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]
What is the value of x in the figure
below?
PLEASE I AM BEGGIN YOU
plz help i need some one to check if this is right :(
Answer:
no the one above it
Step-by-step explanation:
because i have had it recently
Joe buys 6 adult tickets and 4 child tickets for the movies. Each adult ticket cost $9. Each child ticket cost the same amount. Joe pays with a $100 bill and gets $22 in change. How much does each child ticket cost?
Answer:
Each child ticket cost = $6
Step-by-step explanation:
Joe has = $100
His balance after tickets purchase = $22
Actual amount spent on tickets = $100 - $22 = $78
But,
Each adult ticket cost = $9
Total no of adult = 6
Total amount spent (adults) = $9 x 6 = $54
Balance remaining = $78 - $54 = $24
Amount spent of 4 child tickets = $24
No of children = 4
Therefore,
Amount spent on 1 child (1 ticket),
= $24/4 = $6.
It could be seen that each child ticket cost six dollars.
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.
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]
A. ASA Postulate
B. HL Theorem
C.AAS Theorem
D. SAS Postulate
Answer:
your answer will be B. HL Theorem
Step-by-step explanation:
hope it helps you...
Parallelogram ABCD has
coordinates A(1,5), B(6,3),
C(3,1), and D(2,1). What are the
coordinates of E, the intersection
of diagonals AC and BD?
Answer:
Step-by-step explanation:
help me please ! in going to fail
Answer:
can't see the question properly
Answer:
I think the answer is A bc x is slope and y is y intercept
Please help! Will give brainliest
Answer:
The answer is D
Step-by-step explanation:
Down 3 over 1
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?
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
area of the hot tub = 6 feet² x 8 feet² = 48 feet²
area of the fire pit = 7 feet² x 9 feet² = 63 feet²
400 - (48 + 63) = 289 feet²
Determine the exact value for sec (5π/4)
Answer:
-√2
Step-by-step explanation:
C on Edg
Answer: - square root 2
Step-by-step explanation: c on edge
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
41.57 cm²Step-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:parimeter of a regular hexagon:6a
therefore
=½×[4×6]×2√3 cm²
simplify parentheses:
=½×24×2√3 cm²
simplify fraction:
=24×√3 cm²
=41.57cm²
Answer:
41.57
Step-by-step explanation:
took the test
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!!!
Answer:
No, no, yes, yesStep-by-step explanation:
–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5
no as variable has positive coefficientb/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 coefficientGiven f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)
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
- f(-12) = 10
b. f(0) = 1 - 3/4(0)
- f(0) = 1 - 0
- f(0) = 1
c. f(4) = 1 - 3/4(4)
- f(4) = 1 - 12/4
- f(4) = 1 - 3
- f4) = -2
sorry for all the screen wrinkles but what’s this
Answer:
cubic polynomial, monomial
Step-by-step explanation:
Using the graph below, find A, H, and K.
Answer:
Step-by-step explanation:
A:(2,7)
H:(4,3)
K:(6,7)
im really guessing here about the order of the pairs
(the ordered pairs are right im just not sure the order i have it in is right please let me know)
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?
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
help with this question please
A doll's house is
1/8
the size of a real house.
The length of the doll's house is 1.5m.
How long is the real house?
Answer:
12m,
Step-by-step explanation:
1.5 times 8 =12A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the nearest tenth of a meter, corresponding to the 43.4-m base.
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.
The area of a parallelogram = base × height
= 8.7m × 17.3m
= 150.51m²
Both parallelograms have the same area
Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:
= 150.51m²/43.4m
= 3.4679723502m
Approximately = 3.5m
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
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
Find the sale price to the nearest cent.
5. The sale price of a video game that has been
discounted 40% is $15.48. What was the original
price of the video game?
What is an equation of the line that passes through the points (-4,4) and (4,6)
Answer:
y=1/4x+5
Step-by-step explanation:
1/4x is your slope you get from graphing
Determine a pair of angles (one positive and one negative) in degree measure coterminal to the angle 117°.
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.
B = 117° + 1*360° = 477°
For the negative one, use n = -1
B = 117° - 1*360° = -243°
Then the two angles are 477° and -243°
The correct option is B.
just help me again for 2 times
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
Write a function that represents the total cost of your family's outing to the soccer game after x hours.
Answer:
Please attach an image.
f(x) = (cost)x
Answer:
c=s*x
Step-by-step explanation:
C will be the total cost of our family's outing to the soccer game
While x will be the hours
and S will be the soccer game
So s*x will equal the cost
Making c=.
Hope this helps!
:D
If a=3 and b=7 find the value of
2ab
Answer:
2ab-87=12 to the 100th times 2ab equals 79 the answer
Step-by-step explanation:
which is the equation of a hyperbola centered at the origin with focus ( 0,4) and vertex (0,sqaure root 12)
Answer:
the equation of the hyperbola is y^2/12-x^2/4=1
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The ans above is A
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.
What kind of fraction will you have when the percent is over 100%
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:
110%convert to fraction... [tex]\frac{110}{100}[/tex]simplify... [tex]\frac{11}{10}[/tex]You can go further by making it a proper fraction but that is beyond the current problem we are solving.
Is the line y = 0.6x - 1
Answer:yes!
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
To prove check out this screenshot Mark my answer the brainliest to tell you the 4 math calculators :)