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leonid [27]
2 years ago
11

Greg has $2,571.68 in his bank account and makes automatic monthly rental payments of $321.46 for a car loan. If he stops making

deposits to that account, when would the automatic payments make the value of the account zero? Write the equation using m for months that represents this scenario
Mathematics
1 answer:
Anestetic [448]2 years ago
5 0

Answer:

8 months

Step-by-step explanation:

Given that:

Amount of money present in the bank account = $2,571.68

Automatic monthly rental payments for car loan = $321.46

Any deposits in the bank account are stopped.

To find:

The number of months taken so that the automatic payments make the value of the account as zero?

Solution:

Let the number of months taken to make the value of the account zero = m months

To find the value of m, we need to divide the total amount initially present in bank account with the monthly rental payment amount.

Therefore, the equation to find the value of m, can be written as:

m = \dfrac{2571.68}{321.46}

On solving the above equation, we get the value as following:

\bold{m=8} months

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Dafna11 [192]

Answer:

If a desert became flooded, some species would immeadiately go extinct, distrupting the ecosystem, biodiversity, and the food web. This flood might cause new species to enter the ecosystem as well, through means such as rafting. Other species would be forced to adapt to the new environment, leading to adaptation and possibly speciation. For a time the ecosystem would not be very stable, but after a relatively short time, 10 or 20 years, the ecosystem could stabilize itself. So my conclusion is that ecosystems are relatively fluid, they can adapt to almost anything if they have enough time and the change in environment isn’t too drastic.

Step-by-step explanation:

4 0
2 years ago
A computer randomly selects a letter from the alphabet.
Nikolay [14]

1) 26 different outcomes are in the sample space.

2) 1 / 26 is the probability that the computer produces the first letter of your first name.

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

<u>1) You have to find out the different outcomes in the sample space :</u>

  • A "Sample space" is defined as the set of all the possible outcomes of an event.
  • Here, the given event is randomly selecting a letter from the alphabets.

Therefore, the sample space must contain all the possible alphabets that can  be chosen randomly.

The sample space is the set of all the 26 alphabets in English language.

⇒ Sample space = {A,B,C,D...........,Y,Z}

⇒ 26 different outcomes.

<u>2) The probability the computer produces the first letter of your first name :</u>

Here, the required outcome is getting the first letter of your first name.

Probability = No. of required outcomes / total no. of outcomes.

For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.

∴ Probability = 1 / 26

Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.

7 0
2 years ago
Which graph should Laila choose? Explain your reasoning by completing the sentence. Click arrows to choose an answer from each m
Leno4ka [110]

Answer:

box plot

Step-by-step explanation:

6 0
2 years ago
Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected
Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

<u>Mean:-</u>

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

                                                                                                                           mean =  \frac{64+80+75+98+75}{5}

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

<u>Median:</u>

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = \frac{75+80}{2} =77.5

<u>Mode :</u>

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

<u>Conclusion</u>:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

   

8 0
1 year ago
Amy scheduled herself from 8am-1pm sunday through wednesday on wednesday she needed to release her intervals from 11am-1pm at th
OleMash [197]

Answer:

Commitment Adherence Percentage = 81.\overline{81}%

Step-by-step explanation:

The time period Amy scheduled herself, t = 8 a.m. - 1 p.m. from Sunday through Wednesday

The period she released her interval = 11 a. m. - 1 p.m.

Commitment Adherence Percentage = Service Minutes/(Posted Minutes + Released Lockdown Minutes) × 100

Posted minutes = 5 hours/day × 60 minutes ×  4 days = 1200 minutes

Serviced minute = 5 hours/day × 60 minutes ×  3 days + 3 hours × 60 minutes/hour = 1,080 minutes

Released minutes = 2 hours × 60 minutes/hour = 120 minutes

Commitment Adherence Percentage = (1,080/(1,200 + 120)) × 100 = 81.\overline{81}%

5 0
1 year ago
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