juan saves 12 the first week of the year. he increase the amount each week by 4, write a function that represent the sequence

Answers

Answer 1

Answer:

12,16,20,24,28,32,36,40 (continue to add 4)

Step-by-step explanation:

Answer 2

A function that represents the given sequence is f(n) = 4(2+n).

What is an arithmetic sequence?

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, Juan saves 12 in the first week of the year, and increases the amount each week by 4, therefore, the difference between the amount of any two consecutive weeks is 4.

Hence, it represents an arithmetic sequence with the first term a₁ = 12 and the common difference d = 4.

The nth term of an arithmetic sequence is given by:

aₙ = a₁ + (n-1)d

Substitute a₁ = 12 sand d = 4 into the above equation:

aₙ = 12 + (n-1)4

   = 12 +4n -4

   = 8 + 4n

   = 4(2+n)

Hence, a function that represents the given sequence is f(n) = 4(2+n).

Learn more arithmetic sequences here:

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Related Questions

a husband and wife discover that there is a 4% probability of their passing on a hereditary disease to 3 of their children if they plan to have their children what is the probability of the event that at least one child will inherit the disease

Answers

"4% probability of their passing on a hereditary disease to 3 of their children"

I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.

In case its the first one:

To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.

if the chance of having the disease is 0.04, then the chance of not having it is 0.96

for three children: 0.96*0.96*0.96

=  0.884736

to find the chance of this not happening:

1 - 0.884736

= 0.115264 ≈ 12%

there is a 12 percent chance at least one of the children will inherit the disease

In case its the second one:

the probability of all 3 children having the disease is 0.04,

the probability of 1 child getting the disease is unknown, x.

this means

x*x*x = 0.04

x ≈ 0.342

now we just basically repeat the steps above

1 - 0.342

= 0.658 (probability that one child does not get the disease)

0.658 * 0.658 * 0.658

= 0.284890312 (probability that all 3 children do not get the disease)

1 - 0.284890312

= 0.715109688 ≈ 72%

there is a 72 percent chance at least one of the children will inherit the disease

Tressa’s home is 45 mile from school. Anton’s home is 35 mile from school. How many times the distance from Anton’s home to school is the distance from Tressa’s home to school?

Answers

Answer:

1.3

Step-by-step explanation:

i really need help please

Answers

Answer:

207+ 364 = 571

Step-by-step explanation:

i guess?._.

Need help!! timed, and will give brainlist

Answers

Answer: 90

Step-by-step explanation:

Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $5,726.70. How many shares did he purchase.

Answers

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

a. How much higher is 500 than 400 m?
b. How much higher is 500 than -400 m?
C. What is the change in elevation from 8,500 m to 3,400 m?
d. What is the change in elevation between 8,500 m and -300 m?

Answers

A 100 m
B 900m
C -5,100m
D- 8,800

Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?

Answers

Answer:

4:45

Step-by-step explanation:

hope this helps

The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?

40 feet
4/33feet
16/33feet
20/33feet

Answers

Answer: 4/33 feet

Explanation: 20/33 - 16/33 = 4/33

6(3x+12-4x)=2x+2+3x solve for x

Answers

Answer:

its 70/11 or 6.36

Step-by-step explanation:

12+13×4 what is the answer best explanation will get brainliest​

Answers

64

Multiply 13 by 4

12 + 52

Add 12 and 52

64

Hello there, this is just a basic PEMDAS problem

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

12+13×4 what is the answer

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]12+13\cdot4[/tex]

_______________

[tex]{\huge{\boxed{\mathbb{PEMDAS\:RULE}}[/tex]

Follow PEMDAS rule

Parenthesis Exponents Multiplication or Division Addition or Subtraction

_______________

So first we will multiply [tex]13[/tex] by [tex]4[/tex] giving us [tex]52[/tex]. Now just add [tex]12+52=64[/tex]

_______________

[tex]{\huge{\boxed{\mathbb{ANSWER}}[/tex]

64

On a separate sheet of paper, graph the function. In the answer box, describe the function.
f(x) = {-5x+2 if x 2
2x - 2 if x 22

Please type your explanation (no links).

Answers

Answer:

  see attached

Step-by-step explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

Francine recorded today's high
temperature as 78.6°F. Today's low
temperature was 4.7°F less than
that. How much cooler was today's
low temperature than yesterdays low
temperature, which was 77.4°F?

Answers

Answer:

3.5

Step-by-step explanation:

the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so

78.6-4.7 which equals 73.9

the second part of the problem asks the difference between yesterday's low and today's.

we can take the two lows and subtraction them to find this answer.

77.4-73.9 which equals 3.5

so today's low was 3.5 degrees cooler than yesturdays

PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line

Answers

three points would include (0,0), (6,10), (9,15) (-3,-5)

One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *

Answers

Answer: I need the map good sir please show it

Step-by-step explanation:

Given: -3x+y=1. Write the equation In general form Ax + By + C =0.
3x - y = -1
3x = y + 1 = 0
-3x + y -1=0​

Answers

The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.

So,

Equation I = (3x + y = 1) and

Equation II = (6x + 2y = 2)

= { 2(3x + y) = 2}

= 3x + y = 2/2

= 3x + y = 1

So, The given equations are 3x + y = 1 and 3x + y = 1.

Thus, there is one equation in two variables.

