Suppose the function P(t) = 437.6(1.031)t is used to model the population of an organism in a specific region after t years. When will the number of organisms be 1000? (Round your answer to three decimal places.)

Answers

Answer 1

Answer:

Answer: 27.071 years.

Step-by-step explanation:

The given function : $P(t) = 437.6(1.031)^t$ is used to model the population of an organism in a specific region after t years.

To find : t , when P(t)=1000

Substitute P(t)=1000 in the given function , we get

$1000 = 437.6(1.031)^t\n\n\Rightarrow\ (1000)/(437.6)=(1.031)^t\n\n\Rightarrow\ 2.2852=(1.031)^t$

Taking natural log on both sides , we get

$\ln(2.2852)=\ln ((1.031)^t)\n\n\Rightarrow\ \ln(2.2852)=t(\ln (1.031))\n\n\Rightarrow\ t=( \ln(2.2852)/(\ln(1.031))\n\n\Rightarrow\ t=(0.8264535)/(0.0305292)\n\n\Rightarrow\ t=27.070918989\approx27.071$

Hence, The number of organisms will be 1000 after t= 27.071 years.

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A parking lot is 100 yards long. What is the length of 3/4 of the parking lot, in feet? (Not in words)

Answers

1 yard = 3 feet.

100 yards x 3 = 300 feet.

300 feet x 3/4 = 225 feet.

The answer is 225 feet.

Answer:

225 ft hope it helps

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Which if the following quartic functions has x = 1 and x =

Answers

Answer:

y = x⁴ +4x³ +4x² +4x +3

Step-by-step explanation:

The coefficients of the offered quartics (in order) have 1, 1, 1, and 0 sign changes, respectively. Descartes' rule of signs tells you this means the first three choices all have one (1) positive real root, so the negative real roots -1 and -3 are not the only ones.

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out of 24 students, 6 preferred to use pastels for their portraits while 4 preferred to use watercolours watercolours. what percentage of the class preferred pastels? % Jasmin bought a box of 40 assorted coloured pastels, 1/5 are blue, 3/10 are green, 20% are red and 5 are yellow. Of which colour are there most pastels? How many pastels are colours other than blue, green, red or yellow?

Answers

The percentage of the class-preferred pastels will be 25%. The color there has most pastels will be Green. And the number of pastels that are colors other than blue, green, red, or yellow will be 7.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Out of 24 students, 6 preferred to use pastels for their portraits while 4 preferred to use watercolors. Then the percentage of the class preferred pastels will be

P = 6 / 24 x 100

P = 0.25 x 100

P = 25%

Jasmin bought a box of 40 assorted colored pastels, 1/5 are blue, 3/10 are green, 20% are red and 5 are yellow. Then the number of pastels of each color will be

Blue = 1/5 = 8 / 40 = 8

Green = 3/10 = 12 / 40 = 12

Red = 0.2 = 1/5 = 8 / 40 = 8

Yellow = 5

The number of pastels are colors will be

⇒ 40 - 8 - 12 - 8 - 5

⇒ 40 - 33

⇒ 7

The color there has most pastels will be Green. And the number of pastels that are colors other than blue, green, red, or yellow will be 7.

More about the percentage link is given below.

brainly.com/question/8011401

#SPJ2

Answer:

4% used pastels.

Step-by-step explanation:,,

green is the most

5 isnt blue.green,yello or red

the histogram to the right displays the height of 122 trees and Mr. Maciag's subdivision. He is very excited about autumn and the leaves changing colors. Height ranged between 108 cm and 345 cm. Let the function "f" map a tree height to the frequency of the column that tree belongs to. What is the value of f(250)? Explain the steps you followed to find the value.

Answers

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Step-by-step explanation:

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Look at the graph to see that when x = 250 (height), y = 50 (trees).

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