This shows that a reasonable domain for this function is [0, 16)
Domain of a functionThe domain of a function is a value of the independent variable of the function for which it exists.
Given the equation below:
M(x) = −30x + 480
Since the function represents the The amount of money remaining in the budget for marketing then the function f(x) must be greater than zero;
−30x + 480 > 0
-30x> -480
x < 480/30
x < 16
This shows that a reasonable domain for this function is [0, 16)
Learn more on domain of a function here: https://brainly.com/question/26098895
#SPJ1
Jacob has 298 baseball cards. About how many
baseball cards does Jacob have? Round to the
nearest 100.
Answer:
300
Step-by-step explanation:
5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down
2.
Robert heard that there 94 different apartments in the part of New York City he is considering moving to
rental price is $1,800 with a standard deviation of $100. He is assuming his data is normally distributed
to know how many apartments he will have to look at if his goal rental price is $1,700. Use the standard
table to help Robert narrow down his search to How Many Apartments are priced under $1,700
work out the y^3 + 5y when y = 2
Step-by-step explanation:
y³ + 5y
2³ + 5 × 2
8 + 10
18...
Hi!
[tex]\diamondsuit[/tex] Plug in 2 for y:
[tex]\boldsymbol{2^3+5(2)}[/tex]
[tex]\diamondsuit[/tex] Cube 2 first:
[tex]\boldsymbol{8+5(2)}[/tex]
[tex]\diamondsuit[/tex] Multiply 5 times 2 next:
[tex]\boldsymbol{8+10}[/tex]
[tex]\diamondsuit[/tex] Add.
[tex]\boldsymbol{18}[/tex]
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{Answer:~~18}}}}[/tex]
Cheers!!I hope I helped, have an amazing rest of your day!
If you need any explanation or clarification - comment! :)
Write 0.003 59 in standard form.
Answer:
answer is 3.59×10^-3.
.
mark me as a brainliest
solve the following below
6 3/5 + 4 1/2
Help! Multiply (3.25 x 10−9)(6.7 x 1015). Write the final answer in scientific notation.
21.775 x 10−135
2.1775 x 10−134
21.775 x 106
2.1775 x 107
Answer:
D. 2.1775 x 10^7
Step-by-step explanation:
I just finished the quiz and got it correct
Hope its not to late!
Answer:
2.1775 x 107
Step-by-step explanation:
To pay for a home improvement project that totals $9,000, Genesis is choosing between taking out a simple interest bank loan at 9% for 3 years or paying with a credit card that compounds monthly at an annual rate of 18% for 7 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $295, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $272.50, which is lower than the monthly credit card payment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
The monthly credit card payment would be $374.21, which is lower than the monthly payment on the bank loan.
well, first off, let's see how much each one costs per month.
so, hmmm if she goes with the Bank loan at 9% for 3 years
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ A=9000[1+(0.09)(3)] \implies \boxed{A = 11430}[/tex]
now, that's for 36 months, so she'd be owing the Bank per month [tex]\cfrac{\stackrel{total}{11430}}{\underset{months}{36}}~~ = ~~\text{\LARGE 317.5}[/tex]
now let's take a look at the Credit Card's loan at 18% for 7 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9000\\ r=rate\to 18\%\to \frac{18}{100}\dotfill &0.18\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=9000\left(1+\frac{0.18}{12}\right)^{12\cdot 7} \implies A \approx \boxed{31433.31}[/tex]
now, in 7 years there are 84 months, thus [tex]\cfrac{\stackrel{total}{31433.31}}{\underset{months}{84}}\approx \text{\LARGE 374.21}[/tex]
so, the Bank will give her a better deal per month, and to be honest altogether.
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
Option C is the correct answer.
What are simple interest and compound interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
We have,
Simple interest:
Principal = $9000
Rate = 9%
Time = 3 years
Simple interest:
= P x R x T / 100
= 9000 x 9 x 3 / 100
= 2430
Amount = simles interest + principal
A = 9000 + 2430 = $11430
3 years = 36 months
Monthly payment = 11430 / 36 = $317.5
Compound interest:
Principal = $9000
Rate = 18%
Time = 7 years
A = P [tex](1 + \frac{18}{100}) ^{7}[/tex]
A = 9000 [tex](1 + 0.18) ^{7}[/tex]
A = 9000 x3.19
Amount = $28,710
7 years = 84 months
Monthly payment = 28710 / 84 = $341.78
Thus,
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
someone pls help asap thank u so much
Answer: $16.67
Step-by-step explanation:
8% of $48 = 16.67
The first one would be $ 3.59
Explanation- 15% of 23.95 = 3.5925
Rounded off to max. 2 decimal places:
Percentage of
15% of 23.95 ≈ 3.59
Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. what is the probability that the sum of the two rolls equals 5 ?
