A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifies your car on the toll roads) plus $0.60 per mile driven. The second plan does not require that you rent a transponder. Instead, it charges customers $0.75 per mile driven on the toll road. Find the minimum number of miles you would need to drive in a month to make the first deal a better deal.

Answers

Answer 1

Answer:

The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

Step-by-step explanation:

For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:

10+0.60m<0.75m, where:

m is the number of miles driven

Now, you can solve for m:

10<0.75m-0.60m

10<0.15m

10/0.15<m

m>66.6

According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.


Related Questions

Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y = 8(1 – 0.15). Evaluate the function
when t = 3. Round your answer to the nearest tenth.

Answers

Answer:

Initial amount = 8

Decay rate = 15%

Step-by-step explanation:

Given the exponential function :

y = 8(1 – 0.15)

The general form of an exponential Decay function is :

A = P(1 - r)^t

Where

A = final amout ; P = initial amount ; r = days cay rate ; t = time

Hence, comparing with the equation given :

P = 8 = initial amount

r = 0.15 = 0.15 * 100% = 15% = Decay rate

Write an equation in slope intercept form for the graph of the line. ​

Answers

y= 2/1 + 1 (i think. it’s been awhile so i’m not too sure)

Find 25% of 52? Pls fast

Answers

Answer:

13

Step-by-step explanation:

25 x 52 of means multiply

the answer is 12.5

btw
you can use a calculator for these questions,for quicker responses xx


——————

Please do number 14 for me. (Show work)

Answers

Answer:

A

Step-by-step explanation:

3x+h=180

h=180-3x

x+15+x+15+180-3x=180

-x+210=180

-x= -30

x=30

Now that we know that x=30 we can easily figure out the values of the other angles

HDZ= 45

HZD= 45

x=3

Use the distributive property to write (−1)( + 3) as an equivalent expression.

Answers

Answer:

-3

Step-by-step explanation:

- times + is equal to -

A bag contrains 3 red marbles and 4 blue . A marble is taken at random from the bag and replaced. Another marble is taken from the bag. Work out the probability that the two marbles taken from the back or the same color. Give your answer as a fraction

Answers

Answer:

4x-90(3)=50%m

Step-by-step explanation:

m= marbles (take note of my user name

Answer:

For each draw, the chances of getting a blue marble are 3 of 7; the chances of getting a red are 4 of 7.

The chances of drawing a blue on both draws is (3/7)^2 or 9/49, and the chances of getting red on both draws is (4/7)^2 or 16/49. But there are other possible outcomes which have to be considered to come to the correct answer.

There are 4 possible outcomes, as follows (although the chances of these outcomes are different):

Comb Chances

RR …….. 16/49

RB …….. 12/49

BR …….. 12/49

BB ……… 9/49

total …….. 49/49

So we can say that the chances of drawing red marbles on each draw are 16/49, and the chances of drawing blue ones on each draw are 9/49. But what about the chances of drawing either both red OR both blue?

I believe we can simply add the 2 probabilities together to come up with a probability of

Ken Warren, former Accountant at Various (1977-2016)

Answered February 6, 2020

Originally Answered: There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 of the same colour?

Probability of two reds = 4/7 x 4/7 = 16/49 = 32.65%

Probability of two blues = 3/7 x 3/7 = 9/49

Probability of the same colour = 25 / 49 = 51.0 %

Step-by-step explanation:

An item is regularly priced at $19. It is now priced at a discount of 65% off the regular price. Use the a calculator or something to find the price now. THX!

Answers

Answer:

6.65

Step-by-step explanation:

65%of19 is 12.35

19-12.35=6.65 so the item is now priced at $6.65

Find the product of ^

Answers

Answer:

D

Step-by-step explanation:

The answer is D lollllll

Wezi has sixty-three $5-bills. He takes the $5-bills to the bank to exchange them for $20-bills. How many $20-bills does Wezi get? Is there money left over? Explain.

Answers

Answer: 15

Step-by-step explanation:

From the question, we are informed that Wezi has sixty-three $5-bills. The total amount that he has will be:

= 63 × $5

= $315

We are further told that he takes the $5-bills to the bank to exchange them for $20-bills. Based on this, the number of $20-bills that Wezi get will be:

= $315 / $20

= 15 3/4

Therefore, he will get 15 $20 bills

True or false this number is written in scientific notation?
.2486 x 10^12

Answers

Answer:

It Is True

It is true because scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

WHAT IS INSIDE QRS
HELP ME NOW PLS

Answers

Answer:

(-3,3)

Step-by-step explanation:

Point (-3,3) is inside QRS

I hope this helps!! Let me know if you need anymore help

what is area of a quadrilateral

Answers

Answer:

So, area of quadrilateral ABCD = (½ × AC × BE) + (½ × AC × DF) We can calculate the area of different types of quadrilaterals by using the given formula. For the quadrilateral ABCD, if we use centimeter as the unit of measurement, the unit of measure for the area will be cm2 .

I hope it's helpful!

Answer:

Step-by-step explanation:

R u asking for formula ?

If so  then,

1/2 x (h1+h1 )d

which is half the sum of height 1 and 2 multipied by daigonal

Xavier claims that the number of text messages he sends is proportional to the amount he owes on his monthly phone bill. He has listed the number of text messages sent and the amount he owed for a few months: January: 300 text messages sent; $15.00 owed February: 314 text messages sent; $15.70 owed March: 486 text messages sent; $24.30 owed April: 205 text messages sent; $10.25 owed Which of the following methods would help Xavier prove his claim? Select all that apply.

Answers

Answer:

Xavier could plot data points based on the number of text messages sent in each month and the amount owed to create a straight line on the graph starting at (0, 0.05).

