Julia bought stock at $281/8 per share. The value of each share increased by $65/8. How much is each share of stock now worth?​

Answers

Answer 1

The worth of the share of stock is $[tex]34\frac{3}{4}[/tex].

What is the worth of the stock now?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A mixed fraction is a fraction that is made up of a whole number and a proper fraction.  A proper fraction is a number where the numerator is less than the denominator.

The worth of the stock now = purchase price + increase in the share price

28 1/8 + 6 5/8

[tex]34 \frac{1 + 5}{8}[/tex]

[tex]34\frac{6}{8}[/tex] = [tex]34\frac{3}{4}[/tex]

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Related Questions

A flat of plants contains 12 plants. yoshi wants a garden that has three rows with 10 plants per row. write and solve an equation for the number of flats yos should buy.

Answers

Yoshi should buy 3 flats.

What is an equation?The equation is a statement of equality between two expressions that contain variables and/or integers. In essence, equations are questions, and the development of mathematics has been driven by efforts to discover systematic answers to those questions.

To find how many flats Yoshi should buy:

First, determine how many plants Yoshi requires in total. Multiply 3 by 10 so the garden will have three rows of ten plants each.3 × 10 = 30 total plantsAfter that, divide this value by the number of plants in a flat.30 / 12 = 2.5 flatsIf Yoshi is unable to purchase half the apartments, this figure must be rounded up to 3 flats.

Therefore, Yoshi should buy 3 flats.

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What equation can be used to find the sum of 4/10 and 7/100

Answers

Answer:

47/100

Step-by-step explanation:

First you have to make the denominators equal.

4/10 * 10/10 = 40/100

40/100 + 7/100 = 47/100

In a class 4/5 of the students have mathematical instruments 3/4 of these have lost their Protractors if 27 students have lost their protractors how many students are there in class ??

Answers

Answer:

4/5 of the students would have protractors.

Step-by-step explanation:

Geometry: complete this proof, ASAP!!!!!!!!

Answers

Answer:

1. Given

2. Definition of Congruent Angles

3. Triangle Interior Angle Sum Theorem

4. Transitive Property of Equality

5. Substitution Property of Equality

6. Definition of Congruent Angles

I NEED HELP WITH THIS ASAP! Find x and y

Answers

Answer: D

Step-by-step explanation: a^2+b^2=c^2

so use y value for b2 and 6 square root 3 as a and check with it.

Rajini throws a die. What is the chance of her getting a number 8?​

Answers

Answer:

Hey there!

Step-by-step explanation:

This is ur answer...

0/6

She has no chance getting an 8 because 8 doesn't exist in a dice....She can get 1-6 only....

Hope it helps!

Brainliest pls!

Have a good day!^^

Find a power series representation for the function. (center your power series representation at x = 0. ) f(x) = 1 9 x f(x) = [infinity] n = 0

Answers

The power series representation for the function, so the interval of convergence is (-9,9).

The definition of convergence refers to 2 or more matters coming together, joining collectively, or evolving into one. An example of convergence is when a crowd of people all move collectively into a unified organization.

Convergence is when two or extra matters come collectively to shape a brand new whole, like the convergence of plum and apricot genes within the plucot. Convergence comes from the prefix con-, meaning collectively, and the verb verge, because of this to show closer to.

The simple concept of convergence permits multiple responsibilities to be accomplished on a single device, which efficiently conserves space and power. for example, as opposed to wearing separate devices – like a cell cellphone, digital camera, and virtual organizer – each era converges on a single tool or telephone.

