Camden needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The studio charges $50 per hour of use and the total cost charged for 5 hours is $700. Write an equation for the function P ( t ) , P(t), representing the amount of money Camden would have to pay to use the studio for t t hours.

Answers

Answer 1

Answer: [tex]P(t)=450+50t[/tex]

Step-by-step explanation:

Given

Studio charge $50 per hour and fixed charge for initial use

For 5 hours, it charges $700

Suppose x is the fixed charge

[tex]\therefore 700=x+50\times 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450[/tex]

For t hours, studio charges

[tex]\Rightarrow P(t)=450+50t[/tex]


Related Questions

The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:

A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.

At least how many schools have participated for more than 1 year and less than 6 years? (5 points)

a
4 schools

b
8 schools

c
10 schools

d
20 schools

Answers

Answer:

the answer is 20

Step-by-step explanation:i

hope it helps

Tell me the answer and help me explain please

Answers

Answer:

The answer is 9/10

Step-by-step explanation:

8/10 is the same thing as ⅘, ⅘ is just simplified

⅖ is less than ⅘ so it would come before c

6/5 is more than 1 so it wouldn’t be on that number line.

Answer:

OK.

My answer is based on 2 things.

1. That the furthest point on the left is 0( That other little distance is ignored)

2. That the point C is equidistant from 4/5 and 1.

If so..

Then

4/5 + x + x =1

4/5 +2x = 1

2x= 1-4/5

x=1/10

Now

From 4/5 to C is x...

Then Position C would be

4/5 + 1/10

c= 9/10

Or by simply making guesses...

All Other options are greater than 1... So It can't be those cos C is less than 1

Piper is planning for a birthday party. She gets to pick a meal activity and cake. For dinner the choices are spaghetti or pizza. For activity the choices are a movie, arcade, or skating. For cake the choices are white or chocolate

Answers

Answer:

arcade, pizza, chocalte cake

Step-by-step explanation:

The correct tree diagram is shown in option B.

What is a tree diagram?

A tree diagram can be defined as a tool to determine the total number of possible outcomes. It is very useful in the fields of probability and statistics.

The choices for meal are spaghetti or pizza.

The choices for activity is  movie, arcade, or skating.

And, the choices for cake are Chocolate and white.

Then, the different choices can be such that it includes all the possible combinations for given choices.

By examining the different options, it can be concluded that the option (B) displays all the possible choices.

Hence, the correct tree diagram for the given case is shown is option B.

To know more about tree diagram click on,

https://brainly.com/question/13311154

#SPJ5

Helppp plz. 13+5 times a number X is under 30

Answers

Answer: 1?

Step-by-step explanation:  13+5= 18  

                                              18x 1= 18

which representation does not show y as a function of x?.

Answers

Answer:tbh i think the answer H

Step-by-step explanation:

What is 9 - 10 as a decimal number

Answers

If you meant, 9/10 then that equals 0.9, because 9/10 is “nine tenths” which is the same way you would say 0.9.

37 1/2 of 56 in percent?

Answers

Answer:

hi. im looking for fr33 p01nts. hope u understand. it could also help if u would give brain1est.

Step-by-step explanation:

help please!! i don’t rlly understand this!

Answers

Answer:

Step-by-step explanation:

The first thing they did was factor the denominators

so

x²-3x+2= (x-1)(x-2)

and

x²-1= (x-1)(x+1)

To add two fractions their denominators need to be the same

to accomplish this they mulitpied both sides of the fraction

after that they mulitplied what was in the numerator and combined like terms

Because the denominator cannot equal 0 x≠ -1, 1, 2

Find the value of x and each arc measure.

12 and 13 please

Answers

Answer:

See answers below;

Step-by-step explanation:

Find the diagram attached

12) Given the following

m<EF = 3x - 6

m<GF = 15x - 30

From the diagram, arcEf and arcGF are supplementary. Hence;

arcEF + arcGF = 180

3x - 6 + 15x - 30  = 180

18x - 36 = 180

18x = 180 + 36

18x = 216

x = 216/18

x = 12degrees

arcEF = 3x-6

arcEF = 3(12) - 6

arcEF = 36 - 6

arcEF = 30degrees

arcGF = 180 - aecEF

arcGF = 180 - 30

arcGF = 150degrees

Since arcDE = arcGF (vertical angles), hence arcDE = 150degrees

arcDFG = arcDG+arcGF

arcDFG = 30 + 150

arcDFG = 180degrees

13) arcMN = arcQP (vertical angles)

12x-5 = 6x+3

Collect like terms

12x - 6x = 3 + 5

6x = 8

x = 8/6

x = 1.3

arcMN =12x - 5

arcMN = 12(8/6) - 5

arcMN = 16 - 5

arcMN = 11degres

arcNP = 180 - arcMN

arcNP = 180 - 11

arcNP = 169degrees

Since arcNQP lies on straight line, hence arcNQP is 180degrees

Find the length of line segment x.

