Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months

Answers

Answer 1

Answer:

The answer is "[tex]f(x) = 3(1.05)x + 2[/tex]".

Step-by-step explanation:

She starts off with 3 hours with pop music.

Next month, she will have 3 hours she has had and + 3*0.05.

3hrs + 3*0.05hrs = 3*1.05 hrs

We add 2 hours of classical music to the 3 * 1.05 hours to achieve 3 * (1.05) hours + 2 hours of classical music.

Answer 2

Answer: f(x):2(0.05)^x+3


Related Questions

Glven: 3x < 9.
Choose the solution set.

Answers

Answer:

x<3

Step-by-step explanation:

We divide equation by 3. So we get x<3. You can think of it with logic, too.

Answer:

x<3

Step-by-step explanation:

3x< 9

Divide each side by 3

3x/3 <9/3

x < 3

There is an open circle at 3 and a line going to the left

What is the length of the altitude of the equilateral triangle below?

A. /240
B. 144
C. 12
D. 4
E. 12/3
F. 4/3

Answers

Answer:

its C  option which is 12

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity in either of the 2 right triangles

a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )

a = [tex]\sqrt{240}[/tex] → A

Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.

Answers

Answer:

Hello! the answer is CD is 17,0 (-2,19)

What is the estimate for 312+138+207

Answers

Answer:

657

Step-by-step explanation:

312 + 138 + 207

= 450 + 207

= 657

Answer:

600

Step-by-step explanation:

To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.

312: there is one in the tenths place, so it will stay as 300.

138: there is three in the tenths place, so it will stay as 100.

207: there is a zero in the tenths place, so it will stay as 200.

If you are doing it with the one's place, it is the same method. Either round up or down.

300 + 100 + 200 = 600

The answer is 600.

Guys please help me with this problem

Answers

Answer:

11. 5%

Step-by-step explanation:

1 + percent increase = 1.115

Percent increase = 1.115 - 1 = 0.115 = 11.5 /100 = 11.5 %

Answer:

Step-by-step explanation:

In the exponential form of an equation, the growth or decay rate is found inside the parenthesis. The standard form of an exponential equation is

[tex]y=a(1+r)^x[/tex] if it's growth, or

[tex]y=a(1-r)^x[/tex] if it's decay.

Looking at those equations, logically a growth equation is greater than 1, while a decay equation is less than 1. Obviously, our function is a growth.

To determine the rate of growth, we look closely at (1.115) inside the parenthesis. BECAUSE that is greater than 1, we KNOW it is growth, therefore, it follows the (1 + r) pattern. Let's break up our (1.115) so it models that pattern:

(1.115) --> (1 + .115) and since these are percentages in their decimal form, it follows that 1 is 100% and .115 is 11.5%. Our growth rate is 11.5%

Graph the inequality on the axes below.
-5x + 4y > -24

Answers

Step-by-step explanation:

-5x + 4y > -24

Plot and draw a graph that's it

x + y = −3
y = 2x + 2

Answers

Answer:

Step-by-step explanation:

x + y = −3

y = 2x + 2

Substitute the y value of the second equation into the top equation

x + 2x + 2 = - 3

3x + 2 = - 3

3x = -3 -2

3x = - 5

x = -5/3

x + y = - 3

-5/3 + y = - 3

y = -3 + 5/3

y = -1 1/3

HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!! it's on KHAN ACADEMY!!

Answers

Answer:

[tex]32[/tex]

Step-by-step explanation:

[tex]x=\dfrac{180-116}{2}=\dfrac{64}{2}=32[/tex]

Marking Brainliest. Can someone please how to do this with a fairly simple explanation? I'm not sure what to do.

Answers

Answer: See the diagram below

Explanation:

In the LS column, you'll have these steps

3x - 1

3*4 - 1

12 - 1

11

Effectively, we replaced x with 4 and then simplified using PEMDAS.

And in the RS column, you'll have these steps

x + 7

4 + 7

11

We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7

The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. whats the volume of each lollipop! ANSWER THIS ASAP

Answers

Answer:

7238.23

Step-by-step explanation:

v=4/3πrcubed

solve it and get the answer

Choose the inequality that represents the following graph.

Answers

Answer:

D)  x ≥ -2

Step-by-step explanation:

31/6=0.1875. Which calculation is NOT a way to find 9/16?

Answers

Answer:

A

or

the top right option

or

0.5 + 0.1875

Step-by-step explanation:

We know D or 9 divided by 16 is the same as 9/16, so just solve for that.

Then solve for the others and find the ones that doesn't equal 9/16.

I am on a time crunch please answer fast!

Answers

Answer:

Step-by-step explanation:

Function 2 has a slope of 1.1 while function 1 has a slope of just 1.

Function 2 is the answer
May I have brainliest?

The point (0,0) is a solution to which of these inequalities?

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. y - 7 < 2x - 6

Step-by-step explanation:

A. y + 7 < 2x + 6

0 + 7 < 2(0) + 6

7 < 0 + 6

7 < 6 —————- FALSE

B. y + 7 < 2x - 6

0 + 7 < 2(0) - 6

7 < 0 - 6

7 < -6 —————FALSE

C. y - 7 < 2x - 6

0 - 7 < 2(0) - 6

-7 < 0 - 6

-7 < -6 —————TRUE

D. y - 6 < 2x - 7

0 - 6 < 2(0) - 7

-6 < 0 - 7

-6 < -7 ————— FALSE

Helppppp pleaseeee anyoneeeee

Answers

Step-by-step explanation:

so, the time to answer questions has to be added to the speaking time to get the total time of the meeting.

the speaking time is constant (25 minutes).

q = 1 means t = 25 + q = 25 + 1 = 26

q = 2 means t = 25 + q = 25 + 2 = 27

q = 3 means t = 25 + q = 25 + 3 = 28

q = 8 means t = 25 + q = 25 + 8 = 33

J.W. is an artist and sells hisnpottery each year at a local Renaissance Festival. He keeps track of his sales and the 7.75% sales tax he collects by making notations in a ledger. Every evening he checks his records by counting the total money in his cash drawer. After a day of selling pottery, the cash totaled $1253.68. How much is from the sale of the merchandise and how much is sales tax? Round your answer to the nearest cent.

