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k0ka [10]
3 years ago
7

Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25

6,64,16,4,...}
Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

  D.)  {256,64,16,4,...}

Step-by-step explanation:

Look for the sequence in which adjacent terms are related by a common ratio.

  A. 10/6 ≠ 6/2

  B. 9/5 ≠ 5/3

  C. 8/4 ≠ 24/8

  D. 64/256 = 16/64 = 4/16 = 1/4 . . . . this exponential sequence has a common ratio of 1/4

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Solve for n -3n-5=16
Nezavi [6.7K]

Answer:

n = -7

Step-by-step explanation:

Solve for n:

-3 n - 5 = 16

Hint: | Isolate terms with n to the left-hand side.

Add 5 to both sides:

(5 - 5) - 3 n = 5 + 16

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

-3 n = 16 + 5

Hint: | Evaluate 16 + 5.

16 + 5 = 21:

-3 n = 21

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 21 by -3:

(-3 n)/(-3) = 21/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 21/(-3)

Hint: | Reduce 21/(-3) to lowest terms. Start by finding the GCD of 21 and -3.

The gcd of 21 and -3 is 3, so 21/(-3) = (3×7)/(3 (-1)) = 3/3×7/(-1) = 7/(-1):

n = 7/(-1)

Hint: | Simplify the sign of 7/(-1).

Multiply numerator and denominator of 7/(-1) by -1:

Answer: n = -7

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3 years ago
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Answer:

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3 years ago
Find the area of an equilateral triangle with apothem 7 cm. Round to the nearest whole number.
Burka [1]
The answer is 255cm<span>²</span>
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3 years ago
The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of
mrs_skeptik [129]

Answer:

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

The minimum daily balance on which it should be willing to pay interest is $1,198.

Step-by-step explanation:

We have a normal distribution with mean = $800 and standard deviation = $150.

a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.

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b) We must calculate from what amount only 6% of the accounts remain.

This is done by solving:

P(z>x)=0.06

This happens for a z-value of z=2.652.

This corresponds to a amount of $1,198.

x=\mu+z*\sigma=800+2.652*150=800+398=1,198

The minimum daily balance on which it should be willing to pay interest is $1,198.

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4 years ago
What is the solution to this system?<br> 3x+2y=45<br> 4x+-y=5
hodyreva [135]

(I) 3x + 2y = 45

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Get y alone in equation (II)

4x - y = 5\\y = 4x - 5

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Insert x = 5 in equation (II)

y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15

5 0
3 years ago
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