679616 possible outcomes.

There are 6 possible outcomes for each roll; 6^8 = 1679616

We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.

Grant is rolling six sided number die. Hence, we can say that

Number of outcomes if rolled once = 6

Number of outcomes if rolled twice = [tex]6\times 6= 6^2[/tex]

Number of outcomes if rolled thrice= [tex]6\times 6 \times 6= 6^3[/tex]

We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.

Hence, if rolled 8 times then we have an exponent 8 on 6.

Therefore, the possible number of outcomes should be [tex]6^8= 1679616[/tex]

Hence, the number of possible outcomes is 1679616

The table shows the calories burned during exercise.
(picture of the table attached)

Which statement is true?

A)The y-intercept of the function is (15, 75).

B)The rate of change is 15 calories burned per minute.

C)A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.

D)An exponential function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.

Answers

For this case we observe that the function found in the table is a linear function because the exchange rate is constant.
We have then that the slope of the line is:
[tex]m = \frac{y2-y1}{x2-x1} [/tex]
Substituting values:
[tex]m = \frac{150-75}{30-15} m = 5[/tex]
Then, the equation of the line is:
[tex]y = 5x [/tex]
Answer:
C) A linear function to model the burned calories, and, as a function of time in minutes, x, is y = 5x.

Answer: C. A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.

Step-by-step explanation:

PLEASE HELP 20 POINTS

Answers

period would be the distance between 2 peaks

looking at the graph there is a peak on x= 1 and then a peak on x= 4
4-1 = 3 so the peak is 3

the amplitude is the midpoint between the highest point and lowest point
on the graph
the high point is y=1 and the low point is y = -2
1 + -3 = 3 spaces, midpoint = 3 / 2 = 1.5 so the amplitude = 1.5

the answer is the first one.

Answer:

Step-by-step explanation:

i put a awnser and that person hacked me lol

Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12

Answers

x = y - 3
2x + y = 12

substitute x = y - 3 into 2x + y = 12
2x + y = 12
2(y - 3 )+ y = 12
2y - 6 + y = 12
3y - 6 = 12
3y = 18
y = 6

substitute y = 6 into x = y - 3 to find x
x = y - 3
x = 6 - 3
x = 3

answer
x = 3 and y = 6

help please

Sammy is planning a trip to Nashville. He knows the hotel costs $125 per night and the round trip flight is $159. He has a budget of $900 to spend on his trip. Which of the following inequalities represents his budget to determine how many nights he can stay in Nashville?

125n + 159 ≥ 900
125n + 159 ≤ 900
159n + 125 ≤ 900
159n + 125 ≥ 900

Answers

The answer would be 125n + 159 is less than or equal to 900

In short, the second option is correct. Hope this helps!

$900 is the cap, the greatest amount Sam can spend. That immediately rules out the 1st and the 3rd choices. Does that help? How much does the hotel cost per night, and which letter represents the # of nights?

Find two number whose sum is 60 such that the sum of the square of one number plus 12 times the other number is a minimum

Answers

60=x^2+12
x^2=48
x=6.93

Hope this helps

A jet plane is descending at a rate of 200 feet per second from an altitude of 36000 feet let x represent the number of seconds of descent and y represent the jet plane’s altitude in feet.

Which expression represents this situation?

A. y = 200x - 36000

B. y = 200x + 36000

C. y = -200x - 36000

D. y = -200x + 36000

Answers

Rate of descend = 200 ft/sec

In x second, the plane will have descended by 200*x ft = 200x ft
The altitude of the plane, y after x seconds will be 36000 - 200x. That is,

y= 36000-200x = -200x + 36000.

Therefore, the correct expression representing this situation is D.

Jane's plane will be modeled using linear equation given by:
y=ax+b
where:
a=slope=rate
b=y-intercept or initial valuegiven:
from the question
a=200 ft per second
b=36000 ft
thus the expression representing the situation will be:
y=200x+36000
where x is time in seconds
thus the answer is:
B. y = 200x + 36000

HURRY PLZ
Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle.

Determine whether each set of side lengths could be the sides of a right triangle.

Drag and drop each set of side lengths to the correct box.

Right Triangle Not a Right Triangle.

6cm, 22.9cm, 20.1cm.
10.5cm, 20.8cm, 23.3cm

Answers

6^2 + 20.1^2 =? 22.9^2
36 + 404 does NOT equal 524.41
These do NOT form a right triangle.

10.5^2 + 20.8^2 =? 23.3^2
110.25 + 432.64 = 542.89
Therefore, it is a right triangle.

Answer:

Second option is the correct answer.

