A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available.​

Answers

Answer 1

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.


Related Questions

What is the rate of change of the function described in
the table?
A. 12/5

B. 5

C. 25/2

D. 25

Answers

Answer:

B. 5

Step-by-step explanation:

This table does not describe a linear relationship. This is because the table does not have a constant rate of change; between the first two points, the function changes by

(1/2 - 1/10)/(0--1) = (5/10 - 1/10)/(1) = 5/10 - 1/10 = 4/10 = 2/5

Between the second two points, the function changes by

(5/2-1/2)/(1-0) = (4/2)/1 = 4/2 = 2

Comparing the first two y-coordinates, we have 1/10 and 1/2 = 5/10. This is the result of multiplication by 5.

Comparing the second two y-coordinates, we have 1/2 and 5/2. This is the result of multiplication by 5.

Comparing the rest of the y-coordinates, we can see that each time, the y-coordinate is multiplied by 5. This means the rate of change is 5.

A swimming pool measures 25.8 meters by 11.9 meters. It is filled with water to a depth of 1.1 meters. The pool is emptied by a tube that emits 29.8 liters per second. Estimate the approximate time required to empty the pool

Answers

Answer:

11 Seconds

Step-by-step explanation:

Swimming pool volume:

25.8 × 11.9 × 1.1 = 337.722

Time to empty pool:

337.722 ÷ 29.8 = 11.3329530201 ≈ 11 seconds

Find the volume of the cylinder height 10 in base radius 3 in

Answers

Answer: 282.60in³

Step-by-step explanation:

When calculating the volume of a cylinder, the formula to use is:

= πr²h

where,

π = 3.14

r = radius = 3 in

h = height = 10 in

Volume = πr²h

= 3.14 × 3² × 10

= 282.60

Therefore, the volume of the cylinder is 282.60in³

Please help thanks!!!

For question 3, you don’t need to calculate it. Please explain the steps of how you would work it out.

Answers

Answer:

30 or 780 is your answer for the first one. i dont know how to work out the answer for the 2 one im sorry :(

Step-by-step explanation:

13+12+5 = 30

13 x 12 x 5 = 780

I would go for 780

it seems more like to be the answer

daniel bought 6 shirts for $28.93 if he paid the same price for each shirt how much would he spend if he bought 15 shirts?

Answers

Answer:

i dont know do it yourself chump

Step-by-step explanation:

Plz help Major grade 6th grade

Answers

Answer:

A. 300h = 900

Step-by-step explanation:

V = lwh

900 = (25)(12)h

900 = 300h

300h = 900

I need help on the circled problem please

Answers

Answer:

There would be infinite solutions because the equations are exactly the same.

I hope this answered your question

If a car can travel 78 miles using 3 gallons of gas, what is the unit rate?

Answers

Answer:

26

Step-by-step explanation:

Well since a car can travel 78 miles Using 3 gallons

78/3=26

26 miles for each gallon

Answer:

26

Step-by-step explanation:

The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like [tex]78=3x[/tex]. Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.

Victoria ate 4\16 of a small pizza for lunch. How is this fraction written as a decimal?​

Answers

Answer:

0.25

Step-by-step explanation:

4/16 --> 1/4 and 1/4 = 0.25

Which inequality is true if p = 3.4 ?

Answers

Answer:

the shape isnt angled thats what it means

Step-by-step explanation:

What is the answer to this question?

Answers

Answer:

what should i answer?

Step-by-step explanation:

Distribute
3x(5x-5)

a) 12x^2+8x
b) 15x^2+10x
c) 12x^2-9x
d) 15x^2-15x​

Answers

Answer:

d

Step-by-step explanation:

3x times 5x equals 15x^2

3x times -5 equals -15x

---> 15x^2 - 15x

Three friends ate 3/4 of a pizza. The 3 friends ate
equal amounts. How much of the pizza did each
friend eat?

Answers

Answer:

each friend ate 1/4 of pizza

Step-by-step explanation:

3/4 ÷ 3

= 1/4

Simplify the ratio 7:21.
(OLD HW!!)
(TIPS FOR ALGEBRA TO PLS ^^)

Answers

Answer:

Simplified : 1:3

Step-by-step explanation:

7:21 is equal to 1:3

Also, for algebra tips. Algebra is literally practice. There aren't too many complicated equations or anything until you get into a higher math class so practicing problems is best.

Answer:

7:21 = 1:3

Tips for algebra...

just know the basics and related rules or theorams and practice as much as u can

good day mate

You have an annual salary of $85,063. Your monthly expenses include a $1,555 mortgage payment, a $274 car lease payment, $139 in minimum credit card payments, and a $179 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE

Answers

Answer:

DTI ratio in percentage = 30.29%

Step-by-step explanation:

Annual salary = $85,063

This means that gross monthly pay = 85063/12 = $7088.58

Now,

Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147

Debt to income ratio = (2147/7088.58) × 100% = 30.29%

help pleaseee, no links!

