You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric

Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1

Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00

Answers

Answer 1

Answer:

a). Geometric sequence

b).

c). $46945.21 will be the salary at the start of 5th year.

Step-by-step explanation:

My salary for the first year is $37185.

If I get an increase of 6% every year then the next year salary will be,

  = $39416.1

Similarly in the second year my salary will be

   = $41781.07

So the sequence becomes $37185, $39416.1 $41781.07.....

And there is a common ratio in each successive term 'r' = 1.06

a). Therefore, it's a geometric sequence.

b). Explicit formula for this sequence will be in the form of

Where t = duration in years

c). Salary at the start of 5th year,

      = $46945.21

Step-by-step explanation:


Related Questions

Which choice shows (9 x 3) x 20 correctly rewritten using the associative property and then correctly simplified?

Answers

Answer:

I'm guessing it is 3x(9x20)=3x180=540

Step-by-step explanation:

this is due tomorrow at 8 pls help

Answers

Answer:

a = 4 b = 2 c = 6

Step-by-step explanation:

4 + b = c

b & c are any even numbers between 2 and 9 (2, 4, 6, 8)

c > 4 ( 6, 8)

b < 6 (2, 4)

b can't be the same number, so b is 4 meaning c is 6

Answer:

b=2, c=6

Step-by-step explanation:

Two angles in a triangle add up to 152 degrees.
what is the size of the third angle?

Answers

Answer:

28 degrees

Step-by-step explanation:

A triangle is 180 degrees. 180-152=28.

Answer:

The third angle is 28 degrees

Step-by-step explanation:

A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)

Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t sandra has two credit cards, p and q. card p has a balance of $726.19 and an interest rate of 10.19%, compounded semiannually. card q has a balance of $855.20 and an interest rate of 8.63%, compounded monthly. assuming that sandra makes no purchases and no payments with either card, after four years, which card’s balance will have increased by more, and how much greater will that increase be? a. card q’s balance increased by $7.22 more than card p’s balance. b. card q’s balance increased by $6.69 more than card p’s balance. c. card p’s balance increased by $3.43 more than card q’s balance. d. card p’s balance increased by $0.80 more than card q’s balance. please select the best answer from the choices provided a b c d

Answers

The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:

Case 1: For card p:

Initial amount = p = $726.19

The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding semiannually, that means twice per year, thus, n = 2

Thus, the final amount in card p after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)[/tex]

Case 2: For card q:

Initial amount = p = $855.20

The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding monthly, that means twelve times per year, thus, n = 12

Thus, the final amount in card q after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)[/tex]

Clearly card q has more amount than card p at the end of 4 years.

The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)

Learn more about compound interest here:

https://brainly.com/question/1329401

IDENTIFY THE PROPERTY WHICH JUSTIFIES THE FOLLOWING CONCLUSION

A. REFLECTIVE PROPERTY
B. ADDITION PROPERTY OF EQUALITY
C. SYMMETRIC PROPERTY
D. MULTIPLICATION PROPERTY OF EQUALITY

1. If ×=4, then × + 2=7
....__.....__
2.AB = AB

3. If × = y, Then 2× = 2y

4. If 9 = 6+3, then 6+3 =9

Please answer correctly do not concentrate wrong and rely only on the pontos:)​

Answers

Answer:

Step-by-step explanation:

17) B. They are adding 2 to both sides.

18) A. A segment is equal to itself.

19) D. They are multiplying both sides by 2.

20) C. They are simply swapping the left and right hand sides of the equation

A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS

Answers

Earnings last year=xMore earnings percentage=25%

More earnings:-

25% of x0.25x

Total earnings this year

x+0.25x(1+0.25)x$1.25x

Answer:

[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]

Step-by-step explanation:

Given:

Last year: $x

Determining the money earned for this year:

This year = 25%   more than       last year

               = $25x/100   +                    $x

               = $x/4           +                 $4x/4

The expression that represents the money earned this year is $x/4 + $4x/4.

Two of the interior angles of a polygon are 134° and 156° and each of the remaining angles is 151°. Find the number of sides of the polygon.

Answers

The number of sides of a polygon with interior angles of  134° and 156° and each of the remaining angles as 151° is 12 sides.

Polygons

The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).

Therefore,

Interior angle  + exterior angle = 180°

Therefore,

156 + x = 180

x = 180 - 156

x = 24°

134 + y = 180

y = 180 - 134

y = 46°

180 - 151 = z

z = 29°

sum of exterior angle = 360 degrees.

Therefore,

360 - 46 - 24 = 290°

Then,

290 / 29 = 10

The number of sides = 10 + 2 = 12 sides

learn more on polygon here: https://brainly.com/question/473364

Which expression is a factored form of 2x2
25x + 63?

