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Marat540 [252]
2 years ago
8

Arthur is saving money to buy a used car in 8 months. The car costs $2,180. Arthur plans to start with an initial deposit and th

en deposit 25% more than the previous month until he has enough money to buy the car. What is the minimum initial deposit Arthur must make? Round to the nearest whole dollar.
Mathematics
1 answer:
Zolol [24]2 years ago
6 0

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

  • X x 1.25 x 1.56 x 1.95 x 2.44 x 3.05 x 3.81 x 4.76 = 2180
  • 514.10X = 2180
  • X = 2180 / 514.10
  • X = 4.24

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

Learn more about maths in brainly.com/question/25749130

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Answer:

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Step-by-step explanation:

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7 0
3 years ago
The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter
Lunna [17]

Answer:

z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007

p_v = P(z>2.007) = 0.0224

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

\bar X = 35.6 represent the sampel mean for the age of customers

\sigma = 5 represent the population standard deviation

n = 280 represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: \mu \leq 35

Alternative hypothesis \mu >35

The statistic for this case is given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing the data given we got:

z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007

We can calculate the p value since we are conducting a right tailed test like this:

p_v = P(z>2.007) = 0.0224

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
5. By using prime factorisation, determine if 324 and 588 are<br> perfect squares.
ad-work [718]

Step-by-step explanation:

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therefore 324 is a perfect square

Now,

prime factorization of 588=2×2×3×7×7

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Answer:

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