A) 16
B) 17
C) 18
D) 19

Answers

Answer:

x=17

Step-by-step explanation:

you have to use the 2 secants rule

8(8+13) = 7(7+x) distribute in parenthesis

64+ 104 = 49 +7x  isolate variable

64+104-49 = 7x combine like terms

119 =7x divide both sides by 7

17 =x

PLS HELP, look at the image

Answers

X is 6,y is 4

Step-by-step explanation:

Use the eliminations method,please look at the picture, Thanks

Answer: x = 4 y = 6

Find the scale factor of the similar shapes below.

Answers

Answer:

Its 3 cube INT and 14 cube INT

Your welcome

Step-by-step explanation:

The point (-3, 1) is onlthe terminal side of angle O, in standard position. What are
the values of sine, cosine, and tangent of O? Make sure to show all work.

Answers

Answer:

cos(θ) =  -3/√10

sin(θ) =   1/√10

tan(θ) =  -1/3

Step-by-step explanation:

When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

tan(θ) = y/x

Now we have the point (-3, 1), then we have:

x = -3

y = 1

√(x^2 + y^2) = √((-3)^2 + 1^2) = √10

Then we just need to replace these values in the given formulas:

cos(θ) = x/(√(x^2 + y^2)) = -3/√10

sin(θ) = y/(√(x^2 + y^2)) =  1/√10

tan(θ) = y/x = 1/-3 = -1/3

what is the domain of the graph ?

Answers

The domain of the graph is all real numbers because the value doesn’t have an end point.

Here are two rectangular prisms: K, L. K= 6, 4, 5. L=5,5,5 1. Which figure do you think has the longer diagonal. 2. Calculate the lengths of both diagonals. Which one is actually longer?

Answers

Answer:

sorry. I need points.

Step-by-step explanation:

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

Which set of coordinates follows these two rules x coordinate start with 4 and add 4 to each term y coordinate start with 4 and multiply each term by 2

A (4, 4), (8, 8), (12, 16)
B (4, 4), (8, 8), (16, 16)
C (4, 4), (6, 16),(8, 64)
D (4, 4), (16,2), (64,0)

Answers

Answer:

A; (4,4), (8,8) and (12,16)

Step-by-step explanation:

The value x starts with 4 and add 4 to each term

The value y start with 4 and each term next is multiplied by 2

So for x, we have;

4 , (4 + 4) and (4 + 4 + 4)

= 4,8 and 12

For y;

we have ;

4, (4 * 2) , (4 * 2 * 2)

= 4, 8, 16

so pairing up, we have;

(4,4), (8,8) and (12,16)

HEEEEELLLPPPPPPP!!!!!!!!!!!!!

Answers

Answer:

E. b + u = 21

Step-by-step explanation:

b = (bicycles)

u = (unicycles)

The Question gives you the answer.

" the number of bicycles plus the number of unicycles is 21"

*put as an equation*

b + u = 21

<3 Enjoy,

    Dea


(a) Write 7.2 x 10-3 as an ordinary number.


(b) Write 71500000 as a number in standard form.


Answers

Answer:

(a) 0.0072

(b) 7.15 x 10^7

Step-by-step explanation:

Numbers less than 1 have a negative exponent

- those greater than 1 have a positive exponent.

The first part of standard form  has values between 0 and 10.

Estimate the measure of the angle shown below.



85°
110°
95°
150°

Answers

Answer:

85 angle degree is the answer

Answer:

85 degrees

Step-by-step explanation:

The angle Looked like a acute angle and 85 degrees is the only choice there is of an acute angle

ASAP

how did you get the answer

(Will mark brianist)

Answers

The answer is A. None of the other answers would make sense and because choosing 10 from each classroom will provide a better result then the other two.

The net of a three-dimensional figure is made of 6 rectangles that may or may not be squares. Depending on the
number of rectangles that are squares, which could be the figure? Select three options.
O a cube
a square prism
a square pyramid
O a rectangular prism
a rectangular pyramid

Answers

Answer:

A. a cube

B. a square prism

C. a rectangular prism

Step-by-step explanation:

The net of a given shape is the description of  its three dimensional surfaces  in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;

i. a cube

ii. a square

iii. a rectangular prism

The three options above have surfaces that could either be squares or rectangles.

