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

Jenny is making tie dyed shirts for her class with her school colors, blue and yellow she used a total of 8 ounces of fabric paint the amount of blue paint is 3 times the amount of yellow make a diagram to show the ratio of blue to yellow paint

Answers

Answer:

The ratio of blue paint to yellow paint is 3:1

Step-by-step explanation:

Let

x -----> the amount of blue paint in ounces

y ----> the amount of yellow paint in ounces

we know that

x+y=8 -----> equation A

x=3y -----> equation B

Solve the system by substitution

Substitute equation B in equation A

3y + y = 8

4y = 8

y = 2

Find the value of x

x = 3(2) = 6

therefore

The amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces

Find the ratio

To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint

x/y = 6/2 = 3/1

That means -----> Of every 4 parts of paint, three parts are blue and one part is yellow.

Tammy buys a 4-gigabyte memory card for her camera. Dijonea buys a memory card with twice as much storage as Tammy’s. One gigabyte is 1,024 megabytes. How many megabytes of storage does Dijonea have on her memory card?

Answers

Answer:

Dijonea have 8192  megabytes on her memory card

Step-by-step explanation:

Capacity of Tammy's memory card =  4-gigabyte

given that Dijonea buys a memory card with twice as much storage as Tammy’s

Thus,

Capacity of Dijonea's memory card =  2*Capacity of Tammy's memory card

Capacity of Dijonea's memory card =  2*4-gigabyte = 8-gigabyte

Given that

1 gigabyte = 1,024 megabytes

we have to find value of 8 gigabyte in terms of megabytes

for that we multiple both side in above equation by 8

1 *8 gigabyte = 1,024 *8 megabytes

8 gigabyte = 8192  megabytes

Thus, Dijonea have 8192  megabytes on her memory card

6000 divided by 30 simplified what is it

Answers

Answer:

200

Step-by-step explanation:

6,000 divided by 30 is 200

Answer:

200

Step-by-step explanation:

6000 / 30

= 600 / 3

= 200

what is the percent of 74 is 37​

Answers

Answer:

50% take 37/74 ×100 to get the answer

The correct answer is 50.trust me it is

¿que número multiplicado por -53 da como resultado 5883?​

Answers

Answer: 76.701 x 76.701 ≈ 5883

Step-by-step explanation: Estoy seguro de que eso es todo

0.0000056 in scientific notation

Answers

Answer:

5.6 x 10 ^ - 6

Step-by-step explanation:

5.6 times 10 to the power of negative 6

Hope this helps! <3

Write a number between 1 and 50 that has at least 8 factors. Write the factors.

Answers

Answer:

Step-by-step explanation:

1 - 50

Primes: 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47

Not Primes: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50

At least 8 factors:

24 - 1, 2, 3, 4, 6, 8, 12, 24

30 - 1, 2, 3, 5, 6, 10, 15, 30

36 - 1, 2, 3, 4, 6, 8, 12, 18, 36

40 - 1, 2, 4, 5, 8, 10, 20, 40

42 - 1, 2, 3, 6, 7, 14, 21, 42

48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Let me know if I've missed any!

Any natural number and “0” means?

Answers

Answer:

Whole numbers

Step-by-step explanation:

Since natural numbers are any whole number excluding zero.

Answer:

This really confuses me, but it should be a whole number. I mean, right?

Hi I was a little confused on dilation can anyone help me (will mark Brainly)

Answers

Just divide the distance of each to point P by 2.

C would be 1 unit above and 2 units to the right of P.

D would be 1 unit below and 2 units to the right of P.

And so on...

Hope this helps

so a machine makes 80 copies in 2 1/2 min how many copies does it make in 0.25 min

Answers

Find copies per minute:

80 / 2.5 = 32 copies per minute.

Multiply copies per minute by total minutes:

32 x 0.25 = 8 copies

PLEASE HELP ME
-3(x - 1) > -3x - 2

Answers

Answer:

0>-5

Step-by-step explanation:

Answer:

0>-5

Step-by-step explanation:

Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.

What was his mistake?

He had a different number of points to the left of the vertical line than to the right of the vertical line.

He had a different number of points above the line of best fit than below the line of best fit.

Answers

Answer:

He had a different number of points above the line of best fit than below the line of best fit.

Step-by-step explanation:

This is the best likely answer to the question about Peter's attempt to use divide-center method to find the line of best fit on a scatterplot.

Answer:

a: He had a different number of points to the left of the vertical line than to the right of the vertical line.

Step-by-step explanation:

edg2021


Ivan rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 89 cents for each mile driven. Ivan had to pay $155.79
when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

156 miles

Step-by-step explanation:

155.79-16.95=138.84

138.84/0.89=156

Which value is equivalent to 27^-4(27^5•27^2)-1?


PLEASE HELP ME!!!
and don’t mind the clue circle on there i pressed it on accident!!!

Answers

Answer:

2nd option) 1/27^7 is equivalent to 27^-4(27^5•27^2)-1

pls help real quick its two questions

Answers

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

Mhm mhm that's right

Step-by-step explanation:

Hope this helps lolllll

whats 8989898 x 675 lol

Answers

Answer: 6068181150 lol

Step-by-step explanation:

9998799098

Step-by-step explanation:

idrk

Harold worked 40 hours between Monday and Friday and then more hours during the weekend. Over the whole week, he worked over 52 hours. (Use h as a variable.)

