Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 per job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this. 30 + 15 x greater-than-or-equal-to 90 which best describes the restrictions on the jobs deepak will accept?.

Answers

Answer 1

Deepak will work for at-least 4 hours in each job

Linear Inequality in one variable:

                                       A linear inequality in one variable that can be written either in the form of,

a+bx<0

a+bx≤0

a+bx>0

a+bx≥0  

             where,

                   where a and b are real numbers and a≠0 a ≠ 0

For the given question,

          Deepak charges $30 for each job he does plus an additional $15 for each hour he works.

He only accepts jobs if he will earn at least $90 per job.

If,

     x is number of hours Deepak works in each job then,

      required inequality can be written as,

             30 + 15x  [tex]\geq[/tex] 90

                 15x ≥ 90 - 30

                  15x ≥ 60

                    x ≥ 60/15

                    x ≥ 4

thus,

      we conclude that Deepak will work for at-least 4 hours in each job.

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Related Questions

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

Answers

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

How to compare graph rates?

From the attached graph of the printing rate of Printer A, we can see that;

At 1 minute, number of pages printed = 15

At 2 minutes, number of pages printed = 30 minutes

At 3 minutes, number of pages printed = 45

Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes

Since printer B can print 25 pages per minute, we can conclude that;

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

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Complete question is;

The graph shows the printing rate of printer A. Printer B can print at the rate of 25 pages per minute. How does the printing rate of printer B compare to the printing rate for printer A.

I need assistance of Geometry, please help. (Transformation, Triangles, and Quadrilaterals.)

Answers

Answer: oh ok

Step-by-step explanation:

well  you know just ask your mom

I don’t know the answer

Find the Error A student found the slope of one segment on a line to be 4 and the slope of another segment on the same line to be 8/2. He concludes that the slope is different at different points on the line. Correct his thinking

Answers

If we simplify the fraction we will see that the slope is equal in the two segments of the line.

How to correct the student?

A linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept, both of these are constants.

In this case the student found the slope on one part to be 4, and on other part to be 8/2.

But if you solve that second quotient:

8/2 = 4

The slope is still 4, so in both segments the slope is the same, which means that the slope is equal at different parts of the line.

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Match the numbers with the correct label.

Answers

A = 1/7 B = .2 c = 3/9

Answer:

a = [tex]\frac{1}{7}[/tex]

b = .2

c= [tex]\frac{3}{9}[/tex]

Step-by-step explanation:

You could change all of the numbers to decimals and then order

[tex]\frac{1}{7}[/tex] ≈ .1428

.2 =.2

[tex]\frac{3}{9}[/tex] ≈ .3

40 sayısının çarpanlarından
A) 1
B) 2
kaç tanesi tek sayıdır?
C) 3
D) 4

Answers

Answer:

1. Factors of 40: 1, 2, 4, 5, 8, 10, 20 and 40

1. 40 sayısının çarpanlarından: 1, 2, 4, 5, 8, 10, 20 and 40

Step-by-step explanation:

kaç tanesi tek sayıdır: 2

How many are odd numbers: 2

yanılıyor olabilirim eğer bir hata yaparsam lütfen söyleyin

I might be wrong so if I make any mistakes please tell me

3 miles in 45mins what’s the mph

Answers

Answer: 4mph

Step-by-step explanation: convert 45 minutes into hours: 45min*1hr/60min = 0.75hr 3miles/.75 hr = 4mlies/1hr = 4mph

Type the correct answer in each box. Use numerals instead of words.
The table below shows the cost for certain number of truck loads of fruit. Fill in the missing costs.



Truck
Load Cost ($)
1 2,530
2
3 7,590
8


Based on the pattern in the table, 11 truck loads of fruit would cost $
.

Answers

Based on the pattern in the table (see attachment), 11 truck loads of fruit would cost $27,830.

What is a direct proportion?

Mathematically, a direct proportion or direct variation can be represented the following mathematical expression:

y = kx

Where:

y represents the truck load.x represents the cost in dollars.k represents the constant of proportionality.

By applying direct proportion, we have the following mathematical expressions:

1 truck load of fruit = 2,530 dollars.

11 truck load of fruit = X dollars.