Xavier could create a table listing the number of text messages sent in each of the months listed and the amount he owed for those months to test for equivalent ratios.

Step-by-step explanation:

Fully factorise 20x + 16.
.
2
-2

2
TT
0
Enter your answer

Answers

Answer:

4(5x+4) is the answer

Step-by-step explanation:

..............

a lesson starts at 10:15 it lasts for 55 minutes. when does the lesson end

Answers

Answer:

the lesson will end at 11:10.

Step-by-step explanation:

hope this helps:) please mark brainliest

Answer:

11:10

Explanation:

What is a reflection of a geometric shape

Answers

Answer:

A reflection of a geometric shape is the mirror image of the shape.

Hope this helps, thank you !!

A camera shop's daily profit is given by P = 3x2 – 3x + 10, where x is the total number of
cameras sold in the day. If they only had profit of $70 today, how many cameras did they
sell?

Answers

Answer:

5 cameras they sell

Step-by-step explanation:

P = 3x² – 3x + 10       p = 70

3x² – 3x + 10 = 70

3x² – 3x - 60 = 0

x² - x -20 = 0

(x + 4) (x - 5) = 0

x can't be negative, x = 5

The no of cameras sold if A camera shop's daily profit is given by P = 3x² – 3x + 10, where x is the total number of cameras sold in the day. If they only had a profit of $70 today is 5.

What is equation?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

Given:

The equation, P = 3x² - 3x + 10,

If P = 70 then,

70 =  3x² - 3x + 10

x = 5 and -4 but the number of cameras can not be negative

Therefore, The no of cameras sold if A camera shop's daily profit is given by P = 3x2 – 3x + 10, where x is the total number of cameras sold in the day. If they only had a profit of $70 today is 5.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

find area of the triangle 15ft 10ft 10ft

Answers

Answer:

75

Step-by-step explanation:

i'm going to assume that the base is 10, the formula for a triangle is base x height divided by 1/2 (or 2)

15height x 10base = 150 now divided by 2, 150/2 = 75

Please answer fast!

Answers

Answer:

4 and 2

Step-by-step explanation:

a positive times a negative makes a negative

What is the area of a parallelogram that has a base of 12 inches and a height of 8 inches?

Question 1 options:

96 square inches


1.5 square inches


20 square inches

Answers

Answer:

96 square inches

Step-by-step explanation:

Given in a parallelogram

base (b) = 12 inches

height (h) = 8 inches

Now

Area of parallelogram

= b * h

= 12 * 8

= 96 square inches

Hope it will help :)

Answer:

96

Step-by-step explanation:

Area= base x height

       = 12 x 8

       = 96

Since Area of parallelogram is base into height

Help ASAP I will give you 15 points and help with any of your questions

Answers

Answer:

1/2

Step-by-step explanation:

the distance from 6 to 18 is 12 and and 12 is halfway in between 6 and 18 so its 1/2

sorry if im wrong have a blessed day:)

what is the measure of CBF?

Answers

144° i’m pretty sure

Answer:

∠CBF=136°

Step-by-step explanation:

The angles along a straight line always add up to 180:

∠CBF+∠FBA=180

∠CBF+44=180

∠CBF=136°

The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%

Answers

Answer:B

Step-by-step explanation:

2.45(0.35)= 0.8575+2.45= 3.30

B. Because 2.45(0.35)=08575+2.45=3.30

HELLP ILL GIVE ALL MY POINTS IF SOMEONE HELPS The ratio of bows to headbands of Monique’s hair accessories is 8:4.

Select all true statements.




For every 8 hair accessories, 4 are bows.


For every 8 bows, there are 4 headbands.


For every 8 headbands, there are 4 bows.


For every 8 hair accessories, 4 are headbands.


For every 12 hair accessories, 4 are headbands.

Answers

Answer:

Its a

Step-by-step explanation:

Answer:

B and D I think

Explaination:

its bows to hair so its 8:4

and add head bands to bows thats 12

12:4

( all to headbands)

Hope it make sense

Solve the following using long division.

9720 / 18

Answers

Answer:

first digit: 9/18 = 0 and 9 left

second digit: 97/18 = 5 and 7 left

third digit: 72/18 = 4 and 0 left

fourth digit: 00 / 18 = 0 and 0 left

Answer is 540 (skipped the first 0).

Step-by-step explanation:

Please note that you add another digit to what was left in the previous step.

In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?

Answers

Answer:

7 min

Step-by-step explanation:

Answer:

7 Minutes

Step-by-step explanation:

If you divide 42 by 6, you get 7.

o curso de inglês de Carolina teve duração de 4 semestres e 2 meses . quantos tempo durou esse curso de Carolina ?

a 26 meses
b: 24 meses
c : 22 meses
d: 20 meses​

Answers

Answer:

a 26 meses gracias por los puntos

consider the function g(x) = 54(1/3)x. evaluate g(0). what point does this indicate on the graph if g?

Answers

If we’re following order of operations PEMDAS it would be g(0)=54(1/3)0
54x1/3=18
18x0=0 therefore the answer to the equation is 0

What is the value of q in the solution to this system of equations?
2m-5q=8
4m+2q=64
A.4
B.6
C.9
D.14

Answers

Answer:

4

Step-by-step explanation:

M,q 14,4

The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4 thus option (A) is correct.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

2m-5q=8

4m+2q=64

Multiply by 2 into the equation 2m - 5q = 8

4m - 10q = 16

Subtract 4m - 10q = 16 by 4m+2q=64

-10 - 2q = 16 - 64

-12q = -48

q = 4

Hence"The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4".

For more about the equation,

brainly.com/question/10413253

#SPJ2

what is the value of x ? round your answer to the nearest tenth .

Answers

Answer:

39 maybe i don't know

Step-by-step explanation:

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