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Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When the number of hours (h) that Julie spends tutoring a student is greater than 7 (h > 7), the equation that gives the amount (A) that Julie earns in dollars is . If Julie earns $410 tutoring one student, the total number of hours she spent tutoring the student is .

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# Tag: dollars

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The formula is

A=p (1+r)^t

A=2,000×(1+0.06)^(4)

A=2,524.95 ( future value )

Interest earned=A-p

Interest earned=2524.95-2000

Interest earned=524.95

Plan B

Use the simple interest formula

I=prt

I interest earned?

P principle 2000

R interest rate 0.13

T time 4years

I=2,000×0.13×4

I=1,040

The Answer is

Plan B; $1,040

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Ella mows lawns in her neighborhood during the summer. if she gets paid $15 dollars per lawn, how many lawns does she have to mow to earn her goal amount of $900

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Kira is a software saleswoman. Her base salary is $1600 , and she makes an additional $80 for every copy of History is Fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N . Then use this equation to find her total pay if she sells 28 copies of History is Fun. Equation: Total pay if Kira sells 28 copies: $

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we know it takes 31 workers to do a car, and 19 to do a motorcycle… so hmmm to make “c” cars, it will then take 31*c workers, or 31c

to make “m” motorcycles, it will then take 19*c or 19c employees

whatever those amounts of workers needed to make both, must be an amount that is 706 or less, thus

31c + 19m ⩽ 706

now…. it takes $7500 to make a car and thus to make “c” cars it will then take 7500* c or 7500c

it takes $4300 for a motorbike, thus to make “m” motorbikes, it will then take 4300*m, or 4300m

whatever those dollar amounts are, must be 84000 or more, since Genghis Motors wants to spend that OR more

7500c + 4300m > 84000

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Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. Unfortunately, Mark’s argument lacks proof that he deserves a raise. In fact, Mark is often late and rarely completes his work on time. But Mark still really needs a raise. Mark just learned that his boss loves the Boston Red Sox and hates the New York Yankees. How can Mark use this knowledge and alter his argument to convince his boss to give him a raise?

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Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. If Mark wants to try again and convince his boss that he deserves a raise, how should he change his argument?

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**Explanation:**

One logical fallacy that Mark makes to hi boss is that He has two children at home and one of the children is suffering from serious medical conditions where Mark has to spend more money on his treatment. This is one wrong move in support of his argument to raise his salary.

Moreover Mark arguments to provide a raise is not persuasive because his explanation does not have any logical reason as to why he deserves a raise. Merely because his colleagues, Rachel and Soledad earns more than Mark does not imply that Mark should also be paid equal or given a raise.

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Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. What are the logical fallacies in Mark’s argument? A. appeal to common opinion and appeal to emotion B. appeal to emotion and false dilemma C. appeal to pity and personal attack D. personal attack and false dilemma

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### Answered by answersmine AT 22/10/2019 – 03:50 AM

S=60w+ 350. Because you get $60 times the amount of weeks,plus the first $350 she started with. She ends up with $1070 dollars because $60 x 12= 720, then you add the first $350 and get $1070. Hope this helped.

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c(x)=ax²+bx+c

sub the points given

when x=2, c(x)=27

27=a(2)²+b(2)+c or

27=4a+2b+c

when x=4, c(x)=105

105=a(4)²+b(4)+c

105=16a+4b+c

when x=10, c(x)=675

675=a(10)²+b(10)+c

675=100a+10b+c

so we gots

27=4a+2b+c

105=16a+4b+c

675=100a+10b+c

eliminate c’s from everybody

multiply first equation by -1 and add to 2nd and 3rd equation

the resulting 2nd and 3rd equations are shown below

78=12a+2b

648=96a+8b

multiply top equation by -4 and add to bottom

-312=-48a-8b

648=96a+8b +

336=48a+0b

336=48a

divide both sides by 48

7=a

sub back

78=12a+2b

78=12(7)+2b

78=84+2b

-6=2b

-3=b

sub back

27=4a+2b+c

27=4(7)+2(-3)+c

27=28-6+c

27=22+c

5=c

c(x)=7x²-3x+5 is da equation

to produce 5 we do

c(5)=7(5)²-3(5)+5

c(5)=7(25)-15+5

c(5)=175-10

c(5)=165

costs $165 to make 5 camera cases

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Sharita does special typing jobs for scientists. She charges $16 for the first three pages and three dollars for each additional page of scientific typing.Sonia, a biologist paid 106 dollars to have a research paper typed. How many pages long was Sonia’s paper.

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Swanson company has two divisions; sporting goods and sports gear. the sales mix is 65% for sporting goods and 35% for sports gear. swanson incurs $6,660,000 in fixed costs. the contribution margin ratio for sporting goods is 30%, while for sports gear it is 50%. the break-even point in dollars is

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if we complete the square

to get y=a(x-h)^2+k form wher (h,k) Is vertex

D=-4(p²-40p)-270

D=-4(p²-40p+400-400)-270

D=-4((p-20)²-400)-270

D=-4(p-20)²+1600-270

D=-4(p-20)²+1330

vertex is (20,1330)

that is at p=20 and D=1330

A. at the price of 20 units

b. can sell 1330 drills

or you can use the calc way

take deritivive to find where the slope equals 0

D'(x)=-8x+160

0=-8x+160

8x=160

x=20

we know this is the max because D'(15) is positive and D'(25) is negative so therefor at x=20, that is the max

to find the max number of drills, we do

D(20)=-4(20)²+160(20)-270

D(20)=1330

a. 20

b. 1330

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(60*4.5=270)

20 meatball pizzas were sold at 8 each…

(20*8=160)

25 sicilian pizzas at 9 each…

(25*9=225)

33 large crust supremes at 10 each…

(33*10=330)

add up all the prices to find the total dollars sales for pizza hut…

330+225+160+270= (total of dollars)

and your total is…

985$ was the total dollars sale for pizza hut

hoped i helped out c;

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1) show of power: As one makes new technology, they would either want to test it out or show the other nations that what they produce is ground-breaking and the best. Usually if it is military technology, you would want to test it out, and with the use of “show of force”, can have people groups submit to your country.

