Answer:
Both F and Z have symmetry.
your car is currently worth 20,000. it is expected to decrease in value by 10% each year. how much will it be by the third year?
Answer:
Your answer would be 14,000 by the third year
You are considering a certain telephone company. They charge S0.18 per minute of talking, plus a fixed base monthly fee of S70.If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C? Select the correct answer below
a) C = 0.18M + 70
b) M = 0.70C + 18
c) C = 0.70M + 18
d) M = 0.18C + 70
Answer:
a is the right answer
Step-by-step explanation:
please give 5 star i need it
Nolan bought 7 packs of
Starbursts, x. He had a
total of 98 individual
Starbursts, y Determine
the constant of
proportionality and write
a linear equation to
represent the
relationship
14
Divide 98 by 7, you get 14.
This is how many starburst are in each packet.
What is X=
5/6 = 10/2x−3
Answer: x= 23/30
Step-by-step explanation:
\(\frac{5}{6}\) = \(\frac{10}{2}x -3\) reduce 10/2 to 5 because 10/2 is 5.
5/6 = 5x -3
+ 3 +3
23/6 = 5x divide both sides by 5.
x= 23/30
A number is multiplied by 6, and that product is added to 2. The sum is equal to the product of 2 and 25. Find the number.
Answer:
8
Step-by-step explanation:
The product of 2 and 25 is 50, so
(6×\(x\))+2 = 50
If you replace x with 8, the equation become true
Hope this helps!
The number that represents the situation is 8.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Let the number be x.
And the number is multiplied by 6, and that product is added to 2. The sum is equal to the product of 2 and 25.
That means,
(6x) + 2 = 2(25)
6x +2 = 50
6x = 48
x = 8
Therefore, the number is 8.
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which of the following is a solution to 3x²= -4+8x?
Answer:
2/3
Explanation:
Given the quadratic function:
\(3x^{2}=-4+8x\)First, rearrange the equation:
\(3x^2-8x+4=0\)Next, factor the expression:
\(\begin{gathered} 3x^2-6x-2x+4=0 \\ 3x(x-2)-2(x-2)=0 \\ (x-2)(3x-2)=0 \end{gathered}\)Thus, this gives:
\(\begin{gathered} x-2=0\text{ or }3x-2=0 \\ x=2\text{ or }3x=2 \\ x=2\text{ or }x=\frac{2}{3} \end{gathered}\)The correct choice is 2/3.
Perform the indicated operation & simplify.
\((8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)\)
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%.
How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
Answer:
The total amount that the consumer had to pay for both products was $ 94.50.
Step-by-step explanation:
Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:
(50 + 40) x 1.05 = X
90 x 1.05 = X
94.5 = X
Therefore, the total amount that the consumer had to pay for both products was $ 94.50.
Answer:
1. Evaluate the expression: $4.50
2. Expand the expression: 2.5 + 2 = 4.5 (4.50)
3. Total tax is 4.50. yes, both the evaluating and expanding got me the same answer.
4. Expanded Expression
Step-by-step explanation:
1. 0.05(50 + 40) evaluated is 4.50
2. I broke apart 4.50 into different numbers and got 2.5 + 2
3. pretty self explanatory
4. again, pretty self explanatory
ical from a point 1.75m grove the ground and lom awa Laway from a Eleve tower the angle of of the top of the tower is to calculate the height of the tower
The height of the tower is 17.32 meters
What is height and distance?Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.
Given that, Ical is 10 meters away from a tower [since angle is not given let the angle of the top of the tower be 60°], we need to find the height of the tower, [see the figure attached]
The whole scene is making a right triangle, so using the concept of trigonometric ratios,
We get,
Tan 60° = height of the tower / distance of Ical from the tower
Tan 60° = height of the tower / 10
Height of the tower = 10 × Tan 60°
Height of the tower = 10 × √3
Height of the tower = 10√3
Height of the tower = 10 × 1.73
Height of the tower = 17.32
Hence, the height of the tower is 17.32 meters
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39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
Determine which of the following best describes the statement below.
"The temperature on randomly selected days throughout the year was measured"
Answer options:
experimental study
observational study
Answer:
observational study to see honestly but this is correct but I don't know the exact reason
A printer can print 12 pages in 9 seconds. What is the closet estimate of the number of pages it can print in one minute
7. You are single and claim 1 allowance. You presently earn $319 per week.
Starting next week you will receive a 5 percent increase in pay and will earn
$335.00. How much more will you have withheld from your weekly pay for federal income tax?