Answers

The amount from tax is $97.16 while the amount from sales is $1156.52

Tax is a compulsory sum levied on the sales of goods and services

Taxes increases the price of a good

The price of J.W.'s pottery would be 7.75% higher as a result of the tax

Amount of tax collected = percentage of sales tax  x total of cash

0.0775 x  $1253.68 = $97.16

Amount from the sale = total cash - taxes

$1253.68 - $97.16 = $1156.52

For more information on how to determine sales tax, check : https://brainly.com/question/19715580?referrer=searchResults

In 1991, the moose population in a park was measured to be 1900. By 1997, the population was measured again to be 3600. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t , the years since 1990. P = What does your model predict the moose population to be in 2007?

Answers

Answer:

Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)

The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.

Step-by-step explanation:

.

Choose the equation that represents the graph.

graph of a line passing through points negative 3 comma 0 and 0 comma 3

y = x − 3
y = −x + 3
y = −x − 3
y = x + 3

Answers

Answer:

Answer: Option D

Step-by-step explanation:

Hey there!

From the above question;

The line passes through (-3,0) and (0,3).

Use double point formula;

[tex]( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)[/tex]

Keep all values;

[tex](y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)[/tex]

Simplify it;

[tex]y = \frac{3}{3} (x + 3)[/tex]

Therefore, y = x+3.

Hope it helps!

Answer:

D

Step-by-step explanation:

For the following equation,find y when x = - 3. Then find x when y = 2. Y = 6x + 8

Answers

Answer:

When

when x = - 3 then y=. -10

when y = 2 then x =. -1

Find f(-2).....................................

Answers

Answer:

1/25

Step-by-step explanation:

f(x) = 5^x

Let x = -2

f(-2) = 5^-2

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

f(-2) = 1/5^2

      = 1/25

Answer:

[tex]\frac{1}{25} [/tex]

Step-by-step explanation:

[tex]f(x) = {5}^{x} \\ f( - 2) \\ f( - 2) = {5}^{ - 2} \\ = \frac{1}{ {5}^{2} } \\ = \frac{1}{25} [/tex]

Can someone help me I don't understand

Answers

Answer:

79.605

Step-by-step explanation:

sin 31° = 41/x

x = 41/sin 31°

x = 79.605

I think the answer is 79.605

Si Juana tiene dos perros y lo simbolizamos y 2p y le regalan un hato y lo simbolizamos por g como se representa en el leguaje algebraico.

A) 3P
B) 3G
C) 2PTG
D) 2P-G

Answers

your question makes absolutely no sense

Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6

Answers

Answer:

x6−24x5+240x4−1280x3+3840x2−6144x+4102

Step-by-step explanation:

I don't know if this is right or not but there ig?

A television was sold at a gain of 20% after allowing a discount of 20% on its marked price . Had it been sold after allowing 25% discount there would have been a gain of Rs.1450. Find the marked price of the television.​

Answers

Answer: The marked price is 40% more than the original price

40% - 25% = 15% or 1450

Marked price = 140%

140 × 1450 ÷ 15 = 13533. 33

Step-by-step explanation:

determine the equation of a parallel line to x=5

Answers

Answer:

x = constant ( other than 5)

Step-by-step explanation:

The slope of a line x=5 is  undefined

Parallel lines have the same slope

So any line that is vertical ( slope undefined) will be parallel

I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!! I’ll mark you brainliest

Answers

Answer:

(x+2)^2 + (y-15)^-1 = 64

Step-by-step explanation:

plz mark brainlist

(x + 15)^2 + (y + 1)^2 = 4
if it’s urgent, trust me on this. desmos doesn’t lie ;))

can i get some help please

Answers

Answer:

28.26

Step-by-step explanation:

We want to find the area of the circle shown.

We can calculate the area of a circle using the formula A = πr²

where r = radius

The circle shown has a given diameter of 6

We want the radius.

To convert diameter to radius simply divide the measure of the radius by 2

So radius = 6 / 2 = 3

Now to find the area we simply plug in the value of the radius into the area of a circle formula

Area of a circle: A = πr²

r = 3

( Note that the question says to use 3.14 for π )

So π = 3.14

* Substitute values *

A = (3.14)(3)²

3² = 9

(3.14)(9) = 28.26

A = 28.26

And we are done!

Help please............./..

Answers

Answer:

D

Step-by-step explanation:

=
-1
Use the distributive property with factoring to find the equivalent expression.
33x + 22y = 11 X + y

Answers

Answer:

22x + 21y = 0

Step-by-step explanation:

33x + 22y = 11x + y

Subtract y from both sides.

33x + 21y = 11x

Subtract 11x from both sides.

22x + 21y = 0

We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?

Answers

Answer:

12,24 etc

Step-by-step explanation:

4 and 6 both go into 12 evenly

4*3 = 12

6*2 = 12

12 is the least common denominator

We could also use 24

4*6 = 24

It is a common denominator, but not the least common denominator

We can use any multiple of 12

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