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2 years ago

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Which formula can be used to describe the sequence below? 27,9,3,1,1/3

2 answers:

Gnesinka [82]2 years ago

8 0

Answer:

D. an=3an-1-1/3;a1=27

Step-by-step explanation:

givi [52]2 years ago

5 0

This is a geometric sequence with an initial term of 27 and a common ratio of 1/3

This just means that each term is 1/3 the term preceding it.

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:

a(n)=27(1/3)^(n-1)

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Can sombody plz help me?!

larisa86 [58]

Answer:

D.

Step-by-step explanation:

The posssibility that a random person will not buy any dramas is 3/4 since 1/4 is the one with drama and there's 4 types of movies.

6 0

2 years ago

Read 2 more answers

A company deposits $25,000 in a bank account that earns interest. The value of the account can be represented as 25,000e^0.0198t

nasty-shy [4]

Answer:

k = 1.2

Step-by-step explanation:

Solving for t when the account value is 30,000, we have ...

30,000 = 25,000e^(0.0198t)

30,000/25,000 = 1.2 = e^(0.0198t)

ln(1.2) = 0.0198t

t = ln(1.2)/0.0198

Matching this with the form ...

t = ln(k)/0.0198

we see that k = 1.2.

_____

k is the multiplier of account value in time period t.

7 0

2 years ago

The value of y varies directly as the square of x and y=27 when x=9. Find the equation represents this relationship. Report the

skad [1K]

Answer:

The relation between x and y is

$y=\frac13 x^2$

Step-by-step explanation:

Given that,

The value of y varies directly as the square of x.

$y\propto x^2$

$\Rightarrow y=rx^2$

where r is constant of proportional.

Given that,

y= 27 and x=9

Plug y= 27 and x=9 in above relation

$y=rx^2$

$\therefore 27=r(9)^2$

$\Rightarrow 27 = r.81$

$\Rightarrow r=\frac{27}{81}$

$\Rightarrow r=\frac{1}{3}$

The relation between x and y is

$y=\frac13 x^2$

8 0

2 years ago

C(x) = 0.6x+ 15,000 and R(x) = 1.25x where x is the number of units produced.

Arisa [49]

The profit function is the difference between the cost and revenue functions

The profit function is $P(x) = 0.65x - 15000$

<h3>How to calculate the profit function</h3>

The functions are given as:

Cost function: C(x) =0.6x + 15000
Revenue function: R(x) =1.25x

The profit function is then calculated as:

$P(x) =R(x)-C(x)$

So, we have:

$P(x) = 1.25x - 0.6x - 15000$

Evaluate the differences

$P(x) = 0.65x - 15000$

Hence, the profit function is $P(x) = 0.65x - 15000$

Read more about profit functions at:

brainly.com/question/10009899

8 0

1 year ago

Whats the distance between points p(8,2) and q(3,8)

True [87]

The answer is 7.8
Hope this helps!

8 0

2 years ago