A. The amount invested is given as follows: $252.
B. The amount being put in is given as follows: $105.
How to obtain the amounts?The amounts are obtained applying the proportions in the context of the problem.
For item a, the amount is of 12% of 2100, hence it is given as follows:
0.12 x 2100 = $252.
For item b, the amount is half of 10% of 2100, hence it is given as follows:
0.5 x 0.1 x 2100 = $105.
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themba has 6.75 cups of yogurt and needs to make 5 bowls of fruit dip. each bowl uses 1.5 cups of yogurt
complete the statements about the fruit dip
Answer: Themba needs a total of 7.5 cups of yogurt to make 5 bowls of fruit dip, so 0.75 cup(s) will be needed
Step-by-step explanation:
your welcome.
What is the relation between the variables in the equation
varies inversely as y
varies directly as y
a.
b.
Please select the best answer from the choices provided
OA
* B
OC
OD
y
-7?
c. y varies directly as ¹
y varies inversely as ¹
d.
The best answer to the given question is B.
When a variable "varies inversely as y," it means that as y increases, the variable decreases, and vice versa. This relationship is expressed mathematically as:
variable = k/y
where k is a constant.
When a variable "varies directly as y," it means that as y increases, the variable also increases, and vice versa. This relationship is expressed mathematically as:
variable = k*y
where k is a constant.
Option (a) does not provide any information about the relationship between variables. Option (c) and (d) provide incomplete information as they do not specify the variable that varies with y. Option (b) correctly explains the two types of relationships between variables and their mathematical expressions.
Option B is the best answer.
which is greater 0.04 or 5
Answer:
Step-by-step explanation:
5 is greater than 0.004
Answer: 5 is greater
Step-by-step explanation:
One man fits the parts together, so that the bolt holes come
right. The next man fits the bolt holes into place. The next
has a pan of nuts before him and all day he scoops them up
and with his fingers starts them on the thread of the bolts.
The next man has a wrench and he gives the final twist that
makes them tight.
-John A. Fitch, 1914
This excerpt describes a work process established by Henry Ford. Which results did
Ford help to achieve by implementing the process described in this excerpt?
Based on this excerpt, the results that Ford helped achieve by implementing the described process was the development of an assembly line, capable of increasing productivity and production efficiency.
What are Ford's contributions to the administration?He was the founder of the Ford Company and the theory of Fordism, which consists of mass production, reducing costs, increasing efficiency through specialization of work.
Therefore, as we see in the excerpt, mass production generated the greatest speed and precision in each step of the work, increasing productivity and reducing losses and costs associated with production.
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You invest a lump sum of $1,500 into a bank account that offers 7.75%
simple interest.
1) How much interest is earned each year? $
2) How much money will be in the account after 20 years? $
1. intrest earned per year $116.25
2. total after 20 years $3,825
116x20= $2325
$1500+ 2325=3825
the Clarks bought a 242000 condominium. They made a down payment of 45000 and took out a mortgage for the rest. Over the course of 30 years they made monthly payments of 1175.13 on their mortgage until it was paid off. branly
The total cost paid on the condominium is $468,046.80.
What was the total cost of the condominium?The total cost means total expenditure incurred to produce some type of output. The total cost is calculated as follows:
The total number of monthly payments is:
= 30 years x 12 months/year
= 360 months
The total amount paid towards mortgage is:
= 360 x $1175.13
= $423,046.80
The total cost of the condominium will be:
= Down payment + Total amount paid towards mortgage
= $45,000 + $423,046.80
= $468,046.80.
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A company sampled two groups of students and asked them "How many books did you read this month?" The table shows the data they collected. Select all of the true statements about the samples.
The true statements about the samples:
Both groups have the same median (4).
Group A has a lower mean than Group B (4 vs 4.25).
Both groups have multiple modes.
The range of values in Group B is greater than in Group A.
How to solveFor Group A, the average number is 4 with a range of numbers from 2 to 6. The middle value, also known as the median, is 4.
Using this information, we find that values 3, 4, and 5 occur twice each within the dataset.
For Group B, the mean, or average, number is found to be 4.25 among eight total entries ranging from a low of 1 to a high of 7.
Calculating for the middle value, which is defined as the median, it can be seen that the resulting output is again equivalent to 4. Of all data inputs, the two top-occurring amounts are 4 and 5, both appearing twice in the listing.
Here are the true statements about the samples:
Both groups have the same median (4).
Group A has a lower mean than Group B (4 vs 4.25).
Both groups have multiple modes.
The range of values in Group B is greater than in Group A.
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A company sampled two groups of students and asked them "How many books did you read this month?" The table shows the data they collected:
Group A: [3, 4, 5, 2, 5, 6, 3, 4]
Group B: [1, 6, 4, 5, 2, 5, 4, 7]
can someone please help me what is 11 1/8 + 2 3/4??? please
Answer: 13 7/8
Step-by-step explanation:
11 + 1/8 + 3/4 + 2 = 13 7/8
please help me do this i need it so bad
Car Make and Model that i choose is Toyota RAV4
The Cost of this car as of today is about $27,000
What is the Exponential about?To know the value of car after one year will be:
20% of $27,000
= $5,400.
