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coldgirl [10]
3 years ago
5

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge

S (in dollars) is given by the function =S+0.60M18.95, where M is the number of miles driven.
The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+0.15M3.70
.

Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0
Lets see... we have two companies charging two different prices.  So, the first thing we need to do if find the equation of both companies. Company A: c= 0.25m+30       m is the number of miles, which costs .25 cents.  Hence, .25mCompany B: c= 0.10m+40      it charges 10 cents per mile, which is 0.10 m Now, make the two equations equal to each other.  The answer that we get will be the exact number when you pay the same cost for either company A or B.  In other words, at that number of miles you don't care which company you choose.  However, if you go beyond that number of miles or below that number of miles, it will make a difference. 0.25m+30=0.10m+40     Subtract 30 from both sides          -30              -300.25m=     0.10m+10      Subtract 0.10m from both sides  -0.10m    -0.10m0.15m= 10                      Divide both sides by 0.15     m= 66 2/3   Up to that point, company A will be the best choice.  After that particular number of miles, company B will be the better choice. Hope this helps you.

~ Natalia 
 
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A probability experiment is conducted in which the sample space of the experiment is Sequals=StartSet 9 comma 10 comma 11 comma
White raven [17]

Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

F={9, 10, 11, 12, 13}​

G={13,14,15,16}

Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}​

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

P(F or G)=0.667

Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

F={9, 10, 11, 12, 13}​

number of outcomes in F=n(F)=5

P(F)=n(F)/n(S)

P(F)=5/12

P(F)=0.417

G={13,14,15,16}

number of outcomes in G=n(G)=4

P(G)=n(G)/n(S)

P(G)=4/12

P(G)=0.333

F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

P(F and G)=0.083

P(F or G)=P(F)+P(G)-P(F and G)

P(F or G)=0.417+0.333-0.083

P(F or G)=0.667

8 0
3 years ago
Read 2 more answers
Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs
iren2701 [21]

Answer:

Letting L = distance per lap

4L + 8 = 6L + 4

2L = 4

L = 2 miles

She runs 16 miles each day

2 miles per Lap = 8 Laps on Saturday

Step-by-step explanation:

3 0
2 years ago
Ebony's gross income is $46 660 with allowable tax deductions of $4120. a What is Ebony's taxable income? b Calculate the amount
jasenka [17]

Answer:

(a) Ebony's taxable income = $42,540

(b) Amount of tax due = $5190.3

(c) Amount of tax owed = $4810.3

Step-by-step explanation:

Ebony's gross income = $46,660 (given)

Allowable tax deductions = $4,120 (given)

(a) Taxable Income = Gross income - Tax deductions

Ebony's taxable income = $46,660 - $4,120

Ebony's taxable income = $42,540

(b) Amount of tax due = 22% of Taxable Income,

Refer to the USA Tax Brackets for 2019 (See Attached image)

Amount of tax due = 10% on first $9,700 + 12% on ($39475-$9700) + 22% on  ($42540-$39475).

Amount of tax due = 10% on first $9,700 + 12% on $29775 + 22% on $3065.

Amount of tax due = $970 + $3573 + $647.3

Amount of tax due = $5190.3

(c) Ebony pays $95 per week in tax. In four weeks (a month), she'd pay

$95 * 4 = $380

Amount of tax owed = Amount of tax due - Amount of tax paid

Amount of tax owed = $5190.3 - $380 = $4810.3

3 0
3 years ago
Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa
frozen [14]

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that \frac{1}{4}th of it is missing.

So, the actual length of the cookie is 18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5 inches.

If all the four of them get the same amount of the giant cookie then each of them will get \frac{13.5}{4} = 3.375 inches of cookie. (Answer)

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A soft drink costs $1.65 and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?
harkovskaia [24]
You can get 3 refills.
First you subtract $4.50-$1.65 which equals $2.85. Then you find out how many times 95¢ can go into that. It goes in 3 times so you can get 3 refills.
8 0
3 years ago
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