We have given f(x)=1/(9+x)

f(x)=(1/9)*(1/(1-(-x/9))

f(x)=summation of (n=0 to infinity) [1/9*(-x/9)n]

=summation of (n=0 to infinity) [(-1)n*(xn/9n+1)]

f(x)=summation of (n=0 to infinity) [(-1)n*(xn/9n+1)]

Let an=(-1)n*(xn/9n+1)

using the Ratio Test

L=lim n-->infinity|an+1/anL=lim n-->infinity|[(-1)n+1*(xn+1/9n+2)]/[(-1)n*(xn/9n+1)]|

=lim n-->infinity|[(-1)n+1*(xn+1/9n+2)]*[9n+1/(-1)n*(xn)]|

=lim n-->infinity|(-1)*(x)/9)|

=|-x/9|<1

x/9<1 and x>9>-1

x<9  and x>-9

x is -9<x<9

for x=9 the series ,summation of (n=0 to infinity) [(-1)n*(9n/9n+1)] =summation of (n=0 to infinity) [(-1)n*(/9)]

=1/9*summation of (n=0 to infinity) [(-1)n]

By the geometric series this summation of (n=0 to infinity) [(-1)n] diverges

=1/9*diverges

the series diverges for x=9

for x=-9 the series ,summation of (n=0 to infinity) [(-1)n*(-9)n/9n+1)] =summation of (n=0 to infinity) [(-1)2n*(/9)]

=1/9*summation of (n=0 to infinity) [(-1)2n]

which is diverges

so the interval of convergence is (-9,9)

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Situation:
An archaelogist in Turkey discovers a
spear head that contains 57%of its
original amount of C-14.
Find the age of the spear head to the nearest
year.
Enter the correct answer.

Answers

Answer:

t = 6162 years

Step-by-step explanation:

This equation takes the form of

We are given everything but the amount of C-14 at time t = 0.  But we can figure it out from the info we ARE given.  We are told that when the spear head is found it contains 54% of its original amount of C-14.  Notice we are dealing in percents.  If 54% remains when it is found, it started out with 100% of its amount.  That's our N value.  Filling in:

Our goal is to get that t down from the exponential position that it is currently in.  To do that we will need to eventually take the natural log of both sides, because ln's and e's "undo" each other, much like squaring "undoes" a square, or dividing "undoes" multiplication.  So we take the natural log of both sides.  On the right side, notice that when we take the natural log, the e disappears; it's "undone", gone.  Before that, though, we will simplify by dividing both sides by 54.  100/54 = 1.851851852.  So, altogether...

Simplifying by plugging the log of that number into our calculator, we get

.6161861395 = .0001t  and

t = 6161.8613

Rounding to the nearest year, t = 6162 years

Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint. The average
15 + 3x
3+x
15+ 3x dollars per pint. If the equation y =
=
is graphed in the
3+x
cost of all the berries he bought was
xy-plane, what quantity will be represented by the y-intercept of the graph?
O The total cost, in dollars, of all the raspberries Ethan bought
O The average cost, in dollars per pint, of all the raspberries Ethan bought
O The total cost, in dollars, of all the blueberries Ethan bought
O The average cost, in dollars per pint, of all the blueberries Ethan bought

Answers

The y-intercept represents the average cost, in dollars per pint, of all the raspberries Ethan bought. Therefore, option B is the correct answer.

Given that, Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint.

The average is (15 + 3x)/(3+x) per pint.

We need to find what quantity will be represented by the y-intercept of the graph.

How to find the y-intercept of the graph?

Since the y-intercept always has a corresponding x-value of 0, replace x with 0 in the equation and solve for y. On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

Now, the graph of y=(15 + 3x)/(3+x)is given below.

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (−5,0)

y-intercept(s): (0,5)

So, the y-intercept represents the average cost, in dollars per pint, of all the raspberries Ethan bought.

Therefore, option B is the correct answer.

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Which of the graphs below represents the equation 3x-2y=-12?

Answers

Answer:

Graph B

Step-by-step explanation:

Transform the given equation into the slope intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

3x - 2y = -12

2y = 3x + 12

y = 3/2x + 6

Graph B represents y = 3/2x + 6 because it has a y-intercept at (0,6) and a slope of 3/2.

