Round to the nearest hundredth.
29.995
Answer:
30.00
Step-by-step explanation:
Hope this helps!
Rewrite 4x + 16 using a common factor.
The rewritten expression using a common factor is:
4x + 16 = 4*(x + 16)
How to rewrite the expression using a common factor?Here we want to rewrite the expression:
4x + 16
Ussing a common factor, so let's factorize the terms.
The first one is simple:
4x = 4*x
The second one is also simple, we can write:
16 = 4*4
Then the common factor is 4, and we can rewrite the expression as:
4x + 16 = 4*(x + 16)
Learn more about common factors at:
https://brainly.com/question/219464
#SPJ1
Enrique buys a jacket for $35 and pants for $29. Sales tax is $0. 07 for every dollar of the purchace price. He pays $2. 75
Enrique will pay $71.23 for his purchases.
Finding the total cost:To find the total cost of Enrique's purchases, add the cost of the jacket and the pants, and then add the sales tax and processing fee to get the final cost.
Where to calculate the sales tax, use the formula of multiplying the purchase price by the tax rate, which is given as $0.07 for every dollar of the purchase price.
Here we have
Enrique buys a jacket for $35 and pants for $29.
Sales tax is $0.07 for every dollar of the purchase price.
He pays a 2.75 processing fee for paying with a check.
The total cost of Enrique's purchases before tax is:
=> $35 + $29 = $64
The sales tax is $0.07 for every dollar of the purchase price.
So, the total tax paid on the purchase is:
=> $ 64 x 0.07 = $4.48
Hence, the total cost of the purchases after tax is:
=> $64 + $4.48 = $68.48
In addition to the cost of his purchases and the sales tax, Enrique pays a $2.75 processing fee for paying with a check. So, the total cost of his purchases including tax and processing fee is:
=> $68.48 + $2.75 = $71.23
Therefore,
Enrique will pay $71.23 for his purchases.
Learn more about Sales tax at
https://brainly.com/question/29102326
#SPJ4
Complete Question:
Enrique buys a jacket for $35 and pants for $29. Sales tax is $0.07 for every dollar of the purchase price. He pays a 2.75 processing fee for paying with a check. How much will Enrique pay for his purchases?
a) Why would a department manager receiving an allocation of costs care about management's methodology of overhead allocation?
b) What difference do the allocation base and rate make? Don't all of the overhead costs eventually make their way to the income statement?
c) Cost planning is budgeting. Are budgets as helpful as theoretically proposed? Consider budgets from a business perspective. Which budget(s), based on reading, do you believe is/are most important to the organization's success? How does the government's budget process compare to the operating budgeting process described in the chapter? What are the similarities and differences?
a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.
b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base
c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.
a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.
b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.
Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.
c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.
The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.
The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.
To learn more about Budgets refer:-
https://brainly.com/question/31952035
#SPJ11
i’ll give brainliest!
Brad made a graph showing how many students were absent from school every day last week.
2. how many students were absent on day3? explain how you know.
3.on which day were the greatest number of students absent? how many students were absent that day?
ANSWER:
2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.
3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent
I obviously know this is the answer
steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
hometown:8,6
san antonio:-6,-7
a. if the girls take turns driving and each girl drives the same distance,at what point should they stop from emily to begin her turn as the third driver?
b.at what point does emily's turn to drive end?
Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown
\(H(x,y) = (8,6)\)
San Antonio
\(T(x,y) = (-6,-7)\)
Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
\(S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)]\) (1)
\(S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]\)
\(S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)\)
\(S(x,y) = (4.5,2.75)\)
Andra
\(A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)]\) (2)
\(A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]\)
\(A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)\)
\(A(x,y) =(1, -0.5)\)
Emily
\(E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)]\) (3)
\(E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]\)
\(E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)\)
\(E(x,y) = (-2.5, -3.75)\)
a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?
Emily's beginning point is the Andra's stop point, that is, \(A(x,y) =(1, -0.5)\).
Emily should begin her turn as the third driver at point (1, -0.5).
b. At what point does Emily's turn to drive end?
Emily's turn to drive end at point (-2.5, -3.75).
