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

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

Learn more here: https://brainly.com/question/17762942

What is the sun's radius in miles.​

Answers

Answer:

432,690 mi I think

Answer:

432,690 miles

Are -5/10 and -4/8 equivalent

Answers

Yes they are equivalent

what is greater, -16 or -3

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is closer to 0 on a number line.

A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.

Answers

The slope is 0.75 as 3/4 = 0.75

Answer:

Step-by-step explanation:

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

Clearly, the blue line goes through the point (0, 3) (this is the y-intercept).  Follow this blue line upward and to the right until it intersects the horizontal line at the top of the diagram.  We must estimate the x-value of this point of intersection.  A good approximation would be 5 1/3.

Now estimate the slope of the blue line.  Starting at (0, 3), we move 5 1/3 units to the right (this is the "change in x," or "run")  We end up at (5 1/3, 3).  

Now, from the horizontal line y = 3 upward to the horizontal line at the very top of the graph, is 5 units.  This is the "rise."

Thus, the approximate value of the slope here is

                              5               5             15

m = rise / run = ---------- = -------------- = ----------- = m

                          5 1/3           16/3             16

23% of 75 is what number?

please answer it like the image!

Answers

Answer:

23% of 75 is 17.35 ok i hope it helps

Subtract 2x from 4x - 3

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!

2x -3
4x-2x= 2x
You can’t simplify anymore

Perform the indicated operation.

11(-2)

22
9
-9
-22

Answers

Answer:

-22

Step-by-step explanation:

When you multiply a positive and negative number together, it becomes negative.

Multiplication is repetitive addition.

11(-2) = -11 + -11 = -22

what is the answer to the question 1/2n+5=3?

Answers

n= -4

Have an amazing day :3

Multiply (X^4+1)(3x^2+9x+2)

Answers

3x^6+9x^5+2x^4+3x^2+9x+2

Answer:

whatever they said up there

yee yee

Step-by-step explanation:

Help me pls. Show the working for the following questions in the picture

Answers

1 = 169
2= 144
3= 25
4= 64
5= 100
6=49
7= 9
8=121
9= 36

i need help again please I need help​

Answers

Answer: Assembly

Step-by-step explanation: I’m just guessing, but I think it’s assembly because, well, there’s a lot of people assembled there

y = 4x - 6
m =
b=( , )

find the slope and y

Answers

Answer:

2,4 y=4

Step-by-step explanation:

Answer: m=4x

               b=-6

Step-by-step explanation:

I am pretty sure you are just finding those things in the question right? If not I apologize.

Plz help me fast will give brain list

Answers

17,400 - 3000 = 14,400

Let x be the number of months.

300x = 14,400

Divide by 300.

x = 48

12 months = 1 year

4 years is the answer.

Answer:

4 years

Step-by-step explanation:

Equation: 300x + 3000 = 17400

Subtract 3000 from both sides;

300x = 14400

Divide both sides by 300;

x = 48 months

48 months = 4 years

Solve 4(x+2) - 5 = -21

Answers

Answer:

x=−6

Step-by-step explanation:

Answer:

your answer will be -6

Step-by-step explanation:

4x+8-5= -21

8-5=3

4x + 3 = -21

subtract three from both sides

4x= -21

-21 divided by 4

= -6

Mrs.Santos has two kinds of flowers in her garden. the ratio of lilies to daisies in her garden is 3:2
if there are 12 lilies what is the total number of flowers in her garden

Answers

Answer:

there would be 18 total flowers in her garden

Answer:

12:8

Step-by-step explanation:

I think this is the answer. I think this help

help!!
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).

Pls consider marking me as Brainliest! It would mean a lot!

Answer: 5w + 20

Step-by-step explanation:

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

Pls answer
(5x+7) (8x-7) solve for x

Answers

Answer:

where is the =...........

Answer: 40x2+21x−49

Step-by-step explanation:

choose the best decimal equivalent to 14/25.

Answers

Answer:

0.56

Step-by-step explanation:

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

14 ÷ 25 = 0.56

Best of Luck!

0.56 would be the best decimal equivalent

need help fastttt plssss I give the brainliest answer to who is correct plss

Answers

Answer:

$6.75

Step-by-step explanation:

I took math in high school

Determine the 50th term in the sequence defined by an = -11+ 5(n − 1).

Answers

The 'nth' term is a formula with 'n' in it which enables you to find any term of a sequence without having to go up from one term to the next. 'n' stands for the term number so to find the 50th term we would just substitute 50 in the formula in place of 'n'.

find the perimeter ​

Answers

Answer:

61 7/20

Step-by-step explanation:

Use the information to diswer
The area of the triangle shown is 40.0 cm2.
?
12.5 cm

What is the height of the triangle?
A. 3.20 cm
OB. 6.40 cm
OC. 13.8 cm
OD. 27.5 cm

Answers

It’s B because
Explanation: Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle. The formula to find the area of a triangle is: a=12hb.

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

Answers

Answer:

its the first one. hope this helps

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

Domain is x

Two laboratory technicians are running product quality tests. One technician takes 6 minutes less than the
other. What equation would give the amount of time, t, it would take to run the tests if the technicians work
together to split the work on the different tests?

Answers

Answer:

The time it will take will be ;

t = (2x -6)/(x^2-6x)

Where x is the amount of time

in minutes taken by the technician who is slower

Step-by-step explanation:

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

Let the time taken by the first technician be x minutes

The time that would. taken by the second is 6 minutes less which is (x -6) minutes

So if they work together, how long will it take?

That would be ;

t = 1/x + 1/(x-6)

t = (x + x -6)/(x(x-6))

t = (2x -6)/(x^2 -6x)

The time it will take if they both work together is ;

t = (2x -6)/(x^2-6x)

where x minutes is the amount of time taken by the technician who is slower of the two

7.4 x 10^-8 - 6.7 x 10^-9 =

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.                                                                                      

please help me with this

Answers

Answer:

its yes

I'm fighting ransome cuz I need at least 20 characters

Yes ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

The first integer is

A. 1
B.0
C.-1
D.None of the above

Answers

Answer:

a

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

please somebody i need help with this question :c
A rectangular prism is completely packed with 84 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism?

Answers

Step-by-step explanation:

The volume of a cube is s^3 where s is the length of a side..

So If you have 84 cubes with sides of 1/3 in the total volume is:

v=84(1/3)^3 in^3

v=84/27 in^3

v=28/9 in^3

V=3.11 in^3 (to nearest hundredth of a cubic inch)

4(n+10)????????????????!!

Answers

Answer:

4n+40

.................

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