Answers

Answer:

h=12

Step-by-step explanation:

I think the question is asking how long he worked over the weekend.(sorry if that's not what they were asking)

More specifically: h is greater than or equal to 12

0.2 divided by what equals -1

Answers

-0.2

I hope this helps
Ask if you have any questions


PLEASE HELP
Given 28-6x=2x-84 prove x=14.

Answers

Answer:

-56

Step-by-step explanation:

substitute x with 14 in the equation and both answers will be -56

28-6x = 2x -84

Add 6x to both sides:

28 = 8x -84

Add 84 to both sides

112 = 8x

Divide both sides by 8

X = 112/8

X = 14

Hi can somebody help me with this equation, please? 50=2(x+3)+10

Answers

Answer: x = 17

Step-by-step explanation:

1) Subtract 10 from both sides

40 = 2(x+3)

2) Divide both sides by 2.

20 = x + 3

3) Subtract 3 from both sides

17 = x

x = 17

Answer: x= 17

Step-by-step explanation:

17 plus 3= 20

then you multiply 20 times 2 (PEMDAS)

Then you get 40 and 40 + 10

equals 50

Find the LCM of x2 + x,x2-1,x2-x

Answers

Answer:

[tex]first \: \\ x {}^{2} + x \\ = x(x + 1) \\ \\ second \\ {x}^{2} - 1 \\ = (x) {}^{2} - (1) { }^{2} \\ = (x + 1)(x - 1) \\ \\ third \\ x {}^{2} - x \\ = x(x - 1) \\ \\ therefore \: \: lcm = x(x + 1)(x - 1)[/tex]

It helps you a lot ☺️

Thank you ☺️☺️

I need help:)
Please help me

Answers

Answer:

No to both.

Step-by-step explanation:

lin makes sparkling orange juice by mixing 3 liters of orange juice with 4 liters of soda water. Noah makes sparkling orange juice by mixing 4 liters of orange juice with 5 liters of soda water. How do the two mixtures compare in taste explain your reasoning

Answers

Answer:

Step-by-step explanation:

Lin makes sparkling OJ using the ratio

3:4. Meaning 3L orange juice for every 4L sparkling water.

Noah makes sparkling OJ using the ratio 4:5. Meaning 4L orange juice for 5L sparkling water.

If we said that they both used 12L of orange juice,

Lin would have to use 16L of sparkling water

Noah would have to use 15L of sparkling water

So for the same 12L of orange juice, Lin uses more sparkling water.

Therefore her sparkling OJ would be more diluted (less orange flavour since you added more water) and more bubbly than Noah's.

-4x<20
X<-5
Describe the error that she made

What the answer

Answers

Answer:

your supposed to flip the sign for the less than or greater than sighs when dividing by a negative.

Step-by-step explanation:

-4x←20

x→-5

Please show your work? Thank you 10 points.

Answers

Answer:

13

Step-by-step explanation:

12^2+5^2=x^2

144+25=x^2

169=x^2

Take the square root of 169 and get 13

A local pizza shop has a membership program for frequent buyers. The membership costs $10 per month and members get a discounted price of $1.75 per slice of pizza. Autumn purchased a membership to this pizza shop.What would be the monthly cost for xx slices of pizza?

Answers

Answer:

Monthly cost = $10 + $1.75x

Step-by-step explanation:

Given the following :

Membership cost = $10 per month

Discounted price for members = $1.75 per slice of pizza

If Autum purchased the membership, the monthly cost for x slices of pizza

Monthly cost of x slices will be :

Membership cost + (discounted price * number of slices)

Monthly cost = $10 + ($1.75 * x)

Monthly cost = $10 + $1.75x

The perimeter of the triangle below is 4x + 3y. Find the measure
of the missing side.

Answers

Answer:

2x + 3y

Step-by-step explanation:

first you add the two known sides: (x-y)+(x+y) = 2x

Then you subtract the answer (2x) from the total perimiter (4x+3y) :

4x+3y-2x = (4x - 2x) + 3y = 2x + 3y

a grocery storr buys items and then applies a markup of 70%. Find the markup if the original cost was 10$

Answers

Answer:

7

Step-by-step explanation:

70/10=7

Write the following as an inequality.
9 is greater than x, and 2 is less than or equal to x
Use x only once in your inequality.
SOMEBODY HELP PLEASE!!!

Answers

9>x and 2< or equal to x


A convenience store requires that Ayumi spend $4 or more if she wants to pay using a debit card. Donuts cost $0.80 each. A
bottle of orange Juice costs $1.20. Ayumi payed for 1 orange juice and d number of donuts. Write the equation that represent
the situation.

Answers

Answer

1.20+0.80d ≥ 4.00 is the equation. If you are trying to solve for the minimum of donuts she needs to buy so it is over $4.00, then it is 4

Step-by-step explanation:

So in the problem we know she already has bought one bottle of orange juice and needs to buy a certain amount of donuts but we know they are each 0.80 so that will become 0.80d. The 1.20 + 0.80d have to be greater than or equal to 4.00 so she can pay with the debit card and that is why we put the ≥ symbol.

Answer:

.80 × 4 =$3.20

orange juice is $1.20

d =.80×4 +1.20

d=$4.40

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