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grandymaker [24]

3 years ago

13

A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole num

ber?

1 answer:

lord [1]3 years ago

5 0

12500 people the only reason it would be a decimal is it was .524 % of 10000

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Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c

olya-2409 [2.1K]

Answer:

$f(n)=64(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

$r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}$

$r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}$

$r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}$

It is a geometric series because it has a common ratio $r_1=r_2=r_3=\dfrac{1}{4}$ .

First term is 64.

The explicit formula of a geometric series is

$f(n)=ar^{n-1}$

where, a is first term and r is common ratio.

Substitute a=64 and r=1/4 in the above function.

$f(n)=64(\frac{1}{4})^{n-1}$

Therefore, the required explicit formula is $f(n)=64(\frac{1}{4})^{n-1}$ .

5 0

3 years ago

Read 2 more answers

I have 5 apples and take away 2

krok68 [10]

Answer:

3

Step-by-step explanation:

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5 0

3 years ago

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Efectuati calculele:

NNADVOKAT [17]

$\sqrt{(5 - 1)^{2}} + \sqrt{20}$

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8 0

3 years ago

Between which two numbers is √8 located on a number line?

Lady_Fox [76]

Answer:

√8 is between 2 and 3.

Step-by-step explanation:

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5 0

2 years ago

Hi I need to know the slope(m) before 11:00 I know the y-intercept(b) is -3

Alexxandr [17]

Answer:

slope is 2/3

Step-by-step explanation:

y=mx + b where m is the slope

6 0

3 years ago