Step-by-step explanation:

To know if the given set of numbers can be possible lengths for a right triangle, we will use the Pythagorean theorem that states:

[tex]a^{2}+b^{2} =c^{2}[/tex]

a and b are smaller lengths.

Option first:

6cm, 22.9cm, 20.1cm.

[tex]6^{2}+20.1^{2} =22.9^{2}[/tex]

=> [tex]36+404.01=524.41[/tex]

=> [tex]440.01\neq 524.41[/tex]

This is not a right triangle.

Option second:

10.5cm, 20.8cm, 23.3cm

[tex]10.5^{2}+20.8^{2} =23.3^{2}[/tex]

=> [tex]110.25+432.64=542.89[/tex]

=> [tex]542.89=542.89[/tex]

This is a right triangle.

What is the smallest natural number that 2, 10, 14, and 36 will divide evenly?

Answers

Answer: 2

Written Answer: The smallest Natural number that 2, 10, 14, and 36 is divide evenly by is 2.

Tim bought 5 pencils for .25 cents each. he also bought 2 packs of paper for $1.25 each. he paid with a $10.00 bill. how much change could tim receive

Answers

Tim should receive $6.25.

.25 • 5 = 1.25

1.25 • 2 = 2.50

2.50 + 1.25 = 3.75

10 - 3.75 = 6.25

Find the approximate circumference of a circle with a radius of 2.6 millimeters. Use = 3.14.

Answers

The circumference would be 16.328 mm.

16.328 is the circumference... hope it helps

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?

Answers

For this we almost have the following equation:
[tex]h = -16t ^ 2 + 25 [/tex]
We must match the equation to zero:
[tex]-16t ^ 2 + 25 = 0 [/tex]
From here, we clear the value of t.
We have then:
[tex]16t ^ 2 = 25 t ^ 2 = 25/16[/tex]
We discard the negative root because we are looking for time:
[tex]t = \sqrt{ \frac{25}{16} } [/tex]
[tex]t = \frac{5}{4} [/tex]
Answer:
it will take him to reach the ground about:
[tex]t = \frac{5}{4} [/tex] seconds

Other Questions

SELECT ALL THAT APPLY Which adjectives describe Monsieur Loisel?dishonestindulgentirritableambitiouskindpenny-pinchinglovingwealthy How would an individual with emphysema affect each of the following respiratory volumes:a.Tidal Volume: b.Expiratory Reserve Volume: c.Vital Capacity: If the diameter of a sphere is 12cm, what is its volume to the nearest hundredth 10 - 3(3x - 40) = -9x A)x = -9 B)no solution C)x = 10 D)all real numbers hydrochloric acid reactys with zinc meetal. whichwould increase the reactin rate the most? When writing a formal letter, you should introduce yourself to the recipientB.above the inside address.C.in the first paragraph.D.after the letter closing. Name 2 active volcanoes in the Atlantic Ocean According to the philosophy of idealism, which subjects are especially important in stimulating thinking and promoting identification with the cultural heritage? why are these subjects useful? Which statement is true regarding methane and ammonia? The primary reason for assembly lines in factories is A)less need for overtime work. B)workers learn all parts of the assembly process. C)workers are able to use a wide range of skills in making products. D)workers are able to focus on a specific task in the assembly process. The condition of the environment greatly affects the health of its _____.1. rocks2. inhabitants3. solid waste4. contaminants Which phrase best completes the following sentence? Antes de ir a la universidad tienes que graduarte _______. Describe the reasons why the nationalists opposed the articles of confederation Cul NO dice Mara? Yo soy tan organizada como Juan. Soy ms organizada que Juan. Organizo tanto como Juan. Juan organiza mejor que yo. If rats are allowed to wander through a maze, they will subsequently run the maze with few errors when a food reward is placed in the maze's goal box. their good performance demonstrates: Prokaryotes that live in almost every habitat are... as a boythat's all he was backs from the corner package store shooting a pistol, firing it, once, at the dumbfounded man who falls forward, grabbing at his chest. When the speaker describes the shooter as "a boythats all he was what theme is suggested? Young boys are more violent than young girls. Children who commit crimes should be tried as adults. Young boys need structure to stay out of trouble. Children who commit acts of violence are victims too. Which phrases can be represented by the algebraic expression x + 14? Check all that apply. the quotient of a number and 14 a number plus 14 fourteen less than a number fourteen more than a number fourteen taken away from a number the product of fourteen and a number a number increased by 14 What type of rhythm would be present if abnormal impulses are ignored? Amber considers herself outgoing, upbeat, and talented. she also defines herself as an american, a biologist, and a musician. the first three descriptors represent her _____, and the last three represent her _______.