Cross-multiplying, we have the following:

Cost, X dollars = 11 truck load of fruit × 2,530 dollars.

Cost, X dollars = 27,830 dollars.

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PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer is (A) 1

Step by step

You can look at the graph and see the rise over run from one point on the graph to another point on the graph = 1

Remember rate or slope is y/x or rise over run

What is the measure of y?
4
16
X
y = [?]
4
y
N

Answers

The measure of y = 8

Define Pythagorean theorem

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Let, sides will be A, B, C and D

So, we have given that

AD = 16

DB = 4

DC = y

We know,

DC² = AD * DB

Now, plug in the values

y² = 4 * 16

y² = 64

y = 8

Hence the measure of y = 8

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Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of Sprite to make 12 cups. He pays $3.00 for a 2-liter container of Sprite and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.

Answers

The $3.00 for 2 liters of Sprite and $16 for 1 gallon of raspberry sorbet indicates that the minimum amount Rafael should sell a cup of punch.

The minimum price at which Rafael should sell a cup of punch to make a profit of $10 is approximately $2.42

What is a profit?

A profit is a financial gain from the revenue that exceeds the sum of expenses and the taxes.

The ingredients required to make 12 cups of punch are;

1 gallon of raspberry and 2 liters of Sprite

Amount he pays for 2-liter of Sprite = $3.00

Amount paid for a quart of sorbet = $4.00

The minimum amount to be charged so as to make a $10 profit is found as follows;

4 quarts is equivalent to one gallon

Therefore;

1 quart of sorbet costs $4

4 quart of sorbet = 1 gallon of sorbet costs 4 × $4 = $16

The cost of 2-liters of Sprite = $3.00

The cost of 12 cups of punch is therefore;

$3 + $16 = $19

The revenue when a profit of $10 is made is therefore;

Revenue = $19 + $10 = $29

The selling price per cup, p, is therefore;

p = $29 ÷ 12  $2.42

The price per cup to make a profit of $10 is approximately $2.42≈

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The points (5, 4), (3, 2), and (-1, -2) all lie on the same line. Which is another
point that lies on the same line?
(-4,-5)
(7,5)
(-3, -3)
(0, 1)

Answers

Another point that lies on the same line is (-4,-5).

Given:

The points (5, 4), (3, 2), and (-1, -2) all lie on the same line.

if lines are on the same line there slopes are equal:

(5,4) and (3,2)

slope m = 2-4 / 3-5

= -2/-2

= 2/2

m = 1

The point that lies on the same line must have slope m = 1 with any given point.

suppose (5,4) and (-4,-5)

slope m = -5-4 / -4-5

= -9/-9

= 9/9

= 1.

Hence (-4,-5) is another point on the same line.

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Which of the following is the correct formula for the margin of error in the interval estimation of p?

Multiple Choice

zα / 2p (  1 −  p )n− 1−−−−−−√z⁢α⁢ / 2p⁢ (  1⁢ −  p⁢ )n⁢− 1

zα / 2p¯ (  1 −  p¯ )n −  1 −−−−−−−√z⁢α⁢ / 2p¯⁢ (  1⁢ −  p¯⁢ )n⁢ −  1⁢ 

zα / 2p (  1 −  p )n−−−−−−√z⁢α⁢ / 2p⁢ (  1⁢ −  p⁢ )n

zα / 2p¯ (  1 −  p¯ )n−−−−−−−√

Answers

The correct formula for the margin of error in the interval estimation of p is Za/2 √p(1-p)/n.

Interval estimation:

Interval estimation refers the evaluation of a parameter—for example, the mean (average)—of a population by computing an interval, or range of values, within which the parameter is most likely to be located.

Given,

Here we need to find the correct formula for the margin of error in the interval estimation of p.

In order to find the correct formula for the margin of error, we have to know the definition of the margin of error,

Margin of error states that "a statistical measurement that accounts for the difference between actual and projected results in a random survey sample."

According to this definition, we have identified that the correct formula, for the margin of error in the interval estimation P is written as,

=> Za/2 √p(1-p)/n.

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What number can be subtracted from
974,798 to make 291,256?