The probability that the sum of the two rolls equals 5 is 1/16.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given a single die with 8 sides (numbered 1, 2, 3, ..., 8) is rolled twice, the total outcome will be:
Total outcome = 8^2
Total outcome = 64
For the sum of two rolls, the expected outcome will be:
E = {(1, 4), (4, 1), (3, 2), (2, 3)}
n(E) = 4
Pr(sum of the two rolls is 5) = 4/64
Pr(sum of the two rolls is 5) = 1/16
Hence the probability that the sum of the two rolls equals 5 is 1/16
Learn more on probability here;
brainly.com/question/24756209
#SPJ4
Esearchers followed 803 patients, of whom 398 ended up getting surgery. after two years, of those who had surgery, 63% percent said they had a major improvement in their condition, compared with 29% among those who received nonsurgical treatment. a. what is the probability that a patient had surgery and experienced a major improvement in his or her condition? b. what is the probability that a patient received nonsurgical treatment and experience a major improvement in his or her condition?
The required probability that a patient had surgery and experienced a major improvement 31% and that a patient received nonsurgical treatment 14.5%.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Number of patients who got surgery = 398,
63% of percent said they had a major improvement in their condition,
= 0.63 * 398 ≈ 250
29% among those who received nonsurgical treatment,
= 0.29 * (803 - 398)
= 0.29 * 405
≈ 117
Now,
The probability that a patient had surgery and experienced a major improvement in his or her condition.
= 250 / 803
= 31%
The probability that a patient received nonsurgical treatment and experienced an improvement in his or her condition.
= 117 / 803
= 14.5%
Thus, the required probability is 31% and 14.5%.
Learn more about probability here:
brainly.com/question/14290572
#SPJ4
4 (c) The high mountains of the world
expression for "the quotient of 6 and y."
Answer:
Step-by-step explanation:
That expression can be written as:
Hope it helped,
I HAVE 2 MINS TO ANSWER THIS HELP
Answer:
A.
Step-by-step explanation:
In the 2nd Quadrant, the y is POS and the x is NEG. That's what will happen if reflected from the 1st Quadrant over the Y axis.
Answer: A
Step-by-step explanation:
-10+l 6+-17l - - 14 show how you got the answer
The solution to the expression -10 + |6 + -17| -- 14 is 15
How to evaluate the expression?The expression is given as:
-10+l 6+-17l - - 14
Rewrite properly as
-10 + |6 + -17| -- 14
Evaluate the sum and the difference
So, we have:
-10 + |6 + -17| -- 14 = -10 + |-11| + 14
Remove the absolute bracket
-10 + |6 + -17| -- 14 = -10 + 11 + 14
Evaluate the sum
-10 + |6 + -17| -- 14 = 15
Hence, the solution to the expression -10 + |6 + -17| -- 14 is 15
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
Cathy is purchasing a DVD player and a TV at the local electronic store. The DVD player costs
$49.36, and the TV costs $705.20. If she plans to pay for them in 12 equal payments, then what is her
monthly cost?
The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
What is debt?
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We know the formula for the monthly payment:
It is given that:
Cathy is purchasing a DVD player and tv at the local electronic store.
The DVD player costs $49.36 and the tv cost $705.20.
If she plans for them in 12 equal payments,
Total cost(combining the cost of the DVD player and TV cost):
= $49.36 + $705.20
= $754.56
Per month payment = $754.56/12
Per month payment = $62.88
Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
Learn more about the debt here: brainly.com/question/17286021
#SPJ9
find the product of the next two numbers in the sequence.
-27,-17,-13,-9, _ , _
Answer:
-5,-1
Step-by-step explanation:
add 4 to get the next number
Aisha wants to ride her bicycle 18.2 miles this week. She has already ridden 5 miles. If
she rides for 4 more days, write and solve an equation which can be used to
determine m, the average number of miles she would have to ride each day to meet
her goal.
Answer:
3.3m each day.
Step-by-step explanation:
The equation will be 18.2 = 5 + 4m18.2=5+4m
Solve for m to get 4m = 13.24m=13.2
m = 3.3m=3.3
She would have to ride 3.3 miles each day to meet her goal.
