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## A computer technician charges \$32.50 per hour plus a \$75.00 service charge. Your father's firm hires him to hook up his company's internet access . The technician spends h hours to complete the job? How much is his total bill?

A computer technician charges \$32.50 per hour plus a \$75.00 service charge. Your father’s firm hires him to hook up his company’s internet access . The technician spends h hours to complete the job? How much is his total bill?

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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 .

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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## Borrowed money of any kind usually involves interest charges.

Borrowed money of any kind usually involves interest charges.

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## Jason Charges \$20 flat rate consulation fee plus \$15 per hour for yardwork. He makes \$170 on a job. How many hours did Jason work ?

Jason Charges \$20 flat rate consulation fee plus \$15 per hour for yardwork. He makes \$170 on a job. How many hours did Jason work ?

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## Lisa wants to buy a phone card for \$5. Company X charges \$0.37 for the first minute and \$0.08 for each additional minute. Company Y charges \$0.52 for the first minute and \$0.14 for each additional minute. If Lisa makes just one call, which phone company gives her more minutes for \$5? How many more minutes? a. Company Y; about 29 minutes c. Company X; about 26 minutes b. Company X; about 29 minutes d. Company Y; about 26 minutes

Option b

Step-by-step explanation:

Given that Lisa wants to buy a phone card for \$5.

Company X charges \$0.37 for the first minute and \$0.08 for each additional minute.

ie. for t minutes charges are

Company Y charges \$0.52 for the first minute and \$0.14 for each additional minute.

for t minutes company Y charges

If 5 dollar is spent, then for company A

t = minutes

For company B, for same 5 dollars,

t =

Company x gives about 26 minutes more

Option b

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## The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges \$4004 to rent trucks plus an additional fee of \$50.50 for each ton of sugar. The second company does not charge to rent trucks but charges \$300.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? tons What is the cost when the two companies charge the same? \$

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges \$4004 to rent trucks plus an additional fee of \$50.50 for each ton of sugar. The second company does not charge to rent trucks but charges \$300.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? tons What is the cost when the two companies charge the same? \$

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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.

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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## Austin is comparing the prices of two truck rental companies. Company a charges \$4 per hour and an additional \$70 as service charges. Company b charges \$5 per hour and an additional \$60 as service charges. Part a: write and equation to represent each conpanys total charges for renting a truck for a certain number of hours. For both equations( one for company a and one for company b ), define the variable used. Part b: which company would charge less for renting a truck for 6 hours? Justify your answer. Part c: how much money is saved by using the services of company b instead of company a to rent a truck for 7 hours?

Company a: 70 plus 4 times (how many hours)
company b: 60\$ plus 5 times (how many hours)
PART A 70+four(x)  B 60+5x
THE VARIABLE REPRESENTS THE HOURS THE TRUCK WAS RENTED
PART B company a charges 9four dollars to rent the truck
company b charges 90 dollars to rent the truck
PART C: you would have to solve the equation like this to find PART C
A: 70+four(7)=98 B: 60+5(7)=95
so the answer for part c would be he saved 3 dollars
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## For Jane's Uber business, she charges \$5 initial fee and \$0.10 a mile. Joe's Uber business charges \$4 initial fee and \$0.20 per mile. 1. Write a function for jane's Uber buisiness 2. write a function for joe's Uber business

For Jane’s Uber business, she charges \$5 initial fee and \$0.10 a mile. Joe’s Uber business charges \$4 initial fee and \$0.20 per mile. 1. Write a function for jane’s Uber buisiness 2. write a function for joe’s Uber business

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## Select the statement that best describes how the forces relate.A. The object on which they are acting and the distance to that object determines the amount of force.B. nuclear and magnetic forces are different because magnetic forces are associated with unmoving charges, and weak nuclear forces are associated with moving charges.C. All forces are related to the mass of the object on which they are acting.The larger the mass, the weaker the forces become. D. Magnetic and electrical forces are similar because they are both related to the interactions between charged particles.

The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies.

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface.

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h.

So the time for the pencil and eraser to touch is T=1.3449 hours.

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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## You owe \$10,000 on a car loan. The bank charges a compound interest rate of 9.5% per year. If you don’t make any payments on the loan, how much will you owe after 3 years? Round your answer to the nearest whole cent.

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## A hotel chain charges \$75 each night for the first two nights and \$50 for each additional night’s stay. the total cost t is a function of the number of nights x that a guest stays.

