Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
If you drive 40 miles, how much can you expect to pay?

Answers

Answer 1

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.


Related Questions

Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?

Answers

Side of base=5in

Perimeter:-4a

[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]

Height=10in

[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]

[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]

[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]

A pair of parallel lines is cut by a transversal: 15 degrees and 80 degrees are the lines What is the measure of angle x?

60 degrees
65 degrees
70 degrees
80 degrees

Answers

Step-by-step explanation:

=80°-15°=65°

please mark this answer as brainlist

When investing money in a bank account, in which situation will you have the most money in your account at the end of three years?

Compounded semiannually
Compounded yearly
Compounded quarterly
Compounded monthly

Answers

Answer:

continuously is the most, and what is actually done at the banks...

as for your answer:

Compounded monthly

Step-by-step explanation:

When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.

What is compound interest?

Compound interest is the interest you earn on interest.

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

To check in which situation we will earn the most money in end of  three years, we calculate the final amount in each situation keeping other variables constant.

Let

P = 5000

r = 5%

t = 3 years

When compounded annually,

[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]

When compounded semiannually,

[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]

When compounded quarterly,

[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]

When compounded monthly,

[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]

Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.

Learn more about compound interest here

https://brainly.com/question/14295570

#SPJ2

Graph
y = 3x^2.
Please thanks

Answers

Answer:

The image of the graph is below.

Step-by-step explanation:

If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) = . The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.

Answers

Answer:

[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]

Step-by-step explanation:

Given

[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]

[tex](x + 7) * (\ ) = [\ ][/tex]

Required

Complete the blanks

We have:

[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]

Rewrite as:

[tex]\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1[/tex]

Cross multiply

[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]

Answer:

Answer B, C, C

I need help PLZ thanks for your help
Image below

Answers

Answer:

3x - 14 = x + 30

[ Opposite angles of a ||gm are equal ]

=> 3x - x = 30+14

=> 2x = 44

=> x = 22

Therefore , option 4 is correct

hope that helps ✌

Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.

Answers

Answer:

SA = 664 in.²

Step-by-step explanation:

Surface area of the rectangular prism = 2(LW + LH + WH)

Where,

Length (L) = 16 in.

Width (W) = 5 in.

Height (H) = 12 in.

Substitute the values

Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)

= 2(80 + 192 + 60)

= 2(332)

= 664 in.²

Green Forest Park’s walking trail is 3.218 km. long. Blue Lake Park's walking trail is 2.414 km. long. How much longer is Green Forest Park’s trail than Blue Lake Park’s trail? GIVING 20 POINTS

Answers

Answer:

0.804

Step-by-step explanation:

Subtract 3.218 by 2.414

PLz, Help fast! 100 points
A line is drawn on a scatter plot, as shown below:

A graph shows values till 10 on both x- and y axis with increments of 1.Dots are shown at 0.5, 7.5 and 1.8, 6.5 and 3, 6 and 4.4, 5 and 4.8, 4 and 5.9, 3.2 and 6.6, 2 and 7.5, 2.5 and 8, 1 and 8.8, 0. A straight line joins the ordered pairs 0, 7.9 and 10, 0.

Which statement best describes the line?

Answers

Answer:

It can be the line of best fit because it closely fits the data points.

Step-by-step explanation:

The line is near the data points and goes down from left to right just like the data points.  It is just above or just below the data points.

Answer:

guy above is right

Step-by-step explanation:

PLEASE HELP ASAP!!!!!Sunny earns $22.75 per week delivering newspapers. He worked as a delivery boy for 3 weeks. He also earned $32.75 last
month doing chores around the house. He spent $14.25 of his total earnings to download music on his mobile device. Sunny put
of the remaining money in his savings account. Sunny used the following steps to find the total money he put in his savings
5
account:
Step 1: [($22.75 + 3) + $32.75 - $14.25)
5
Step 2: [$44.25)
Step 3: $11.0625
In which step did Sunny first make an error? Use words to explain how Sunny can correct his error.

Answers

Answer:

error in step one

Step-by-step explanation:

Sunny earns $22.75 per week delivering. delivery boy for 3 weeks.

That means $22.75 x 3 not $22.75 + 3

He can correct his mistake by doing this:

Step 1: [($22.75 * 3) + $32.75 - $14.25] * 1/ 5

Step 2: [$86.75] *1/5

Step 3: $17.35

Answer:

putting this so the other might be brainliest!

Step-by-step explanation:

also, be extremely careful, you put the link for your school and your teachers name on the top of the photo! sorry if i sound creepy lol, but yeah :)

please help me i will give 20 points for this question ​

Answers

Answer:

1. a. 2

b. -½

c. y - 3 = -½(x - 8) => point-slope form

y = -½x + 7 => slope-intercept form

2. a. -1

b. 1

c. y - 5 = 1(x - 3) => point-slope form

y = x + 2 => slope-intercept form

Step-by-step explanation:

1. (8, 3) and (10, 7):

a. The gradient for the line joining the points:

Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (8, 3) = (x_1, y_1) [/tex]

[tex] (10, 7) = (x_2, y_2) [/tex]

Plug in the values

Gradient = [tex] \frac{7 - 3}{10 - 8} [/tex]

Gradient = [tex] \frac{4}{2} [/tex]

Gradient = 2

b. The gradient of the line perpendicular to this line = the negative reciprocal of 2

Negative reciprocal of 2 = -½

c. The equation of perpendicular line if it passes through the first point, (8, 3):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (8, 3)

Slope (m) = -½

Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - 3 = -½(x - 8) => point-slope form

We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:

Thus:

y - 3 = -½(x - 8)

y - 3 = -½x + 4

y - 3 + 3 = -½x + 4 + 3

y = -½x + 7

2. (3, 5) and (4, 4):

a. The gradient for the line joining the points:

Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5) = (x_1, y_1) [/tex]

[tex] (4, 4) = (x_2, y_2) [/tex]

Plug in the values

Gradient = [tex] \frac{4 - 5}{4 - 3} [/tex]

Gradient = [tex] \frac{-1}{1} [/tex]

Gradient = -1

b. The gradient of the line perpendicular to this line = the negative reciprocal of -1

Negative reciprocal of -1 = 1

c. The equation of perpendicular line if it passes through the first point, (3, 5):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (3, 5)

Slope (m) = 1

Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).