Convert to point intercept form
-2y = -3x -12
Y = 3/2x + 6
Slope = 3/2 Andy intercept is 6
So it’s B.

What is the approximate radian measure
of an angle with a degree measure of
59.6°?

Answers

Answer:

The approximate radian measure of the angle. So we have 15 nine 0.6 degrees convert degrees to radiance. You have to multiply by pi over 1 80. So if we did that, that'd be 59.6 pi over 1 80. So if we want to know the approximate value, we're going to use the pi button on our calculator to figure out what 59.6 times pi is. That's approximately 187.2389, Divided by 1 80. So now I would divide that number by 180 and that gives me 1.04 radiance, 1.04 radiance is the answer.

really confused about b, how to get the position of w. Hope someone could help me.

Answers

Answer + Step-by-step explanation:

(a)

[tex]\overrightarrow{PQ} =a+\frac{3}{5} b[/tex]

(b)

we are given:

[tex]\left\vert \overrightarrow{RQ} \right\vert =\frac{3}{5} \left\vert \overrightarrow{OP} \right\vert[/tex]

Then

[tex]\left\vert \overrightarrow{WR} \right\vert =\frac{3}{5} \left\vert \overrightarrow{WO} \right\vert[/tex]

and we know that :

[tex]\overrightarrow{OW} = \overrightarrow{OR} + \overrightarrow{RW}[/tex]

Then

[tex]\overrightarrow{OW} = a +\frac{3}{5} \overrightarrow{OW}[/tex]

Then

[tex]\frac{2}{5} \overrightarrow{OW} = a[/tex]

Then

[tex]\overrightarrow{OW} = \frac{5}{2} a[/tex]

please help I don't understand

Answers

Answer:

Each number is increasing by [tex]\frac{1}{4}[/tex].  The next number would be 1 [tex]\frac{1}{4}[/tex] or [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

I am not sure what the question is.  I am wondering if they are asking how is the list growing or what would be the next number.

Each number is increasing by 1/4

[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{4}[/tex] or [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{4}[/tex] is the same as [tex]\frac{2}{4}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex] To change [tex]\frac{1}{2}[/tex] to [tex]\frac{2}{4}[/tex]  you multiple the top and the bottom of [tex]\frac{1}{2}[/tex] by2 to get [tex]\frac{2}{4}[/tex]

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{4}{4}[/tex] or 1

what are these questions i need help

177
3 is a root of f(x) = x2–93987. Find the other roots of f(x).
Write your answer as a list of simplified values separated by commas, if there is more than one value.

Answers

The roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

What are quadratic equations?

Quadratic equations are equations that have a second degree and have the standard form of ax^2 + bx + c = 0, where a, b and c are constants and the variable a does not equal 0

How to determine the other roots of the equation?

The equation of the function is given as:

f(x) = x^2 - 93987

The above equation is a quadratic equation

Express the equation as a difference of two squares

f(x) = (x - √93987)(x + √93987)

Set the equation of the function to 0

(x - √93987)(x + √93987) = 0

Split the factors of the above function equation as follows

x - √93987 = 0 and x + √93987 = 0

Solve for x in the above equations

x = √93987 and x = -√93987

Hence, the roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

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Mr. and mrs. smith plan to roof the cabin on 2 consecutive days. Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?

Answers

The probability that it will rain both days is [tex]\frac{1}{4}[/tex].

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1/4

Hence,

The probability that it will rain both days is [tex]\frac{1}{4}[/tex].

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A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173
miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it
turn when it changed direction? Show your work.

Answers

Using the law of cosines, the ship turned 72 degrees northwest when it changed direction.

What is the law of cosines?

The law of cosines states that we can find the side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

In which:

C is the angle opposite to side c.a and b are the lengths of the other sides.

For this problem, the parameters are given as follows:

a = 94, b = 119, c = 173.

