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jekas [21]
3 years ago
11

What is the value of the 11th term in the following geometric sequence? -5, -10, -20, -40

Mathematics
2 answers:
yaroslaw [1]3 years ago
3 0

You are multiplying 2 to each term each time.

-40 is the 4th term

-40 x 2 = -80

-80 x 2 = - 160

-160 x 2 = -320

-320 x 2 = -640

-640 x 2 = -1280

-1280 x 2 = -2560

-2560 x 2 = -5120

-------------------------------------------------------------------------------------------------------------------

-5120 is your 11th term.

-------------------------------------------------------------------------------------------------------------------

hope this helps

sammy [17]3 years ago
3 0

The common ratio is 2 because every term is being multiplied by 2

And the 11th term is -5120.

Hope this helps! Mark as Brainliest please! :)))

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Answer:

\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3

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\begin{cases}a+b=7,\\8a+3b=41\end{cases}

Subtracting b from both sides of the first equation, we get a=7-b. Substitute this into the second equation:

8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}

Therefore, the number of 8-onion bags is:

a=7-b,\\a=7-3,\\a=\boxed{4}

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

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What mixed number is equivalent to the improper fraction, 46/11? Show your work.
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If you have a savings account, contact your bank and find out the interest rate on that account. (If you don’t have your own acc
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Deposit $625 into a money market account with a 5% rate for 1 year would result in more money.

<h3>The interest rate of the bank</h3>

To do this, we make use of 1.50% interest rate

<h3>The exponential growth equation</h3>

Here, we have:

Initial, a= 625

Rate, r = 1.5%

The exponential growth equation is

A(t) = a * (1 + r)^t

So, we have:

A(t) = 625 * (1 + 1.5%)^t

Evaluate

A(t) = 625 * 1.015^t

Hence, the exponential growth equation is A(t) = 625 * 1.015^t

<h3>The value in 25 years</h3>

Here, t = 25.

So, we have:

A(25) = 625 * 1.015^25

Evaluate

A(25) = 906.84

Hence, the value in 25 years is $906.84

<h3>The investment with more money</h3>

<u>#Investment A</u>

a = 625

r = 1.5%

t = 5

So, we have:

A(5) = 625 * 1.015^5

Evaluate

A(5) = 673.3

<u>#Investment B</u>

a = 625

r = 5%

t = 1

So, we have:

A(1) = 625 * 1.5^1

Evaluate

A(1) = 937.5

By comparison, 937.5 is greater than 673.3

Hence, deposit $625 into a money market account with a 5% rate for 1 year would result in more money.

Read more about exponential growth equation at:

brainly.com/question/23729449

#SPJ1

3 0
2 years ago
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