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2 years ago

A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?

Mathematics

1 answer:

rodikova [14]2 years ago

8 0

Answer:

Step-by-step explanation:

The continuous compound formula is

$y=Pe^{rt$ where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

$y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09$

which would probably round to just 3848 people.

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What 30000.48978 rounded up

Fudgin [204]

Answer:

Rounded to the nearest ones: 30000

Rounded to the nearest tenths: 30000.5

Rounded to the nearest hundredths: 30000.49

Rounded to the nearest thousandths: 30000.490

Rounded to the nearest ten-thousandths: 30000.4898

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2 years ago

Simplify this expression leaving your answer in index form

kenny6666 [7]

Answer:

solution is 9a^16

Step-by-step explanation:

(6)^2= 36

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36a^25/(9a^9)

(36/9)= 4

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2 years ago

What is the probability that the second sock is black?

coldgirl [10]

I think it would be 5/8

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2 years ago

Read 2 more answers

Evaluate f(x)=-2x-5 for x=3

RoseWind [281]

Answer:

Step-by-step explanation:

hello :

f(3)=-2(3)-5 = -6-5 = -11

8 0

3 years ago

Please help.

serious [3.7K]

The number of throws that the player make X follows binomial distribution.

The probability that the player makes x throws out of eleven throws is

$P(X=x)=C(x,11)0.5^x(0.5)^{11-x}=C(x,11)0.5^{11}$

The probability that the player makes at most nine out of eleven free throws

$\sum_{x=0}^9C(x,11)0.5^{11}=1-\sum_{x=10}^{11}C(x,11)0.5^{11}\\ =1-C(10,11)0.5^{11}-C(11,11)0.5^{11}=1-\frac{12}{2^{11}} \\ =1-\frac{3}{512} =\frac{509}{512}$

Correct choice is (B).

8 0

3 years ago