Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?

Mr. Red's First Year Salary Is $30,000 And It Increases By $500 Each Year. What Is Theexplicit Rule For

Answers

Answer 1

Answer:

[tex]a_{n} =500(n) + 30,000[/tex]

Step-by-step explanation:

Hey there!

This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by

After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].

Answer 2

Answer:

The answer is [tex]a_{n} =500n+29,500.[/tex]

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.

Step-by-step explanation:

The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.

Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].


Related Questions

what is the approximate diameter of a sphere with a volume of 268cm^3

A. 12cm
B. 8cm
C. 16cm
D. 4cm

Answers

Answer:

B it is the right answer

Step-by-step explanation:

2. Solve for the missing side

It is required to show the work when you got the answer

Answers

Answer: The answer is 15.

Step-by-step explanation:  I used the pythagorean theorem, which is squaring the "legs" of the right angle, which is 9m and 12m, then adding the answer and using the square root of the sum.

I think of a number . If I subtract six from it and multiply the difference by 4 the result is 36. Evaluate the number that I thought of.

Answers

Answer:

15

Step-by-step explanation:

First we can make an equation by replacing the unknown number with x :

First step of problem:

x-6

Second part of problem:

4(x-6)

Third part of the problem:

4(x-6)=36

First we can expand the bracket to give us:

4x-24=36

Now we add 24 to both sides:

4x = 60

Now we divide both sides by 4 for our final answer of

x= 15

To check this answer we can put it back into the problem:

4(15-6)=36

4(9)=36

Therefore our answer that was thought was 15.

PLEASE HELP
How do I find the periods??

Answers

Answer:

look for where the graph intertacts.

Step-by-step explanation:

What is 180 divided by 2

Answers

Answer:

90

Step-by-step explanation:

Do it on the calculator 180÷2

An angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

If an angle measures x degrees, the measure of its supplement is (180-x) degrees.

This means that x-62.4 = 180-x, meaning that x=121.2.

So, the angles are 121.2 and 58.8 degrees.

You find another case with a sale price of $4.68 after a 40% discount. What is the original price of the case?

Answers

Answer:

11.7

Step-by-step explanation:

Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.

11.7 is the original price.

Brainliest please?

Help! Can’t figure out

Answers

Answer: Number 11 is       21/5

Number 10 is  35/96

Step-by-step explanation:

in the scale drawing of a
park the scale is 1 cm: 10 m find the area of the actual Park

Answers

Answer:

please what is the dimension for the length and breadth

7) There are 260 athletes at a meeting. They
each shake hands with everyone else.
How many handshakes were there?

Answers

33670
There were 260 people this means 1 person shakes the hand 259 people so we multiply 260 by 259 but each handshake count twice as there are two people involved so we will divide this by two

the question is there pls help im going to die i don't get this done. (21 points) promise :(

Answers

Answer:

B

Step-by-step explanation:

four times as much;

Alex ate 4 less the 2 times the slices of pizza that Oliver ate.If Oliver ate 8 slices of pizza how many slices did alex eat?

Answers

Answer: 12

Step-by-step explanation:  2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.

 

consider the right triangle
8 in. 5 in. x

what is x

Answers

x²= 8²-5²

=39

x=V39

..........

Alg I Sem 2 Final Comp South Panola MS 2021-2022
Hines, Tre'Darious
10 of 65
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Use the information given to answer the question.
A producer tracks the number of viewers per week for two television shows. The table shows functions
f(w) and g(w) representing the approximate number of viewers, in millions, w weeks after the tracking
begins.
Television Show 1
Television Show 2
f(x) = 14.7(0.94)
g(w) = 15.2(1.03)
Part A
For Television Show 1, which statement is true?

Answers

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f and g representing the approximate number of viewers, in millions,  x weeks after the tracking begins.

