The relationship between the monthly fee for Brandon’s phone and the price per minute for long distance is modeled by the linear function f (x) = 0.05x + 3, where x is the number of minutes used for long distance. What is the total bill if Brandon used 20 minutes of his long distance service in a month?

Answers

Answer 1

If you use 0.05x+3 (x equal to the number of minutes) it would be 0.05(20) + 3 = 4. Pretty sure this is correct, but you might want to check it.

Answer 2

the linear function f (x) = 0.05x + 3,

f(x) is the monthly fee and x is the price per minute

Brandon used 20 minutes of his long distance

So x is 20 minutes

We plug in 20 for x

f(x) = 0.05x + 3

f(20) = 0.05(20) + 3 = 4

So total bill is $4 if Brandon used 20 minutes of his long distance service in a month

Related Questions

A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)

Answers

the complete question in the attached figure

we know that
surface area of a sphere=4*pi*r²
for r=6380 km------->r=6380 x 10^3 m

surface area of of the earth=4*pi*(6380 x 10^3)²-----> 511506576035121,52 m²

if 1 barn is equal to-------------> 10^(-28) m²
x barn----------------------> 511506576035121,52 m²
x=511506576035121,5/(10^(-28))------> x=5.12 x 10^42 barn

the answer is5.12 x 10^42 barn

You are painting a ceiling in a room. The room measures 30 feet by 40 feet. One gallon of paint costs $25 and covers 200 square feet. How much will it cost to paint the ceiling?
A. $6
B. $17.50
C. $150
D. $1,200

Answers

we know that
the area of the room=30*40------> 1200 ft²

1 gallon of paint cover----------------> 200 ft²
x---------------------------> 1200 ft²
x=1200/200------> x=6 gallons

1 gallon cost------------> $25
6 gallons-----------> x
x=6*25-----> x=$150

the answer is
the option C. $150

Answer:

C. $150

Step-by-step explanation:

we know that

the area of the room=30*40------> 1200 ft²

1 gallon of paint cover----------------> 200 ft²

x---------------------------> 1200 ft²

x=1200/200------> x=6 gallons

1 gallon cost------------> $25

6 gallons-----------> x

x=6*25-----> x=$150

the answer is

the option C. $150

Before a renovation, a movie theater had 111 seats. After the renovation, the theater has 154 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.

A. 28.1% B. 38.7% C. 43.3% D. 24.8%

Answers

Percentage increase will be given by:
(New number-Old number)/(Old number)×100
new number=154 seats
old number =111 seats
thus
Percentage increase is:
(154-111)/111×100
=38.7%

Answer: B. 38.7%

The chord AB is a diameter of O. True or false.

Answers

Answer:

False.

Step-by-step explanation:

We have been given a graph and a statement. We are asked to determine whether the given statement is true or false.

Statement: The chord AB is a diameter of O.

We know that diameter of a circle is a chord that passes through the center of the circle.

Upon looking at our given graph, we can see that chord AB doesn't pass through the center at point 'o', therefore, AB is not a diameter of circle O.

Therefore, the given statement is false.

Answer: False

Step-by-step explanation:

I just got it right on the quiz

WHO LIKES PARABOLAS 3 MULTIPLE CHOICE
1. What is the vertex of the parabola? y−3=12(x+5)^2
2. The equation of a parabola is y=12x2+6x+23 .
What is the equation of the directrix?
y = 5.5
y = 4.5
y = 2
y = 0.5
3.The equation of a parabola is 132(y−2)2=x−1 .
What are the coordinates of the focus?
(−7, 2)
(1, 10)
(1, −6)
(9, 2)

Answers

Question 1) Vertex of the Parabola.

[tex]y-3=12(x+5)^{2} \\ \\ y= 12(x+5)^{2}+3[/tex]

The vertex of the general parabolic equation:

[tex]y=a(x-h)^{2}+k [/tex]

lies at (h,k)

Comparing the given equation to general equation, we can write:

h = - 5
k = 3

So, the vertex of the given parabola will be (-5, 3)

Question 2) Equation of Directrix

The correct equation of the parabola is:

[tex]y= \frac{1}{2} x^{2} +6x+23 \\ \\ [/tex]

First we need to convert the equation to standard form as shown below:

[tex]y= \frac{1}{2}( x^{2} +12x)+23 \\ \\ y= \frac{1}{2}( x^{2} +12x+36)+23- \frac{1}{2}(36) \\ \\ y= \frac{1}{2}(x+6)^{2}+5 \\ \\ y-5= \frac{1}{2}(x+6)^{2} \\ \\ 2(y-5)=(x+6)^{2} \\ \\ 4( \frac{1}{2})(y-5)= (x+6)^{2}[/tex]

The directrix of the general parabola of the form:

[tex]4p(y-k)=(x-h)^{2} [/tex]

is y = k - p

Comparing equation of given parabola with general parabolic equation, we can write:
p =1/2
k = 5

So, equation of directirx will be:

y = 5 - 1/2 = 4.5

So, option B gives the correct answer.