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## PLEASE HELPMabel is comparing the prices of two car rental companies. Company A charges \$35 per day and an additional \$15 as service charges. Company B charges \$42 per day and an additional \$10 as service charges. Part A: Write an equation to represent each company’s total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days? (3 points)

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## A video store charges a monthly membership fee of \$7.50,but the charge to rent each movie is only \$1.00 per movie. Another store has no member fee, but it costs \$2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?

A video store charges a monthly membership fee of \$7.50,but the charge to rent each movie is only \$1.00 per movie. Another store has no member fee, but it costs \$2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?

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## Tom’s Ten Rental charges a flat rate of \$100 per day plus \$10 for each hour the tent is used. If the number of hours is represented by “h,” which algebraic expression represents the overall rate for the day using “h”?

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.

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## Two charges separated by a distance of 1 meter exert a 2-n force on each other. if the magnitude of each charge is doubled, the force on each charge is

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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## Write the ions present in a solution of k3po4. express your answers as chemical formulas separated by a comma. offset subscripts and charges on each ion.

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## Allstocks.com, a web seller that buys furniture, clothing, electronics, and more from a variety of producers at less-than-regular wholesale prices and then charges customers less than retail, is a(n) ________.

The Contribution Margin per unit (CM) can be calculated
from the difference of Selling Price per unit (SP) and Total Expenses per unit
(TE).

First, let’s calculate the value of SP:

SP = Sales / Units sold

SP = \$1,043,400 / 22,200 units sold

SP = \$47

Second, calculate all expenses:

Direct materials per unit = \$234,948 / 27,970 units
manufactured = \$8.4

Direct labor per unit = \$131,459 / 27,970 units
manufactured = \$4.7

Variable manufacturing overhead per unit = \$240,542 / 27,970
units manufactured = \$8.6

Variable selling expenses per unit = \$113,220 / 22,200
units sold = \$5.1

TE = \$26.8

Therefore the CM is:

CM = SP – TE

CM = \$47 – \$26.8

CM = \$20.2 per unit

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## An amusement park charges \$9.00 for admission \$4.00 per ride. Write an equation that gives the cost in dollars as a function of number of rides

An amusement park charges \$9.00 for admission \$4.00 per ride. Write an equation that gives the cost in dollars as a function of number of rides

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## An amusement park charges \$9.00 for admission \$4.00 per ride. Write an equation that gives the cost in dollars as a function of number of rides

An amusement park charges \$9.00 for admission \$4.00 per ride. Write an equation that gives the cost in dollars as a function of number of rides

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## At a busy intersection in atlanta, there are four competing gas stations. each of the stations charges about the same for each gallon of gasoline. the pricing objectives of these firms is

Depreciation=(equipment cost-salvage value)/useful life

Depreciation=(16,950−4,200)÷6
=2,125 per year

Book value after 3 years
=16,950−2,125×3
=10,575

Now find the amount of depreciation to be charged against the equipment during each of the remaining years of its useful life
Depreciation=(equipment cost-salvage value)/useful life

Depreciation=(10,575−1,695)÷3
=2,960

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## The cleaning crew cleans 100 homes per week and earns a weekly economic profit of \$200. the cleaning crew charges \$80 per home. what is the cleaning crew's total cost per week?

The cleaning crew cleans 100 homes per week and earns a weekly economic profit of \$200. the cleaning crew charges \$80 per home. what is the cleaning crew’s total cost per week?

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## The depreciation method that charges more expense in earlier years than in later years is the __________ A. straight-line method B. double declining-balance method C. units-of-production method D. all of the above

The answer would be: “Mere exposure effect”.

Explanation: The mere exposure effect is when an individual feels more preference for something that is familiar for them (They have been exposed to that before) than to a completely strange thing (something they haven’t been exposed to).

This is what happened to Jocelyn, she couldn’t stand her co-worker at first because it was the first time they saw and had to be around each other, but then, after some amount of time being exposed to one another, Jocelyn finally got over the topic and got used to her co-worker.

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## The jurassic zoo charges \$9 for each adult admission and \$2 for each child the total bill for the 85 people was \$345. How many adults and children went to the zoo?

The jurassic zoo charges \$9 for each adult admission and \$2 for each child the total bill for the 85 people was \$345. How many adults and children went to the zoo?

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## Isabels competition who sells books and no other products charges a shipping fee of \$1.99 per book plus a fixed fee of \$3 for each order. Let x be the number of books purchased and f (x) be the price of shipping one order of books. Write a function that expresses f (x) and explain and explain the value of f (x) for x=0

3 hours.

Step-by-step explanation:

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

Let us have a common denominator.

Upon cross multiplying our equation we will get,

Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.