Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value of the given term, and explain what it means. Darnell starts saving the same amount from each week′s paycheck. The table shows the total balance f(n) of his savings account over time in weeks. Time (weeks) n 1 2 3 4 Savings account balance ($) f(n) 260 360 460 560 Determine the value of f(11) and tell what it represents in this situation. f(n) = + (n − 1) f(11) = After 11 weeks, Darnell′s savings account will have a total of $ .

Answers

Answer 1

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

[tex]a_{n}=\frac{n}{2}[2a+(n-1)d][/tex]

Compute the value of f (11) as follows:

[tex]f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100][/tex]

        [tex]=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360[/tex]

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.


Related Questions

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Answers

Answer:

2x-3

Step-by-step explanation:

If you subtract 2x from 4x-3, you got 2x-3. This must be the answer you're looking for. Hope it helps!

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Use the information to diswer
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

To find the decimal equivalent, we can divide the numerator and denominator together.

14 ÷ 25 = 0.56

Best of Luck!

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Answer: Assembly

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Only the blue line has a positive slope.  So the new line is parallel to the blue line.

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Answers

Answer:

The time it will take will be ;

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Step-by-step explanation:

We want to write the time it would take to run the tests if the technicians work together.

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a

Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

Answer:

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Kathryn had $20 saved and saved $5 each week, w, after. Write an algebraic expression to represent the amount she has saved after a certain number of weeks.

Answers

Answer:

20 + 5w

Step-by-step explanation:

20 + 5w

Were 20 is the amount she already has, and 5w is 5 times the unkown amount of weeks (w).

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Because if she earns 5 every week that’s 5w and if she already had 20 that’s +20. So it’s 5w + 20 or 20+5w

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Answers

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Answers

Answer:

-22

Step-by-step explanation:

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Answers

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Answer:

4 years

Step-by-step explanation:

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Subtract 3000 from both sides;

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Answers

Answer: 6.73 × 10 -8

Step-by-step explanation:    

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.                                                                                      

What is the value of h(−2) when h(x)=3x+1?


Enter your answer in the box.

​h(−2)=​

Answers

Answer:

-5

Step-by-step explanation:

The answer is -5 because we have -2 as x. The function is h(x)=3x+1. 3 times -2=-6. When we add 1 to the result, we have -5 as the answer. Hope it helps!

The value of h(−2) when h(x)=3x+1 is h(-2) = -5

From the question,

The given function is h(x)=3x+1

To determine the value of h(-2), we will put x = -2 and evaluate

From

h(x)=3x+1

h(-2) becomes

h(-2)=3(-2) + 1

h(-2) = (3× -2) + 1

h(-2) = (-6) + 1

h(-2) = -6 + 1

h(-2) = -5

Hence, the value of h(−2) when h(x)=3x+1 is h(-2) = -5

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Pls help i will mark brainliest if you get it correct♡︎シ

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Answer:

its the first one. hope this helps

Answer: the first one {-3,-1,0,1,5}

Domain is x
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