If you were offered a job would you choose the one with the pay increase according to an arithmetic sequence formula or a geometric sequence formula? Justify your response.

Answers

Answer 1

I believe it would be the one with the Geometric sequence formula

Answer 2

Final answer:

For maximizing earning potential over time, a geometric sequence salary increase is typically more beneficial due to exponential growth, while an arithmetic sequence offers steady, predictable increases that may appeal to those who value consistency.

Explanation:

If offered a job with a salary increase tied to either an arithmetic sequence or a geometric sequence, the preferable option typically depends on the long-term financial goals and growth potential you are looking for. An arithmetic sequence will give you steady, predictable increases. However, a geometric sequence formula will often result in larger increases over time, especially if the ratio is 2 or more. Due to the exponential nature of a geometric sequence, your salary could grow significantly faster than with an arithmetic sequence. For example, if you start with a salary of $50,000, and the arithmetic sequence increase is $1,000 each year, after five years you would be earning $55,000. On the other hand, for a geometric sequence with a modest ratio of 1.05 (5% increase each year), you would start at the same $50,000 but after five years be earning approximately $63,814.

Considering this, if your primary goal is to maximize earning potential over time, the geometric sequence would be the more appealing option. However, if you value consistency and predictability in pay increases, or if the progression starts very low, an arithmetic sequence might be more in line with your personal financial planning.

Related Questions

helpppppppppppppppppppppppppppppppp

Answers

Hey there!

By us looking at this expression, [tex](fg)(5)[/tex], this would be clear to show us that (fg) would be multiplied by 5. So, in your options, this would be something that we would want to find, a multiplication expression.

Your correct answer to this question would be A.) Let's look! So, the first part of the option A.) is [tex]f(5)[/tex] and from this, it would auto matically be multiplied. Now it would also be the same as the other part of the expression, which so sum it all up, this would be the best answer that would be equivalent to the expression above.

Your correct answer would be . . . . .

[tex]\boxed{\boxed{f(5)*g(5)}}[/tex]

Hope this helps you greatly!

Solve the system shown.

Answers

1. Rewrite the system:

x+12y=68 (i)
x=8y-12 (ii)

2. Let's substitute the equation (ii) into the equation (i):

x+12y=68
(8y-12)+12y=68

3. Then, you have:

8y-12+12y=68

4. When you clear "y", you have:

20y-12=68
20y=68+12
20y=80
y=80/20
y=4

5. You already have the value of "y". Now, you must substitute this value into the equation (ii):

x=8y-12
x=8(4)-12
x=32-12
x=20

6. Therefore, the result is:

x=20
y=4

solve for x in the equation x^2+10x+12=36

Answers

i am going to put the all math work for the answer of this question, but if you need an explanation for how i got each step let me know and i will provide that for you
x^2 +10x + 12 = 36
x^2 + 10x + 12 - 36 = 0
x^2 +12x - 2x - 24 = 0
x(x + 12) - 2(x +12) = 0
(x + 12) x (x - 2) = 0
x + 12 = 0
x - 2 = 0
x = -12
x = 2
your answer for the first x is x = -12, and your answer for the second x will be
x = 2
let me know if you have any further questions
:)

Answer: The required value of x is 2 or -12.

Step-by-step explanation: We are given to solve for x in the following equation :

[tex]x^2+10x+12=36~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be solving the given equation by the method of factorization.

From equation (i), we have

[tex]x^2+10x+12=36\\\\\Rightarrow x^2+10x+12-36=0\\\\\Rightarrow x^2+10x-24=0\\\\\Rightarrow x^2+12x-2x-24=0\\\\\Rightarrow x(x+12)-2(x+12)=0\\\\\Rightarrow (x-2)(x+12)=0\\\\\Rightarrow x-2=0,~~~~~~x+12=0\\\\\Rightarrow x=2,~-12.[/tex]

Thus, the required value of x is 2 or -12.

Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

a)congruent triangles
b)similar triangles
c)congruent rectangles
d)similar rectangles
Answer: Jiren is too strong. (congruent triangles)

Answers

The answer to this question is A)Congruent Triangles.