I will withdraw 3 % of the of my weekly pay for federal income tax.
How do you calculate weekly pay for federal income tax?An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate. Individuals (or family units) and corporations are subject to income taxes. The basis for calculating individual income tax is the income received. Since the burden is presumably on the individuals who pay it, it is typically categorized as a direct tax. Income taxes are assessed against both businesses and people based on their profits. Taxable income can be earned from a variety of sources, including earnings, salaries, dividends, interest, royalties, and rent.
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Carter puts 600.00 into an account to use for school expenses the account earns 12%interest compounded monthly how much will be in the account after 7 years
1) In this case, Carter will invest 600 with an interest rate of 12% compounded monthly in 7 years, his future value (A) will be found by:
\(\begin{gathered} A=P(1\text{ +}\frac{r}{n})^{nt} \\ A=600(\text{ 1+}\frac{0.12}{12})^{12\cdot7} \\ A=600(1+0.01)^{84} \\ A=600(1.01)^{84} \\ A=600(2.306722744) \\ A=1384.03 \end{gathered}\)2) So Carter, will take $1384.03 from his investment after 7 years, considering that within that period no other deposit will be made.
A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.
Answer:
s=9
Step-by-step explanation:
8s=72
Divide 72 and 8
s=9
Step-by-step explanation:
Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8=9feet
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
write the expression 5x^-4 using only positive exponents
Answer:
1/5x^4
Step-by-step explanation:
To change a negative exponent to a positive one, flip it into a reciprocal. This is what I have done here.
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
Use the given cost table for the same product from two different companies to create a linear syst
Then solve the system to determine when the cost of the product will be the same and what the
be.
Two online retailers sell organic vanilla extract by the ounce using the following pricing chart.
Vanilla Extract (oz)
Chef Mate
c)
Grocery Gourmet
gla)
2
$13.50
$24.00
3
$18.25
$28.00
4
$23.00
$32.00
5
$27.75
$36.00
gin)
Both Chef Mate and Grocery Gourmet charges
for
ounces of vanilla extract.
Answer:
209 and 369 that's the answer
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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20 points pls help quick
Let f(x) = 3x² + mx + 5 and g(x) = nx² - 4x - 2. The functions are combined to
form the new function h(x)=f(x)xg(x). Points (1,-40) and (-1,24) satisfy the new
function. Determine f(x) and g(x).
Answer:
\(\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2\)
Step-by-step explanation:
We are given the two functions:
\(\displaystyle f(x) = 3x^2 + mx +5 \text{ and } g(x) = nx^2 - 4x -2\)
And that:
\(\displaystyle h(x) = f(x)\cdot g(x)\)
With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions f and g.
First, find h:
\(\displaystyle \begin{aligned} h(x) & = f(x)\cdot g(x) \\ \\ & = (3x^2 + mx +5)(nx^2 - 4x -2) \end{aligned}\)
Because (1, -40) and (-1, 24) are points on the graph of h, we have that h(-1) = 40 and h(-1) = 24. In other words:
\(\displaystyle \begin{aligned} h(1) = -40 & = (3(1)^2 + m(1) +5)(n(1)^2 - 4(1) -2) \\ \\ & = (3 + m +5)(n-4 -2) \\ \\ & = (m+8)(n-6) \\ \\ -40 &= mn-6m+8n-48 \end{aligned}\)
And:
\(\displaystyle \begin{aligned} h(-1) = 24 & = (3(-1)^2 + m(-1) +5)(n(-1)^2 -4(-1) -2) \\ \\ & = (3 - m +5)(n + 4 -2) \\ \\ & = (-m+8)(n+2) \\ \\ 24 & = -mn -2m + 8n +16 \end{aligned}\)
Solve the system of equations. Adding the two equations together yield:
\(\displaystyle -16 = -8m+16n - 32\)
Solve for either m or n:
\(\displaystyle \begin{aligned} -16 & = -8m + 16n - 32 \\ \\ 16 & = -8m + 16n \\ \\ 8m & = 16n - 16 \\ \\ m & = 2n -2\end{aligned}\)
Substitute this into one of the two equations above and solve:
\(\displaystyle \begin{aligned} -40 & = mn - 6m + 8n - 48 \\ \\ 0 & = (2n-2)n -6 (2n-2) + 8n -8 \\ \\ &= (2n^2 - 2n) + (-12n + 12) +8 n - 8 \\ \\ & = 2n^2 -6n + 4 \\ \\ & = n^2 - 3n + 2 \\ \\ &= (n-2)(n-1) \\ \\ & \end{aligned}\)
Therefore:
\(\displaystyle n = 2 \text{ or } n = 1\)
Solve for m:
\(\displaystyle \begin{aligned}m &= 2n-2 & \text{ or } m & = 2n-2 \\ \\ & = 2(2) - 1 &\text{ or } & =2(1) -2 \\ \\ &= 2 &\text{ or } & = 0 \end{aligned}\)
Hence, the values of n and m are either: 2 and 2, respectively; or 1 and 0, respectively.