So, the given equations have an infinite number of solutions.

Answer:

1st option; 3x-y=-1

Step-by-step explanation:

-3x + y = 1

we can divide through by -1 so that the 'x' value is positive:

3x - y = -1

Help help help help help help

Answers

[tex]\huge\bold{\purple{\bold{⚡133°⚡}}} [/tex]

Step-by-step explanation:

Co interior angles' sum is 180°

So, 180-67=133133°

hi if you need help you can tell me

Answers

Answer: Nope, im currently doing well right now. Thank you though.

Step-by-step explanation:

Hey, i do. actually i’m not sure if theres a way you can check my questions! but i do. please and thanks you!!


If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?

Answers

Answer: 12.25 ( each side )

Step-by-step explanation

Divide 49 by 4, which is 12.25


PHOTO ATTACHED PLESE HELPPPP!!!!!!!!!!!!!!

Answers

Answer:

[tex]5x^2 + 3x - 2[/tex]

This answer is correct because I simplified using like terms.

Step-by-step explanation:

Subtracting Polynomials

They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :

          [tex]ax^2[/tex]     and    [tex]2ax^2[/tex]    are like terms because they have the base  [tex]ax[/tex]

Step 1: Move like terms together

First, let's remove all parenthesis:

[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]

Now let's move all like terms together:

[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]

Step 2: Simplify

Now we can add and subtract the like terms like we do in any other problem

[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]

Step 3: Explaining your answer

Just say: "This answer is correct because I simplified using like terms"

-Chetan K

The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?

Answers

Answer:

the expressions are: x + y = 43  and x - 13 = y

x = 28

y = 15

Step-by-step explanation:

hope this helps

may i get braineist pls

Answer:

Smaller is 18, larger is 25.

Step-by-step explanation:

x + y = 43

y = x - 7

x + (x - 7) = 43

2x - 7 = 43

2x = 50

x = 25 (larger)

25 - 7 = 18 (smaller)

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Answers

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life. Using the vase for a scale factor, how tall was the table? PLEASE ACTUALLY ANSWER AND DON'T JUST PUT I DON'T KNOW OKAY? ​

Answers

Answer:

5.67

Step-by-step explanation:

The scale factor of the height of the image is 7.89.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image.  The scale factor is the ratio of the actual size to the scaled size of the object.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.

The scale factor will be calculated as,

Scale factor = ( 30 / 3.8)

Scale factor = 7.89

To know more about scale factors follow

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Enter the number that belongs in the green box

Answers

Answer:

72°

Step-by-step explanation:

The diagonals of a parallelogram intersect at a point that forms the center of symmetry of the parallelogram.

the answer is 72°, since vertical angles are equal to each other.

true or false

A political party is a group of people who seek to control government by winning elections and holding office

Answers

Answer:

True

Step-by-step explanation:

Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.

Solve.
Sophia wants to buy a pair of shoes online. Shop X has a price of 35.90 CAD. The price at
Shop Y is 21 British pounds (GBP). Compare the prices using Canadian dollars. If 1 CAD =
0.75 GBP, which shop offers a better deal? Explain.

Answers

Answer:

Shop Y

Step-by-step explanation:

In order to compare, we need to make both the same units first. Since they give us the conversion factor 1 CAD=0.75 GBP, we can plug this in to the shoes from shop X. We get 35.90*0.75=26.93 GBP.

Now we can compare. Since 21 GBP < 26.93 GBP, we can see that shop Y's shoes are cheaper, and therefore the better deal.

Solve the inequality and graph the solution.
j/4>2

Answers

Answer:

J=8

Step-by-step explanation:

Multiply 4 by 2 and then you get 8 and 8/4 is 2 so J = 8

sorry if im incorect

Help me please i really need it​

Answers

Answer is    35:25:81

=======================================================

Explanation:

The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.

We have:

50 red70 green42 yellow50+70+42 = 120+42 = 162 total

The ratio of green to red to total is 70:50:162

To reduce the ratio, we divide all three parts of that ratio by the GCF 2

70/2 = 3550/2 = 25162/2 = 81

The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.

This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.

Select all equations that do NOT have a solution.
A 8x + 4x = 0
B 6x + 2 = 4x + 2 + 2x
C 4x – 8x – 3 = 6 – 4x
D 5x + 1 = 1 – 5x
E 12x – 3 – 5x = 9 + 7x – 6

Answers

Answer:

C and E are the answers:)

Step-by-step explanation:

Hope this helps!

Answer- C,D, and E

If you plug in any number for those proplems you will get a different number a each side

SOSSSS:

Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2

Answers

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

one integer is four more than another integer. the sum of the integer is twenty-six. find the integers

(with solution and check po pls, NONSENSE=REPORT)

Answers

We know that one integer is four more than another integer. This gives us the equation: x + 4 = y

Next, we know both integers give us 26. x + y = 26

Firstly, we can solve for x in x + y = 26. This gives us x = -y + 26. Next, we plug that into our other equation. -y + 26 + 4 = y. This gives us -y + 30 = y. Then, 30 = 2y or 2y = 30. Finally, we have y = 15. One of our integers is 15.

Next, we plug 15 into our equation. I will plug it into x + y = 26. x + 15 = 26. This gives us x = 11.

14 is 4 more than 11. They both add to 26.
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