Hope I helped you :D

Answer:

Option: A is correct (congruent triangles)

Step-by-step explanation:

To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:

Angle DBA is congruent to angle BDC. Angle CMD is congruent to angle AMB. Triangle CMD is congruent to triangle AMB. Segment AM is congruent to segment MC. M is the midpoint of segment AC. Segment BD bisects segment AC. Segment BM is congruent to segment MD. M is the midpoint of segment BD. Segment AC bisects segment BD.

Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.

Hence, option A is correct

one face of a cube an area of 49 square centimeters. what is the volume of the cube

Answers

If the face is 49 squared, it means that one edge is 7. volume is length x width x height so 7x7x7=343 centimeters cubed

Quadrilateral ABCD is inscribed in this circle. what is the measure of angle C?

Answers

Because opposite angles in a quadrilateral inscribed in a circle are supplementary.

angle c = 180 - 2x - 38
angle c = 142 - 2x

Elijah played in a golf tournament. For the first three days he averaged a score of -2. On the fourth day he shot a +2. What was his average for all four days?

Answers

-2, -2, -2, +2

-2 + -2 + -2 + 2
-2 -2 -2 + 2
-6 + 2
-4
-4/ 4 = -1

His average is -1

if he had an average score of -2 for the first three days then he has -2,-2,-2
the fourth is 2
add together is -4
divide by 4(number of days)
-1
his average score is -1

Do 1.5 cm, 3 cm, 1.5 cm make a triangle and what kind

Answers

Don't really know how to explain making one but the triangle will be a isosceles for sure.

The lengths 1.5 cm, 3 cm, and 1.5 cm cannot form a triangle because the sum of the lengths of the two shorter sides is equal to the length of the longest side, which does not satisfy the Triangle Inequality Theorem.

The question asks if lengths 1.5 cm, 3 cm, and 1.5 cm can form a triangle, and if so, what kind of triangle it would be. To determine whether these lengths can form a triangle, we use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

For these lengths:

1.5 cm + 1.5 cm = 3 cm1.5 cm + 3 cm > 1.5 cm1.5 cm + 3 cm > 1.5 cm

We see that when we add the lengths of the two shorter sides (1.5 cm + 1.5 cm), it equals the length of the longest side (3 cm). According to the Triangle Inequality Theorem, the lengths do not meet the condition for forming a triangle because the sum must be greater than, not equal to, the length of the third side. Therefore, these lengths cannot form a triangle.

A $6,000.00 principal earns 8% annual interest, compounded semiannually (twice per year). After 35 years, what is the balance in the account?

A. $22,800.00
B. $39,600.00
C. $88,712.07
D. $93,429.71

Answers

if im not wrong then i sure its C

Answer:

After 35 years balance in the account = $93429.71

Explanation:

We will applying the compound interest formula.

A = [tex] P(1 +\frac{r}{n})^{nt} [/tex]

Where,

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years

Given that,

P = $6000

r = 8% = [tex] \frac{8}{100} [/tex] = 0.08

n = 2 (because of twice in a year)

t = 35 years

[tex] A= 6000(1 + \frac{0.08}{2}) ^{2*35} [/tex]

A = 6000[tex] (1.04)^{70} [/tex]

A= $93429.71 (Option D)

WILL MARK AS BRAINLIEST!!
What is the value of x?

Need help fast!

Answers

The large triangle is 3 times the size of the similar smaller triangle, so
.. x = 3*8 in = 24 in

Why is it most logical to let x represent Dianna’s current age?

Answers

let's say Diana is "x" years old today.

in 3 years, she's going to be " x + 3 " years old.

33 years ago, she was " x - 33 " old.

how much is 4 times that anyway? well 4(x-33), that's 4 times as 33 years ago her age.

now, we know in 3 years, x+3, she'll be "4 times as old as she was 33 years ago", 4(x-33), therefore, those amounts are equal then,

[tex]\bf \stackrel{\textit{3 years from now}}{x+3}~~=~~\stackrel{\textit{4 times as old as she was 33 years ago}}{4(x-33)} \\\\\\ x+3=4x-132\implies 135=3x\implies \cfrac{135}{3}=x\implies 45=x[/tex]

why is it most logical to use "x" for her age today?

well, because 3 years from now is just x + 3
and
33 years ago is x - 33, 4 times that is 4( x - 33 ).

works very well as a point of reference.

