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stiks02 [169]
3 years ago
11

Jeffrey is going to charge an initial fee of $10 for mowing lawns, plus an hourly rate. He knows that he wants to

Mathematics
1 answer:
zmey [24]3 years ago
4 0

Answer:

B 15

Step-by-step explanation:

10 dollar + 2 hours of work 15 x 2

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Someeee one?????????????????
Ad libitum [116K]

Answer:

Option B) a_{n} = 2\cdot 4^{n-1}

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

a_{n} = a_{1}\cdot r^{n-1}

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

r=\frac{8}{2} = 4

You can try other consecutive numbers too, you will get the same common ratio

r=\frac{32}{8} = 4

r=\frac{128}{32} = 4

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

a_{n} = 2\cdot 4^{n-1}

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

a_{n} = 2\cdot 4^{n-1}

Lets find out the 2nd term

Substitute n = 2

a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8

Lets find out the 3rd term

Substitute n = 3

a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32

Lets find out the 4th term

Substitute n = 4

a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128

Lets find out the 5th term

Substitute n = 5

a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512

Hence, we are getting correct results!

6 0
3 years ago
Miguel saved $355 in 5 weeks. He saved equal amounts of money each week. How much money would he save in 15.5 weeks ?
Andrei [34K]

Answer:

A

Step-by-step explanation:

$355:5

$355 divided by 5=$71

5 divided by 5=1

$71 per week

$71x15.5=$1,100.50

$1,100.50 in 15.5 weeks

7 0
3 years ago
What is the solution of the equation 4p/6+27
anyanavicka [17]
The answer is 36 I'm pretty sure
7 0
3 years ago
Nancy drives 624 miles in 10 hours, driving the same number of miles each hour. Rebecca drives 660 miles in 12 hours, driving th
olya-2409 [2.1K]

Which statements are true about the ordered pair  <span>(−1, 5)</span> and the system of equations?

<span>{<span><span>x+y=4          </span><span>x−y=−6</span></span></span>

Select each correct answer.

<span>The ordered pair  <span>(−1, 5)</span> is a solution to the first equation because it makes the first equation true.The ordered pair  <span>(−1, 5)</span> is a solution to the second equation because it makes the second equation true.The ordered pair  <span>(−1, 5)</span> is not a solution to the system because it makes at least one of the equations false.The ordered pair  <span>(−1, 5)</span> is a solution to the system because it makes both </span>
6 0
3 years ago
What is the answer to this equation <br> 3/7=c+4/35
sergey [27]
C=11/35

You subtract 4/35 from both sides.
7 0
3 years ago
Read 2 more answers
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