Answers

The expression of  the factored form of 2x2+25x + 63 is mathematically given as

(x+7)(2x+7)

What is the expression of  the factored form of 2x2+25x + 63?

Question Parameter(s):

Expression 2x^2+25x + 63?

The expression of the factored form will bear the roots of the expression repressented  in standard form

Generally, the equation for the expression   is mathematically given as

2x^2+25x + 63?

Therefore

2x^2+25x + 63?

x(2x+7)+9(2x+7)

(x+7)(2x+7)

In conclusion, The expression is

(x+7)(2x+7)

Read more about Arithmetic

https://brainly.com/question/22568180

Convert the following fraction to a decimal 20/16

Answers

Answer:

1.25

Step-by-step explanation:

what three ratios are equivalent to 6/18

Answers

Answer: 3:9, 1:3, 12:36

Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.

What time would it be if the minute hand rotated by 180 degrees from the current time?

2:30
4:00
3:30
2:15

Answers

Answer:

3:30 is the answer

32+4 X (16 X ) -2 show your work

Answers

Answer:

32+4x(16x)-12=

32+64x-12=

64x-12+32=64x+20

64×÷64÷=20÷64=

x=0.3125

9 markers cost $7. 50. How much would 7 markers cost

Answers

Answer:

5.83

Step-by-step explanation:

9 / 7.50 = 0.833(repeating)

8.33(repeating) * 7 = 5.833(repeating)

Simplify 5.833(repeating)

Answer:

5.83

Step-by-step explanation:

In the figure below, k || l and m || n. Find the values of y and x.

Answers

Answer:

x = 30

y = 115

Step-by-step explanation:

Suppose line m is parallel to line n:

65+y = 180 because they are supplementary angles

subtract 65 from both sides

y = 115

angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:

3x + 25 = 115 subtract 25 from both sides

3x = 90 divide both sides by 3

x = 30

Which of the following is true about the decimal form of the number? 25/225
A It is neither a terminating decimal nor a repeating decimal.
B It is both a terminating decimal and a repeating decimal.
C It is a repeating decimal

Answers

Answer:

I think it's B because it stops but keeps going.

Step-by-step explanation:

HELP MEEEEEEEEEEEEEEEE

Answers

Surface area formula : B x H
So multiply 6 1/2 x 10 4/5

The answer is 351/5 or 70.5

PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER​

Answers

Answer:

sqrt(37) = arpox 6.1

Step-by-step explanation:

sqrt(1^2+6^2) = sqrt(37)

What is X?
(x+22) 2x
(Need help)

Answers

Answer:

nasa pic yung sagot

hope its help

what is your favirote subject

Answers

Answer:

My favorite subject is Science

Step-by-step explanation:

Because it’s really interesting and the concepts about everything that could and will happen is fascinating

I love math just because i love counting money & i love to read

The photo is shown below, please help!

Answers

Answer/Explanation:

The formula for a rectangular prism is Length x Width x Height

With this information we can multiply 6x8x2 and get 96 ft³.

This is the volume of the original prism.

Doubling the dimensions means multiplying each side by 2.

The new dimensions would be a.16 b.4 c.12

Use the formula to find volume. 12x16x4=768

The volume of the enlarged prism is 768 feet³

For bonus question, divide 768 by 96.

The scale factor is 8.

Can someone please help me I’m stuck

Answers

I can see you already found the coordinates of the points that pass through the line, all you have to do is plot them, and join them together.

c)Graphically:when is the line's y=3x=1.5

Analytically:6-2x=3-2x=3-6-2x=-3

2x=3

x=3/2 =1.5

2,914 rounded to the thousand and to nearest hundred

Answers

Answer: 2194.00 and 2194.000

Step-by-step explanation: rounded to the nearest 1000= 2194.000

rounded to the nearest 100 = 2194.00

What is the pattern;
1=4
2=4
3=64
4= ?

Answers

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256

Find 76% of 147 please answer

Answers

The answer is 111.72%
We would find 1% of 147 then times the answer by 76

Answer:

111.72

simplify multiply

⇒ 76% * 147

⇒ (76/100) * 147

⇒ 111.72

Work out the number of boys and girls in the class.
in class 8m, there are 27 pupils. there are twice as many boys as girls. find the number of boys and girls

Answers

Answer:

81

Step-by-step explanation:

27 total of pupils.

girls 1×27=27

boys 2×27=54

total 54+27=81

PLEASE ANSWER QUICKLY!!! Find the area of the following shape

Answers

Answer:

  30 cm²

Step-by-step explanation:

You want to know the area of the given shape.

Parallelogram

The formula for the area of a parallelogram is ...

