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Bill bought a new cellular phone. His monthly bill will be $34.99 each month which includes 100 minutes of use. Additional minutes will cost $0.23 per minute. Write an equation that represents the cost of the bill C in terms of m, which is the number of minutes used ABOVE the 100 that are included in the base price. a. C = 34.99(m – 100) + 0.23 c. C = 0.23m b. C = 0.23m + 34.99 d. C = 0.23(m – 100) + 34.99

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Answer:

d. C = 0.23(m – 100) + 34.99

Step-by-step explanation:

Let C = X + Y, where

C = Cost of the bill in terms of m

X = First term of the equation

Y = Second term of the equation

X = add additional minutes to $ 0.23 minus the 100 minutes of use allocated.

X = 0.23 (m – 100)

Y = Base price monthly will be $ 34.99

Y = 34.99

C = X + Y

C = 0.23 (m – 100) + 34.99

Note: The only possible answer is 0.23 (m – 100) + 34.99, but we must assume that “m” is greater than or equal to 100, that is, Bill consumes at least his 100 minutes assigned by the base price.

Hope this helps!

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The property taxes on a house that Alan owns and rents out to have increased. to balance his monthly budget, he decides to increase his talents rent by $10 per month. he will use extra money to pay his property tax. in this scenario, what type of tax do his tenants pay?

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The property taxes on a house that Alan owns and rents out to have increased. to balance his monthly budget, he decides to increase his talents rent by $10 per month. he will use extra money to pay his property tax. in this scenario, what type of tax do his tenants pay?

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A debit card is a line of credit and interest may accrue if the monthly balance is not paid in full.

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A debit card is a line of credit and interest may accrue if the monthly balance is not paid in full.

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My grandfather, who lost his short-term memory sometime during the first Eisenhower Administration, calls me into his study because he wants to tell me the story he’s never told anybody before again. . . . My grandfather slams the door and motions me to the chair in front of his desk. I’ll be thirteen in two weeks. “There’s something I want to tell you, son,” he says. “Something I’ve never told anybody. You think you’re ready? You think you’ve got the gumption?” “I think so.” “Think so?” “I know so, sir. I know I’ve got the gumption.” . . . “It was late,” he says. “Someone knocked on my stateroom door. I leaped up. In those days I slept in uniform—shoes, too.” My grandfather smiles. His face is so perfectly round that his smile looks like a gash in a basketball. I smile back. “Don’t smile,” he says. “Just because I’m smiling, don’t assume I couldn’t kill you right now. Know that about a man.” Source: Orner, Peter. “The Raft.” The Atlantic Online. The Atlantic Monthly Company, Apr. 2000. Web. 10 May 2011. Which point of view does the text use?

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My grandfather, who lost his short-term memory sometime during the first Eisenhower Administration, calls me into his study because he wants to tell me the story he’s never told anybody before again. . . . My grandfather slams the door and motions me to the chair in front of his desk. I’ll be thirteen in two weeks. “There’s something I want to tell you, son,” he says. “Something I’ve never told anybody. You think you’re ready? You think you’ve got the gumption?” “I think so.” “Think so?” “I know so, sir. I know I’ve got the gumption.” . . . “It was late,” he says. “Someone knocked on my stateroom door. I leaped up. In those days I slept in uniform—shoes, too.” My grandfather smiles. His face is so perfectly round that his smile looks like a gash in a basketball. I smile back. “Don’t smile,” he says. “Just because I’m smiling, don’t assume I couldn’t kill you right now. Know that about a man.” Source: Orner, Peter. “The Raft.” The Atlantic Online. The Atlantic Monthly Company, Apr. 2000. Web. 10 May 2011. Which point of view does the text use?

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A company's monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

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A company’s monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

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Ms. smith borrowed $2,000 at an 8% stated rate of interest and was to pay back the loan in 24 monthly payments. what is her effective rate of interest using the installment loan formula?

