Wendy enjoys listening to hip hop and downloads music regularly from the internet. She already has four hours of hip hop in her collection. From the second month onward, the number of hours of hip hop music she downloads each month is nine percent greater than the number of hours of hip hop music she had downloaded the previous month. Which function best shows the total number of hours of hip hop music Wendy has in her collection f(x) after x months? f(x) = (1.09)x + 3 f(x) = 3(1.09)x f(x) = (1.09)x + 2 f(x) = (1.09)x - 2

Answers

Answer 1

This can be solved using a geometric sequence.
First term [tex]u_1=4[/tex] also, [tex]u_{n+1}=u_n+0.09u_n=1.09u_n[/tex].
Let x be the number of months, then the total number of hours can be computed like this:
[tex]f(x)=4\dfrac{1-1.09^x}{1-1.09}\\=44.4(1-1.09^x)[/tex]

Related Questions

Find the greatest common factor : 32a^3b^2, 44ab^3 and 40a^2b

Find the greatest common factor : 25^2q^3, 15p^2q^2 and 35pq^4

Answers

Answer
1) 4ab
2) 5pq²

Explanation
Greatest common factor is sometimes known as GCD (greatest common divisor). It means the greatest number that can divide a set of numbers.
For example, the GCD of 12 and 18 is 6.

Question 1
Find the GCF of 32a^3 b^3,44ab^3,and 40a^2 b. To do this you can factor out the common term.
32a^3 b^3,44ab^3,and 40a^2 b
Dividing every term by ab we shall have,
ab(32a^2 b^2,44b^2,and 40a)
Dividing again by 4,
4ab(8a^2 b^2,11b^2,and 10a)
Have no other common factor, the GCF = 4ab

Question 2
Find the GCF of 25p²q³,15p² q² and 35pq^4 . To do this you can factor out the common term.
25p²q³,15p² q² and 35pq^4
Dividing each term by 5,
5(5p²q^3, 3p²q² and 7pq^4)
Dividing again by pq2,
5pq² (5pq, 3p and 7q² )
There no been any other common divisor, the GCF = 5pq²

Answer:

Part A. 4ab

Part B. 5pq²

Step-by-step explanation:

Part A). In this part the given expressions are 32a³b², 44ab³, 40a²b

We have to find the greatest common factor of these expressions.

Factors of 32a³b² = 2×2×2×2×2×a×a×a×b×b

Factors of 44ab³ = 2×2×11×a×b×b×b

Factors of 40a²b = 2×2×2×5×a×a×b

So for the the greatest common factor we will choose the common factors (bold letters) of three expressions

GCF = 2×2×a×b = 4ab

Part B). The given expressions are 25p²q³, 15p²q² and [tex]35pq^{4}[/tex]

Factors of 25p²q³ = 5×5×p×p×q×q×q

Factors of 15p²q² = 3×5×p×p×q×q

Factors of [tex]35pq^{4}[/tex] = 5×7×p×q×q×q×q

Therefore greatest common factor will be = 5pq²

Please help and show work. 15 points.

Answers

the answer is D
the x satys the same, the Y reverses positive/negative

If PQRS is a parallelogram, what is the value of Y

Answers

To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent.

RQ = SP
1/4 y = 13

Now you will multiply the reciprocal of 1/4 on both sides.

4(1/4 y) = (13)4
y = 52.

So the answer is option C.

The value of y is equal to 52. The correct option is C.

What is a parallelogram?

A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.

To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent.

RQ = SP

1/4 y = 13

Now you will multiply the reciprocal of 1/4 on both sides.

4(1/4 y) = (13)4

y = 52.

Hence, the answer is option C.

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Point D is on segment BC. Segment BC measures 8x units in length.What is the length of segment BC?units

Answers

144 this is the answer im taking the test now

The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per day.
A) $60 per day
B) $30 per day
C) $90 per day
D) $15 per day

Answers

It increases by $30 per day.

The given graph shows the cost for renting a post hole digger from a local hardware store. We have to determine the rate of change or cost per day.

Let us consider any two points.

