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Marina86 [1]
2 years ago
8

Geoff and Max are college roommates. Geoff can clean their apartment in 2.5 hours and Max can clean their apartment in 3.25 hour

s. How long will it take Max and Geoff to clean their apartment together?
Mathematics
1 answer:
Anestetic [448]2 years ago
6 0

Answer: 1.41 hours

<u>Step-by-step explanation:</u>

Geoff: 2.5 hours = 1 job

Max: 3.25 hours = 1 job

Together: \frac{x}{2.5} + \frac{x}{3.25} = 1 job

            ⇒ (3.25)(2.5)\frac{x}{2.5} + (3.25)(2.5)\frac{x}{3.25} = (3.25)(2.5)1

            ⇒ 3.25x + 2.5x = 8.125

            ⇒             5.75x = 8.125

                           <u>÷5.75  </u>  <u> ÷5.75 </u>

                                   x = 1.413

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A house purchased for $230,000 has lost 6% of its value each year for the last four years. What is the house worth now?
lutik1710 [3]
You can use the compound growth to work this out,

Firstly you need to make a multiplier for -6%;
1-(6/100) = 0.94

The you times the amount of money by 0.94 to the power of 4 because you are working out 4 years:
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Hope this helps! :)
3 0
2 years ago
What isn't the bets approximation for the area of this circle labeled 8 inches use3.14 to approximate pi
Arte-miy333 [17]

Answer:

50.272  in^2

Step-by-step explanation:

Step one:

Given data

Circles are described using the diameter parameter

Diameter of the circle is 8 inches

radius = 4 inche= d/2

Step two:

The area of the circle is

A= πr^2

A= 3.142*4^2

A=3.142*16

A=50.272  in^2

8 0
3 years ago
SOMEONE PLEASE ANSWER ASAP THIS FOR BRAINLIEST!!!!
kirill115 [55]

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3 0
3 years ago
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). O
Neko [114]

Answer:

a)q(p)=-15p+ +300

b)R(p)=-15p²+300p

c)C(p)=-30p+1600

d.1)P(p)=-15p²+330p-1600

d.2)p=$11

Step-by-step explanation:

(a).Before getting started, we are going to consider  the cartesian plane, where x-axis corresponds to the cover charge and y-axis corresponds to number of guests per night . There, we will locate the following coordinates according to the previous information:

(9,165)  (10,150).

Remember that  the slope-intercept form of the  linear equation is y=mx+b where m is the slope and b  is te intercept.

The slope can be calculated  by the next formula:

m=\frac{y2-y1}{x2-x1}

In this case we will assign  (9,165) as the first coordinate and (10,150) as the second one. The order does not matter. At the end we get the same value for m.

Therefore:

m=\frac{150-165}{10-9} = -15

Now, we have the slope and two poitns. According to this, and taking into account that  point-slope form of the equation of a line is y-y1=m(x-x1),   find a linear demand equation.

Any of two coordintates can be selected. In this case we will select the second one.

y-150=-15(x-10)   equation 1

Solve equation 1 for y

y=-15x+150+150

y=-15x+300

Above we had defined x as cover charge (p) and y as number of guests (q). Thus, rewrite equation 1.

q(p)=-15p+ +300.  

it equation shows the number of guests per night as a function of the cover charge,

(b). The nightly revenue can be calculated multplying the price of the cover charge by  the number of guests. So, we just have to multiply the equation 1 by p.

p*q(p)=p*(-15p +300)

R(p)=-15p²+300p   equation 2

(c) To get the cost function of the nightclub  we just have to multiply the cost of the two non-alcoholic drinks   by the number of the guests ( equation 1) and add to it  nightly overheads.

C(p)=2*(-15p+300)+1000

C(p)= -30p+600+1000

C(p)=-30p+1600  equation 3

(d) In order to find the profit in terms of the cover charge we will  subtract nightly costs ( equation 3) from nightly revenue (equation 2)

P(p)=R(p)-C(p)

P(p)=-15p²+300p - (-30p+1600)

P(p)=-15p²+300p+30p-1600

P(p)=-15p²+330p-1600

To determine that  the entrance fee we should charge for a maximum profit we are going to use the first derivative test (y'(x)=0) in order to find an extremum point.

Compute the first derivative of P(p)

P'(p)=-30p+330=0

30p=330

p=330/30

p= $11

The entrance fee that we should charge for a maximum profit is p=$11 per guest.

5 0
3 years ago
1: 1/2 km equals to how many metres?
VMariaS [17]
1.
km=kilometers
kilo=1000
1 km=1000meters
so
1/2km= 1/2 times 1000=1000/2=500meters


2. 1/4 km=1000/4=250 meters

3. 1/5 km=1000/5=200 meters

4. 2/5 km=2000/5=400 meters

5. 3/4 km=3000/4=750 meters

6. 1/8 km=1000/8=125 meters
7 0
2 years ago
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