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AURORKA [14]
3 years ago
13

Using the exponential growth function for the U. S. population from 1970 through 2003:

Mathematics
1 answer:
jeka943 years ago
7 0

Answer:

Step-by-step explanation:

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t

with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?

A.

2028

B.

2048

C.

2018

D.

2038

We have the expression

A = 205.1e^0.011t

We are asked to find when would the U. S. population reach 350 million

A = 350

350 = 205.1e^0.011t

We divide both sides by 205.1

Divide both sides by 205.1

350/205.1 = 205.1e^0.011t/205.1

1.7064846416 = e^0.011t

We take the log of both sides

log 1.7064846416 = log e^0.011t

log 1.7064846416 = t log 0.011

t = log 1.7064846416/ log 0.011

t = 0.1185057826

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Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirre
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Answer:

10 rabbits

Step-by-step explanation:

Let us represent

Number of rabbits = x

Number of squirrels = y

Number of deer = z

Katniss caught three times as many squirrels as deer.

y = 3z

She also caught five less rabbits than squirrels.

y = x - 5

The total number of animals she caught is ten more than four times the number of deer caught.

x + y + z = 4 × z + 10

x + y + z = 4z + 10

How many rabbits did Katniss catch?

Number of rabbits = x

We make x subject of the formula

x + y + z = 4z + 10

x = 4z + 10 - y - z

y = 3z

x = 4z + 10 - 3z - z

x = 4z - z - 3z + 10

x = 4z - 4z + 10

x = 0 + 10

x = 10

Therefore, the number of rabbits Katniss caught is 10 rabbits

4 0
3 years ago
The scatterplot below shows the average yearly consumption of bottled water by people in the United States starting in 1990. Usi
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8 0
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13% of $99.99 =<br> $26.00<br> O $25.98<br> O $13.00<br> O $12.99
vova2212 [387]

Answer:

12.99 or 13 rounded

Step-by-step explanation:

99.99/(.13)=12.9987

8 0
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Scott will rent a car for the weekend. He can choose one of two plans. the first plan has an initial fee of $55 and costs an add
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Answer:

This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:

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Step-by-step explanation:

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