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Initial investment on Jan 1, 2013 = (500 shares)*($24 per share) = $12,000

Dividend collected at the end of 2013 = $2.50*500 = $1,250
Dividend collected at the end of 2014 = $4*500 = $2,000
Dividend collected at the end of 2015 = $3*500 = $1,500
Mony received from sellng the 500 shares at the end of 2015 = $20*500 = $10,000

Total returns at the end of 2015 = 1,250+2,000+1,500+10,000 = $14,750
Net gains = 14750 – 12000 = $2,750
Duration = 3 years
Realized total rate of return = 2750/12000 = 0.2292 = 22.9%

Answer: 22.9%

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Optimization problem:A manufacturer determines that x employees on a certain production line will produce y units per month where . To obtain the maximum monthly production, how many employees should be assigned to the production line?**It is NOT sufficient to find an answer that you think is a max or a min without testing for relative extrema. You MUST test relative extrema at all times by using either the first or second derivative test even if you only have one critical value/point.

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Cal problem!

given production 
P(x)=75x^2-0.2x^4

To find relative extrema, we need to find P'(x) and solve for P'(x)=0.

P'(x)=150x-0.8x^3    [by the power rule]

Setting P'(x)=0 and solve for extrema.
150x-0.8x^3=0  =>
x(150-0.8x^2)=0 =>
0.8x(187.5-x^2)=0
0.8x(5sqrt(15/2)-x)(5sqrt(15/2)+x)=0
=>
x={0,+5sqrt(15/2), -5sqrt(15/2)}   by the zero product rule.
[note: eqation P'(x)=0 can also be solved by the quadratic formula]

Reject negative root because we cannot hire negative persons.

So possible extrema are x={0,5sqrt(15/2)}

To find out which are relative maxima, we use the second derivative test.  Calculate P”(x), again by the power rule, 
P”(x)=-1.6x
For a relative maximum, P”(x)<0, so
P”(0)=0  which is not <0  [in fact, it is an inflection point]
P”(5sqrt(15/2))=-8sqrt(15/2) < 0, therefore x=5sqrt(15/2) is a relative maximum.

However, 5sqrt(15/2)=13.693 persons, which is impossible, so we hire either 13 or 14, but which one?

Let’s go back to P(x) and find that
P(13)=6962.8
P(14)=7016.8

So we say that assigning 14 employees will give a maximum output.

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Aiden can afford a $280-per-month car payment. If he is being offered a 4-year car loan with an APR of 1.8%, compounded monthly, what is the value of the most expensive car he can afford? A.13,439.51 B.13,390.73 C.12,958.20 D.13,435.06

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Aiden can afford a $280-per-month car payment. If he is being offered a 4-year car loan with an APR of 1.8%, compounded monthly, what is the value of the most expensive car he can afford? A.13,439.51 B.13,390.73 C.12,958.20 D.13,435.06

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Emma is considering buying her first home. The house she is interested in buying is priced at $141,000. Emma qualifies for a 30-year mortgage at 5.15%. What will her monthly mortgage payment be?

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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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Elly,s bank offers car financing for 3, 4, or 5 years. If Elly chooses 4-year finacing, how many monthly payments will she have? A.50 B.48 C.60 D.46

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Elly,s bank offers car financing for 3, 4, or 5 years. If Elly chooses 4-year finacing, how many monthly payments will she have? A.50 B.48 C.60 D.46

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Elly,s bank offers car financing for 3, 4, or 5 years. If Elly chooses 4-year finacing, how many monthly payments will she have? A.50 B.48 C.60 D.46

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Elly,s bank offers car financing for 3, 4, or 5 years. If Elly chooses 4-year finacing, how many monthly payments will she have? A.50 B.48 C.60 D.46

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Riverside bank offers to lend you $50,000 at a nominal rate of 6.5%, compounded monthly. the loan (principal plus interest) must be repaid at the end of the year. midwest bank also offers to lend you the $50,000, but it will charge an annual rate of 6.2%, with no interest due until the end of the year. how much higher or lower is the effective annual rate charged by midwest versus the rate charged by riverside

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Riverside bank offers to lend you $50,000 at a nominal rate of 6.5%, compounded monthly. the loan (principal plus interest) must be repaid at the end of the year. midwest bank also offers to lend you the $50,000, but it will charge an annual rate of 6.2%, with no interest due until the end of the year. how much higher or lower is the effective annual rate charged by midwest versus the rate charged by riverside

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Shelby has an account at a financial institution that will waive the monthly fee if she keeps a certain amount in savings. what kind of account does she have?