Paul received a coupon for 43 percent off one item at a clothing store let b be the original price of the item use the expression b-43 for the new price of the item write an equivalent expression by combining like terms
The equivalent expression for the new price of the item is 0.57b. With b be the original price of the item.
The original price of the item is represented by "b". Paul received a coupon for "43 percent" off one item at a clothing store. This means that the new price of the item will be the "original price" minus the discount. The discount is calculated by multiplying the original price by the percentage discount.
So, the discount is:
43 percent of b = 0.43 * b
The new price of the item is the original price minus the discount:
b - 0.43 * b = b - 0.43b
This expression can be simplified by combining the like terms. The like terms in this expression are b and -0.43b.
To combine like terms, we add the coefficients of the like terms:
1b + (-0.43)b = 0.57b
So, the equivalent expression for the new price of the item is:
0.57b
This means that the new price of the item is 57% of the original price. Therefore, the equivalent expression for the new price of the item is 0.57b.
Here to learn more about the Equivalent Expression at the link https://brainly.com/question/15775046
#SPJ11
If the distance from 0 to x on a number line is greater than 0, then -5 + x is positive?
True or false
True.
Given the statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
For the given question,
The distance from 0 to x on a number line is greater than 5
We write the above statement in mathematical expression form as,
⇒ |x - 0| > 5
⇒ |x| > 5
⇒ x > 5
We need to determine the value of an expression -5 + x
From (1),
⇒ x > 5
Subtract -5 from both sides,
⇒ -5 + x = -5 + 5
⇒ -5 + x > 0
From the above expression, we observe that the value of the expression is always greater than 1.
This means the value of an expression -5 + x is positive.
Therefore, the given statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
In mathematics, a number line can be described as a figure that symbolizes numbers on a consecutive line. The digits on a number line are positioned successively with equal spacing along its length. It can be infinitely expanded in any direction and is often depicted horizontally.
Absolute value is the distance between a digit and zero on a number line. Since the space is forever positive, the absolute value will always be positive.
Learn more about the Number Line at
https://brainly.com/question/28345331?referrer=searchResults
What is the measure of
Answer:
27
Step-by-step explanation:
Answer: I'm thinking 27 but not sure though.
Step-by-step explanation:
Please someone help me
Answer:
is their a question?????
For a biology experiment, students labeled the plants in a greenhouse in order to track their heights over the next few weeks. The greenhouse contained ROSES labeled 1, 2, 3, 4, 5, 6, LILIES labeled 1, 2, 3, 4, 5, and VIOLETS labeled 1, 2, 3, 4. If a single flower is picked at random, what is the probability that the flower is NOT A ROSE?
Using it's concept, it is found that there is a 0.6 = 60% probability that the flower is NOT A ROSE.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 4 = 15 flowers, out of which 5 + 4 = 9 are not roses, hence the probability is given by:
p = 9/15 = 0.6 = 60%.
0.6 = 60% probability that the flower is NOT A ROSE.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for and round your answer to the nearest hundredth.
Answer:
I think 8
Step-by-step explanation:
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?
The width of the piece of metal will be 24 inches while the length will be 29 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's say the width of metal w then the length will be w + 5
Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;
Length = w+5 - 2 -= w + 3
Width = w - 2
Height = 1
So,
Volume = (w+3)(w-2)1
594 = w² + 2w + 3w - 6
w² + w - 600 = 0
By solving this
w = 24 so width will be 24 and length will be 24 + 5 = 29.
Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".
For more about rectangles,
https://brainly.com/question/15019502
#SPJ2
2x+6y=-24 converted into a slope intercept?
Answer:
y=1/3x+4
Step-by-step explanation:
a forest manager has pair of landsat satellite images for each of 1,250 plots of land. a proportion p of these plots were logged within the past ten years. each day she chooses a simple random sample of four plots, checks their image pairs, and categorizes them as logged or not by completing a spreadsheet like this:
A forest manager is using Landsat satellite images to determine whether 1,250 plots of land have been logged within the past ten years.
The proportion of logged plots is represented by 'p'.
The manager follows these steps daily:
1. Selects a simple random sample of four plots.
2. Examines the image pairs for each selected plot.
3. Categorizes the plots as logged or not logged.
4. Records the results in a spreadsheet.
The forest manager repeats this process daily to gather data on the proportion of logged plots (p) among the 1,250 plots of land.