Question 3) Focus of the parabola

The correct equation of the parabola is:

[tex] \frac{1}{32}(y-2)^{2}=x-1 \\ \\ (y-2)^{2}=32(x-1) \\ \\ (y-2)^{2}=4*8(x-1)[/tex]

Comparing this equation to the general parabolic equation, we can write:
p=8
h =1
k = 2

The focus of the parabola will be at (h+p,k) = (9,2)

So the focus of the parabola is at (9,2)

Thus, option D gives the correct answer.

Rectangle ABCD is shown below with line EF passing through the center:
If rectangle ABCD is dilated by a scale factor of five about the center of the rectangle to create rectangle A'B'C'D', dilated line E'F' will

A: be parallel to the original line
B: shift five units to the right
C: be perpendicular to the original line
D: lie on the same line as the original

Answers

Dilation of rectangle ABCD by a given scale factor about the center of rectangle to create an image, will not affect the image of the EF which is E'F', this is because line EF is passing through the center of the rectangle, the point at which the rectangle was dilated. Thus the answer will be:

D: lie on the same line as the original

Answer:

D lie on thesame line as the original

Step-by-step explanation:

I took the test and hurray! It was correct

Which of the following segments is a radius of O?
Please help

Answers

Possibly B. RO. maybe even

ANSWER

The segment that is a radius is

[tex]\bar{RO} [/tex]

EXPLANATION

A radius is any line segment from the center of a circle to the circumference.

From the above diagram, the center of the circle is O.

The points on the circumference are A, R S and T.

The only line from the circumference to the centre in the options above is the line segment RO.

The correct answer is B.

Note however that

[tex]\bar{AS}[/tex]
is a diameter, which is a special chord.

[tex]\bar{RA}[/tex]

is a chord.

[tex]
\bar{ST}[/tex]
is also a chord.

answer these questions. Number 1 and number 2.

Answers

It would kinda make a triangle shape the others doesn't match and for the second one i'd be out of both cones.

1) The shape of the cross section is a triangle.

2) A cone, the top right one, is being formed by the rotation.

The perimeter of a rectangle is 30 centimeters. The width of the rectangle is 6 centimeters. How long is the rectangle?

Answers

it is 9 because 9+9=18 and 18+6=24 and 24+6=30

What is the inverse of the function f(x)= 19/x^3 ?

Answers

[tex]f(x)=\dfrac{19}{x^3}\to y=\dfrac{19}{x^3}\\\\\dfrac{y}{1}=\dfrac{19}{x^3}\ \ \ \ |cross\ multiply\\\\yx^3=19\ \ \ \ |:y\neq0\\\\x^3=\dfrac{19}{y}\to x=\sqrt[3]{\dfrac{19}{y}}[/tex]
Answer: [tex]f^{-1}(x)=\sqrt[3]{\dfrac{19}{x}}[/tex]

What is the equation for a line that passes through the points (-3,-3) and (6,21)?

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& -3~) % (c,d) &&(~ 6 &,& 21~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{21-(-3)}{6-(-3)}\implies \cfrac{21+3}{6+3}[/tex]

[tex]\bf \cfrac{24}{9}\implies \cfrac{8}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-3)=\cfrac{8}{3}[x-(-3)] \\\\\\ y+3=\cfrac{8}{3}(x+3)\implies y+3=\cfrac{8}{3}x+8\implies y=\cfrac{8}{3}x+5[/tex]

Due tomorrow. Please help!!!!

Answers

The common difference can be found from
[tex]d=\dfrac{a_{17}-a_{7}}{17-7}=\dfrac{81-41}{17-7}=\dfrac{40}{10}=4[/tex]
The first term of the sequence can be found from either of the given terms.
[tex]a_{7}=41=a_{1}+(7-1)d=a_{1}+24\\a_{1}=41-24=17[/tex]

The sum of 40 terms is
[tex]S_{40}=\dfrac{40}{2}(a_{1}+a_{40})=20(17+(17+39\cdot 4)=20\cdot 190=3800[/tex]

The sum of the first 40 terms is 3800.