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Esmeralda has a magnet in the shape of a square. Each side of the magnet is 3 inches long. What is the perimeter of her magnet?​

Answers

Answer:

12 inches

Step-by-step explanation:

This is a square of sidee length 3 inches.  As there are four (equal) sides, the perimeter of this square magnet is 4(3 inches), or 12 inches.

The value of a motorcycle each year follows the sequence $12,000 $9,600, $7,680, $6,144

Which formula represents the recursive definition of the sequence where n represents the number of years?



Answers

The recursive definition of the geometric sequence is given by:

A. [tex]a_n = (0.8)a_{n-1}[/tex]

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The basic recursive relation is given as follows:

[tex]a_n = qa_{n-1}[/tex]

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, considering the given sequence, the common ratio is given by:

[tex]q = \frac{6144}{7680} = \frac{7680}{9600} = \frac{9600}{12000} = 0.8[/tex]

Hence option A is correct.

More can be learned about geometric sequences at https://brainly.com/question/11847927

The values of the motorcycle follows a geometric sequence

The recursive definition of the sequence is (a) [tex]a_{n} = 0.8a_{n-1[/tex]

How to determine the recursive definition?

The values are given as:

$12,000 $9,600, $7,680, $6,144

Calculate the common ratio using:

r = a2/a1

So, we have:

r = 9600/12000

Divide

r = 0.8

Recall that:

r = a2/a1

So, we have:

a2/a1 = 0.8

Multiply both sides by a1

a2 = 0.8a1

Rewrite as:

[tex]a_{2} = 0.8a_{2-1[/tex]

Substitute n for 2

[tex]a_{n} = 0.8a_{n-1[/tex]

Hence, the recursive definition of the sequence is (a) [tex]a_{n} = 0.8a_{n-1[/tex]

Read more about sequence at:

https://brainly.com/question/7882626

The pre-image has coordinates D(-1,3),E(4,3),F(4,1),G(-1,1) What is the image of DEFG

Answers

Answer:

•SEE ABOVE ATTACHMENT•

The image of DEFG forms QUADRILATERAL SHAPE

hope it helpsmark as brainliast

80 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Place a point at the point of intersection of the three medians. Now change the positions of vertices A, B, and C, and observe how the medians change. Is there any change in the way the medians intersect?

Answers

Answer:

was there a table diagram or anything or you only got the question like that?

Answer:

No, the medians continue to intersect at a single point.

Step-by-step explanation:

Plato

Evaluate the function it at x = -1 and x = 5.
P(x)=
x²+2 if x <4
2x+10 if x >4

Answers

Answer:

  f(-1) = 3

  f(5) = 20

Step-by-step explanation:

When evaluating a piecewise-defined function, the first step is to locate the argument value in the correct domain. Then the corresponding function is evaluated in the usual way.

__

For x=-1, the relevant piece is the one defined for x < 4:

  f(x) = x² +2

  f(-1) = (-1)² +2 = 3

__

For x=5, the relevant piece is the one defined for x > 4:

  f(x) = 2x +10

  f(5) = 2(5) +10 = 20

_____

Additional comment

The function written in this problem statement is "undefined" at x=4, so the graph would ordinarily show a "hole" there. We're not sure whether that is intentional.

Work out the gradient of the straight line through (-2, 1) and (1, 10)

Answers

The answer to your question is:
3

Steps:

Answer:

3

Step-by-step explanation:

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 13in, and the radius of the shaded region is 4in.

Use the value 3.14 for π. Round your answer to the nearest hundredth.

Answers

Answer:

The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

Range of x:  [tex]0\leq x < 12[/tex]    or    [tex]0\leq x\leq 11[/tex]

Largest possible value of [tex]x[/tex] is 19

Mean mark = 11.41 (nearest hundredth)

Step-by-step explanation:

The mode is the number that appears the most, so if the mode is 10, [tex]x[/tex] has to be smaller than 10.

We can say this in two ways:

[tex]0\leq x < 12[/tex]    or    [tex]0\leq x\leq 11[/tex]
since the number of points and players are positive integers.