Let us consider (1,30) and (2,60)

We have to determine the rate of change which is basically termed as "slope".

Rate of change is expressed as a ratio between a change in one variable relative to a corresponding change in another variable.

Therefore, rate of change or cost per day =

Change in y [tex] \div [/tex] Change in x

= [tex] \frac{60-30}{2-1} [/tex]

= 30

Therefore, the rate of change or cost per day is $30 per day.

Factor completely.

y^2+6y+8

Answers

This is a quadratic expression, meaning it can be factored into two binomials each with the variable to the power of one. Knowing this, we can already deduce that the factorization would look something like this:

(y + ____)(y + ______)

The blanks equal the factors of the last term. The last term may have multiple pairs of factors, but you need to look at the middle term to find the correct pair. The sum of the pair of factors should equal the middle term. For instance, in this example 8 + 1 does not equal 6, even though it is a factor pair of 8. It is easier to grasp the answer if you name all the factor pairs and work from them. With practice, factor pairs will come easier. In this case, the factor pair is 4 and 2.

4x2 = 8 and 4 + 2 = 8.

Therefore, (y + 2)(y + 4) = y^2 + 6y + 8

Final answer:

To factor the expression [tex]y^2+6y+8[/tex] completely, we use the method of factoring binomials. The expression can be factored as (y + 2)(y + 4).

Explanation:

To factor the expression y2 + 6y + 8 completely, we need to find two binomials that multiply together to give us the original expression. Since the coefficient of the y2 term is 1, we know that the binomials will take the form (y + a)(y + b). To find the values of a and b, we need to find two numbers that add up to 6 (the coefficient of the y term) and multiply to give 8 (the constant term).

The numbers that satisfy these conditions are 2 and 4, because 2 + 4 = 6 and 2 × 4 = 8. So, we can factor the expression as (y + 2)(y + 4).

Calculate the difference 12.0875 – 7.50 using significant digits.

A. 4.5
B. 4.587
C. 4.59
D. 4.6

Answers

the answer is B, 4.5875.

Answer:

The answer should be C.4.59.

Which step will get you closest to the solution of this equation? 5⋅(x−2)=7

Answers

Distribute the 5 with all everything In the parenthesis and It should be: 5x-10=7. i will hope this help

2(3x+4)-5(1-2x)=7(2x-3)+12 in stages

Answers

Stage 1: SIMPLIFY
6x+8-5+10x = 14x - 21 + 12

Stage 2: COMBINE LIKE TERMS
16x + 3 = 14x - 9

Stage 3: SOLVE
2x = -12
x = -6

Hope this helps!

I guess you wan to find the value of x
LHS= 2(3x+4)-5(1-2x) = 6x+8 -(5-10x)
= 6x+8+10x-5 =16x +3
RHS= 7(2x-3)+12 = 14x-21+12=14x -9
since LHS=RHS
16x+3=14x-9 (by subtracting 14x from both sides)
2x +3 = -9 (by subtracting 3 from both sides)
2x =-12 (divide both sides by 2)
x = -6

Note:
please describe your problem with adding comments on your requirements.

PLEASE HELP ASAP!!!!!!!!!

Answers

[tex]\begin{cases}y=-3x+8\\y=-5x-2\end{cases}\\\\\\-5x-2=-3x+8\\\\-5x+3x=8+2\\\\-2x=10\qquad|:(-2)\\\\\boxed{x=-5}\\\\\\y=-3x+8\\\\y=-3\cdot(-5)+8\\\\y=15+8\\\\\boxed{y=23}\\\\\\ \begin{cases}x=-5\\y=23\end{cases}[/tex]

Answer C)

helppppppppppppppppppppppppppppppppppppp

Answers

Answer:
a < -2

Explanation:
To solve the inequality, we will need to isolate the a on one side of the inequality as follows:
3 - 2a > 7

1- subtract 3 from both sides:
3 - 2a - 3 > 7 - 3
-2a > 4

2- divide both sides by -2. Remember that when dividing by a negative number, we flip the inequality sign.
-2a / -2 > 4 / -2
a < -2

Hope this helps :)

Which of the following pairs of organisms compete with each other for food?