For similar question on satellite.
https://brainly.com/question/30081351
#SPJ11
Taleen has 8 stamps in her collection, and she decides that each month she will add 3 stamps to her collection.
What does the rate of change represent?
What is the rate of change?
What does the initial value represent?
What is the initial value?
Answer:
The rate of change represents the number of stamps that is added each month.
The rate of change is 3
The initial value represents the number of stamps she had before she started adding 3 every month.
The initial value is 8
Step-by-step explanation:
The rate of change is 3 because that is how many stamps are added each month.
The initial value is 8 since that was the original amount she had before adding stamps every month.
Answer:
Answers are below
Step-by-step explanation:
The rate of change represents the number of stamps added every month.
The rate of change is 3.
The initial value represents how stamps she had before adding more.
The initial value us 8.
The table shows data from a survey asking people what type of writing instrument they like. What is the percent probability that a person likes blue pens? Black pens? Pencils? Estimate the number of people who would say they like pencils or black pens in a survey of 400 people. Writing Instrument Number of People Blue pens 75 Black pens 112 Pencils 63 Question content area bottom Part 1 P(blue pens)= enter your response here%
The percent probability that a person likes blue pens is approximately 18.75%.
In a survey of 400 people, an estimated 175 people would say they like pencils or black pens.
To find the percent probability that a person likes blue pens, we need to calculate the proportion of people who like blue pens out of the total number of people surveyed.
Given that the number of people who like blue pens is 75 and the total number of people surveyed is 400, we can calculate the percent probability as follows:
P(blue pens) = (Number of people who like blue pens / Total number of people surveyed) * 100
P(blue pens) = (75 / 400) * 100
P(blue pens) ≈ 18.75%
To estimate the number of people who would say they like pencils or black pens in a survey of 400 people, we need to add the number of people who like pencils and the number of people who like black pens.
Number of people who like pencils or black pens = Number of people who like pencils + Number of people who like black pens
Number of people who like pencils or black pens = 63 + 112
Number of people who like pencils or black pens = 175
Know more about probability here:
https://brainly.com/question/30034780
#SPJ11
what is the area under the standard normal curve between + 1 standard deviations and +2.5 standard deviation
The approximate probability of getting a z-score between +1 standard deviation and +2.5 standard deviations in a standard normal distribution is 0.1525.
What is the process to find the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations?To find the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations, we can use a standard normal distribution table or calculator. Here are the steps:
Find the area to the right of +1 standard deviation using the standard normal distribution table or calculator.Therefore, the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations is approximately 0.1525.
Learn more about standard deviations
brainly.com/question/23907081
#SPJ11
Find the product 0.025 x 7
A. 0.0175
B: 0.175
C. 1.75
D. 17.5
Answer:
b
Step-by-step explanation:
used a calucator
Name That Scenario: Mail Time We've seen many different scenarios, so let's practice identifying our parameter of interest. Write the appropriate symbol for the parameter of interest for each of the following inference procedures. While not required, you may also think about what type of inference procedure (confidence interval or hypothesis test) would be most appropriate. a) A dorm manager would like to estimate the percentage of all mail items received at the dorm that are considered packages, defined as an item that cannot fit in the dorm mailbox. Type Markdown and LaTeX:
α 2
b) A FedEx warehouse manager would like to assess if the average number of packages sent from online retailers to a neighborhood in Champaign is greater than the average number of packages sent from online retailers to a neighborhood in Urbana. Type Markdown and LaTeX:
α 2
c) A bakery sells many products, including cookies \& cakes. The bakery offers both shipping and store pick-up on the products. The bakery manager woulc like to estimate the difference in store pick-up rates between all cookies and all cakes sold by the bakery. Type Markdown and LaTeX:
α 2
d) How long does mail delivery take? In a review of a mail delivery company, the reviewers would like to examine if there is an association between the weight of the package and the delivery time (the time for the package from pickup to delivery). Type Markdown and LaTeX:
α 2
a) The parameter of interest is the percentage of mail items received at the dorm that are considered packages. This can be denoted as p, where p is the proportion of packages out of all mail items received at the dorm. A confidence interval would be most appropriate for this inference procedure.