Diannas current age is what your being asked to find

Diannas age is the unknown in the problem

The given relatioships can be written in terms of diannas current age

(50 points)
What is the product of -2x^3+x-5 and x^3-3x-4?
Is the product of -2x^3+x-5 and x^3-3x-4 equal to the product of x^3-3x-4 and -2x^3+x-5 explain your answer.

Answers

Answer:Yes, the products are equal because of commutativity. To find the product, use distributive law. Just simplify the below:

-2x^3(x^3-3x-4) + x(x^3-3x-4) - 5(x^3-3x-4)

Step-by-step explanation:

I WILL GIVE BRAINLIEST, PLS HELP-A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.

What is the maximum area that can be enclosed by the fencing?

Enter your answer in the box.

ft²

Answers

The maximum area is the area that uses half the fence (150 ft) for the side parallel to the barn and the other half for the ends of the pen (75 ft each). That area is 11,250 ft^2.

Given that (7,-4) is on the graph of f(x), find the corresponding point for the function f(x+4)

Answers

If x+4 is 7, then x=3. The corresponding point is (3, -4).

Final answer:

To find the corresponding point of a function after transformation, substitute the given point into the transformed function.

Explanation:

Given: (7, -4) is on the graph of f(x).

To find: The corresponding point for the function f(x+4).

Solution:

Substitute x+4 into the function f(x) to get the new function f(x+4).

Substitute x=3 into f(x+4) to find the corresponding point.

Therefore, the corresponding point for f(x+4) is (3, -4).

What is 5/15 written as a decimal???

What is 4/15 written as a decimal???

What is 3/15 written as a decimal???

Answers

the first when you do is divide 15 by 5 and you get 3 so. 0.333333 number 2 is 0.26666 the 3rd is 1 divided by 5 equals 0.2

Hello!

There are a couple ways we can use to convert a fraction to a decimal, but let's stick with the easiest one.

To convert a fraction to a decimal, simply divide the numerator (top part of the fraction) by the denominator (bottom part).

The first fraction is 5/15. Its numerator is 5, and its denominator is 15. Divide the top by the bottom.

5 ÷ 15 = 0.3333333333

Because this decimal keeps repeating, it is called a "repeating fraction."

We don't want to write all those 3's over and over again, so to indicate that it is a repeating decimal, simply put a bar above the 3.

Convert the other two fractions using the same method:

4 ÷ 15 = 0.266666667

Remember to put a bar above the repeating number.

3 ÷ 15 = 0.2

Since this decimal does not repeat, it is called a "terminating decimal". You do not have to put a bar above the 2.

Don't forget this method!

Is 67.714813 rational or irrational?

Answers

Hi,
Answer is:
Irrational. Why?

Rational numbers are like 2:3 (Example) that is a Decimal.

Hope this helps!! Can you please mark Brainliest? Good Luck on your School assignment, and God Bless!

Look at the table below showing an example of a checkbook ledger. Malcolm has several receipts from recent transactions that he entered in his records. The receipts include an ATM receipt for an $80.00 deposit, a grocery store receipt for $25.50, and a paycheck deposit slip for $650.00. When he finishes entering his transactions, Malcolm realizes that his balance is incorrect. Assuming that Malcolm had no beginning balance, what should his correct balance be? $624.50 $704.50 $755.50 $784.50

Answers

Starting with a $0 balance, we have:
$0.00 + $80.00 = $80.00
After the grocery store:
$80.00 - $25.50 = $54.50
After the paycheck deposit:
$54.50 + $650.00 = $704.50 total balance.

Answer:

I just took this quiz and the answer is B:$704.50

Step-by-step explanation:

Edg 2022

insert <,>,or = or make the sentence true.sqrt(3)__sqrt(7)

Answers

The answer is: " < " .
___________________________________________
" sqrt(3) < sqrt(7) " .
___________________________________________

please helm me

A circular piece of metal has a radius of 3.5 meters.
The metal sells for $3.25 per square meter.