Answers

I think number that could be subtracted from 974,798 to make 291,256

is 683,542

Answer:

Step-by-step explanation:

answer: 683542

974798-683542= 291256

974798-291256=683542

The equation of line line a gis y = (startfraction b over a c endfraction)x. the midpoint of bc is (a c, b). does the midpoint of bc lie on line a g? why or why not? no, because (startfraction b over a c endfraction)b does not equal a c no, because (startfraction b over a c endfraction)(a c) does not equal b yes, because (startfraction b over a c endfraction)b = a c yes, because (startfraction b over a c endfraction)(a c) = b

Answers

yes, because the midpoints (a+c) = b

Given that the line's equation is y=x.

B and C are the two points on this line.

( a+ c, b) is the midpoint of B and C.

We can see from this that using the midpoint formula

a + c = [tex]\frac{x1+x2}{2}[/tex]

b=[tex]\frac{y1+y2}{2}[/tex]

Because both points are on y=x, we get

x1=y1, x2=y2.

As a result, x1 = a+c and 2y1 = 2b or y1 =b.

Because x1=y1, we have a+c =b.

In other words, the coordinates of the midpoint satisfy the equation y=x.

Thus, the answer is

because (a+c) = b

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The test statistic of z = 1.49 is obtained when testing the claim that p > 0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H0 or should we fail to reject H0?

Answers

By using right tailed test the following results are obtained

a) The test is a right tailed test

b) P value = 0.0681

c) We fail to reject the null hypothesis

What is right tailed test?

Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.

a) Since p > 0.8, right tailed test is used

b) The corrosponding z is z = 1.49

P value = p(z > 1.49)

            = 1 - p(z [tex]\leq[/tex] 1.49)

            = 1 - 0.9319

            = 0.0681

c) 0.0681 is greater than a = 0.05

So we fail to reject the null hypothesis [tex]H_0[/tex]

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Determine the value of x in the equation.

Four fifths times the quantity x plus 9 end quantity minus one fifth times x equals three fifths times the quantity x plus 12 end quantity.

A). No solution
B). Infinite solutions
C). x = 3
D). x = 1

Answers

Answer:

B) Infinite solutions

Step-by-step explanation:

[tex] \frac{4}{5} (x + 9) - \frac{1}{5} x = \frac{3}{5} (x + 12)[/tex]

[tex] \frac{4}{5} x + \frac{36}{5} - \frac{1}{5} x = \frac{3}{5} x + \frac{36}{5} [/tex]

[tex] \frac{3}{5} x = \frac{3}{5} x[/tex]

We have infinite solutions.

HELP SOLVE FOR 24 points

Answers

Answer:

Slope = -1/6

Step-by-step explanation:

Answer:

the correct one is Slope = -1/6

mrs Stuart borrowed $4,000 from Commonwealth Bank for some furniture her loan is for 2 years at an interest rate of 7%, how much interest will she pay ​

Answers

Answer:

560

The formula for interest is I=prt

so 4000×7/100×2=560

What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7

Answers

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

What is a quadratic equation?

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
a. Complete the table to model the situation.

Answers

The given table is completed.

Given,

Finance Desiree starts a savings account with $125.00. Every month, she

deposits $53.50.

we are asked to complete the table to model the situation.

Month is represented by x.

Amount in savings, be y.

hence we frame:

x = 0, y = $125

x = 1, y = $(125+53.5) = $178.50

x = 2, y = $(178.50+53.5) = $232

x = 3, y = $(232+53.5) = $285.50

x = 4, y = $(285.50+53.5) = $339

hence we complete the table for 5 months,

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What is the answer to the equation:
2x+10=3x-5

Answers

Answer:

x=15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

See image below

Question Help v Error Analysis On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?

Answers

The coefficients of the algebraic expression are 6, 1.

The constant of the algebraic expression is 9.

The error Jake might have made is that: D. Jake did not include the coefficient 1.

What is an algebraic expression?

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.

What is a coefficient?

In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.

Based on the information provided about this algebraic expression, we can reasonably infer and logically deduce that there are only two (2) coefficients and one constant, and these include the following:

6 as the coefficient of b.1 as the coefficient of y.9 is a constant.

This ultimately implies that, an error which was made by is the exclusion of the coefficient 1 for y.