The median is the middle value when the values in the data set are placed in order from smallest to largest.

If 10 is the median mark, to find the maximum number of 15s, sum the number of players scoring 5 and 10 points and subtract 1:

8 + 11 = 19

Therefore, the largest possible value of [tex]x[/tex] is 19.

The mean is the total of the numbers divided by how many numbers there are.  

To find the total marks, multiply the number of points by the number of players, and sum (using x = 19):

[tex]\textsf{Total points}=5 \times 8+10\times12+15 \times 19=445[/tex]

Total number of players = 8 + 12 + 19 = 39

[tex]\textsf{mean mark}=\dfrac{445}{39}=11.41\:\textsf{(nearest hundredth)}[/tex]

find the value of x in 7x =1​

Answers

Answer:

[tex]\displaystyle \large{x=\dfrac{1}{7}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{7x=1}[/tex]

Divide both sides by 7:

[tex]\displaystyle \large{\dfrac{7x}{7}=\dfrac{1}{7}}\\\displaystyle \large{x=\dfrac{1}{7}}[/tex]

Therefore, the solution is x = 1/7

Answer:

[tex]x =\frac{1}{7}[/tex]

Step-by-step explanation:

Find the value of x in 7x = 1​

[tex]7x = 1 < == divide\ both\ sides\ by\ 7\\\\\frac{7x}{7}=\frac{1}{7}\\\\ x =\frac{1}{7}[/tex]

Hope this helps!

Please help me with the question below thanks.
p.s who every gives the right answer will be the brainliest :)

Answers

Answer:

200.96 inches squared

Step-by-step explanation:

lookie here! pretend the circle is a cookie. ok i love cookies. NOW IM MOTIVATED. lookie here, its just the way the cookie tear.

alright so your teacher told you that the area of a circle is 3.14 times the radius squared.

the radius here is 8 inches. 8 squared is eight times eight. that is 64.

cool. now 64 times 3.14 is:

200.96

amazing

(prepare to get hurt and mangled, like kurt angle, rookie year!)

i hope you have a swag day

What does volume measure?

a
the total distance around a figure
b
the average of the sum of all items
c
the exposed surface of a solid shape
d
the amount of space occupied by an object (its capacity)

Answers

Answer: d - the amount of space occupied by an object (its capacity)

Explanation:

        [a] The total distance around a figure is the perimeter, this does not answer our question.

        [b] The average of the sum of all items is the mean, this does not answer our question.

        [c] The exposed surface of a solid shape is the object's surface area, this does not answer our question

        [d] The amount of space occupied by an object is the object's volume, so this does answer our question.

Would you please look at this question? ​

Answers

Answer:

The answer to this question is "x"-meter = 48 = B)

whats the answer need it quick

Answers

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]

factorise fully: 9x² + 3x³

Answers

Answer:

3x^2(3+x)

Step-by-step explanation:

please mark me as brainlest

Answer:

3x(3x+[tex]x^{2}[/tex])

Step-by-step explanation:

just take 3x as common and divide the other values by it

coefficient on a scatter plot

Answers

The chart that is closer to 1 is B.

hi guys I need this ASAP please answer ty​

Answers

Answer:

6. 30% 7. -30%

Step-by-step explanation:

6. The total comment after the song released =5000

Then, the next day comment add up by 1500

Thus, (1500/5000) × 100

=30% of increase

7. 15.5-10.75 =4.75

(4.75/15.5 )×100= 30%

So, the decrease is -30%( If its about increase then its a positive number, but if its decrease just add a '-')

Answer:

See below ↓↓

Step-by-step explanation:

6.

% increase = Total - Original / Original5000 + 1500 - 5000 / 50001500 / 50000.330% increase

8.

% decrease = | New - Original | / Original10.75 - 15.50 / 10.754.25 / 10.750.39539.5% decrease
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