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Artist 52 [7]
3 years ago
15

B.Imagine you are 1 of the people who left the luncheon with a contagious disease and interacted with an average of 9 different

people each day. How many people could potentially be infected in 7 days
Mathematics
1 answer:
Zanzabum3 years ago
5 0

Answer:

5380839  infected

Step-by-step explanation:

Let's do the calculations day by day, we have:

Day 1

That person spread 9 people.

Day 2

Each of the nine people infect 9 others, plus that person infected 9 others, therefore it would be:

9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = (9 x 9) + 9 = 9 ^ 2 + 9 (assume this number as first term + second term)

Day 3

By the end of day 2, there were a total of 9 ^ 2 persons (first term) will infect 9 each, which makes this figure:

 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 + 9 ^ 2 = 9x9 ^ 2 = 9 ^ 2. The second term will now become 9 ^ 2, plus another 9 infected by the person who started it all. Therefore it would remain:

9 ^ 3 + 9 ^ 2 + 9

Following the sequence would be:

Day 4

9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9

Day 5

9 ^ 5 + 9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9

 Day 6

9 ^ 6 + 9 ^ 5 + 9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9

Day 7

9 ^ 7 + 9 ^ 6 + 9 ^ 5 + 9 ^ 4 + 9 ^ 3 + 9 ^ 2 + 9 = 5380839

Which means that in total there would be 5380839  infected

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Step-by-step explanation:

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A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the
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The students rented 4 small cars and 8 large cars.

Step-by-step explanation:

Given,

Number of people in small car = 4

Number of people in large car = 7

Total people in both type of cars = 72

Let,

x represent the number of small cars rented.

y represent the number of large cars rented.

According to given statement;

4x+7y=72     Eqn 1

y = 2x           Eqn 2

Putting value of y from Eqn 2 in Eqn 1

4x+7(2x)=72\\4x+14x=72\\18x=72

Dividing both sides by 18

\frac{18x}{18}=\frac{72}{18}\\x=4

Putting x=4 in Eqn 2

y=2(4)\\y=8

The students rented 4 small cars and 8 large cars.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/10557938
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#LearnwithBrainly

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HELP WILL MARK BRAINLIEST What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer
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Answer:

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5 times the sum of F amd 13 equala 125
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Answer:

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Step-by-step explanation:

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Makenzie is looking to purchase a used Jeep Wrangler that costs $21,000. She will make a $4,000 down payment and borrow the rema
olga_2 [115]

Answer:

$323

Step-by-step explanation:

The monthly payment can be calculated using the formula:

M=\frac{P(\frac{r}{12})(1+\frac{r}{12})^n}{(1+\frac{1}{12})^n-1}\\\\

where:

  • M=monthly payment
  • P=amount borrowed
  • r=annual interest rate
  • n=total number of monthly payments:

Our parameters are defined as:

n=60\\P=21000-4000=17000\\r=5.3%\\\\

We plug our parameters in the equation to solve for M;

M=M=\frac{P(\frac{0.053}{12})(1+\frac{0.053}{12})^n}{(1+\frac{0.053}{12})^{60}-1}\\\\\\\\

=\frac{P(\frac{0.053}{12})(1+\frac{0.053}{12})^{60}}{(1+\frac{0.053}{12})^{60}-1}\\\\\\=323.15

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