Hence the internal angle C is found as follows:

c² = a² + b² - 2abcos(C)

173² = 94² + 119² - 2 x 94 x 119cos(C)

22327cos(C) = -6932

cos(C) = -6932/22327

C = arccos(-6932/22327)

C = 108º.

The turning angle is the outside angle, which is supplementary with C, hence:

T = 180 - C = 180 - 108 = 72º.

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A submarine is descending to examine the seafloor 2,100 feet below the surface. it takes the submarine 2 hours to make this descent. Write an equation to
represent the relationship between the submarine's elevation and time.

Answers

Answer:

Step-by-step explanation:

x = time

y = elevation

At x = 0  ,  y  = 0

It takes the submarine 2 hours to make descent of 2100 ft

=> x = 2 , y  = - 2100

Slope = ( -2100 - 0)/(2 - 0)  =  -1050

y - 0 = -1050 ( x -0)

=> y = -1050x

1050x  + y = 0

represent the relationship between the submarine's elevation and time.

What is the number between 8.1 and 8.24?

Answers

Answer:

8.17

Step-by-step explanation:

What is the number between 8.1 and 8.24?

Add the numbers and divide by 2 and you will find the average

(8.1 + 8.24) : 2 =

8.17

8.17 is exactly half way between them.

PLEASE ANSWER QUICKLY

Answers

Answer:

f(x) = 5x - 5

Step-by-step explanation:

f(x) = 5x - 5 is a linear equation as it has no power.

Consider the line 4x + 2y = 8.

What is the slope of a line perpendicular to this line?

Answers

Answer:

supposed to make the subject y then slope is -2

4x + 2y = 8
y = mx + b
Subtract 4x from both side
2y = 8 - 4x
Divided each term by 2
y = 4 - 2x
y = -2x + 4

Using the slope-intercept form, the slope is -2
m = -2
The equation of a perpendicular line to y = -2x + 4 must has a slope that is the negative reciprocal of the original slope.

M perpendicular = - 1/-2

Move the negative infront of the fraction
M perpendicular = 1/2

Consider the word pencil. if all of the letters are used, and the first letter can’t be n or l, how many ways can the letters be arranged?

Answers

480 Ways can the letters be arranged.

What is the meaning of probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

First letter can't be n or l

=   4! × [tex]5P_{3}[/tex]

=    24 × 5! /3!

=     24 × 5 × 4

=         480

Therefore, 480 ways can the letters be arranged.

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Answer: 480 ways

Step-by-step explanation:

State what additional information is required in order to know the
triangles are congruent using the theorem or postulate listed.

Answers

Answer: line ZX is congruent to line VX (option 4)

Step-by-step explanation:

We already know <X is congruent to <X, we also know that line YX is congruent to line XW. Now all we need is one more line adjacent to X which is going to be ZX ad VX

Enter the correct answer in the box. write the expression (x4)8 in simplest form.

Answers

The simplest form of the given expression ( x⁴ )⁸ exists x³².

What is an expression?

Expression in Math exists described as the collection of numbers variables and functions by utilizing characters like addition, subtraction, multiplication, and division.

The given expression will be simplified as:-

( x⁴ )⁸ = x ⁴ ⁽⁸⁾

( x⁴ )⁸ = x ³²

Therefore the simplest form of the given expression exists as x³².

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A nonnative fern species is introduced into an area and quickly begins to spread. The number of plants can be modeled by
P(n) = 1,200(1.68)", where n is the number of months since the ferns were introduced. Use this information to complete the
statements.
Select the correct answer from each drop-down menu.
Based on the model, there were initially
The monthly percent rate of change is
This situation is modeled by an exponential
%.
ferns.
function.
Submit

Answers

Based on the information, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

How to complete the information?