b) The parameter of interest is the difference in the average number of packages sent from online retailers to a neighborhood in Champaign and the average number of packages sent from online retailers to a neighborhood in Urbana. This can be denoted as μ1 - μ2, where μ1 is the average number of packages sent to Champaign and μ2 is the average number of packages sent to Urbana. A hypothesis test would be most appropriate for this inference procedure.
c) The parameter of interest is the difference in store pick-up rates between all cookies and all cakes sold by the bakery. This can be denoted as p1 - p2, where p1 is the proportion of cookies that are picked up in store and p2 is the proportion of cakes that are picked up in store. A confidence interval would be most appropriate for this inference procedure.
d) The parameter of interest is the association between the weight of the package and the delivery time. This can be denoted as ρ, where ρ is the correlation coefficient between the weight of the package and the delivery time. A hypothesis test would be most appropriate for this inference procedure.
More on average : https://brainly.com/question/130657
#SPJ11
Find the equation for any horizontal asymptotes for the function below. f(x)= x−11
x 2
+2x+3
Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has two horizontal asymptotes. The upper horizontal asymptote is and the lower horizontal asymptote is (Type equations.) B. The function has one horizontal asymptote, (Type an equation.) C. The function has no horizontal asymplotes.
The function has no horizontal asymptotes.
To determine if a function has horizontal asymptotes, we need to examine the behavior of the function as x approaches positive or negative infinity.
For the given function f(x) = (x - 11) / (x^2 + 2x + 3), let's analyze its behavior as x approaches infinity.
As x becomes very large (approaching infinity), the dominant term in the denominator becomes x^2. Therefore, the function can be approximated as f(x) ≈ (x - 11) / x^2.
When we simplify this expression, we find that as x approaches infinity, both the numerator and denominator grow without bound. However, the numerator (x - 11) is a linear term while the denominator (x^2) is a quadratic term.
Since the degree of the numerator is less than the degree of the denominator, the function does not have a horizontal asymptote as x approaches infinity. In other words, the function does not approach a specific value as x gets larger and larger.
Similarly, when we examine the behavior of the function as x approaches negative infinity, we again find that there is no horizontal asymptote. The function does not approach a specific value as x becomes more and more negative.
Therefore, the correct choice is C. The function has no horizontal asymptotes.
Learn more about horizontal asymptotes here:
brainly.com/question/30176270
#SPJ11
Maria was shopping and wanted to buy her mom an ugly Christmas sweater. There were 3 different brands and each brand was on sale for a different discount/percentage off. All the sweaters have the same original price of $25.00. Brand A is marked 25% off. Brand B is 40% off and Brand C is 15% off. How much is the Brand A sweater after the discount? How much is Brand B after the discount? How much is Brand C after the discount? Which ugly Christmas sweater should Maria buy to get the best deal?'
Brand A: Price = $18.75
Brand B: Price = $15
Brand C: Price = $21.25
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
original price = $25.00.
Brand A:
Discount = 25%
So, Price after discount = 25 - 25% of 25
= 25 - 0.25 x 25
= $18.75
Brand B:
Discount = 40%
So, Price after discount = 25- 40% of 25
= 25 - 0.40x 25
= $15
Brand C:
Discount = 15%
So, Price after discount = 25 - 15% of 25
= 25 - 0.15 x 25
= $21.25
Learn more about Unitary method here:
https://brainly.com/question/22056199
#SPJ1
The length of the diameter, d, of the circle is 24 cm. Find the length of the radius, r, of the circle.
David's airplane trip took 2.2 hours. For one-fourth of that time, the airplane flew at a speed of 880 km/h, and for the rest of the time, it flew at a speed of 640 km/h. What distance did david travel?
Answer:
For half of that time, the airplane flew at a speed of 900 km/h, and for the rest of the time, it flew at a speed of 760 km/h.
Step-by-step explanation:
Answer:
The distance David travelled was 1540 km.
Step-by-step explanation:
To find the total distance David travelled, calculate the distance of the two legs of the journey separately, then add them together.
