Answers
Answer:
y= 20x
Step-by-step explanation:
\(40/2=100/5=200/10=20\) linear function.
I hope this help you
Related Questions
If $22,000 is invested in an account earning 4.5% interest compounded continuously,
determine how long it will take the money to quadruple. Round to the nearest year.
Use the model A = Pet where A represents the future value of P dollars invested at
an interest rate r compounded continuously for t years.
OA) 31 years
B) 36 years
C) 3 years
D) 308 years
Answers
Answer:
approx 32years so pick answer A
Step-by-step explanation:
22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979
A newsstand spends $600 a month on rent and electricity, and it spends $2
for each magazine that it sells. The newsstand charges $5 for each
magazine. If n is the number of magazines, which equation represents the
profit function of the newsstand?
O A. p = 2n + 600
B. p = 3n-600
O c. p = 600n + 3
O D. p = 5n-600
Answers
Answer: B. p = 3n-600
Step-by-step explanation:
Cost = 2n + 600Earned = 5nProfit(p) = Earned - Cost
p = 5n - (2n + 600) = 5n - 2n - 600 = 3n - 600
The equation representing the profit function of the newsstand is
p = 3n - 600
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The revenue generated by selling n magazines is 5n dollars.
The cost of selling n magazines is the sum of the cost of purchasing n magazines and the fixed cost of rent and electricity, which is $2n + $600.
Now,
The profit function can be represented by:
p = revenue - cost
= 5n - (2n + 600)
= 3n - 600
Thus,
The equation representing the profit function of the newsstand is
p = 3n - 600
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
Triangle ABC is similar to triangle DEF. Using any of the three methods you prefer, determine the length of side DF.
A. 15.5
B. 13.5
C. 54
D. 16
Answers
The length of side DF is 13.5.
What is a triangle?A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as △PQR.
If the triangles are similar, the proportion between their corresponding sides is constant, so, if BC is corresponding to EF and AC is corresponding to DF, we get:
\(\dfrac{\text{EF}}{\text{BC}} =\dfrac{\text{DF}}{\text{AC}}\)
So, replacing EF by 6, BC by 4, and AC by 9, we get:
\(\dfrac{6}{4} =\dfrac{\text{DF}}{9}\)
Then, we can solve for DF:
\(\dfrac{6}{4} \times 9=\dfrac{\text{DF}}{9} \times9\)
\(\dfrac{6\times4}{9} =\text{DF}\)
\(\dfrac{54}{9} =\text{DF}\)
\(13.5=\text{DF}\)
Hence, the length of side DF is 13.5.
Learn more about the triangle at:
https://brainly.com/question/31240924
Solve the equation. Determine whether the equation has one solution, no solution, or
infinitely many solutions.
40 - 20 = -20 + 40
Answers
Answer:
20=20
Step-by-step explanation:
40-20=-20+40 or, 20=20
what are the coordinates of the other three vertices of thr hexagon
Answers
A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality constant is 3.
Answers
Answer: Mass of Lamina is (K/3)
Centre of mass is (3/8, 3pi/16)
Step-by-step explanation:
Find explanation in the attachments
Please help me this is due Monday!
Answers
Answer:
1.
2. Additive Identity
3. Associative Property
4. Multiplication Inverse Property
5. Multiplication Property of 0
6. Commutative Property
7.
8.
Step-by-step explanation:
2. additive identity
3. associative
4. multiplication inverse
5. multiplicative property of zero
6. associative property
7. additive identity
8. symmetric property
A restaurant customer wants to rate 6 different dishes that were being served. In how many ways can the customer rate the 6 dishes?
Answers
Answer:
720
Step-by-step explanation:
As the order of the rating does not matter, we have a case of permutation.
P(6) = 6! = 6.5.4.3.2.1 = 720
Which of the following is true for the function f(x)=2cos(x2)
a. The period is π
b. The period is π2
c. The period is 2π
d. The period is 4π
e. The period is 2
Answers
Answer:
c. The period is 2π
Step-by-step explanation:
The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.
For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.
This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)
solve the system of equations y = 2x - 5; y = -2x + 3
Answers
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
In the proportion x/5= 15/3 which number is equal to x in the proportion?
Answers
x = 25
Step-by-step explanation:
We are given a word phrase:
In the proportion x over 5 equals 15 over 3 , which number is equal to x in the proportion?
So we will translate it to make it easier to solve.
Proportion x over 5 --->
equals ---> =
15 over 3 --->
Combining them, we get:
Solving this for x using cross multiplication:
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
Answers
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank you!
Answers
Answer:
Domain = (-∞, ∞) Range = (-∞, ∞)
End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞
Inflection Point: (2,0)
Step-by-step explanation:
the least common multiple of the two numbers is 40 the ratio of the greater number is the to the lessor number is 5, 4
Answers
if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.
What is Least Common Multiple (LCM)?Least Common Multiple is the meaning of the abbreviation LCM.
The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.
It can also be computed using two or more numbers.
Finding the LCM of a given collection of numbers can be done in a variety of ways.
Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.
In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.
The smallest number among all numbers is called the least common multiple of two or more numbers.
According to our question-
The number LCM is equal to 40.
4 × 5 × x = 40
20 × x = 40
20x=40
x=2
The larger number is equal to 4 x=4(2)=8.
The smaller value is =5x=5(2)=10.
learn more about lcm click here:
https://brainly.com/question/233244
#SPJ4
Complete question-
The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
Answers
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
for such more question on length
https://brainly.com/question/20339811
#SPJ11
Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answers
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
For more such questions on present value profile visit:
https://brainly.com/question/30390056
#SPJ8
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Answers
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
For similar question on surveyed.
https://brainly.com/question/14610641
#SPJ8
The difference between the squares of two numbers is 15. Three times the square of the first number increased by the square of the second number is 49. Find the numbers
Answers
Answer: 256,1
Step-by-step explanation:
\(\sqrt{x} - \sqrt{y} =15\\\sqrt{y} = 49-3\sqrt{x} \\\\\sqrt{x} -(49-3\sqrt{x} ) =15 \\so, x=256\\substitute \{x}\ :\\\\\sqrt{y} = 49-3\sqrt{256} =y=1\)
so, 256=x
and, y=1
Hope this Helped!
Answer:
1, 4 or -1, -4
Step-by-step explanation:
Let the two numbers be x and such that x > y.
According to the first condition:
\(x^2 -y^2= 15\)
\(\implies x^2 =y^2+15\)......(1)
According to the second condition:
\(3x^2 +y^2= 49\)
\(\implies 3(y^2+15) +y^2= 49\)
(From equation 1)
\(\implies 3y^2+45 +y^2= 49\)
\(\implies 4y^2 =49-45\)
\(\implies 4y^2 =4\)
\(\implies y^2 =\frac{4}{4}\)
\(\implies y^2 =1\)
\(\implies y =\pm 1\)
When y = 1
\(\implies x^2 =(1)^2+15=1+15=16\)
\(\implies x =\pm 4\)
When y = -1
\(\implies x^2 =(-1)^2+15=1+15=16\)
\(\implies x =\pm 4\)
Thus, the required numbers are either 1, 4 or -1, -4
are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
Answers
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
Learn more about ratio and proportion -
https://brainly.com/question/12024093
#SPJ4
The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.
Find the product.
a.
b.
8 15 19
7 -4 12
1
-15 19
-12-19
0-13
-600 -760
-114 106
-120 -114
-760
106
C.
d.
-354 -406
-111 27
57 71
3
17
Answers
The product of the values can be obtained by multiplying as follows:
1. 8 * 15 * 19 = 2280
2. 7 * -4 * 12 = -41
How to find the product of a valueTo find a product simply means to multiply the figures in order to arrive at a value. The question asks that we get the product of some values. To get these values, we are to multiply the numbers given to arrive at the answers.
It is possible to multiply two, three, or more values at the same time. So, another word that is used in place of multiplication is "product" as is the case in the question given.
Learn more about products here:
https://brainly.com/question/10873737
#SPJ1
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
In planning her retirement liza deposit some money at 4% interest with twice as much deposited at 5% find the amount deposited at each rate if the total annual interest income is $1,680
Answers
Answer:
see the attachment
Step-by-step explanation:
side of which is one foot ...
Top answer · 0 votes
The length of a side of a park is 2400 feetA scale drawing is a smaller image of another ... More
18 votes
Answer:Each side length of the park is 2400 feet.
What is 4 & 1/2+1/8? *
Answers
Answer:
4 5/8
Step-by-step explanation:
Rewriting our equation with parts separated
=4+12+18
Solving the fraction parts
12+18=?
Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.
LCD = 8
48+18=58
Combining the whole and fraction parts
4+58=458
Complete the equation of the line through (3, -8) and (6, -4).
Use exact numbers.
y =
Answers
Step by step
First we find slope by using formula
y2 - y1 over x2 - x1
Points (3, -8) and (6, -4)
-4 - -8 over 6 - 3
4 over 3 = 4/3 slope
Now we find our equation with point slope formula
y - y1 = m (x - x1)
Using points (6, -4)
y - -4 = 4/3 (x - 6)
Distribute
y + 4 = 4/3x - 8
subtract 4 from each side to isolate y
y + 4 -4 = 4/3x -8 -4
y = 4/3x -12
how many miles can a airplane fly in 2 hours
Answers
Answer:
It depends on how many miles the airplane flew per mile. It also depends on atmospheric conditions specifically wind speed and direction.
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
Find out more on unemployment at https://brainly.com/question/13280244
#SPJ1
The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
The length of a rectangle is six times its width. If the perimeter of the rectangle is 112 ft, find its length and width.
Answers
Please help me with this proof.
Answers
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
3. If dy = x^2y^2 , then what is d2y/dx2
Answers
\(\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)\)
eddie spends £2.75 on cake and £1 on groceries and has 2/3 left over how much did he start with
Answers
answer:
£11.25
explanation:
2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.