In conclusion, functions f and g are:
\(\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2\)
pls help
the answer choices for the first one is.. added , subtracted
the second one is.. added , subtracted
the third one is.. added , subtracted
tysm <3 i’ll mark brainliest
2
3250 m + 1,662 km =
Answer:
1,665.25 km
Step-by-step explanation:
HELP THIS IS DUE SOON
Solve the linear equation determine whether it’s one solution or infinite or no solution
2(3+2x) = 10
Answer:
One solution, x=1
Step-by-step explanation:
isolate the variable
Answer:
one solution x=1
Step-by-step explanation:
2(3+2x)=10
6+4x=10
4x=4
x=1
<3
What are the distance between the pair of points E(-5,4) and F(6, 4)
Answer:
The distance is 11 units.
Step-by-step explanation:
First you look at the difference between the x values and then you look at the distance between the y values. Since the x values here are -5, and 6 then you count the distance between -5 and 6. This would be 11 since 6 is 6 units away from 0 and -5 is 5 units away from 0. Since the y values are the same then the distance will just be the distance between the x values.
Lucy is building a fence for her pigpen that that the pigs cannot escape. The area of the rectangular pigpen is 96 sq ft. The length of the pigpen measures 12 ft. What is the width,in feet?
Please help
Hassan jarred 12 liters of jam after 6 days. How many days does Hassan need to
spend making jam if he wants to jar 14 liters of jam in all? Assume the relationship
is directly proportional.
Answer: 7 days
Step-by-step explanation: if he can make 12 liters in 6 days then you can divide 12 by 6 to know he can make 2 liters in 1 day. If he only needs 2 more liters, he only needs one more day and he has already spent 6 days and adding the one extra day, it would be 7 days
how do you write an equation of the line that passes through the point (6,1) and the slope m=-3
Answer:
The equation of the line that passes through the point (6,1) and the slope m=-3 is;
\(y=3x-17\)Explanation:
Given the line with slope;
\(m=3\)And passes through the point;
\((6,1)\)Using the point-slope form of linear equation;
\(y-y_1=m(x-x_1)\)Substituting the values of the slope and the given point;
\(y-1=3(x-6)\)Above is the point-slope form of the equation.
solving further to get the slope-intercept form of the equation we have;
\(\begin{gathered} y-1=3x-18 \\ y=3x-18+1 \\ y=3x-17 \end{gathered}\)Therefore, the equation of the line that passes through the point (6,1) and the slope m=-3 is;
\(y=3x-17\)
The RideEm Bicycles factory can produce 100 bicycles in a day at a total cost of $10,900, and it can produce 120 bicycles in a day at a total cost of $11,700. (a) Find a linear function that models the total cost for RideEm to produce x bicycles.
Answer:
c(x) = 40 (x) + $6,900
Step-by-step explanation:
According to the scenario, given data are as follows,
Total cost of 100 bicycles (x1) = $10,900
Total cost of 120 bicycles (x2) = $11,700
Let Number of bicycles = X
Than cost of X bicycles = c(X)
let, fixed cost be F and variables cost be V, than
c(X) = V(X) + F
So, we can calculate variable cost by using following method,
V = c(x2) - c(x1) ÷ ( x2 - x1)
= ( $11,700 - $10,900) ÷ ( 120 - 100)
= $800 ÷ 20
= $40
So, calculate fixed cast by putting value to equation,
$10,900 = ($40 ×100) + F
F = $10,900 - $4,000 = $6,900
So, For x number of bicycles, cost equation will be,
c(x) = 40 (x) + $6,900
What is the area, in square units, of the figure shown?
To determine the area of the figure, let's count first how many units its base and height are.
Counting the units, the base of the figure is 20 units while the height is 10 units.
To solve the area of the figure (parallelogram) above, the formula is:
\(A=\text{base}\times height\)Hence, the area of the parallelogram is:
\(\begin{gathered} A=20\text{units}\times10\text{ units} \\ A=200sq.\text{units} \end{gathered}\)The area is 200 square units.