Urgent!!! What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1) ?

Answers

Use the rise over run formula to find the slope:

[tex] \frac{y2-y1}{x2-x1}[/tex]

[tex] \frac{-1 - 7}{4-2} = \frac{-8}{2} = -4[/tex]

Find the y-intercept of the line by multiplying the slope by the distance between x = 0 and a point. We'll use (2,7) to find the y-intercept.

0 - 2 = -2

-2(-4) + 7 = 15

The new point on the line is (0,15). Since x = 0, 15 is your y-intercept.

Plug in your slope and y-intercept into the equation:

[tex]y = mx + b[/tex]

Answer:

[tex]y = -4x + 15[/tex]

the number of mosquito at the beginning of the summer was 4,000. the population of mosquito is expected to grow at a rate of 25% a month . how many mosquitoes will there be after 4 months

Answers

Final answer:

Using the formula for exponential growth and given an initial population of 4,000 mosquitoes with a 25% monthly growth rate, the mosquito population is expected to grow to approximately 9,766 after 4 months.

Explanation:

The question involves calculating the growth of a mosquito population over a period, specifically after 4 months, given an initial population of 4,000 mosquitoes and a monthly growth rate of 25%. To find the population after 4 months, we use the formula for exponential growth:

P = P0 × (1 + r)n

where P is the population at the end, P0 is the initial population, r is the growth rate (expressed as a decimal), and n is the number of time periods.

Substituting the values, we get:

P = 4000 × (1 + 0.25)4

P = 4000 × (1.25)4

After calculating, we find that P = 9765.63. Thus, the population of mosquitoes after 4 months is expected to be approximately 9,766.

The mosquito population grows from 4,000 to approximately 9,766 over 4 months with a 25% monthly increase.

The initial number of mosquitoes is 4,000, and the population increases at a rate of 25% per month. To find the population after 4 months, we use the formula for compound interest:

P = P0 [tex](1 + r)^{t[/tex]

where:

P0 is the initial populationr is the growth ratet is the time in months

Given:

P0 = 4,000r = 25% or 0.25t = 4

Substitute these values into the formula:

P = 4000 × (1 + 0.25)⁴

First, calculate (1 + 0.25):

1 + 0.25 = 1.25

Then, raise this to the power of 4:

(1.25)⁴ = 2.4414

Finally, multiply by the initial population:

P = 4000 × 2.4414 = 9765.6

Thus, the mosquito population after 4 months is approximately 9,766.

two negative integers have a sum of -18 and a product of 80. what are the integers?

Answers

The two integers your looking for are -8, and -10. -8+-10=-18
-8*-10=80
Please rate brainliest if this helped you.

Hello!

The most reasonable answer would -8 and -10.

-8 * -10 = 80

-8 + -10 = 18

Hope I helped!

The equation of a circle is x2 − 4x + y2 + 8y − 29 = 0. what are the center and radius of the circle? enter your answers in the boxes.

Answers

[tex]\text{The standard form of the circle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\\text{h and k are the x and y coordinates of the circle}[/tex]

[tex]\text{We have}\\\\x^2-4x+y^2+8y-29=0\\\\\text{use:(*)}(a\pm b)^2=a^2\pm2ab+b^2[/tex]
[tex]x^2-2x\cdot2+y^2+2y\cdot4=29\ \ \ |+2^2\ \ |+4^2\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=29+2^2+4^2\\\\(x-2)^2+(y+4)^2=49[/tex]
[tex]\text{Answer: the center (2;-4), the radius}\ r=\sqrt{49}=7[/tex]

Final answer:

The center of the circle described by the equation x2 − 4x + y2 + 8y − 29 = 0 is (2, -4), and the radius is 7 units.

Explanation:

The equation of a circle given in the question is x2 − 4x + y2 + 8y − 29 = 0. To find the center and radius of the circle, we will complete the square for both x and y terms.

This involves adding and subtracting the squared half of the coefficients of x and y to complete the square:

(x2 - 4x + 4) - 4 + (y2 + 8y + 16) - 16 = 29 + 4 + 16

(x - 2)2 + (y + 4)2 = 49

This equation is now in standard circle form, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius.

The center of the circle is therefore at (2, -4) and the radius is √(49) = 7 units.

Which of the following have been used to measure wealth in early societies?

Cows
Dogs
Grain
Land
Metals

Answers

The answer is cows, metals, land, and grains.

how do I solve this?