A. squirrels and owls

B. mice and owls

C. rabbits and green plants

D. mice and rabbits

Answers

The answer would be D. Mice and Rabbits. Hope it helps! :)

its gotta be D. mice and rabbits, hope this helps. :))

Can someone help me?

Answers

check the picture below.

make sure your calculator is in Degree mode.

PLEASE HELP MATH WILL MARK BRAINLY ASAP PICTURE ATTACHED

Answers

The sum of all angles of a pentagon is 540°, because you can draw interior lines to divide it into 3 triangles which each have angles that sum to 180, and 3 times 180 is 540.

So for x we have 540 - 83 - 89 - 119 - 90 = 159° left

PLEASE HELP ME OUT PLEASE!!
EXPLAIN IT PLEASE SO I CAN UNDERSTAND IT BETTER
THX

Answers

The answer is -47-10w=-9w-40-3w bc the equation above equals 7/2 and this equation does too first combine like terms -47-10w=(-9w+3w)+40 which gives you -10w-47=-12w-40 then Add 12w to both sides which gives you 2w-47=-40 and then Add 47 to both sides and gives you 2w=7 and then divide 2 in both sides and gives you 7/2

Someone Please Help!!!
Find the radian measure of an angle of -280 degrees

Answers

Answer: -4.88691778Solution:1.Write down the number of degrees you want to convert to radians Given Degree = -280° The formula to convert degrees to radian measure is:Radian = degree x π/180 2. Multiply the number of degrees by π/180. Think of it like multiplying two fractions: the first fraction has the number of degrees in the numerator and "1" in the denominator, and the second fraction has π in the numerator and 180 in the denominator. -280 x π/180 = -280π/1803. Find the largest number that can evenly divide into the numerator and denominator of each fraction and use it to simplify each fraction. The largest number for 280 is 20.-280 x π/180 = -280π/180 ÷ 20/20 = -14π /9 4. Then multiply the numerator by 3.14159 because pi or π is equivalent to 3.14159, -14x 3.14159= -43.982265. To get the radian measure, we will divide -43.98226 by 9. -43.98226/9= -4.88691778

Answer:-14pi/9

Step-by-step explanation:

I need to write these description into the new function but I keep getting the wrong thing -.-

1.The function f(x)=(1/2)^x is translated 4 units right, reflected across the x-axis, and vertically stretched by a factor of 1.5

2.The function f(x)=ln x is translated 3 units left, horizontally compressed by a factor of 1/4 and translated 0.5 units down.

3. The function f(x)=e^x is horizontally stretched by a factor of 3, reflected across the y-axis, and translated 1 unit right.

Answers

Since you're studying this stuff, you know that
.. translation right by k units: f(x) ⇒ f(x-k)
.. translation up by k units: f(x) ⇒ f(x) +k
.. horizontal stretch by a factor of k: f(x) ⇒ f(x/k) . . . . same as compressed by 1/k
.. vertical stretch by a factor of k: f(x) ⇒ k*f(x)
.. reflection across the x-axis: f(x) ⇒ -f(x)
.. reflection across the y-axis: f(x) ⇒ f(-x)
The sequence in which these are done is important.

1. f(x) = (1/2)^x
.. translated 4 units right: f(x) = (1/2)^(x -4)
.. reflected across the x-axis: f(x) = -(1/2)^(x -4)
.. vertically stretched by a factor of 1.5: f(x = -1.5(1/2)^(x -4)

2. f(x) = ln(x)
.. translated 3 units left: f(x) = ln(x +3)
.. horizontally compressed by a factor of 1/4: f(x) = ln(x/4 +3)
.. translated down 0.5 units: f(x) = -0.5 +ln(x/4 +3)

3. f(x) = e^x
.. horizontally stretched by a factor of 3: f(x) = e^(x/3)
.. reflected across the y-axis: f(x) = e^(-x/3)
.. translated 1 unit right: f(x) = e^(-(x -1)/3)

Final answer:

The transformed equations for each of your base functions according to given changes are f(x) = -1.5*(1/2)ˣ⁻⁴, f(x) = ln(4×(x+3))-0.5, and f(x)=e⁻³×(x-1) respectively.