  A = bh

A line from B to E divides the figure into two congruent parallelograms, each having a base of 5 cm and a height of 3 cm.

The area of the figure is ...

  A = 2 × (5 cm)(3 cm) = 30 cm²

__

Additional comment

If you draw a line from F to D you get a triangle FED that perfectly matches the space ABC. Moving ∆FED to fill ∆ABC transforms the figure into a rectangle that is 5 cm high and 6 cm wide. Its area is (5 cm)(6 cm) = 30 cm².

<95141404393>

Find the value of each variable. 22, 30, x.
x=
y=
(Simplify your answers. Type exact answers, using radicals as needed. ​
please hurry for fifty points!

Answers

Answer:

11 and 11 root 3

This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.

Answer:

x = 11, y = 19.05

Step-by-step explanation:

sin 30 = x/22
22*sin 30 = x

22*0.5 = x
11 = x

tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05

Hope this helps :)

(PLS Need Help ASAP) Don't answer if you don't know pls.

Answers

Answer:

y = - x + - 2

Step-by-step explanation:

Using the equation y = mx + b, find the m (slope) from the graph and the b (y-intercept from the graph).  The slope, m, is the rise over the run from point A to point B.  The rise is -5 and the run is 5.  [tex]\frac{-5}{5}[/tex] = -1.  The y-intercept, b, is the point the graph passes through the y-axis.  The b is -2 so y = -x+-2.

Answer:
y=-x+-2

Step-by-step explanation:
Slope Intercept Form= Y=mX+b
with b as the slope and b as the y-intercept
also the graph has a negative slope

the slope is -x
the y-intercept is -2

A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

A.)(3.14)(5m)2(10m)
B.)(3.14)(5m)2(20m)
C.)(3.14)(10m)2(5m)
D.)(3.14)(20m)2(5m)

Answers

The answer is b . i just had the question and I got it right .

Martin drew a scale drawing of an arcade. The scale he used was 1 inch : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?

Answers

Answer: 3 inches

Step-by-step explanation: 9 divided by 3 is 3

Other Questions
the closest synonym for the word resourceful?A.elaborateB.artificialC.keenD.personal Which of the following pairs of words has the most similar relationship to the pair of words belovArial; Font Choose from the answer choices to make a logical sentence.Achetez la viande ______A. la boulangerieB. la bijouterieO C. la boucherie Which speech made a stronger use of the appeal to ethics? Write two paragraphs that compare and contrast both speeches in terms of their appeals to ethics. What is the main idea of this excerpt from the article?O Latino musicians have gained success by recordingin both Spanish and English.O Christina Aguilera is an example of a Latina artistwho became popular in the 1990s.O Jennifer Lopez and Ricky Martin are two artists whohave been hugely successful.O One well-known singer died a month beforereaching a major milestone in her career. Marcus and Narcissa Whitman were successful in their mission.A. TrueB. False How many different nth roots does a nonzero complex number have? 25^(2x+3) = 125^(2x+8)please help and show work!!!!!!! What does de mean in Spanish? (New to Spanish so sorry if this sounds absent minded) how does the poster encourage the audience to embrace the possibilities of imaginative writing? Use the process of photosynthesis and cellular respiration to describe why the drought has driven the bears into the towns. Solve the equation8 - (x - 2) = 2x + (10 - 3x)a. x= 10b. x= -10 c. infinitely many solutions d. no solution Los estudiantes ______durante toda la noche pasada. (caminar)caminarancaminaroncaminarncaminaron What choices do artists make when they create landscape paintings? What is the impact of these choices? PLEASE HELP ME MATH IS HARDUse the rectangle shown in the coordinate plane to answer each question.1. Rotate rectangle KLMN 90 counter-clockwise about the origin. List the ordered pairs for each vertex of K'L'M'N'.2. What do you notice about the ordered pairs of the original figure and the ordered pairs of the rotation about the origin? implicit memories are more like ______ memories. A. detailedB. contextual C. proceduralthanks :) A coffee filter of mass 1.3 grams dropped from a height of 3 m reaches the ground with a speed of 0.5 m/s. How much kinetic energy Kair did the air molecules gain from the falling coffee filter 1. My grandma and I went shopping to look for oldclocks. She loves to decorate her house with rareitems. My grandma will spend days finding thingsthat no one else has. She tries to find items thatnot many people have ever seen before.What does the word rare mean as it is used in thepassage?a. kindb. usualC.c. commond. uncommon 3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations described below. a. The account pays 3% annual interest compounded monthly. b. The account pays 4% annual interest compounded continuously. Sammy then $200 as a department store she bought three rings for $21 each and spend the rest on for equallypriced bracelets. How much did each bracelet cost?