Answers

Distribute the exponent power of 2 to each term:
[2² * (√(3x⁵))² - 2² * (√y)²]

Now simplify. Placing a square root to the power of 2 just cancels each other out so you're left with:
[4(3x⁵) - 4y]

Simplify again for your answer:
12x⁵ - 4y

{3, 4, 7} list all the subsets.

Answers

A subset is a collection of items drawn from the original larger set. A subset can have the same number of items as the original set or the count can be smaller.

Subsets that have 3 items: {3, 4, 7} which is the original set. Any set is a subset of itself.

---------------------------------------------------------------------------------------

Subsets that have 2 items
{3, 4}, {3, 7}, {4, 7}

---------------------------------------------------------------------------------------

Subsets that have 1 item
{3}, {4}, {7}

---------------------------------------------------------------------------------------

Subsets that have 0 items: the empty set which we write { } or using the symbol [tex]\varnothing[/tex]

---------------------------------------------------------------------------------------

So all together we have 8 subsets
{3, 4, 7}
{3, 4}, {3, 7}, {4, 7}
{3}, {4}, {7}
{ }

Side Note: There are n = 3 items in the original set so there are 2^n = 2^3 = 8 subsets possible. The collection of all subsets is known as a power set.

Final answer:

The subsets of {3, 4, 7} are {}, {3}, {4}, {7}, {3, 4}, {3, 7}, {4, 7}, {3, 4, 7}

Explanation:

When listing all the subsets of {3, 4, 7}, we include the empty set {}, as well as all the subsets that can be formed by selecting one or more elements from the original set. In this case, the subsets are:

{}{3}{4}{7}{3, 4}{3, 7}{4, 7}{3, 4, 7}

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In the data set below, what is the mean absolute deviation?4461526If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD):

Answers

I assume that the numbers are: 4,4,6,1,5,2,6
If so, then the MAD is 1.43

To find the MAD, you first find the mean of the list. It is 4.
Then find the absolute difference of each number from the mean.

Those values are: 0,0,2,3,1,2,2
Now find the mean of those numbers and you have about: 1.43

A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?

A.{(1, 2), (3, 4), (5, 6), (7, 2)}
B.{(1, 2), (3, 6), (5, 4), (5, 2)}
C.{(1, 2), (3, 2), (5, 2), (7, 2)}
D.{(1, 4), (3, 4), (5, 6), (7, 6)}

Answers

For this case we have the following domain:
{1, 3, 5, 7}
We have the following range:
{2, 4, 6}
A value of the range belongs to each value of the domain.
Therefore, the ordered pairs are:
(1, 2)
(3. 4)
(5, 6)
Answer:
A. {(1, 2), (3, 4), (5, 6), (7, 2)}

Which of the following is equivalent to the midpoint between the points (8, -9) and (0, 5)?

(4, -2)

(4, 2)

(-2, 4)

(2, 4)

Answers

add up the x points and divided by 2
same to go for the y points
so the and is (4,-2)

Anyone know this geometry question? Will give brainiest

Answers

It's think it's C But I guessed

An item is priced at $13.04. If the sales tax is 5%, what does the item cost including sales tax? If necessary, round to the nearest cent.
A.
$13.56
B.
$13.24
C.
$12.39
D.
$13.69

Answers

The answer would be D

to find 5% you have to multiply by 0.05

13.04 * 0.05 = 0.652
When you round it to the nearest cent you get 69 cents
so the answer is D) 13.69

A professor wants to arrange his books on a shelf. he has 30 books and only space on the shelf for 20 of them. how many different 20-book arrangements can he make using the 30 books? this is an example of a problem that can be solved using which method?

Answers

This is an example of a problem that can be solved using combination.

The number of possible arrangements is
[tex]P\left(30,20\right)=\frac{30!}{\left(30-20\right)!\times 20!}=30,045,015[/tex]

There are 30,045,015 possible 20-book arrangements.

Answer: Total arrangement are 30045015

Given problem will be solved with help of combination.

Step-by-step explanation:

When we find the arrangement in which the order does not matter then we use combination,

Here, we have to find the possible arrangement in which order does not matter,

Thus, we will use combination to find the answer.