Answer: 3.3 miles per day
Step-by-step explanation: 13.2/ 4=3.3
Hi you guys. Did I do this right ? I got 18
Answer:
the answer seems right to me
HELP ME PLEASE SUPER EASY
6.8x10^6, 6.6x10^6, 6.1x10^6, 6x10^
Answer:
6 x 10^6, 6.1 x 10^6, 6.6 x 10^6, 6.8 x 10^6
Step-by-step explanation:
need a decent explanation thanks!
from what I read, the roads look like the picture below.
first off, we'd want to know the distance in "red", well, using the pythagorean theorem, that'd be √(127² + 47² ), which gives us around 135.4 miles.
now, the larger triangle containing the "red" line and the smaller triangle on the left-side containing the "green" line, are similar triangles by AA, so we can use proportions to get the distance from Appletown to "park and ride", because that is the distance that Irving is going to be covering at 45 mph, so that'd be like
[tex]\cfrac{135.4}{127}~~ \approx ~~\cfrac{\textit{park and ride}}{94}\implies \cfrac{135.4\times 94}{127}\approx\textit{park and ride}\implies 100.2\approx\stackrel{park~\&}{ride}[/tex]
now, we know that Irving is going to be covering that distance at 45 mph, so
[tex]\begin{array}{ccll} miles&hour\\ \cline{1-2} 45&1\\ 100.2&h \end{array}\implies \cfrac{45}{100}\approx\cfrac{1}{h}\implies h\approx\cfrac{100}{45}\implies h\approx 2.22[/tex]
without boring you to death, that's about 2 hours and 13 minutes.
well, that means Irving, taking off at 8am, is going to arrive at "park and ride" at 10:13am roughly.
now, we know Carol is taking off at 9am, an hour later than Irving, and she'll be traveling the "green" distance up to the junction, well, we know her distance is 42 miles plus some change, let's use proportions to get the change.
[tex]\cfrac{47}{127}=\cfrac{change}{94}\implies \cfrac{47\cdot 94}{127}=change\implies 34.8\approx change[/tex]
so for Carol to get to "park and ride" she'll be covering about 42 + 34.8 miles, and she needs to get there by 10:13am, that is, 1.22 of an hour later so she can get there at the same time Irving does.
so she needs to cover roughly 76.8 miles in 1.22 hours, let's do the fraction for that in miles over hours.
[tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95[/tex] due to rounding we get 0.95, but should be 0.94 if we adjust the rounding, but roughly [tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95~\frac{miles}{hour}[/tex]
OURSE
4. Which statement is false? (1 point)
Every integer is a real number.
Every real number is a rational number.
Every positive rational number has a square root.
Every integer is a rational number.
Answer:
Every positive rational number has a square root.
Step-by-step explanation:
this is not true because there are prime numbers
What are all the solutions for the inequality m> −9?
m=3
m= −20
m= −12
m= −2
Answer:
m = [-9, +infinity]
Step-by-step explanation:
A teacher surveys a random group of students about their preference for doing classwork
online or on paper. The results are shown in the table below.
STUDENT CLASSWORK
PREFERENCE
Preference
Online
Paper
Number of
Students
17
8
Based on the results, how many students out of 350 will most likely have a preference to
do their classwork online?
Show your work.
The number of students those who will most likely have their preference to do their classwork online is 238 out of 350
According to the question statement, A teacher surveys a random group of students about their preference for doing classwork online or on paper.
17 Preferred Online and 8 Preferred on paper.
We are supposed to find the number of students who will most likely have their preference to do their classwork online.
We will be using the concept of Probability for solving this.
[tex]Probability(Event)=\frac{Favourable Outcomes}{Total Outcomes}[/tex]
Probability(Event) = Favorable Outcomes/Total Outcomes
For the survey probability of students preferring online mode of classwork is = [tex]\frac{17}{17+8} =\frac{17}{25}[/tex]
= [tex]0.68[/tex]
Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68
Let the number students preferring online mode of classwork be "x"
so [tex]\frac{x}{350} =0.68[/tex]
or [tex]x=0.68*350\\x =238[/tex]
Therefore, the number of students those who will most likely have their preference to do their classwork online is 238 out of 350
Probability: P(A) = n(A)/n(S)where P(A) is the probability of an event “A”, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
If you want to learn more about probability, click on the link given below:
https://brainly.com/question/11234923
#SPJ9
A painting service charges $65 for a project in addition to $11 per hour. if they charge you a total of $263, how many hours did it take to complete the project?
Answer:
18 hours.
Step-by-step explanation:
Subtract $65 from the total.