What is the total cost of the circular piece of metal?

A.
$11.38

B.
$38.47

C.
$71.44

D.
$125.01,

Answers

Area of circular metal=πr^2 =3.14 x 3.5 x 3.5 m^2 now, total cost=area x rate =3.14 x 3.5 x 3.5 x 3.25 $ =125.01 $

Answer:

The answer would be $125.01

Step-by-step explanation:

I took the test.

What statement is true about the polynomial

Answers

the answer you seek for this question, 'What statement is true about the polynomial' is "Yes"

What is the solution to the proportion? Start Fraction 3 y minus 8 over 12 End fraction equals start fraction y over 5 End Fraction?

Answers

we have that

(3y-8)/12=(y/5)---------> 5*(3y-8)=12*(y)
15y-40=12y-------------> 15y-12y=40
3y=40--------------> y=40/3

y=(40/3)----------> 13.33

the answer is y=40/3 (13.33)

Answer:

1.78

Step-by-step explanation:

To solve for x we need to cross multiply it

We have = sign in between the fractions so we cross multiply it

9*x = 2* 8

9x = 16

Now we divide by 9 on both sides

so x= 1.7777777778

When we round to two decimal places then

x= 1.78

Roderick wants to draw a circle for which the numerical value of the circumference is greater than the value of the area. Which lengths could he use for the radius? Check all that apply.

Answers

Answer:

The length of the radius must be less than [tex]2[/tex]

[tex]\frac{1}{2},1,1.5[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

where r is the radius of the circle

In this problem we have that

[tex]C > A[/tex]

Substitute

[tex]2\pi r > \pi r^{2}[/tex]

Simplify

[tex]2r > r^{2}[/tex]

[tex]2> r[/tex] ------> rewrite

[tex] r< 2\ units [/tex]

The length of the radius must be less than [tex]2[/tex]

the answer is

[tex]\frac{1}{2},1,1.5[/tex]

Roderick select the length of radius, for keeping the value of circumference of the circle greater than the value of its area, should be 1/2,1 and 1.5. Thus the option A, B and C is the correct option.

What is circumference and area of the circle?

Circumference of the circle is the length of its boundary. It can given as,

[tex]P=2\pi r[/tex]

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Given information-

Roderick wants to draw a circle.

The circumference of the circle must be greater than the area of the circle.

The circumference of the circle having radius equal to [tex]r[/tex] units can be given as,

[tex]P=2\pi r[/tex]

The area of the circle having radius equal to [tex]r[/tex] units can be given as,

[tex]A=\pi r^2[/tex]

Now as Roderick wants to draw a circle in which, the circumference of the circle must be greater than the area of the circle. Thus,

[tex]P>A[/tex]

Put the values as,

[tex]2\pi r>\pi r^2\\2r>r^2\\2>r[/tex]

Thus the value of the radius of Roderick circle must be less than the number 2.

Number 1/2 , 1, and 1.5 is less than the number two.

Thus, Roderick select the length of radius, for keeping the value of circumference of the circle greater than the value of its area, should be 1/2,1 and 1.5. Thus the option A, B and C is the correct option.

Learn more about the circumference and area of the circle here;

https://brainly.com/question/402655

Force exerted by the ball on the kickers foot.

Answers

F = M/t, where M = mv so...

F = (42*0.65)/(0.018) = 1516.7 N

To the correct number of sig figs it is 1500 N

help me please asap ill mark brainliest nd plz be correct

Answers

3x +7 = 5x-11
7 = 2x-11
18 = 2x
x = 18/2 = 9

AI = 3(9) +7 = 27 +7 = 34

BI = AI = CI
5x - 11 = 3x + 7
2x = 18
x = 9
so
AI= 3(9) + 7 = 27 + 7 = 34 = BI = CI

answer
34

In a homicide case 33 different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all 33 witnesses would pick the same person. round to seven decimal places.