First leg of the journeyDavid flew at a speed of 880 km/h for one-fourth of 2.2 hours.
One-fourth of 2.2 hours is:
\(\implies \sf \dfrac{1}{4} \cdot 2.2 = 0.55\;\sf hours\)
To calculate the distance of this leg of the journey, substitute the given speed and found time into the Speed Distance Time formula.
\(\implies \sf Speed=\dfrac{Distance}{Time}\)
\(\implies \sf 880\;km/h=\dfrac{Distance}{0.55\;h}\)
\(\implies \sf Distance=880\;km/h \cdot 0.55\;h\)
\(\implies \sf Distance=484\;km\)
Therefore, David travelled a distance of 484 km during the first leg of his journey.
Second leg of the journeyDavid flew at a speed of 640 km/h for the remainder of the journey.
The length of time of the second leg of the journey is 2.2 hours less 0.55 hours:
\(\implies \sf 2.2-0.55=1.65\;hours\)
To calculate the distance of this leg of the journey, substitute the given speed and found time into the Speed Distance Time formula.
\(\implies \sf Speed=\dfrac{Distance}{Time}\)
\(\implies \sf 640\;km/h=\dfrac{Distance}{1.65\;h}\)
\(\implies \sf Distance=640\;km/h \cdot 1.65\;h\)
\(\implies \sf Distance=1056\;km\)
Therefore, David travelled a distance of 1056 km during the second leg of his journey.
Total distanceTherefore, the total distance is the sum of the distances of the two legs of the journey:
\(\sf \implies Total\;distance=484+1056=1540\;km\)
A juice can is 16cm tall and has a diameter of 9cm. The ends of the can are tin and the body is cardboard.
What is the volume of the can?
What area of tin is used?
What area of cardboard is used?
What is the total area surface?
Answer:
a)1017.88 cm³
b)63.62 cm² (corr. to 2 d. p.)
c)452.39 cm² (corr. to 2 d. p.)
d)579.63 cm²
Step-by-step explanation:
a) Volume = π x r x h = π x (9/2) x 16 = 1017.88 cm³
b) area of tin is used = circle = π x (9/2)² = 63.62 cm² (corr. to 2 d. p.)
c) area of cardboard is used = 2 x π x (9/2) x 16 = 452.39 cm² (corr. to 2 d. p.)
d) total area surface = 2(63.62) + 452.39 = 579.63 cm²
4x-2=-6
how to solve this math problem
Answer:8
Step-by-step explanation: First you times 4 x 2 like
4+4=8 here is how i got the four you have to put the four 2 times i hope this helped
Comparing two algorithms.
Say we have two different algorithms with respective runtimes of f(n) and g(n). Given the following cases, prove whether or not f(n) = ϴ(g(n)) is true in each case. Show your work but with the crucial steps only. P.S. sqrt(n) means the square-root of n, aka n^(½).
Case
f(n)
g(n)
A
log(n^200)
log(n^2)
B
sqrt(n)
log(n)
C
3^n
5^n
D
sin(n)+3
cos(n)+1
f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).
A) \(log(n^200) log(n^2)\)
Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100
This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.
B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sqrt(n) / log(n)]
As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
C) 3^n 5^n
Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([3^n / 5^n]\)
As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
D) sin(n) + 3 cos(n) + 1
Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]
As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.
Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.
To know more about log refer here:
https://brainly.com/question/32621120
#SPJ11
Money in a particular savings account increases by about 6% after a year. How much money will be in the account after one year if the initial amount is $100?
GUYS AND GIRLS PLEASE HELP ASAAPPP
Answer:
I feel like its 8, but correct me if I'm wrong I'm not 100 percent sure!
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
(0, 10)
-----------------
Ben wishes to convert $500 us dollars to the japanese yen. one american dollar is worth 123.3 yen. how many yen should he have after the conversion?
After the conversion of $500 in japanese yen Ben will have 61,650 yen.
According to the question.
The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.
Also, it is given that
$1 = 123.3yen
Therefore,
The number of yen Ben have after the conversion of dollars in yen
= 500 × 123.3
= 61,650
Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.
Find out more information about conversion of dollars in yen here:
https://brainly.com/question/2274822
#SPJ4