263 - 65 = 198
Divide by 11.
198 ÷ 11 = 18
Answer:
18 hours
Step-by-step explanation:
$263-$65=$198
$198÷$11=18 hours
Find the product. Write your answer as a fraction in simplest form.
-2(-1 1/4)
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
Negative times negative equals positive
2 * 1.25 = 2 * 1 + .25 * 2 = 2.5
Use the data and create a formula for the function that approximates the ground roll for a fully loaded cessna 172 at an elevation of:_____
The formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .
What is angle of elevation ?
The angle from the horizontal upward to an item is referred to as the angle of elevation. The line of sight of an observer would be above the horizontal. The angle from the horizontal downward to an item is referred to as the "angle of depression." The line of sight of an observer would be below the horizontal.Let the formula for the exponential function that approximates the ground roll for a fully loaded Cessna 172 at an elevation of x be
y =A(B)x ....(1)
Here,
A = ground roll at x =0,
B = growth factor.
Since at x =0, , Ground roll is = A = 585 ft ....(2)
On putting A = 585 in equation (1), we get
y = 585(B)x ....(3)
Now, at elivation of x = 1000 ft ,
Ground roll y = 640 ft.
So, putting these values in equation (3), to get
640 = 585(B)1000
Reversing the sides to get
585(B)1000 = 640
Or B1000 = 640/585
Or B1000 = 1.09017094
Or B = (1.09017094)1/1000
Or B = 1.00009 .....(4)
On putting the value of B in equation (3), we get
y = 585(1.00009)x
Hence, the formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .
Learn more about angle of elevation
brainly.com/question/21137209
#SPJ4
which function has an inverse that is also a function? {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
The correct option is A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.
The function which also has an inverse that is also a function is {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.
What is termed as a inverse function?An inverse in mathematics is a function which serves to "undo" another function. That is, if f(x) yields y, then placing y into the inverse of f yields x.
A function is a type of relationship that binds inputs to primarily one output.The machine will only acknowledge inputs which are primary criterion as part of a function's domain and will only generate one output for each input.In some other words, the function is the nature of the relationship between variables.In response to the given question
We understand that such a function is really only one that has a unique y value that corresponds to x.
An inverse function is only a function is if function being inversed is also a function.
Thus, option (A) has all x corresponding to y values that are different, but all remaining options have the values repeating, so that will not be a function because only (A) has to inverse.
To know more about the inverse function, here
https://brainly.com/question/3831584
#SPJ4
The complete question is -
Which function has an inverse that is also a function?
A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
B. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
C. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
D. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
What statements describe the properties of a plane? select three options. a plane is one dimensional. a plane has length and width. a plane extends infinitely in all directions. a plane is precisely defined. a plane is a flat surface.
The correct options for defining a plane are-
2)A plane has length and width.3)A plane extends infinitely in all directions5)A plane is a flat surface.What is a plane?A plane is a flat, 2-dimensional surface which extends indefinitely in mathematics. Planes can appear as infinitely expanded subspaces from some multidimensional space, such as one of the room's walls, or they can exist independently, as in the configuration of Euclidean geometry.
Some key properties of the plane are-
If two distinct planes exist, they either are parallel to one another or intersect in a line.A line either runs parallel to the a plane, intersects it at a specific point, or exists within the plane.If two distinct lines are perpendicular to same plane, they has to be parallel to one another.Two planes that are perpendicular to same line must be parallel.Parallel planes & intersecting planes are the two types of planes. Parallel planes are two non-intersecting planes, and intersecting planes are planes that intersect along a line.To know more about the plane, here
https://brainly.com/question/2251564
#SPJ4
The correct question is -
What statements describe the properties of a plane? Select three options.
1)A plane is one dimensional.
2)A plane has length and width.
3)A plane extends infinitely in all directions.
4)A plane is precisely defined.
5)A plane is a flat surface.
Find the area of the parallelogram shown below
44
55
47
Not sure how to go about this
Answer:
hoping the equation wasn't cut off. from what i see it started at 1/2.
-3
__
Work[tex]\left(4\right)^2=16\\=\frac{1}{2}\cdot \:16-2\left(4\right)-3\\=\frac{1}{2}\cdot \frac{16}{1}\\=\frac{1\cdot \:16}{2\cdot \:1}\\=\frac{16}{2}\\\frac{16}{2}=8\\=8-2\left(4\right)-3\\2\left(4\right)\\2\cdot \:4 = 8\\=8-8-3\\8-8=0\\0-3\\= -3[/tex]
__
Hope this helps!