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Anastaziya [24]

3 years ago

8

Mr. Ferguson suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 3

0% lower than $2075. What was the price the travel agent found?

1 answer:

alina1380 [7]3 years ago

4 0

30% is .3
.3 times 2075 is 622.50
the answer is $622.50

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Someone to find the perimeter of this

harina [27]

(1.85*2)+(2.2.0*2)= 8.1cm. I hope it’s right

7 0

3 years ago

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An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet tall and has a base with a circumferen

tatyana61 [14]

Answer:

The volume of the sculpture is 67.824 ft^3

Step-by-step explanation:

In this question, we are to calculate the volume of a conical sculpture, given the height of the sculpture and the circumference of the base.

Mathematically, the volume V of the sculpture is given by;

V =1/3 * π * r^2 * h

Now, we have the height directly from the question but we do not have the value of the radius.

We can obtain the value of the radius from the circumference of the base

Mathematically, the circumference C of the base of the cone is given by;

C = 2 * π * r

Inputing the value of the circumference, we have;

22.608 = 2 * 3.14 * r

r = 22.608/(2 * 3.14)

r = 22.608/6.28

r = 3.6 feet

Now plugging these values into the volume equation, we have

V = 1/3 * 3.14 * 3.6^2 * 5

V = 67.824 ft^3

6 0

3 years ago

Find x in this 45°-45°-90° triangle.<br><br><br><br> x =

Bezzdna [24]

Answer: 6 sqrt2

Step-by-step explanation:

Sqrt = square root shorthand.

In a 45-45-90, the legs can be represented as x and the hypotenuse as x root2.

12 = x (sqrt2)

12/sqrt2 = x

Let’s rationalize this by putting the square root on top:

12sqrt2 / 2

Simplify:

6sqrt2

6 0

3 years ago

The length of a standard jewel case is 3 cm more than its width. The area of the rectangular top of the case is 304 cm squared.

valentina_108 [34]

Answer:

width = 16 cm

length = 19 cm

Step-by-step explanation:

Let the width be x cm.

Given that length is 3 cm more than width then

length = x+3 cm

area of rectangle = 304 square cm. -----1

area of rectangle is given by

area =length * width

substituting from equation 1 and length and width in terms of x we have

304 = x(x+3)

$=> 304 = x^2+3x\\\\=> 304 -304= x^2+3x -304\\=> 0= x^2+3x -304\\=> x^2+3x -304 = 0\\=> x^2+19x - 16x -304 = 0\\=> x(x+19 ) -16(x+19) = 0\\=> (x-16) (x+19 )= 0\\x-16 = 0 \ or \ x+19 = 0\\ x= 16 \or \ x = -19$

As length cannot be negative hence x = 16

Thus width = x = 16 cm

length = x+3 = 16+3 = 19 cm

6 0

4 years ago

Given that weekly demand curve of a local wine producer is p = 50 − 0.1q, and that

rusak2 [61]

Answer:

Z(p) = -10p² + 600p - 6500

Step-by-step explanation:

Demand curve <em>p</em> = 50 - 0.1 <em>q</em>

Total cost function <em>C</em>(<em>q</em>) = 1500 + 10q

where q is the number of bottles produced each day and p is the selling prices per bottle.

Now, <em>p</em> = 50 - 0.1 <em>q</em>

o.1 <em>q = </em>50 <em>- p</em>

<em>q = </em>500 - 10<em>p</em>

Revenue = price × quantity =<em> p × q</em>

= <em>p</em> ( 500 - 10<em>p</em>)

= 500<em> p</em> - 10<em>p²</em>

Profit = total revenue - total cost

Let Profit be Z since profit is function of price, therefore

<em>Z(p) = pq - C(q)</em>

<em>Z</em> (p)= 500<em> p</em> - 10<em>p</em>² - (1500 + 10<em>q</em>)

Substituting the value of q in above expression,

<em>Z(p) </em>= 500 <em>p</em> - 10<em>p</em>² - ( 1500 + 10 (500 - 10<em>p</em>))

<em>Z(p)</em> = 500<em>p</em> -10<em>p</em>² - 1500 -5000 + 100<em>p</em>

<em>Z(p)</em> = -10<em>p</em>² + 600<em>p</em> - 6500

So, the weekly profit as a function of price p is Z(p) = -10p² + 600p - 6500.

3 0

3 years ago