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AnnZ [28]
3 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]3 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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Answer: \bold{y=-3x-\dfrac{2}{3}}

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

First, find the slope of line m using the slope formula: m=\dfrac{y_2-y_1}{x_2-x_1}

(x₁, y₁) = (-5, 3)  and (x₂, y₂) = (-2, -6)

m = \dfrac{-6-3}{-2-(-5)}=\dfrac{-9}{3}=-3


Next, input the slope (m = -3) and the y-intercept \bigg(b=-\dfrac{2}{3}\bigg) into the Slope-Intercept formula: y = mx + b

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Answer:

2 5/12 cups

Step-by-step explanation:

Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container

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