The function f(x)=240x represents the cost of staying at a particular hotel for x nights at the full room rate of $240 per night. The hotel gives its rewards members a discount based on the length of their stay. Each additional night that rewards members stay earns them an additional 5% discount on the total cost of their stay up to a 30% discount. The function d(x)=0.05(x-1) for 1 < x ≤ 7 represents the percentage discount in decimal form for a rewards member staying x nights at the hotel.
(a) Write an equation in simplified form to represent (fd)(x).
(b) Evaluate (fd)(4), and explain what this value represents.
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Answer:

6cm produces the largest mosquito

Step-by-step explanation:

The question has missing details.

From the complete question, the function is:

[tex]g(x) = 12x-x^2[/tex]

Required

Which area of rainfall produces the most mosquito

This implies that, we calculate the maximum of the function.

This is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

We have:

[tex]g(x) = 12x-x^2[/tex]

Rewrite as:

[tex]g(x) = -x^2 + 12x + 0[/tex]

From the above:

[tex]a= -1[/tex]

[tex]b = 12[/tex]

[tex]c = 0[/tex]

So, we have:

[tex]Max = -\frac{b}{2a}[/tex]

[tex]Max = -\frac{12}{2 * -1}[/tex]

[tex]Max = \frac{12}{2}[/tex]

[tex]Max = 6[/tex]

This implies that:

[tex]x = 6[/tex] ---- the maximum

When rainfall is at 6cm, there is a maximum number of mosquitoes

The maximum is then calculated as:

[tex]g(x) = 12x-x^2[/tex]

[tex]g(6) = 12 * 6 - 6^2[/tex]

[tex]g(6) = 72 - 36[/tex]

[tex]g(6) = 36[/tex]

The maximum number of mosquito is 36 million

Answer:

5√3 ft

Step-by-step explanation:

If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:

a²+b²=c²

(5)²+b²=(10)²

25+b²=100

b²=75

b=√75

b=5√3

So the ladder will reach a height of 5√3 ft.

Answer:

-2

Step-by-step explanation:

The sum of the temperatures is S = -2°C

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the temperatures on different days be represented by the table

Now , total temperature is S = -6 + 3 + 4 - 2 - 1

On simplifying the equation , we get

S = -2°C

Hence , the temperature is S = -2°C

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Answer:

AD = 8

DC = 15

m∠A = 112°

m∠B = 68°

m∠C = °

Step-by-step explanation:

If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.

To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.

To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.

To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.

180 - 68 = 112.

To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.

And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.

Answer:

Hewo!!!

The answer is 9.1 or if you don't want a decimal then, 9.

Step-by-step explanation:

10%          ?

___        ___

100          91

First:

you make them into fractions (hint: 100 is ALWAYS the denominator of your percent)

Second:

You multiply 10 and 91 which gives you 910

Third:

910

___

100

You put the fractions like this and cross out the two zeros to get this:

91

__

10

Lastly you divide 91 and 10 which gives you 9.1 and if you don'y want a decimal then round it to the nearest whole number which gives you 9.

Hope this helps!! =3

Answer:

Well x would be 103° because it forms a line (180°) with the 77° but I have no idea what those arrows are asking...

Answer:

26 is 7.05% or 7.04% of 369.

Step-by-step explanation:

Now 7.04% of 369 is actually 25.9776.

and 7.04% is 26.01452.

But if you round both 25.9776 and 26.01452 you get 26

So, technically you are correct.

Hope this helps! :)

Answer:

41.99

Step-by-step explanation:

74.99*(100%-30%)

52.493

52.493(100%-20%)

41.99

Answer: You can save 15% or more on car insurance when you switch to Geico

Step-by-step explanation:

The difference in sale prices between the two stores is $4.5.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a $30 sweater is on sale for 20% off at Kohls.

Here, sales price = 30-20% of 30

= 30-20/100 ×30

= 30- 0.2×30

= 30-6

= $24

The same $30 sweater is on sale at Macy's for $5 off the price.

Here, sales price = 30-5% of 30

= 30-5/100 ×30

= 30- 0.05×30

= 30-1.5

= $28.5

So, difference in price = 28.5-24

= $4.5

Therefore, the difference in sale prices between the two stores is $4.5.

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Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

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Answer:

259 km

Step-by-step explanation:

Butterfly method 100/185=140/???

185*140=25900

divide by 100

=295

Answer:

Given

(X+1)²+(y+4)² =25

or, {x-(-1)}² +{y-(-4)}² =5²

comparing with (x-h)²+(y-k)² = r²

h= -1

k= -4

center of circle (h,k)= (-1,-4)

by question..

(a,b) is centre of circle so...

(a,b) =(-1,-4)

i.e

a=-1

b=-4

now;

a+b= -1+(-4)

= -1-4

= -5

Answer:

13 x 50 = 650

Step-by-step explanation:

Answer:

75 ft

Step-by-step explanation:

Answer:

5 shirts and 4 pairs of shorts

Step-by-step explanation:

160-1 set (12+25=37)=123

123-1 set=86

86-37=49

49-37=12

12-1 t-shirt=0

Answer:

It is an rational

Step-by-step explanation:

Answer:

y>7

Step-by-step explanation:

3y-15>6

Add 15 to both sides

3y-15+15>6+15

Simplify;

3y>21

Divide both sides by 3

3y/3>21/3

Simplify;

y>7

Answered by NONE other than then ONE and ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

m<7 = 83

m<16 = 97

Step-by-step explanation:

m<3 = m<2 because of vertical angles

m<10 = m<2 because of corresponding angles

m<9 + 97 = 180

m<9 = 83

m<5 + 83 = 180

m<5 = 97

m<7 = m<6 because of vertical angles

m<16 = m<5 because of alternate exterior angles.

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the highest student changed the distribution by a lot

Answer:

50 times h=d

Step-by-step explanation:

Step-by-step explanation:

Given

Circumference of circle = 48.042 yards

diameter (d) = ?

we know

Circumference = πd

or, 48.042 = 3.14 * d

or, d = 48.042 / 3.14

Therefore d = 15.3 yards

The circle's diameter is 15.3 yards.

Hope it will help :)❤

Answer:

-4y+1

Step-by-step explanation:

Answer:

D) 59.66 m

Step-by-step explanation:

circumference = 19π = 59.66 m

Answer:

39mph

Step-by-step explanation:

plz mark brainliest

Step-by-step explanation:

1.Read the Entire Word Problem.

2.Think About the Word Problem.

3.Write on the Word Problem.

4.Draw a Simple Picture and Label It.

5.Estimate the Answer Before Solving.

6.Check Your Work When Done.

7.Practice Word Problems Often.