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3 years ago

Find the common ratio for the following sequence. 27, 9, 3, 1,

1 answer:

max2010maxim [7]3 years ago

7 0

Hello there, and thank you for posting your question here on brainly.

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Answer: /3 or :3
Why?
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The sequence here is decreasing, so it is either being subtracted or divided. This has a unit rate, so it looks like this. (27-x=9|9-x=3|3-x=1) It's not being subtracted, because x in the first equation shown above, (17) does not fit for 9 - x = 3, or 3 - x = 1. So it has to be divided by something. You find it by multiplying the first two numbers together. It looks like 1 * x = 3. Remember, any number times one is that number, so the answer is 3. Check: 27 / 3 = 9. That is correct. 9 / 3 = 3. This is also correct. 3 / 3 = 1. This also, is correct. So, your answer is 3.

Hope this helped you! ♥

You might be interested in

Is 9.55x10 to the 3rd power greater than less than or equal to 5,900

erastovalidia [21]

Answer:

See below.

Step-by-step explanation:

9.55 * 10^3 = 9550.

So it is greater than 5,900.

5 0

4 years ago

In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int

muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate in decimal
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ $5000=P(1+\frac{0.03}{12})^{(12)(2)}$

∴ $5000=P(1+0.0025)^{24}$

∴ $5000=P(1.0025)^{24}$

- Divide both sides by $(1.0025)^{24}$

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0

4 years ago

Fifty three less than twuce a number is 31 what is the number

BartSMP [9]

Answer:

Step-by-step explanation:

So if the result of it is 31,

And it is 53 less you would add back 53

53 + 31 = 84

And it is twice a number so you divide by 2 (opposite of twice a number)

84/2 = 42

5 0

3 years ago

Can someone please help with this problem and explain. Please answer quickly, thx :) (picture included)

Anna007 [38]

Exponential laws
$(x^{m})^{n}=x^{mn}$
$x^{\frac{m}{n}}=\sqrt[n]{x^{m}}$

so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)= $\sqrt[3]{m^{1}}$ = $\sqrt[3]{m}$

3 0

4 years ago

A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at

baherus [9]

Since each share was purchased when it was still quoted at 20 1/4, then when the stock value increases, it gains (25 1/4 - 20 1/4) = $5.00 for each stock. Since you're to sell 30 shares of your stock, that means you'll be making a profit of (30 x 5 ) = $150.00. Thus, the answer is C.

8 0

3 years ago