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mixer [17]
4 years ago
7

To manage a rental property, a property manager charges $65 per month plus 6% of the rent.

Mathematics
1 answer:
Igoryamba4 years ago
3 0

Given parameters:

Charge per month  = $65

Percentage on rent= 6%

Amount paid by Jack per month = $164

Unknown:

Monthly rent on his property = ?

Solution:

  Monthly rent on his property can be found by;

  Amount paid by Jack per month = Charge per month + 6% of monthly rent

Let the monthly rent = x ;

  So;

              164  = 65 + \frac{6}{100}  x x

              164 - 65  = \frac{6x}{100}

                   99  = \frac{6x}{100}

                   6x = 9900

                    x = 1650

Monthly rent on his property is $1650

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CaHeK987 [17]
It’s not a function as there are more than one value of y fir each value if x
6 0
3 years ago
The distance between Frankfurt and Prague is 432.5 km. Alex left Frankfurt at 10 AM and started traveling to Prague at 60 km/h.
viva [34]

Answer:

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt

Step-by-step explanation:

We are given that the distance between Frankfurt and Prague is 432.5 km.

Distance bw Frankfurt and prague, s(F&P) = 432.5km

Alex left Frankfurt at 10 AM and tavelled at 60 km/hr. At noon i.e 12 PM Michael started traveling from Prague to Frankfurt, which means that Alex travelled 2 hour before Michael started, so lets calculate that distance first.

At 10 AM:

Time travelled by Alex, t = 2hr

Speed, v = 60km/hr

Distance, s(Alex) = v × t = 60 × 2 = 120 km

At noon 12 PM:

Now that Alex has covered 120 km from Frankfurt, he is now 432.5 - 120 = 312.5 km away from Michael at 12 PM.

Distance between Michael and Alex is now 312.5 km

Now Micahel will start moving towards Frankfurt at a speed of 65km/hr

And Alex is also coming towards Prague at a speed of 60km/hr

As they are moving toward eachother their speed will be taken as cumulative.

Speed, v = 65 + 60 = 125

Distance between the two, s = 312.5km

Time t = \frac{s}{v} = \frac{312.5}{125} = 2.5 hr


In these 2.5 hr Alex will cover a distance at 60km/hr = 2.5 * 60 = 150

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt



5 0
3 years ago
In Manchester, 3 of the 18 radio stations play country music.
Kazeer [188]

Answer:

There is a one in six chance that a randomly selected radio plays country music.

Step-by-step explanation:

There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6

8 0
2 years ago
A parking lot has 45 empty space. If the ratio of empty spaces to taken spaces is 5:3, how many spaces are there total
Savatey [412]
5x-\ taken\ spaces\\\\
3x-\ empty\ spaces\\\\
45=3x \ \ \ | divide\ by\ 3\\\\
x=15\\\\
5x+3x=8x=8*15=120\\\\
There\ are\ 120\ spaces\ in\ total.
7 0
3 years ago
N =64
faust18 [17]

Answer:

B.  1.70

Step-by-step explanation:

Given:

  • n=64
  • \overline{x}=65.1
  • \sigma=24
  • \textsf{h}_0:\mu=60
  • \textsf{h}_1:\mu\neq 60

\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \overline{X} \sim \left(\mu,\dfrac{\sigma^2}{n}\right) \implies Z=\dfrac{\overline{X}-\mu}{\sigma / \sqrt{n}} \sim \textsf{N}(0,1)

\textsf{then test statistic is}: \quad z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}

Substituting the given values into the formula to find the test statistic z:

\begin{aligned}\implies z &=\dfrac{65.1-60}{24 / \sqrt{64}}\\\\&=\dfrac{5.1}{3}\\\\&=\dfrac{17}{10}\\\\&=1.7\end{aligned}

4 0
2 years ago
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