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

a car travels a distance and of 180 km in 2 hours on a straight road .how many km can it travel in 3 hours at the same speed​

Answers

Answer:

270 KM

Step-by-step explanation:

180 divided by 2= 90

90*3= 270

find the value of x in the figure.​

Answers

The answer is 121 because 180 - 59 = 121

Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Side Length AB = 22

Side Length CB = 35.21

Side Length = 41.52

Angle A = 58°

Angle B = 90°

Angle C = 32°

Step-by-step explanation:

Side Length CB;

Tan(32) = 22 / CB

Tan(32) * CB = 22

CB = 22 / Tan(32)

CB = 35.21

Side Length AC; (Now that we know the Length of AB and BC)

22² + 35.21² = AC²

484 + 1239.74 = AC²

1723.74 = AC²

[tex]\sqrt{1723.74}[/tex] = AC

41.52 = AC

Angle A (Since we know Angle B and Angle C)

Angle A + Angle B + Angle C = 180°

Angle A + 32° + 90° = 180

Angle A + 122 = 180

Angle A = 180 - 122

Angle A = 58°

Hope this helps!

Answer:

Sine Rule will apply here too

22/Sin32° = AC/sin90

AC = 22sin90/sin32

AC=41.52(To the nearest 100th)

Angles in a triangle =180

Angle A = 180 - 90 - 32

Angel A = 58°

BC/Sin58 = 22/sin32

BC = 22sin58/sin32

BC=35.21 (Nearest 100th).

Have a great day!

Please help me what is it

Answers

Answer:

13/14

Step-by-step explanation:

3/7 x 2/2 = 6/14

1/2 x 7/7 = 7/14

6/14 + 7/14 = 13/14

Answer:

1/14

Step-by-step explanation:

At age 20, William starts a career with a salary of $40,000 and a promise of a yearly raise of 2%. Approximately how much money will he make over 10 years?

Answers

Answer:

8759.78

Step-by-step explanation:

cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78

Approximately how much money will he make over 10 years is $8,759.78.

Using this formula

Amount=[Principal(1+rate)^t]- Principal

Where:

Principal=$40,000

Rate=2%

Time=10 years

Let plug in the formula

Amount=[$40,000×(1+0.02)^10]-$40,000

Amount=[$40,000×(1.02)^10]-$40,000

Amount=$48.759.776-$40,000

Amount=$8,759.776

Amount=$8,759.78 (Approximately)

Inconclusion approximately how much money will he make over 10 years is $8,759.78.

Learn more here:

https://brainly.com/question/7603664

Need help ASAP PLEASE DUE SOON!!!

Answers

Answer:

11

Step-by-step explanation:

all u need to do is to cube root 1331, because it is a cube. hope i helped.

What is the answer?????

Answers

Answer:

5/12

5 balloons were yellow out of the 12

which of the following will not have congruent diagonals

Answers

As diagonals are not perpendicular, it cannot be a square or rhombus (latter does not have congruent diagonals). Hence, quadrilateral is a rectangle.

You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?​

Answers

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

50 points HELP PLEASEEE



We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?

Answers

Answer:

radius: 78 height: 92

im so sorry if im wrong! i did math and everything!

Assume the radius is 5 and the height is 4.

We first need to find the volume of both the TP roll and the volume of the closet.

In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.

After solving, we get 314 as our answer.

Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.

We then get 139,968 as our answer.

The last thing we need to do is 139,968 ÷ 314.

The answer we get is 445.

So the answer to this question is: About 445 rolls of TP can fit into the closet.

Please help! This is urgent what is the answer

Answers

Answer:

Your answer would be 3.4

Step-by-step explanation:

I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!

Please mark brainly!

Answer:

Step-by-step explanation:

Hi how’s your day ? Would you like to help me ?

Answers

Answer:

Hi

Good

I think its the second but i'm not sure because there are no measurements

Good luck

Sullivan’s boss has 5 eyes total. Three of his eyes are smaller than the other two. What percentage of his eyes are larger?

Answers

Answer:

40%

Step-by-step explanation:

3/5 are small so we have to find 2/5 which is 40%

2/5=x/100

cross multiply

you'll get: 5x=200

divide and thats how u get 40 %

Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?

Answers

Answer:

One investor should make ABOUT $28714.29 while the other will make about $38285.71

Step-by-step explanation:

67000 x 3/7 =28714.285...

67000 x 4/7 = 38285.714....

What is 4^4 in algerbra mathematics?

Answers

Answer:

256

Step-by-step explanation:

4 to the exponent of 4 = 256

Divide 16,912 by 28
A. 604
B. 640
C. 6,040
D. 6,400

Answers

Answer:

604

Step-by-step explanation:

I did the math

Consider the geometric sequence 8,4,2,1,...

