The height of a single car on a Ferris wheel is modeled by a cosine function.

The car completes 4 whole rotations in a time period of 27 minutes.

Write a function rule that could model this situation?

The amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

Cost of two shirts originally is $28.99 and $30.29

30% is off on each of them, so we get:

New price of each shirt = Old price of each shirt - 30% of old price of each shirt

New price of each shirt = [tex]28.99 - \dfrac{28.99}{100} \times 30[/tex] and [tex]30.29- \dfrac{30.29}{100} \times 30[/tex]

This sums up to $41.496

Now, at this price, there'd be application of 10% additional discount.

That will make the new price as:

[tex]41.496 - \dfrac{41.496}{100} \times 10 =37.3464[/tex]

Now, on this price, there'd be applied 6% sales tax

So, the amount he paid for 2 shirts = discounted price + 6% tax on discounted amount

= [tex]37.3464 + \dfrac{37.3464}{100} \times 6 \approx 39.59 \: \rm dollars[/tex]

Thus, the amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

6x-4z+255

Step-by-step explanation:

6x+32-(-222+4z-1)
-(-222+4z-1)=-4z+233
6x-4z+32+233
6x-4z+255

Answer:

1)8293

2)8378

srry thts all i could answer :/

Step-by-step explanation:

Answer:

$33012

Step-by-step explanation:

Total Monthly Budget= $ 2751

Total Yearly Budget=2751×12=$33012

Answer:

Option 2 Step-by-step explanation: Option 1: $68.85 Option 2: $68.80 Option 3: $70.9 Option 4: $71.81  More

Answer:

Below.

Step-by-step explanation:

The Domain is All Real x.

The minimum value of f(x) is -9, so:

the range is f(x) ≥ -9.

Answer:

A: (x, y) → (x + 1, y + 2); (-2, 6)

Step-by-step explanation:

Which perfectly equals our selected equation. The answer is A.

Hope this helped :)

Answer:

2

Step-by-step explanation:

8:    2 2 2  

18:   2 9

GCF:    2

Hope it helps! Brainliest Please

OA, OB, and OC are all radii of the circle so they have the same length, 12 in. ∆ AOB is therefore isosceles, so the angles at the vertices A and B are congruent. The interior angles of any triangle sum to 180° in measure, so

30° + 2 m∠A = 180°   ⇒   m∠A = 75°

Draw an altitude in ∆ AOB that connects the vertex O to the midpoint of AB; this is the height h of ∆ AOB and bisects ∆ AOB into two 15°-75°-90° right triangles. Solve for h and the length of the base AB using trigonometry:

sin(15°) = (AB/2) / (12 in)   ⇒   AB = (24 in) sin(15°) ≈ 6.212 in

sin(75°) = h / (12 in)   ⇒   h = (12 in) sin(75°) ≈ 11.591 in

Then the area of ∆ AOB is

1/2 (AB) h = (144 in²) sin(15°) sin(75°)

= (72 in²) (cos(60°) - cos(90°))

= 36 in²

where we use the identity

sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Let m∠BOC = θ. Then

(area of sector BOC) / θ = (area of ⊙O) / 360°

Solve for θ :

θ = (area of sector BOC) / (area of ⊙O) • 360°

θ = (36 in²) / (π (12 in)²) • 360°

θ = (90/π)° ≈ 28.648°

Answer:

Craig

Step-by-step explanation:

We can see this with an equation :)

Craig equation: 3x

Geoff: 1/2x

If we put in values for x, we can see who is going faster :)

Craig: 3(2)

6

Geoff: 1/2(2)

1

Have an amazing day!!

Please rate and mark brainliest!!

Answer: = x > $124.3

Step-by-step explanation:

Alicia's Paycheck = x

Took half money for dinner x/2

She spent $42.15 on dinner and she brought home more than $20.00

.x/2 - $42.15  > $20.00

 => x/2 > $62.15

=> x > $124.3

I hope that helps! Have a great day!!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the ratio between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]

[tex] \textsf{Since the common ratio is same, } [/tex] [tex] \textsf{we can infer that it's a geometric progression} [/tex] [tex] \textsf{with common ratio of -3} [/tex]

Answer:

okay

Step-by-step explanation:

[tex]for arithmetic \: progression \: there \: must \: be \: a \: common \: difference \\ \\ to \: get \: common \: difference \: {d} \: \\ get \: the \: the \: term \: infront \: minus \: the \: term \: before \\ say \: d = 12 - ( - 4) = 16 \\ d = - 36 - 12 = - 48 \\ d = 108 - ( - 36) = 144 \\ since \: d \: isnt \: uniform \: this \: is \: not \: arithmetic \: progression \\ \\ for \: geometric \: progression \: there \: must \: be \: a \: common \: ratio \: {r} \\ r \: is \: got \: by \: dividing \: the \: term \: infront \: by \: the \: term \: behind \\ \\ say \: r = 12 \div ( - 4) = - 3 \\ r = ( - 36) \div 12 = - 3 \\ r = 108 \div ( - 36) = - 3 \\ since \: r \: is \: the \: same \: this \: is \: a \: geometric \: serie[/tex]