Explanation:

1. The transformed function for your first one, namely f(x)= (1/2)ˣ, after being translated 4 units right, reflected across the x-axis, and vertically stretched by a factor of 1.5 would be f(x) = -1.5×(1/2)⁽ˣ⁻⁴⁾.

2. Your second function, f(x) = ln(x), after being translated 3 units left, horizontally compressed by a factor of 1/4, and translated 0.5 units down becomes:
f(x) = ln(4×(x+3))-0.5.

3. Your final function, f(x)=e^x, when it's horizontally stretched by a factor of 3, reflected across the y-axis, and translated 1 unit right, would transform into: f(x)=e⁻³×(x-1).

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What is 22+6\3= because i have it in my homework i need do know

Answers

the answer is 24. to get this answer you would follow PEMDAS which means you divide first.

6 ÷ 3 =2 , so 22 + 2= 24

hopefully this helps

The answer you are looking for is 24

Jesse wants to write a function to represent the graph. He says that the period of the graph is triple that of sin x and that the equation of the graph is f(x)=3sin x. Why is he incorrect?
a. The period of the graph is twice that of sin x.
b. The frequency of the graph is triple that of sin x.
c. The equation of the graph should be f(x)=sin x/3.
d. The equation of the graph should be f(x)=3sin x.

Answers

Answer C

the value of sin(pi/2) =1

the value of sin(pi) = 0

according to the graph sin(3pi/2) = 1 and sin(3pi) =0

so the correct equation for the graph must be f(x) = sin(x/3)

Jesse is incorrect, because the equation of the graph should be [tex]f(x) = \sin(\frac{x}{3})[/tex]

From the question, we understand that the period is 3 times sin x.

The above claim is wrong.

Given that, the period (B) is 3.

i.e B = 3

The function is represented as:

[tex]f(x) = \sin(\frac{2\pi}{B})[/tex]

So, we have:

[tex]f(x) = \sin(\frac{2\pi}{3})[/tex]

Represent [tex]2\pi[/tex] with x

[tex]f(x) = \sin(\frac{x}{3})[/tex]

Hence, the equation of the graph should be [tex]f(x) = \sin(\frac{x}{3})[/tex]

Answers

question incomplete. If the limit is 250k. The Answer is 230k bank A, 240K bank b and 220k bank c.

Answer:

D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C

Step-by-step explanation:

Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?

A. $200,000 in bank A, $200,000 in bank B, $290,000 in bank C

B. $200,000 in bank A, $220,000 in bank B, $270,000 in bank C

C. $230,000 in bank A, $260,000 in bank B, $200,000 in bank C

D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C

please help I will mark brainlist if correct

Answers

The admission fee at a fair is $2.00 for children and $4.00 for adults.

On Saturday 2,500 people entered the fair and $7,000.00 were collected.

How many children and how many adults attended? Give your answer, using x for children, y for adults.

Form of: x =, and y =

Let K = no. of children

Let A = no. of adults

2500 people mean

Kids + Adults

K + A = 2500

K = 2500 – A

2K + 4A = 7000

K + 2A = 3500

(2500 – A) + 2A = 3500

A = 3500 – 2500

(A = 1000, adults)

K = 2500 – A

K = 2500 -1000

(K = 1500, Kids)

CHECK:

1500*2 = $3000

1000*4 = $4000

(Total = $7000, people.).

Hope this helps:

Khan academy how to solve equations with fractions and mixed numbers

Answers

Generally, you are told to approach these by "clearing fractions". That is, you generally multiply the equations by the least common denominator so all fractions and mixed numbers become integers.

Alternatively, you can simply do the arithmetic using the numbers given. You learned a long time ago how to add, subtract, multiply, and divide mixed numbers and fractions. Do these operations as necessary to solve the equations.

True or false the fraction 9/21 is in lowest terms

Answers

This is false.

