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AnnZ [28]
2 years ago
5

The number of people who have heard a rumor often grows exponentially. Consider a rumor that starts with 3 people and where the

number of people who have heard it doubles each day. How many people would know the rumor after 20 days?
Mathematics
1 answer:
Marysya12 [62]2 years ago
4 0

Answer:

3.9125 × 10⁵² people

Step-by-step explanation:

A rumor starts with 3 people and the number of people who heard it doubles each day.

How many people would have heard the rumor after 20 days?

To calculate exponential growth, we use the formula:

y (t) = ae^{kt}

where;

a = value at the start =3

k = growth rate = 2×3 = 6

t = time = 20 days

y(t) = value of the population at the given time (t) =??

y(t) = 3 \times e^{6\times 20}

y(t) = 3.9125 × 10⁵² people

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grin007 [14]

The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

D(p) = 180 + 10q - 4p

Here, <em>p</em> is the price of Model Z.

Consider the following two statements:

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D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)

  • 2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.

D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\

Put the value of demand at the revenue-maximizing price as,

Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}

Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

Learn more about the mathematical model here;

brainly.com/question/4960142

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2 years ago
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Answer:

30.61

Step-by-step explanation:

<h3>Add</h3><h3></h3><h3>23.7+6.91=30.61</h3><h3 /><h3>hope this helped!=)</h3>
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PLEASE HELP DUE TODAY
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x less than or equal to 5

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If Jeremey puts down $200 down and pays $50.00 per month for 24 months, how much will the computer cost
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He will pay $1,400 for the computer because 24 x 50= 1,200 plus the $200 down payment equal $1,400
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Which expression is the same as 1 ten, 3 ones, and 9 thousands?
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