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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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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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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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A 20-year, $148,000 mortgage is taken out with a 4.9% APR. If payments are scheduled monthly and there are no additional costs, determine the balance on the account after the first month’s payment has been made.

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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

C(x)=0.8x^2-256x+25939

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

C(x)=0.8x^2-256x+25939

Differentiate with respect to x

Then we get

frac{mathrm{d}C}{mathrm{d}x}=1.6x-256 ……(equation I)

To find the value of x then we susbtitute frac{mathrm{d}C}{mathrm{d}x} is equal to zero

frac{mathrm{d}C}{mathrm{d}x}=0

1.6x-256=0

1.6x=256

x=frac{256}{1.6}

By using division property of equality

x= 160

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

frac{mathrm{d}^2 C}{mathrm{d}^2 x}=1.6 >0

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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A $28,000 car loan is used to purchase a new car. The loan is for 6 years and has a 5.75% APR. Use the amortization formula to determine the amount of the monthly payments.

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A $28,000 car loan is used to purchase a new car. The loan is for 6 years and has a 5.75% APR. Use the amortization formula to determine the amount of the monthly payments.

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For her phone service, Kala pays a monthly fee of $13 , and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $63.15 . What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m .

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For her phone service, Kala pays a monthly fee of $13 , and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $63.15 . What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m .

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Create a linear equation to represent the monthly bill. When will the plans cost the same? Explain which plan is a better option. Plan A $25.75 plus $.75 per min Plan B $20.99 plus 1.00 per min

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Create a linear equation to represent the monthly bill. When will the plans cost the same? Explain which plan is a better option. Plan A $25.75 plus $.75 per min Plan B $20.99 plus 1.00 per min

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Mike is considering investing $18,500 in an investment that will have a maturity value of $32,500 in 8 years. if the interest is compounded monthly, what is the annual rate of return earned on the investment?

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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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Charlie cannot remember how much he financed to buy his car. He does remember that his monthly payment is $200. His add-on interest rate was 9% and he made a total of 30 payments. Find the amount of his loan to the nearest penny.

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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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How should students pay for monthly expenses? A. By credit card B. By debit card C. By taking out cash-advance loans D. By taking money out of their savings

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How should students pay for monthly expenses? A. By credit card B. By debit card C. By taking out cash-advance loans D. By taking money out of their savings

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Noel bought a new dishwasher for $320 he paid $20 down-and made 10 monthly payments of 34.00. What actual yearly interest rate did Noel?

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Noel bought a new dishwasher for $320 he paid $20 down-and made 10 monthly payments of 34.00. What actual yearly interest rate did Noel?

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A writer in the research division of radworth pharmaceutical, inc. is preparing a monthly progress report on the development of a new drug. what is the best way to organize the body of the report?

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Answer:  The correct answer is : When writing a research paper you should avoid: slang, first or second person, formality, contractions, jargon.

Explanation:    When writing this type of work should take into account the impersonality, not make too many subordinate sentences, use more nouns and verbs than adjectives and adverbs, use connectors when necessary, be accurate and precise, avoid metaphors, the text should be clear and understandable.

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Paige pays $532 per month for 5 years for a car. she made a down payment of $3,700.00. if the loan costs 7.1% per year compounded monthly, what was the cash price of the car?

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Paige pays $532 per month for 5 years for a car. she made a down payment of $3,700.00. if the loan costs 7.1% per year compounded monthly, what was the cash price of the car?

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Damian wants to save $7200 to buy a car within the next 2 years. How could a monthly budget be created to help Damian save enough money to buy a car in a timely manner with minimal effect on his other essential expenses?

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Damian wants to save $7200 to buy a car within the next 2 years. How could a monthly budget be created to help Damian save enough money to buy a car in a timely manner with minimal effect on his other essential expenses?

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