What is the approximate area of the circle shown below? A. 2460 cm2 B. 44 cm2 C. 88 cm2 D. 616 cm2​

Answers

Answer:

3.14(14)^2 = 615.44

colesest answer D

question below , vvvvv

Answers

Answer:

5 + 2x = 5x + 4

-2x             -2x

5 = 3x + 4

-4          -4

1 = 3x

Divide by 3 on both sides.

1/3 = x

HELLO GUYS AND GIRLS CAN YOU PLEASE HELP?
(Find the value of x in degrees)

Answers

Answer:

x = 25 and x = 47

Step-by-step explanation:

(9)

The given angles are vertical and congruent , then

2x + 10 = 60 ( subtract 10 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

(10)

The given angles are vertical and congruent , then

2x + 6 = 100 ( subtract 6 from both sides )

2x = 94 ( divide both sides by 2 )

x = 47

A combined total of $53,000 is invested in two bonds that pay 2% and 8.5% simple interest. The annual interest is $3,335.00. How much is invested in each bond? The amount invested at 2% is $ The amount invested at 8.5% is $

Answers

Answer:

8.5 = $35,000

2% = $18,000

Step-by-step explanation:

two equations can be derived from the question

x + y = $53,000 equation 1

0.02x + 0.085y = $3,335.00. equation 2

x = amount invested in 2% bond

y =  amount invested in 8.5% bond

multiply equation 1 by 0.02

0.02x + 0.02y = 1060 equation 3

subtract equation 2 from 3

0.065y = 2275

y = 35,000

substitute for y in equation 1

53,000 - 35,000 = 18,000

Help me!!!!!!!!!!!!!!

Answers

Answer:

use brainly points

Step-by-step explanation:

Answer:

so besacily find wich way it goes opposite

Step-by-step explanation:

Given that sinФ = 8/17 and cos Ф < 0:

In which quadrant does the terminal side lie when it is placed in standard position?

What is the value of CosФ? CosФ =

What is the value of tanФ? TanФ =

Answers

Answer:

1) The terminal side lies in quadrant 2

2) cosФ = -15/17

3) tanФ = -8/15

Step-by-step explanation:

1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1

2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17

3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15

A 5 cm×11 cm\greenD{5\,\text{cm} \times 11\,\text{cm}}5cm×11cmstart color #1fab54, 5, start text, c, m, end text, times, 11, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of 12 cm\blueD{12\,\text{cm}}12cmstart color #11accd, 12, start text, c, m, end text, end color #11accd.

What is the area of the shaded region?

Answers

Answer:

42.5 square.cm

Step-by-step explanation:

Find the diagram attached

Area of the shaded portion = area of square - area of circle

Area of square = L²

Area of square = 11 × 11

Area of square = 121 square centimetres

Area of circle = pir²

r is the radius of the circle = 5cm

Area of the circle = 3.14×5²

Area of the circle = 3.14×25

Area of the circle = 78.5 square. cm

Area of the shaded region = 121 - 78.5

Area of the shaded region = 42.5 square.cm

Answer:

397.39cm

Step-by-step explanation:

did it on khan ur welcome <3

HELP ITS URGENT
a. b. c. or d.???

Answers

Answer:

It's the last option, (a-c)√x + b√y

Step-by-step explanation:

How do you do these?

Answers

Answer:

a. 10^- 3

b. 10^- 7

c. 10^- 8

d. 10^- 9

e. 1 / 10^6

a.

1 / 10. 1 / 10. 1 / 10

= 1 / ( 10 x 10 x 10 )

= 1 / 1000

= 1 / 10^3

= 10^- 3

b.

1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10

= 1 / ( 10 x 10 x 10 x 10 x 10 x 10 x 10 )

= 1 / 10000000

= 1 / 10^7

= 10^- 7

c.

( 1 / 10. 1 / 10. 1 / 10. 1 / 10. )^2

= ( 1 / 1000 )^2

= ( 1 / 10^3 )^2

= ( 10^- 3 )^2

= 10^( - 3 x 2 )

= 10^- 6

d.

( 1 / 10. 1 / 10. 1 / 10 )^3

= ( 1 / 1000 )^3

= ( 1 / 10^3 )^3

= ( 10^- 3 )^3

= 10^( - 3 x 3 )

= 10^- 9

e.

( 10. 10. 10. )^- 2

= ( 10^3 )^- 2

= ( 1 / 10^3 )^2

= 1 / 10^( 3 x 2 )

= 1 / 10^6

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