Answers

Answer:

Its A for the function that represents the geomertric sequence

PLZZZ HELPP MEEEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

question 1

[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]

question 2

[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]

State six ordered pairs for this function.
F(x) = x2 +14x+45

Answers

i only could look up three but here:
(
0
,
45
)
,
(
1
,
60
)
,
(
2
,
77
)

Ms Adams shares out 28 pencils between Niamh and Jack in the ratio 2:5 How many pencils does each child get?

Answers

Answer:

Niamh gets 8 and Jack gets 20

Step-by-step explanation:

Answer:

Niamh gets 8 and Jack gets 20!

How many degrees are in a third of a full turn?

Answers

Answer:

120 degrees

Step-by-step explanation:

There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.

Answer:

120⁰ is the answer. Hope it helps have a nice day also ;)

Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax

Answers

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

[tex]99.90 + 89.90 = 189.80[/tex]

Step 2: Find the sales tax of the result

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

Step 1: Convert 8% to fraction[tex]8\%= \frac{8}{100}[/tex]Simplify[tex]\frac{8}{100} = \frac{2}{25}[/tex]Step 2: Convert 189.80 to a fraction[tex]189.80 = \frac{189.8}{1}[/tex]Step 3: Set it up[tex]\frac{2}{25}\times \frac{189.8}{1}[/tex]Step 4: Cross divide[tex]189.80 \div 25 = 7.592\\2 \div 1 = 2[/tex]Step 5: Multiply the result[tex]7.592 \times 2 = 15.184[/tex]

Step 3: Add the result from the total cost of both items

[tex]189.80 + 15.184 = 204.98[/tex]

The total cost of the hats and boots including sales tax is 204.98 dollars

please help!!!

Solve (find x intercepts) using the quadratic formula

f(x)= -5x^+9x-4​ ​

Answers

Answer:

[tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

Step-by-step explanation:

A quadratic in the form [tex]ax^2+bx+c=y[/tex] crosses the [tex]x[/tex]-axis when [tex]y=0[/tex].

The first step is replacing [tex]f(x)[/tex] with [tex]y[/tex].

So: [tex]y= -5x^2+9x-4[/tex]. With the information above, we can find the [tex]x[/tex] intercepts by setting [tex]y = 0[/tex].

Therefore [tex]0=-5x^2+9x-4[/tex].

Now we can use the quadratic formula because it is in the form [tex]ax^2+bx+c=0[/tex].

Note the quadratic formula: [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a } = x[/tex].

To find the values of [tex]a[/tex],[tex]b[/tex] and [tex]c[/tex] we can compare the equation to the general equation.

Therefore: [tex]a=-5[/tex], [tex]b=9[/tex] and [tex]c=-4[/tex].

Now put these values into the quadratic formula:

[tex]\frac{-9\frac{+}{-}\sqrt{(9)^2-4(-5)(-4)} }{2(-5) } = x[/tex]

And simplify:

[tex]\frac{-9\frac{+}{-}\sqrt{81-80} }{-10 }[/tex] , [tex]\frac{-9\frac{+}{-}\sqrt{1} }{-10 }[/tex].

[tex]\sqrt{1} =1[/tex], therefore [tex]x = \frac{-9\frac{+}{-}1 }{-10 }[/tex]

Now we can have two values for [tex]x[/tex]. One when we take away the discriminant ([tex]b^2-4ac[/tex]) and one when we add it.

So [tex]x = \frac{-10}{-10} = 1[/tex]

or

[tex]x = \frac{-8}{-10} = 0.8[/tex]

Therefore [tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

may someone help me please and thank you, how do u find an equivalent fraction?? :)

Answers

Here are the ways that you can find an equivalent fraction:

Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

Answer:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

Step-by-step explanation:

The radius of a cylindrical water tank is 6.5 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
6.5 ft
ft
17 ft
X

Answers

Answer:

pi*36*10 = 1131 cubic feet

Step-by-step explanation:

MARK AS BRAINLEST!!

Step-by-step explanation:

pi*36*10= 1131 cubic feet

Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(

Answers

Answer:

28 of the student do not snowboard

Step-by-step explanation:

Geometry Find the area of the Triangle

Answers

Answer:

A = 148.92 sq in

Step-by-step explanation:

A = bh/2

A = 20.4(14.6) ÷ 2

A = 297.84 ÷ 2

A = 148.92 sq in

A is the correct answer

please help me



i’m so stuck

Answers

Answer:

2 cm

Step-by-step explanation:

V=πr2h = 20π

-π                -π

r2h = 20

h= 5

r2(5) = 20

/5         /5

r2=4

/2  /2

r=2cm

(my work is complicated, but trust me 2 cm is the answer)  

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 8x[/tex]

To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Hope it is helpful....

Can somebody help me out my grade are bad

Answers

Answer:

N-3

Step-by-step explanation:

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