Here the total number of books = 30

A self contains, the number of book = 20,

Hence, the total arrangement of 20 books out of 30 books

[tex]=^{30}C_{20}[/tex]

[tex]=\frac{30!}{20!(30-20)!}[/tex]

[tex]=\frac{30\times 29\times 28\times 27\times 26\times 25\times 24\times 23\times 22\times 21}{10!}[/tex]

[tex]=\frac{4.9557887\times 10^{12} }{3628800 }=30045015 [/tex]

The population of a town increased from 5,400 to 6,000 people. What was the percent of the increase?

Answers

increase = 6000 - 5400 = 600

percentage increase = 600/5400 x 100 = 11.11%

Answer: 11.11%

Select the statement that is true. Answer Choices The sum of 0.12x2+0.3⎯⎯⎯ and 1.5x2−0.75 is 1.62x2+0.416 . -0.45x2+0.9 subtracted from 2.5x2−7.32 is -2.95x2+8.22 . The difference of 18.94x−0.4⎯⎯⎯ and -10.2x+4.5 is 8.74x−4.94⎯⎯⎯ . The product of 0.6⎯⎯⎯x+3.4 and -6x+5.7 is -4x2−16.6x+19.38 .

Answers

The operations given will be evaluated as follows:
1]
(0.12x^2+0.3)+(1.5x^2-0.75)
=(0.12x^2+1.5x^2)+(0.3+0.75)
=1.62x+1.05

2]
(2.5x^2-7.32)-(-0.45x^2+0.9)
(2.5x^2+0.45x^2)+(-7.32-0.9)
2.95x^2-8.22

3](18.94x-0.4)-(-10.2x+4.5)
=(18.94x+10.2x)+(-0.4-4.5)
=29.14x-4.9

4] (x+3.4)(-6x+5.7)
=x(-6x+5.7)+3.4(-6x+5.7)
=-6x^2+5.7x-20.4x+19.38
=-6x^2-14.7x+19.38

Complete the solution of the equation. Find the value of Y when X equals 2. 2x - 2y = 22

Answers

2x - 2y = 22

substitute 2 as the value of x.

we get;

2*2 -22 = 2y
4 - 22 = -18 = 2y
y = -9

The value of Y when x = 2 is y = -9

Chauncey has 42 coins, all dimes and quarters. the total value of all these coins is $5.70. how many dimes does he have?

Answers

10 quarters = $2.50
32 dimes = $3.20

$3.20 + $2.50 = $5.70

Final answer:

To determine the number of dimes Chauncey has, you can use the system of equations stemming from the total number of coins and their total value. Following through with the calculations, it turns out that Chauncey has 32 dimes.

Explanation:

The subject at hand revolves around the concept of linear equations. Given that Chauncey has 42 coins (all dimes and quarters) worth $5.70, you can use a system of equations to figure out the number of each type of coin.

First, let d be the number of dimes and q be the number of quarters. The total number of coins is 42, so the first equation is d + q = 42.Second, a dime is worth $0.10 and a quarter is worth $0.25. Since the total value of coins is $5.70, another equation you can form is 0.10d + 0.25q = 5.70.Having formed this system of two equations, you can solve it by multiplying the first equation by 0.10, which gives 0.10d + 0.10q = 4.2.Subtract this new equation from the second equation: 0.10d + 0.25q - 0.10d - 0.10q = 5.70 - 4.2. Simplify this to 0.15q = 1.5.Divide each side by 0.15, then q = 10. Substitute q = 10 into the first equation to solve for d. This gives d = 42 - 10 = 32.

So, Chauncey has 32 dimes.

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If prices increase at a monthly rate of 1.1%, by what percentage do they increase in a year, What is the annual inflation rate

Answers

Suppose
P0=$1
A=P(1+r)^(td)
A=1(1+0.011)^12
A=1(1.011)^12
A=$1.1403

Yearly increase will therefore be 14.03%. Hence the inflation per year is 14.03%

Final answer:

To find the annual inflation rate when prices increase at a monthly rate of 1.1%, you use the formula for compounding interest, resulting in an approximate annual rate of 13.97%.

Explanation:

If prices increase at a monthly rate of 1.1%, to calculate the annual inflation rate, you should consider the compounding effect over the year. The general formula for finding the total percentage increase over multiple periods when compounded at each period is:

(1 + rate)^number of periods - 1.

In this case, the monthly rate is 1.1%, or 0.011 when expressed as a decimal. The number of periods (months) in a year is 12. Plugging these values into the formula gives:

(1 + 0.011)^12 - 1,

which calculates to:

1.011^12 - 1 = 0.1397 or 13.97%.

So, the annual inflation rate when prices increase at a monthly rate of 1.1% is approximately 13.97%.

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