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Complete Question:

On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is/are __

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __

(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 9 is a coefficient. It is actually a constant.

OB. Jake said 6 is a constant. It is actually a coefficient.

OC. Jake did not include the constant 1.

OD. Jake did not include the coefficient 1.

Which expressions are equivalent to g16? Check all that apply.

Answers

Answer:

I think you mean 6^16

if so, the right answers are

the 3rd one (6^-4)^-4

the 4th one (6^-2)^-8

last answer (6^8)^2

Step-by-step explanation:

you have to apply the Powers of a Powers Property:

(a^n)^m=a^(nm), basically you're multiplying the exponents (the powers)

Hope this helps.

The number y of perfume bottles in storage after x months is represented by the equation y=-20x+460 . Graph the equation.

Answers

The graph of the linear equation can be seen in the image at the end.

How to graph the linear equation?

Here we have the following linear equation:

y = -20*x + 460

To graph the line, we need to find two points on the line, then graph these, and graph a line that connects them.

To get the points, we need to evaluate the linear equation in two values of x.

if x = 0

y = -20*0 + 460

y = 460

if x = 10

y = -20*10 + 460

y = -200 + 460

y = 260

So we have the points (0, 460) and (10, 260), then the graph of the line is:

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the funtion 2x+1.5y=18 represents the number of book raffle tickets x and food raffle tickets y. you buy at the club event?

Answers

The solution of the equation 2x + 1.5y = 18 for the variable y is given as follows:

y = (18 - 2x)/1.5.

How to solve the equation for the variable y?

The equation for this problem is presented as follows:

2x + 1.5y = 18.

To solve for the variable y, we have to isolate the variable y.

The first step is passing every term on the left side of the equality that does not contain the variable y to the right side, hence:

1.5y = 18 - 2x. (positive on the left side is negative on the right side).

Then the constant 1.5, which is multiplying on the left side, moves to the right side dividing the expression, hence:

y = (18 - 2x)/1.5.

Missing Information

The problem asks for the solution of the equation 2x + 1.5y = 18 for the variable y.

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Help me asap please!! Ill mark brainliest!! I really need to get this right! ty:))

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

slope form is y=mx+b

m-slope

b- y intercept (when x is 0)

To find slope we use y2-y1/x2-x1

4-3/4-2

1/2 is the slope

Now we know every time X goes up 1 y goes up 1/2 so we subtract back to find y intercept

(1,2.5)

(0,2)

Y intercept is 2

Hopes this helps please mark brainliest

(9x 10^-2 )- (3x 10^-2
a.6 x 10^-4
b.12 x 10^-2
c.6 x 10^0
d.6 x 10^-2

Answers

Answer:

Step-by-step explanation: i'm not one hundred percent sure but i think its B

there are 200 sixth graders and 170 of them want to take geometry and 175 want to take algebra what is the least number of people who want to take both geomtry and algebra

Answers

The least number of people who want to take both geometry and algebra is 145

How to find the least number of people that would like to take geometry and algebra

The inclusion-exclusion principle is a counting method that generalizes the well-known approach to determining the number of members in the union of two

The inclusion - exclusion principle is used here

let the number that will take both algebra and geometry be x

200 = 170 - x + 175 - x + x

200 = 345 - x

x = 354 - 200

x = 145

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The least number of people who want to take both geometry and algebra is 145 graders

What is intersection of set?

The intersection of sets can be denoted using the symbol '∩'. the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.

The number of graders that want to take geometry is 170

The number of graders that want to take algebra is 175

A ∩ G= n(A) + n(G) -( AUB)

=175+170-200

= 345-200

= 145

Therefore the least number of people that will want to do both geometry and algebra is 145

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pleaseeeeeee explain

Answers

The fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that, the ratio of battleships to destroyers in the navy is 10:15.

battleships : destroyers = 10:15

The fraction of the total number of boats is the number of destroyers is,

=15/10+15

=15/25

The ratio of battleships to destroyers in the navy is 10:15. The number of battleships is 0.56 times the number of destroyers.

