Tien works in a music store and earns 10.4% commission on each sale. If Tien sells a guitar and earns $142.25, what is the price of the guitar? Round your answer to the nearest cent.
$1,367.79
$14.79
$13.68
$1,492.79

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Explanation:

We're given f(1) = 3.2 which says the first term of the sequence is 3.2

To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...

f(x+1) = 2.5*f(x)

f(1+1) = 2.5*f(1)

f(2) = 2.5*f(1)

f(2) = 2.5*3.2

f(2) = 8

The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.

The third term is handled pretty much in a similar fashion

third term = 2.5*(second term)

third term = 2.5*8

third term = 20

Lastly, the fourth term f(4) is...

f(x+1) = 2.5*f(x)

f(3+1) = 2.5*f(3)

f(4) = 2.5*f(3)

f(4) = 2.5*20

f(4) = 50

The fourth term is 50.

The first four terms are: 3.2, 8, 20, 50

Answer:

B)16(2+3) is equivalent to 32+48

[tex] \: \: \: \: \: \: \: [/tex]

GCF OF 48

The greatest common factor of 8, 28, and 48 is 4.

The largest common factor out of all the numbers in the given set is known as Greatest Common Factor.

Factors of 8, [tex]8=2\times 2\times 2[/tex]

Factors of 28, [tex]28=2\times 2\times 7[/tex]

Factors of 48, [tex]48=2\times 2\times 2\times 2\times 3[/tex]

The common factors in the above set of numbers are 2and 2.

So, the Greatest Common Factor of 8, 28, and 48 is  [tex]2\times 2=4[/tex].

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Ok, so you didn't put any picture to go along with the question but hey, thats ok because I can still help you.

In order for a graph to be positive, it has to be leaning to the right.

In order for a graph to be negative, it has to be leaning to the left.

In order for a graph to be zero, it has to be horizontal.

In order for a graph to be undefined, it has to be completely vertical.

You can look at the picture below if you still need help.

P.S. The picture with the yellow lines is the ones that are zero and undefined. The yellow line on the left is undefined, the yellow line on the right is zero.

Answer:

y = 5 + 7x

Step-by-step explanation:

So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.

So the total cost Y equal the constant 5 and 7x

Y = 5 + 7x

We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"

For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have two events:

Let's find the probabilities of each one of these.

She gets 9 points if the sum of the two dice is equal to 8 or 12.

Each dice has 6 outcomes.

Then a combination of two dice has a total of 6*6 = 36 outcomes.

The outcomes that add to 8 or 12 are:

dice 1   dice 2  sum

2           6            8

3           5            8

4           4            8

5          6             8

6           2            8

6           6            12

So 6 out of the 36 outcomes, then the probability of this event is:

p₁ = 6/36 = 1/6

And the other event is for all the other outcomes, so the probability is just:

p₂ = 5/6

Then the expected value is:

EV = (+ 9 points)*(1/6) + (-2 points)*(5/6)  = -1/6 points.

So the correct option is negative one-sixth.

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Answer:

-1/6

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Angle S is 6.75

Angle R is 6.8

Angle Q is 10.54

As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of times the spinner spun = 75

Outcomes     Frequency

A                          20

B                           11

C                           14

D                           30

We need to find the experimental probability of spinning an "A" :

so, Probability of spinning an A is given by

Probability of getting an A is 0.27.

Hence, Option 'c' is correct

please mark me brainiest i am almost an expert!!

Answer:

No solution

Step-by-step explanation:

Since both x's are positive, there's no way to put to x on either side, because when you transfer sides, you add/subtract the opposite, so there can't be a value for x

Answer:

I would say 5.2 .

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

27.2 ft

Step-by-step explanation:

similar triangles

51/90=x/48

x=27.2 ft

Answer:

you should take notes

Step-by-step explanation:

why you should know this your teacher probally already taught you this already you should go back and take notes = )

Answer:

I think 5.45?  Sorry, not the best at math

Step-by-step explanation:

if you get a 55% discount off of 0.99 cents you pay 0.45 $

you're saving 0.54 $

Answer:

40°

Step-by-step explanation:

Both angles are opposites so together they equal 180.

180 - 140 = 40

I hope this helps!!

