You have found two job offers for the beginning of the summer. Each job is only 10 days long. Job Offer #1: The offer is to receive $0.25 for accepting the job. After day one you have made a total of $1, $4 total after two days of work, $16 total after three days, etc. Job Offer #2: The offer is $16 per day with no acceptance bonus. Write an equation to represent Job Offer #1 and Write an equation to represent Job Offer #2

Answers

Answer 1

Answer:

[tex]f(n) = \frac{4^n-0.25}{3}[/tex] --- Job offer 1

[tex]g(n) = 16n[/tex] --- Job offer 2

[tex]1 \le n \le 10[/tex]

Step-by-step explanation:

Given

Job offer 1:

Offer = $0.25

[tex]Day 1 = \$1\ Day 2 = \$4\ Day 3 = \$16......[/tex]

Job offer 2:

Daily = $16

Required

Determine the equation for both jobs

For job offer 1:

Considering the pay for day 1, day 2,....

The sequence shows a geometry progression where the payment between subsequent days is a product of 4 by the payment of the previous day.

The sequence can be represented as:

[tex]T_1 = 1; T_2 = 4; T_3 = 16[/tex]

The common ratio (r) is:

[tex]r = \frac{T_2}{T_1} = \frac{4}{1} = 4[/tex]

The sum of n terms is the total salary received in n days.

[tex]S_n = \frac{a(r^n - 1)}{r-1}[/tex]

[tex]S_n = \frac{1 * (4^n - 1)}{4-1}[/tex]

[tex]S_n = \frac{4^n - 1}{3}[/tex]

So, the equation for job offer 1 is:

[tex]f(n) = Offer + S_n[/tex]

[tex]f(n) = 0.25+ \frac{4^n - 1}{3}[/tex]

Take LCM

[tex]f(n) = \frac{0.75 + 4^n - 1}{3}[/tex]

Collect like terms

[tex]f(n) = \frac{4^n - 1+0.75}{3}[/tex]

[tex]f(n) = \frac{4^n-0.25}{3}[/tex]

For job offer 2:

Daily payment of $16 implies that job offer 2 pays 16n for n days.

So:

[tex]g(n) = 16n[/tex]

In both cases: [tex]1 \le n \le 10[/tex]


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Answers

Answer:

41.57 cm²

Step-by-step explanation:

to understand thisyou need to know about:geometryPEMDAStips and formulas:area of a regular hexagon when apothem is given:½×P×Alet's solve:

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Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)

Answers

Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

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Is the line y = 0.6x - 1

Answers

Answer:yes!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

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Using the graph below, find A, H, and K.​

Answers

Answer:

Step-by-step explanation:

A:(2,7)

H:(4,3)

K:(6,7)

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Answers

Answer:

the equation of the hyperbola is y^2/12-x^2/4=1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?

Answers

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

Area of the yard = 20 feet² = 400 feet²

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Determine the exact value for sec (5π/4)

Answers

Answer:

-√2

Step-by-step explanation:

C on Edg

Answer: - square root 2

Step-by-step explanation: c on edge

A. ASA Postulate
B. HL Theorem
C.AAS Theorem
D. SAS Postulate

Answers

Answer:

your answer will be B. HL Theorem

Step-by-step explanation:

hope it helps you...

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Answers

Answer:

Each child ticket cost = $6

Step-by-step explanation:

Joe has = $100

His balance after tickets purchase = $22

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Total amount spent (adults) = $9 x 6 = $54

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Amount spent on 1 child (1 ticket),

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It could be seen that each child ticket cost six dollars.

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2ab​

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Please attach an image.

f(x) = (cost)x

Answer:

c=s*x

Step-by-step explanation:

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Answers

Answer:

3.5m

Step-by-step explanation:

A parallelogram has sides 17.3 m and 43.4 m long.

The height corresponding to the 17.3-m base is 8.7 m.

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Answers

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

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Answers

Answer:

12m,

Step-by-step explanation:

1.5 times 8 =12

One pound of pasta noodles can be made using the ingredients shown in the recipe below. A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?

Answers

Answer:

Pounds of noodles made per week = 47 1/2 pounds

Step-by-step explanation:

One pound of pasta noodles can be made using the ingredients shown in the recipe below.

Recipe for Pasta Noodles

Ingredients

3 1/2 cups of flour

4 large eggs

2 teaspoons of olive oil

A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?

28 1/2

47 1/2

53 1/4

55 1/2

Pounds of noodles made per week = Total cups of flour used each week / flour used per pound

= 166 1/4 ÷ 3 1/2

= 665/4 ÷ 7/2

= 665/4 ÷ 2/7

= (665*2)/(4*7)

= 1330/28

= 47.5 pounds

Pounds of noodles made per week = 47 1/2 pounds

Determine a pair of angles (one positive and one negative) in degree measure coterminal to the angle 117°.​

Answers

Answer:

Option B.

Step-by-step explanation:

When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:

B = A + n*360°

Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).

Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.

Then we can do:

for the positive one, use n = 1.

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For the negative one, use n = -1

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The correct option is B.

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below?
PLEASE I AM BEGGIN YOU

Answers

There no figure....
Attach it

HELP HAVING A BAD DAY


Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?

I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

What is Expression?

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

just help me again for 2 times

Answers

Answer:

A. 86.7

first, the base. length x width.

it's square, so

5.1 x 5.1= 26.01

then the sides. formula for a triangle is base times height divided by 2.

5.1 x 5.95= 30.345 divided by 2 is 15.1725

there are 4 sides, so multiply times 4

4 x 15.1725= 60.69

now, add the base to the sides

26.01 + 60.69= 86.7

Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.

Answers

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

PLEASE HELP +10 pts BUT BETTER SHOW WORK ON HOW U GOT THE ANSWER! No links. Plz.



I’ll report if u don’t answer the question I literally need help with this is no joke.

Answers

Don’t press on it it’s a s c a m
Be carful

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
b/6 ≤ 7
–4.5c > 9
–21/5 ≤ –5/2d
Please I need this answer right away!!!

Answers

Answer:

No, no, yes, yes

Step-by-step explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

no as variable has positive coefficient

b/6 ≤ 7 ⇒ b ≤ 42

no as variable has positive coefficient

–4.5c > 9 ⇒ c < - 2

yes as variable has negative coefficient

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25

yes as variable has negative coefficient
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