Thus, the fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

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If F=2x^2−3x−2, then select the correct statement. a. x=-1/2 is the position of stable equilibrium, b. x=2 is the position of stable equilibrium, c. x=-1/2 is the position of stable equilibrium, d. x=2 is the position of neutral equilibrium

Answers

The correct option is A which is x=-1/2 is the position of stable equilibrium.

Given in the question,

F=2x²−3x−2

dx/dF = 4x−3<0

x<3/4 for stable equilibrium

x>3/4 for unstable equilibrium

For stable F=0

2x²−3x−2=0

2x²−4x+x−2=0

2x(x−2)+1(x−2)=0

(2x+1)(x−2)=0

x=−1/2 ,x=+2

In the event that a system in equilibrium is disturbed marginally, in the event that it is steady it will in general re-visitation or waver about its unique equilibrium state. An unsteady system will in general keep on getting away from its unique equilibrium state when moved away by it. Consequently, on account of a stable equilibrium, there is a tendency for the item to return to its old position. In an unstable equilibrium again, the balance is temperamental when a slight unsettling influence inspires further unsettling influence, with the goal that the first position is rarely reestablished.

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Bacteria are prokaryotes while protists and fungi are eukaryotes.Cells are largely classified into two; prokaryotic cells and eukaryotic cells.Prokaryotic cells do not have a nucleus or organelles while a eukaryotic cell has a nucleus and organelles.Because bacteria are prokaryotic cells, bacteria r Leith mullings argues that class cannot be studied in isolation but rather must be considered together with race and gender as interlocking systems of what?. Hi I need help to summarize both of the paragragh x -1 , 3, 7 , 11 and y 3, 6, 10, 15 is the relationship linear, exponential, or neither The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 97% of the people who have a disease. However, it erroneously gives a positive reaction for 5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease". What is the probability of type i error if the new blood test is used?. the nurse is seeing a client with a recent history of exposure to a family member who has influenza. the client reports a throbbing toothache when bending forward. which assessment should the nurse be sure to include in the physical examination? Which of the following functions is graphed below? bond j has a coupon of 7.4 percent. bond k has a coupon of 11.4 percent. both bonds have 12 years to maturity and have a ytm of 7.8 percent. a. if interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? barometric pressure is 14.0 psia. what is the maximum flow rate that can be obtained by opening the valve? (a) if cavitation is not a consideration and (b) if cavitation needs to be prevented? you simultaneously purchase an underlying stock at $100 and buy an at-the-money put (exercise price is $100) on the stock. the option price is $10. what is the breakeven stock price for this strategy with regard to profit at expiration of the put? $90 $95 $100 $105 $110 what are some examples of achieving your educational and career goals with a medical assistant? Drawing Inferences Why might the U.S. Army have had an interest in the Wright brothers invention? What sentence represents this equation?8 3/4=17x How do you find gradient of a linear graph? Make a the subject of p= 3a+5/4-a Large marble chips (calcium carbonate) were reacted with 1M hydrochloric acid at 24 C. The volume of carbon dioxide evolved was measured at regular intervals.a) Describe one other way of measuring the course of this reaction which does not involve measuring the volume of carbon dioxide given off.b) Describe how the following would affect the speed of this reaction, ( In each case, assume that all other factors are kept the same.)i. using 0.05 M hydrochloric acidii. using smaller marble chipsiii. carrying out the reaction at 22 C. 1. There are many reasons why Perseus was a culturally important character to the Greeks. 2. One reason is that he showed traits that were valued. 3. Perseus showed his truthfulness and courteousness when he promised to bring back Medusas head as a gift, his bravery when he faced Medusa, and his gentleness when he fell in love with Andromeda. 4. All of these characteristics were important to ancient Greeks.Where should this quotation be placed to develop the paragraph about Perseus?Perseus is described as brave and truthful, gentle and courteous (Mabie 4).after sentence 1after sentence 2after sentence 3after sentence 4 What issue initially created a source of contention and division for Muslims into Sunni and Shi'a? which term is used to describe a call provision in which the issuer is prevented from calling a portion or the entire issue for several years during the early years of the bond issue? sinking fund provision declining call provision deferred call provision In colonial america people with health disorders were referred to as distracted persons or lunatics and we most often cared for by their families.a. Trueb. False