The measure of angle IJM is 40°.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given are two parallel lines IK and LN.

From the figure, OH is a transversal line that intersects the given parallel lines.

We have m ∠IJH = 140°

We have to calculate the measure of ∠IJM.

Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.

m ∠IJH + m ∠IJM = 180°

140° + m ∠IJM = 180°

m ∠IJM = 180° - 140°

m ∠IJM = 40°

Hence 40° is the measure of angle IJM.

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Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets

[tex]R_0 = \left\{(x, y) : 0 \le x \le \pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

[tex]R_1 = \left\{(x, y) : 2\pi \le x \le 3\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

[tex]R_2 = \left\{(x, y) : 4\pi \le x \le 5\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

and so on, with

[tex]R_k = \left\{(x, y) : 2k\pi \le x \le (2k+1)\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]

for natural number k.

The areas themselves are then given by the integral

[tex]S_k = \displaystyle \int_{2k\pi}^{(2k+1)\pi} \int_0^{e^{-x}\sin(x)} dy \, dx = \int_{2k\pi}^{(2k+1)\pi} e^{-x}\sin(x) \, dx[/tex]

Integrate by parts twice. Take

[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]

[tex]dv = \sin(x) \, dx \implies v = -\cos(x)[/tex]

so that

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - \int e^{-x}\cos(x) \, dx[/tex]

then

[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]

[tex]dv = \cos(x) \, dx \implies v = \sin(x)[/tex]

so that

[tex]\displaystyle \int e^{-x}\cos(x) \, dx = e^{-x}\sin(x) + \int e^{-x}\sin(x) \, dx[/tex]

Overall, we find

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - e^{-x}\sin(x) - \int e^{-x}\sin(x) \, dx[/tex]

or

[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -\frac12 e^{-x} (\cos(x)+\sin(x)) + C[/tex]

Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be

[tex]\displaystyle S_k = -\frac12 e^{-(2k+1)\pi} (\cos((2k+1)\pi)+\sin((2k+1)\pi)) + \frac12 e^{-2k\pi} (\cos(2k\pi)+\sin(2k\pi))[/tex]

[tex]\displaystyle S_k = \frac12 e^{-2k\pi} \cos(2k\pi) \left(e^{-\pi} + 1\right)[/tex]

[tex]\displaystyle S_k = \frac{e^{-\pi}+1}2 e^{-2k\pi}[/tex]

Since [tex]\left|e^{-2\pi}\right|<1[/tex], the sum we want is a convergent geometric sum. As n goes to ∞, we have

[tex]\displaystyle \lim_{n\to\infty} \sum_{k=0}^n S_k = \frac{e^{-\pi}+1}2 \cdot \frac1{1 - e^{-2\pi}} = \boxed{\frac{e^\pi+1}{4\sinh(\pi)}}[/tex]

Answer:

7 7/8 cups of flour

Step-by-step explanation:

2.25 times 3.5 equals 7.875

Answer: The answer is B.

Explanation: The explanation is in the image.

Answer:

The correct answer is B. y=11 sqrt x+0.3-4.3.

Step-by-step explanation:

I got it right on the Edmentum test.

Answer:

13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

 im always here to help...

Answer:

Step-by-step explanation:         The four numbers:  - 34, -0.4, 0.4, 3.4

so if you look at it it  The answer is -34

Answer:

-34

Step-by-step explanation:

this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers

Answer:

 total distance of Felicia's training run

 first two hours  x  = 2....so we have

[ 13 + 6(2 - 2)  ]  / 2  =  13 / 2  =  distance / rate  =  = 6.5  mph ⇒  "c"

 distance covered in 4 hrs  =

 [13 + 6( 4 - 2) ]  =  13 + 6(2)  =  13 + 12  =  25 miles

 But  she ran  13 miles the first two hours

 So....she must run 12 miles the last two hours   ⇒   "c"

Answer:

30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)

flour: 135g*5=675g

baking powder: 1 tsp*5=5 teaspoons

sugar: 2 tbsps*5=10 tablespoons

milk: 130ml*5=650ml

eggs: 1 egg*5=5 eggs

oil: 2 tbsps*5=10 tablespoons

Answer:

N<6

Step-by-step explanation:

Add 11 to both sides then multiply by 2

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°