Answer:

See below

Step-by-step explanation:

Arrange the list in ascending order

16 800   18400    19 950    23 400    26 500    47 800

MEDIAN is the middle number ...since there are TWO in the middle it is the average of the two    (19950 + 23400) /2 = 21675

MEAN is the average...add all of the numbers and divide by 6

   = 25475

Answer:

huh

Step-by-step explanation:

Answer:

Whoes Joe?

Step-by-step explanation:

Answer:

Not sure

Step-by-step explanation:

Well I’m just guessing these numbers but…

For the coin it is one minus the probability of the coin landing on tails minus the tiny probability of the coin landing on its edge and balancing there. So something like (1 - 0.499 999 5 - 0.000 001), or 0.499 995; call it as near 0.5 as makes no difference.

For the number cube it is one minus the probability of the cube landing on one, three or five minus the tiny probability of the coin landing on an edge or the even tinier probability of it landing on a corner and balancing there. So something like (1 - 3 * 0.166 666 - 12 * 0.000 000 36 - 8 * 0.000 000 08) , or 0.499 998; call it as near 0.5 as makes no difference.

So the joint probability is the first probability times the second. So 0.5 * 0.5 which is 0.25 for all intents and purposes

(copied from Quora)

Answer:

2010

Step-by-step explanation:

Using the stated percentage, it is determined that it has a 0.877 = 87.7% chance of arriving on time.

The number of desired outcomes divided by the total number of outcomes yields a probability.

A percentage can be regarded as a probability over a big sample.

In this question, 87.7% of flights arrive on time in Atlanta, based on a significant number of flights. As a result, there is a 0.877 = 87.7% chance that it will arrive on time.

Answer: 86.1%

Step-by-step explanation:

decimal from 6.0250 to 60250. is moving it four decimal places, so that is the same as multiplying by 1 followed by four zeros). This means that an equivalent fraction is 60250 / 10000.

Answer:

Pasos para resolver una ecuación lineal

3x−2/4−2x+5/3=1−x/6

Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.

36x−3×2−24x+20=12−2x

Multiplica −3 y 2 para obtener −6.

36x−6−24x+20=12−2x

Combina 36x y −24x para obtener 12x.

12x−6+20=12−2x

Suma −6 y 20 para obtener 14.

12x+14=12−2x

Agrega 2x a ambos lados.

12x+14+2x=12

Combina 12x y 2x para obtener 14x.

14x+14=12

Resta 14 en los dos lados.

14x=12−14

Resta 14 de 12 para obtener −2.

14x=−2

Divide los dos lados por 14.

x=

14

−2

​

Reduzca la fracción  

14

−2

 a su mínima expresión extrayendo y anulando 2.

x=−

7

1

Step-by-step explanation:

Answer:6 dollars

Step-by-step explanation:5 +20% gives you 6 which would be the ending price

Answer:

y = 3x - 3

Step-by-step explanation:

Given, (2,3) and (-1,9), m = 3

Equation of a straight line is y = mx + c

Here, y = 3, x = 2 and m = 3

Substituting the values in y = mx + c we get,

3 = 3(2) + c

c + 6 = 3

c = 3 - 6

c = -3

So, the equation of the line is y = 3x - 3  (Answer).

Answer:

5 - 55

6 - 125

7 - 55

8 - 125

Step-by-step explanation:

6 is 125 because of alternate interior angles.

8 is 125 because of vertical angles

5 is 55 because of supplementary angles

8 is 55 because of vertical angles (to 5)

Answer:

2

Step-by-step explanation:

Haven't done this in awhile but I think it's 2 because if you cube 2 it comes to 8. L x W x H = 8 | 2 x 2 x 2 = 8

[tex]3x + x - 4 + 100 = 180[/tex]

[tex]4x + 96 = 180[/tex]

[tex]4x = 180 - 96[/tex]

[tex]4x = 84[/tex]

[tex] \frac{4x}{4} = \frac{84}{4} [/tex]

[tex]x = 21[/tex]

Answer:

5/7

Step-by-step explanation:

Since we have 7 cows in total our denominator would be 7 for now. 5 of the cows are red, so 5/7. Since we can't simplify 5/7 that is our final answer.

Hope this helps!!

Answer:

The selling price of a compact disc player is $219. The markup rate used by the seller is 50%. Find the cost of the compact disc player.

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

198 × 50%

198 × 50/100

198 × 1/2

198/2=84

Answer:

x = 8

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

solve for x by simplifying both sided of the equation then isolating the variable