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vagabundo [1.1K]
3 years ago
10

Can someone please help with the answer!!! Thank you :)

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

Answer:

This sequence is a geometric sequence.

The common ratio of the sequence is

3/9 = 1/3

Hope this helps

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If the simple interest on $6,000 for 9 years is $3,240 , then what is the interest rate?
igor_vitrenko [27]

Rate of interest is 6 %

<em><u>Solution:</u></em>

Given in question that,

simple interest = $ 3240

number of years = 9 years

principal sum = $ 6000

To find: interest rate

<em><u>The simple interest is given as:</u></em>

S.I = \frac{pnr}{100}

Where, "p" is the principal

"r" is the rate of interest

"n" is the number of years

<em><u>Substituting the values in above formula,</u></em>

3240 = \frac{6000 \times 9 \times r}{100}\\\\3240 = 60 \times 9 \times r\\\\3240 = 540 \times r\\\\r = \frac{3240}{540}\\\\r = 6

Thus rate of interest is 6 %

8 0
3 years ago
Find the lateral area for the pyramid with the equilateral base.
Dafna11 [192]

Answer:

Option A is the correct answer.

Explanation:

 The given pyramid has 3 lateral triangular side as shown below.

 Base of triangle = 12 unit

 We need to find perpendicular.

  By Pythagoras theorem we have

            Perpendicular² = 10²-6²

           Perpendicular = 8 unit

So area of 1 lateral triangle = 1/2 x Base x Perpendicular.

                                             = 1/2 x 12 x 8 = 48 unit²

Area of lateral side = 3 x 48 = 144 unit²    

Option A is the correct answer.                

7 0
3 years ago
Read 2 more answers
What is the length of AC?
Eddi Din [679]
Your mom your mom your mom your dad your mom
5 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20-%201" id="TexFormula1" title="y = \frac{1}{2} - 1" alt=
Kitty [74]

Answer:

-0.5

Step-by-step explanation:

1/2 = 0.5

0.5 - 1 = - 0.5

4 0
3 years ago
How do you solve for x?<br><img src="https://tex.z-dn.net/?f=%20log_%7B6%7D%2836%29%20%20%3D%205x%20%2B%206" id="TexFormula1" ti
Paladinen [302]

The value of x in the given equation is -\frac{4}{5}

From the question,

We are to solve the given equation

The given equation is

log_{6}(36) = 5x +6

This becomes

log_{6}(6^{2} ) = 5x +6

From one of the laws of logarithms, we have that

log_{x}(x^{2} ) = 2log_{x}(x)

and

log_{x}(x) = 1

∴ log_{6}(6^{2} ) = 5x +6 becomes

2log_{6}(6) = 5x +6

and

2(1)= 5x +6

2 = 5x +6

Now, subtract 6 from both sides

2-6 = 5x +6-6

-4 = 5x

∴ x = -\frac{4}{5}

Hence, the value of x in the given equation is -\frac{4}{5}

Learn more on solving equations here: brainly.com/question/11802986

4 0
2 years ago
Read 2 more answers
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