Answers

the correct question in the attached figure

we know that

the probability
that a witness picks a particular person by chance-----> P=1/5

the probability
that all 7 witnesses would pick the same person-----> P=1/5^7=0.0000128

the answer is the option B 0.0000128

There are a variety of problems in which the number of witnesses change, for example
....find the probability that all 9 witnesses would pick the same person

in this case, the probability would be-------> P=1/5^9=0.000000512

Final answer:

The probability that Nancy is a robber given Bob's identification is around 33.2%, considering Bob's accuracy and the base rate of robbers in the population.

Explanation:

Probability Calculation:

To find the probability that Nancy is a robber given Bob's identification, we use Bayes' Theorem. Given that Bob is 99% accurate in identifying suspects, the calculation reveals that the probability that Nancy is a robber is around 33.2%.

Base Rate Fallacy: It is crucial to consider the base rate of robbers in the population to avoid common statistical errors in interpreting the probability of an event.

Answers...........................?

Answers

1.25/5 = 0.25

Your calculator can help with this if you don't happen to know already that 1/5 of 5/4 = 1/4.

How can Brady use fraction strips to show that 3 4 and 7 8 are NOT equivalent?

Answers

Brady needs three strips that each represent one fourth (1/4). He needs to line them up end to end. The new long strip he has created represents 3/4.

Next Brady needs seven strips that each represent one eighth (1/8). He needs to line them up end to end. The new long strip he has created represents 7/8.

If the two long strips he created were equal then 3/4 would equal 7/8 but as they are not equal this is not the case. Since the strip for 7/8 is longer, the fraction 7/8 is greater than 3/4.

Final answer:

To demonstrate that 3/4 and 7/8 are not equivalent, Brady can use fraction strips to visually compare the colored portions of the strips, which will clearly show that 7/8 is greater than 3/4 as it has more colored sections.

Explanation:

To show that 3/4 and 7/8 are not equivalent using fraction strips, Brady can follow these steps:

Take one strip and divide it into four equal parts to represent the fraction 3/4. Color three of these parts.Take another strip, divide it into eight equal parts to represent the fraction 7/8, and color seven of these parts.Compare the two colored strips side by side.

Brady will observe that the strip representing 7/8 has more colored sections than the strip representing 3/4, even though the strips are the same length. This visual comparison confirms that 3/4 is less than 7/8, thus they are not equivalent fractions. The fraction 7/8 is only one-eighth away from being a whole, whereas 3/4 is one-fourth away.

How to multiply fractions by a number with an exponent?

Answers

Multiplying exponents with different or same bases
Multiplying negative exponents
Multiplying variables with exponents
Multiplying square roots with exponents

Need quick help please?! Using the Angle Bisector Theorem solve for x.
Show all work.

Answers

From the angle bisector theorem
15/3 = (4x+1)/5
5 = (4x+1)/5
4x+1 = 25
4x = 24
x = 6

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

We have been given a triangle and we are asked to solve for x using angle bisector theorem.

Angle bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side of triangle into segments that are proportional to the other two sides.

Using angle bisector theorem we can set an equation as:

[tex]\frac{4x+1}{5}=\frac{15}{3}[/tex]

Let us solve for x by multiplying both sides of our equation by 5.

[tex]\frac{4x+1}{5}*5=\frac{15}{3}*5[/tex]

[tex]4x+1=5*5[/tex]

[tex]4x+1=25[/tex]

Let us subtract 1 form both sides of our equation.

[tex]4x+1-1=25-1[/tex]

[tex]4x=24[/tex]

Upon dividing both sides of our equation by 4 we will get,

[tex]\frac{4x}{4}=\frac{24}{4}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6 units.

A solid is composed of squares and equilateral triangles. Its net is shown below:

The area of each triangle is 1.5 square units. The surface area of the triangular prism is _____ square units. (Input whole number only.)

Answers

The answer is 16. There are 3 squares so
2*2=4
4*3= 12

There are 2 triangles so
2*2=4
4/2=2
2*2=4

4+12= 16

Answer:

So I am going one is kind of the same but it says six units and then it says the area of each triangle is 16 square units and I was trying to follow the step-by-step explanation from somebody else and I got 52 but I don’t know if I did that right

Step-by-step explanation:

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