Answers

A right triangle follows the Pythagorean theorem: a^2 + b^2 = c^2

Let’s work out the problems
1. 20^2 + 72^2 = 75^2
40 + 5184 = 5625
False

2. 40^2 + 74^2 = 85^2
1600 + 5476 = 7225
False

3. 45^2 + 60^2 = 75^2
2025 + 3600 = 5625
True

The correct answer is (45, 60, 75)

He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation

2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more

Answers

Answer:

I think you should go with 3

Please help me with this I am stuck

Answers

i’m stuck in the dryer step bro

Answer:

450 cm ^3

Step-by-step explanation:

pls pls pls, I beg you to how to put a link I want you to answer this correctly without a link please answer this correctly I beg you

Answers

Answer:

1. −51,−41,−38,13,41,50

2. $140 each pair of shoes costs $20 (80 divided by 4). 20 times 7 is 140

3. 5x +6y+1

4. 5+15(n) or using instead of using n for hours use h so, 5+15(h)

5. cylinder

Answer/Step-by-step explanation:

-51, -41, -38, 13, 41, 50

140

5x + 6y + 1

5 + 15h

Cube.

help plsss. marking brainliest

Answers

Answer:

1. 3

2. 1

Step-by-step explanation:

Answer:

1.3. now mark brainlieet plsssssssssss like you said you would

The price of an mp3 player is reduced by 60%. The expression c – 0.6c represents the sale price. Which represents an equivalent expression to determine the sale price?

Answers

Answer:

0.4c

Step-by-step explanation:

Given that :

Price of mp3 is reduced by 60%

Let initial price of mp3 = c

Discount on price = 60% = 0.6

Discounted price = initial price - discount on price

Discounted price = c - 0.6c

Discounted price = 0.4c

PLEASE HELP URGENT!! DONT LINK FILES!!! HELP!!



The face of triangular-shaped guitar has an area of 52 square inches and the height of 13 inches. What is the length
of the guitar?

Answers

Answer:

Base = 8

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

The values of the area and the height are given in order to find the length.

A= 52 in^2

Height= 13

First we have to find the base or the length. Using the values above we can set up the equation as:

1. 52= (0.5)(13)(b)

2. 52/0.5(13)

3. b=8

Answer: The length of the guitar or the base would be 8 inches.

I hope this helps and for future problems regarding this topic use the formula above!!

Formula: 0.5 x Base x Height

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

Answers

Answer:

Step-by-step explanation:

This is a quartic  equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

any one solve this quickly as possible urgent

Answers

Answer:

True

Step-by-step explanation:

You have 64 grams of a radioactive kind of strontium. If its half-life is 6 hours, how much will be left after 3 hours?

Answers

Answer: 48 grams

Step-by-step explanation:

The half-life of an element refers to the amount of time that it takes for half of it to decay.

For instance, if the half life is 2 hours and the element weighs 12 g, the element will only weigh 6g after 2 hours.

The half-life of the above is 6 hours, in 3 hours therefore, it would only have lost of the half that it would have lost in 3 hours which means it would have lost only a quarter.

= 64 * ( 1 - 1/4)

= 48 grams

Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m): r = m + 5 r = 4m – 10 Which is the correct method to find Rose's and Milton's ages? Solve m + 5 = 4m – 10 to find the value of m. Solve r + 5 = 4r – 10 to find the value of m. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.

Answers

Answer:

It’s B

Step-by-step explanation:

I did this before and it’s B good luck

fill in the blank to make the statement true.

1.( )+4 506-21 000=1 001


2.698-( )+711=1 388


3.109 006-( )-66 666=23 124


some questions I have already answered only that question make me confused​

Answers

Here it is!
U just need to exchange the white (blank) for x and solve.

SURFACE AREA!!
can someone please help me get the answer on these two I’m stuck

Answers

Answer:

96 i think :)

Step-by-step explanation:

15x4=60

6x6=36

60+36=96

I really need help please!!!!!

Answers

Step-by-step explanation:

area of a quadrilateral is b x h

if the base is 7 the height is x and the area is 63 then:

7x=63

divide both sides by 7

7/7x=63/7

x=9

Hope that helps :)

3. if u get this right i’ll give u brainliest

Answers

Answer:

(-3,2)

Step-by-step explanation:

3/4 of eight is six so go to two and then find the x, as x wasn't on the numbers it is not a multiple of two, so three was the closest number

may be wrong

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