9/12 in it's lowest terms is 3/7.

very simple false becuse the lowest form is 3\7

3\7 in decimal is 0.42857142 or 0.43

3\7 in percent 42.857143% or 43 %

use math way . c o m

jesse uses 19 beads to decorate each picture frame. In all, Jesse used 133 beads. How many picture frames did Jesse make?

Answers

use division: 133/19 = 7 picutre frames

Answer:

use division: 133/19 = 7 picutre frames

Step-by-step explanation:

4x^3+2x^2+3x+4 divided by x+4

Answers

By synthetic division
= 4x^2 -14x +59 -232/(x+4)

The remainder is f(-4) = -232.

Divide: 4x^3+2x^2+3x+4/x+4

Simplify: 4x^4+2x^3+3x^2+4x+4/x

A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? A. start fraction 1 over 6 end fraction B. start fraction 1 over 12 end fraction C. start fraction 2 over 3 end fraction D. one-fourth

Answers

Answer:

i got 1/4

Step-by-step explanation:

me sorry in wrong

By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
AND NO, it is not 33, 33.3, 66, or 66.6 percent.

Answers

Let N be the numerator, D be the denominator
[tex] \frac{N}{D} [/tex]

if its numerator is decreased by 50%
[tex] N - \frac{50}{100}N [/tex] ==> (this will be the numerator part)

if its denominator is decreased by 25%
[tex] D - \frac{25}{100}D [/tex] ==> (this will be the denominator part)

I try to separate them out, so it's easier to see the problem.

[tex] N - \frac{50}{100}N = \frac{100N}{100} - \frac{50N}{100} = \frac{50N}{100} [/tex]

[tex] D - \frac{25}{100}D = \frac{100D}{100} - \frac{25D}{100} = \frac{75D}{100}[/tex]

[tex] \frac{\frac{50N}{100}}{\frac{75D}{100}} = \frac{50N}{100} * \frac{100}{75D}[/tex]

[tex] \frac{50N}{75D} = \frac{2}{3}(\frac{N}{D})[/tex] by this, you can understand that
[tex] \frac{2}{3}(\frac{N}{D})[/tex] as 66.6% of N/D because 2/3 is 0.666666.... The answer should be 66.7% if you round them up.

The. system shown is ____.
consistent
equivalent
inconsistent

Answers

Answer:

inconsistant mi boii

Step-by-step explanation:

The given system of equations is inconsistent.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the graph of three lines as shown.

A system of equations is called an inconsistent system of equations if there is no solution. Since, the given lines do not intersect at one common point, hence the given system of equations is inconsistent.

Therefore, the given system of equations is inconsistent.

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(Please help~! 20 Points~!)
The solution to 8x = 32 is x = ___.
3
4
5
6

Answers

8x=32
x=
[tex] \frac{32}{8} [/tex]

=4

8x = 8 x 4 because 8 x 3 = 24, 8 x 5 = 40, and 8 x 6 = 48, so the only reasonable answer would be b. 4.

Brainliest please? I am trying to move up a rank!

Factor completely 2x3 + x2 - 18x - 9

A. (x2-9)(2x+1)
B. (x-3)(x+3)(2x-1)
C. (x-3)(x+3)(2x+1)
D. (2x-3)(2x+3)(x-1)

Answers

Factor the following:
2 x^3 + x^2 - 18 x - 9

Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)

Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)

x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)

Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):

Answer: (x - 3) (x + 3) (2 x + 1) thus the Answer is C.

Final answer:

The factorization of the given polynomial 2x3 + x2 - 18x - 9 is (x-3)(x+3)(2x+1) and we achieve this by factoring common terms and applying the formula for difference of squares.

Explanation:

To factor the polynomial 2x3 + x2 - 18x - 9, you would first tie together similar terms (if any), then check for any common factors in all the terms. In this case, we can factor this expression in two steps:

First step: Looking for common factors, we can rewrite the expression as x2(2x) - 9(2x) + x2 - 9.Second step: Then, factor using the formula for the difference of squares and you will find that the fully factored expression is (x-3)(x+3)(2x+1).

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