Thus:

y - 5 = 1(x - 3) => point-slope form

We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:

Thus:

y - 5 = 1(x - 3)

y - 5 = x - 3

y - 5 + 5 = x - 3 + 5

y = x + 2

If A = 2m + 1 and B 2m2 - 1 + 8m, find an expression that
equals 3 A + B in standard form.
Please help

Answers

Answer:

2m² + 14m + 2

Step-by-step explanation:

3A + B

= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3

= 6m + 3 + 2m² - 1 + 8m ← collect like terms

= 2m² + 14m + 2 ← in standard form

10 Adoya deposited sh 4000 for 2 years in a bank which paid 122% p.a. simple interest. What interest did he get after two years?​

Answers

Me too I need the answer

Find the real solution(s) of the following equation.
98 =
= 729
Choose all answers that apply:
A
8= 7
B
8= -7
8=9
D
8= -9
None of the above

Answers

Answer:

a=9

Step-by-step explanation:

a^3 = 729

Taking the cube root of each side

a^3 ^(1/3) = 729^ (1/3)

a = 9

What is the greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case?

Answers

The greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case is 8

in the afternoon the temperature was 52 degrees. a strong arctic cold front caused the temperature tio drop 38 degrees in 4 3/4 hours. if the temperature continues to drop at thre same rate what will the temperature be after 2 hours?​

Answers

Answer:

5.9

Step-by-step explanation:

14 degrees dropped in 4 3/4, in one hour 56/19 degrees will drop. In two hours, 112/19=5.9 degrees will drop

Simplify the following​

Answers

Answer:625/16 or 39,0625

Step-by-step explanation:

=5*5/2*5÷2*3/5*3

=160/64÷8/125

=625/16 or 39,0625

Answer:

Alternate form is 1525.87891

Find the length of y. Assume the triangles are similar.\

A. 3.6
B. 3.2
C. 3.9
D. 3.4

Answers

6,3:y=4,2:2,4

y=3,6

Chọn a

Arc measurement with equations

Answers

Answer:

thats the question?

Step-by-step explanation:

what is the answer the / is division/divided? t+d/8-6

Answers

Answer:

t+d/2

Step-by-step explanation:

a student takes a rectangular piece of paper 30 cm long and 21 cm wide find the area of the biggest circle that can be cut out from the paper also find the area of the paper left after cutting out the circle​

Answers

Answer:

Step-by-step explanation:

diameter of the circle=smallest of the length and width=21 cm

r=21/2

area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²

Can anyone help me with this it’s question 2 help please

Answers

Answer: 2x³ + 2x² + 36

Working:

= (2x + 6) × (x² - 2x + 6)

= 2x³ - 4x² + 12x + 6x² - 12x + 36

= 2x³ -4x² + 6x² +12x -12x +36

= 2x³ + 2x² + 36

Answered by Gauthmath must click thanks and mark brainliest

I cannot see your question it’s blurry send me it

Also with explanation

Answers

x=16 & 4
Hope it helps!

A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest taxi ride he can afford, in kilometres?

Answers

Answer:

4 kilometers

Step-by-step explanation:

First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford.

2 + 0.40x = 9.60

Now, we have to solve for our x value by subtracting 2 from both sides.

0.40x = 7.60

Next, we can divide both sides by 0.40 to find out what our x value is equal too.

x = 19

Don't forget this x value is just for the number of additional fifth kilometers Dan can afford on top of his first fifth mile.

So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and their difference is 10 find the two integers ​

Answers

Answer:

20, 30

Step-by-step explanation:

let the intergers be x and y

x = 2/3y

from this eqn, we know that y is larger.

hence, y-x=10

y-2/3y=10

1/3y=10

y=30

x=2/3y =2/3(30) = 20

what is the answer?

Answers

Answer:

3,6

Step-by-step explanation:

PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?

Answers

Answer:

D

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 3 , then

[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D

The scatter plot below shows the relationship between years of education and income for a representative sample of adults.
Which of the following is the best estimate of the average change in a person's income that is associated with going to school for an additional year?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
$
1
$1dollar sign, 1

(Choice B)
B
$
2
$2dollar sign, 2

(Choice C)
C
$
3000
$3000dollar sign, 3000

(Choice D)
D
$
7000
$7000dollar sign, 7000

2
2
4
4
6
6
8
8
10
10
12
12
14
14
16
16
18
18
20
20
22
22
24
24
20000
20000
40000
40000
60000
60000
80000
80000Annual income (dollars)Years of education

Answers

Answer:

A

Step-by-step explanation:

khan

find the value of 2 raise the power negative 6​

Answers

Answer:

1 /64

Step-by-step explanation:

2^-6

We know that a^-b = 1/a^b

1 / 2^6

1/64

Natalie bought 8 toys for $50. Which of the following has the same price per toy?

Answers

Well you didn’t put and options but the cost per toy is $6.25 so which ever is equal to that should be your answer.
50/8 =6.25

Answer:

The price per toy is $6.25.

Step-by-step explanation:

The price per toy is calculated by dividing the cost of all toys by the number of toys.

$50/8 = $6.25

The price per toy is $6.25.

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