2) Better technology: As technology advances, it usually makes something easier. In the case of imperialism, better military advances meant that they could (once again) have other people submit to you

3) Better transportation: This meant that you could take multiple countries at once, and can prove that you’re country is great by having supplies shipped over long distances to keep your troops up. If in need of more troops, you could send more.

hope this helps

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You buy 2 boxes of doughnuts for 3.99 each 3 boxes for 4.49 each and 1 box chocolate for 4.99 you pay the cashier 50 dollars how much change you get back

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Colleen plans to start a small business by making and selling skirts. A sewing machine costs $250, and she estimates that she will spend $15 on materials for each skirt. Which expression represents Colleen’s total costs, in dollars, for making x skirts?

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**Answer:**

Americans will pay more for goods produced in Mexico in 2011.

**Explanation:**

This is a situation of devaluation of the dollar in relation to the Mexican peso. If in 2009 the dollar was worth 16 pesos, but in 2011 it is 14, it means that the purchasing power of the dollar in relation to the Mexican peso has decreased, although it is still high.

In that case, for an American to buy products produced in Mexico in 2011, he or she will spend a little more dollars than he or she would spend in 2009. This is common, since the currencies fluctuate according to the financial market . Thus, the dollar can be valued or devalued, as happened in this example.

If, for example, in 2015 the dollar will buy 20 pesos, it will mean that the dollar appreciated in relation to the peso, increasing the purchasing power of Americans for Mexican products.

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**Answer:**

**Number of copy machines must be made to minimize the unit cost=160.**

**Step-by-step explanation:**

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

We have to find the number of copy machines for minimize the unit cost

Differentiate with respect to x

Then we get

……(equation I)

To find the value of x then we susbtitute is equal to zero

By using division property of equality

Again differentiate the equation I with respect to x then we get

Hence, the unit cost is minimize for x=160

**Therefore, the number of copy machines must be made to minimize the unit cost =160**

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The statement is equivalent to

120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:

n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.

You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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The following equation of parabola is given:

p(x)= – 5 x^2 + 240 x – 2475

where p(x) = y

This is a standard form of the parabola. We need to

convert this into vertex form of equation. The equation must be in the form:

y – k = a (x – h)^2

Where h and k are the vertex of the parabola. Therefore,

y = – 5 x^2 + 240 x – 2475

y = -5 (x^2 – 48 x + 495)

Completing the square:

y = -5 (x^2 – 48 x + 495 + _) – (-5)* _

Where the value in the blank _ is = -b/2

Since b = -48 therefore,

y = -5 (x^2 – 48 x + 495 + 81) + 405

y – 405 = -5 (x^2 – 48 x + 576)

y – 405 = -5 (x – 24)^2

Therefore the vertex is at points (24, 405).

**The company should make 24 tables per day to attain maximum
profit.**

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The following equation of parabola is given:

p(x)= – 5 x^2 + 240 x – 2475

where p(x) = y

This is a standard form of the parabola. We need to

convert this into vertex form of equation. The equation must be in the form:

y – k = a (x – h)^2

Where h and k are the vertex of the parabola. Therefore,

y = – 5 x^2 + 240 x – 2475

y = -5 (x^2 – 48 x + 495)

Completing the square:

y = -5 (x^2 – 48 x + 495 + _) – (-5)* _

Where the value in the blank _ is = -b/2

Since b = -48 therefore,

y = -5 (x^2 – 48 x + 495 + 81) + 405

y – 405 = -5 (x^2 – 48 x + 576)

y – 405 = -5 (x – 24)^2

Therefore the vertex is at points (24, 405).

**The company should make 24 tables per day to attain maximum
profit.**

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**Answer:**

Americans will pay more for goods produced in Mexico in 2011.

**Explanation:**

This is a situation of devaluation of the dollar in relation to the Mexican peso. If in 2009 the dollar was worth 16 pesos, but in 2011 it is 14, it means that the purchasing power of the dollar in relation to the Mexican peso has decreased, although it is still high.

In that case, for an American to buy products produced in Mexico in 2011, he or she will spend a little more dollars than he or she would spend in 2009. This is common, since the currencies fluctuate according to the financial market . Thus, the dollar can be valued or devalued, as happened in this example.

If, for example, in 2015 the dollar will buy 20 pesos, it will mean that the dollar appreciated in relation to the peso, increasing the purchasing power of Americans for Mexican products.

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An ice cream stand uses the expression 2 + 0.5×2+0.5×2, plus, 0, point, 5, x to determine the cost (in dollars) of an ice cream cone that has xxx scoops of ice cream. How much does an ice cream cone with 555 scoops cost?

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