The given parameters from the question are:

P(n) = 1200(1.68)^n

Where

n represent the number of months

An exponential growth function is represented as:

P(n) = a * (1 + r)^n

Where

a represents the initial value

r represents the rate

By comparison, we have

a = 1200

1 + r = 1.68

This gives

r = 0.68 = 68%

Hence, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

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1,200

68

growth

Got it right on Edmentum

Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1

Answers

The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the solution to the system?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 2x- y = 3

2x- x - 1 = 3

Evaluate the like terms

x = 4

Substitute x = 4 in y = x + 1

y = 4 + 1

Evaluate

y = 5

Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

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A meson when at rest decays 2 μs after it is created. If moving in the laboratory at 0. 99C. Its lifetime according to laboratory clocks would be?

Answers

The lifetime of meson according to laboratory clocks would be 14 μs.

In this question,

Meson decay, Δt = 2μs

Velocity, y = 0.99C, where C is the speed of the light

Time measurement depends on the reference frame of clock.

Time dilation, Δt' = y Δt

⇒  [tex]\frac{\Delta t }{\sqrt{1-\frac{v^{2} }{c^{2} } } }[/tex]

⇒ [tex]\frac{2(10^{-6} ) }{\sqrt{1-\frac{(0.99c)^{2} }{c^{2} } } }[/tex]

⇒ [tex]\frac{2(10^{-6} ) }{\sqrt{1-0.99^{2} } } }[/tex]

[tex]\frac{2(10^{-6} ) }{\sqrt{1-0.9801 } } }[/tex]

⇒ [tex]\frac{2(10^{-6} ) }{\sqrt{0.0199} } }[/tex]

⇒ [tex]\frac{2(10^{-6} ) }{0.1410} } }[/tex]

⇒ 14.18 × 10⁻⁶ ≈ 14 μs

Hence we can conclude that the lifetime of meson according to laboratory clocks would be 14 μs.

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Find the next two terms in the sequence. Can you please also tell me how you got the answer?


2, 9, 28, 65

Answers

2 I think is that I’m not sure

[tex]\begin{array}{cccccccccccc} &&&&&&&&&\downarrow &&\downarrow \\ value&\stackrel{1^3+1}{2}&&\stackrel{2^3+1}{9}&&\stackrel{3^3+1}{28}&&\stackrel{4^3 + 1}{65}&&\stackrel{5^3 + 1}{126}&&\stackrel{6^3 + 1}{217} \\\cline{1-12} term&1&&2&&3&&4&&5&&6 \end{array}[/tex]

Please please please help

In a lottery, the probability of the jackpot being won in any draw is

a What is the probability that the jackpot prize will be won in each of four consecutive draws? 1/60^4

b How many consecutive draws need to be made for there to be a greater than 98% chance that at least
one jackpot prize will have been won?

Answers

The probability that the jackpot prize will be won in each of four consecutive draws is (1/60)⁴.

The number of consecutive draws needed will be, n = 233

What is probability?

Probability is the likelihood or chance of an event happening or not.

Probability = number of expected outcomes/number of possible outcomes.

From the given question, the probability of the jackpot being won in any draw is 1/60.

The probability that the jackpot prize will be won in each of four consecutive draws will be:

1/60 * 1/60 * 1/60 * 1/60 = (1/60)⁴

b. The number of consecutive draws that needs to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won is calculated as follows:

There is a 100% - 98% chance that that none has been won = 2% that none has been won.

Also, the probability of the jackpot not being won in a draw is = 1 1/60 = 59/60

The number of consecutive draws needed will be (59/60)ⁿ ≤ 0.02

Solving for n by taking logarithms of both sides:

n = 233

In conclusion, probability measures chances of an event occurring or not.

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What is the circumference of a circle (to the nearest whole number) whose diameter is 12?

Answers

Step-by-step explanation:

Circumference = πd

= π × 12

= 37.6991

=38

Answer:38

Step-by-step explanation:

What is the slope?
What is the slope?
What is the slope?
What is the slope?
What is the slope?

Answers

Answer:

okay it's name is Muhammad Deco alfansia ( ◜‿◝ )

Answer:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting.

Step-by-step explanation: Hope this helps you!

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