So the car value will be:
$27,000 - $5,400
= $21,600 after year 1
3. Value of car after second year of ownership:
15% of $27,000
= $4,050.
So, the car value will be:
$21,600 - $4,050
= $17,550 after year 2.
4 The Exponential Function if the car continues to decrease in value by 15% each year will be;
V(x) = 27,000 x (0.85)ˣ
V(5) = 27,000 x (0.85)⁵
= 27,000 x 0.44370
= $11979.9
Therefore, the value of the car after owning it for five years is $11979.9
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See text below
Car Value: Exponential
1. Pick a car that you would be interested in buying someday. Research the cost of buying this car.
Car Make and Model:
Cost of this car as of today:
2. Cars depreciate in value over time, which means they lose a certain percent of their value each year. A car typically decreases in value by 20% within the first year. If the car you picked above decreased in value by 20% in its first year, how much will it be worth one year after owning it?
Value of car after one year:
3. Each year after the first year, a car typically decreases around 15% in value. How much will your car be worth after owning it for 2 years?
Value of car after second year of ownership:
4. If your car continues to decrease in value by 15% each year, write the equation of the exponential function that models its value x years after you purchased it.
Exponential Function:
Use your exponential function to calculate the predicted value of your car after you own it for five years.
Value after five years of ownership:
The vector (6,-5) is reflected across the line y=x, and the resulting matrix is dilated by a scale of -1.5
(7.5, -9) is the final value after reflection and dilation.
To reflect a vector across the line y=x, we switch the x and y coordinates. Therefore, the reflection of (6,-5) across the line y=x is (-5,6).
To dilate a vector by a scale of -1.5, we multiply the vector by -1.5. Therefore, the resulting vector is (-5,6) multiplied by -1.5, which gives us:
(-5,6) * (-1.5) = (7.5, -9)
So the final result after the reflection and dilation is (7.5, -9).
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CAN SOMEONE HELP WITH THIS QUESTION?
If company's marginal cost function is c(x)= 14 / √x, the total cost of producing the first 25 units is $10.67.
The marginal cost function is given as c(x) = 14 / √x, where x is the number of units produced.
To find the total cost of producing the first 25 units, we need to integrate the marginal cost function from x=0 to x=25, as follows:
Total cost = ∫₀²⁵ 14 / √x dx
We can use integration by substitution to solve this integral. Let u = √x, then du/dx = 1/(2√x), and dx = 2u du. Substituting these into the integral, we get:
Total cost = ∫₀⁵ √14/u du
This can be integrated using the power rule of integration. We have:
Total cost = 2√14 [[tex]u^{(3/2)[/tex]/3]₀⁵
Substituting back u = √x, we get:
Total cost = 2√14 [[tex](\sqrt{x})^{(3/2)[/tex]/3]₀²⁵
= 2√14 [[tex](\sqrt{25})^{(3/2)[/tex]/3 - [tex](\sqrt{0})^{(3/2)[/tex]/3]
= 2√14 (5/3)
= 10.67
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((46 – 15) × 32) + 5 =
Answer:
=997
Step-by-step explanation:
46-15=31
31×32=992
992+5=997
Answer: 997
Step-by-step explanation:
A student shapes a piece of clay into a small cube. The students places the clay at the bottom of the ramp in Setup 2. The student rolls the 1-kilogram ball down the ramp and observes the collision between the ball and the clay cube.
Answer: Reduce the height of the ramp from 1 meter to 0.5 meters
Step-by-step explanation:
7 root 98 + 3 root 242 divided by 6 root 50
The expression (7√98 + 3√242) divided by 6√50 simplifies to the fraction of 4/3.
To simplify the expression (7√98 + 3√242) ÷ 6√50, we need to rationalize the denominator. This means we need to simplify the expression in such a way that there are no radical signs in the denominator. To do this, we can use the fact that the product of a radical and its conjugate is a rational number.
First, let's simplify the terms under the radicals by factoring out the perfect squares:
√98 = √(49*2) = 7√2
√242 = √(121*2) = 11√2
Now the expression becomes:
(7√2 + 311√2) ÷ (6√(252))
= (7√2 + 33√2) ÷ (6*5√2)
= 40√2 ÷ 30√2
= 4/3
In conclusion, to simplify expressions involving radicals, we need to factor out perfect squares and use the property of the conjugate to rationalize the denominator.
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HELP PLEASEEE!
Whoever answers first will get brainliest
Answer:
y = 1
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
then
y = | 3 - x | ← substitute x = 4
y = | 3 - 4 | = | - 1 | = | 1 | = 1
Use a net to find the surface area of the prism.
A. 426m2
B. 213m2
C. 306m2
D. 336m2
The surface area of the rectangular prism in this problem is given as follows:
A. 426 m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.
The dimensions for this problem are given as follows:
5 m, 12 m and 9 m.
Hence the surface area of the prism is given as follows:
S = 2(5 x 12 + 5 x 9 + 12 x 9)
S = 426 m².
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Find the area of the figure. Round to the nearest Hundredth if necessary.
18 ft
33 ft
25 ft
Answer:522
Step-by-step explanation:
cut the shape on top to make a triangle and rectangle so then it would be 25x18=450 then for the triangle it would be 18x8=72 450+72=522
Working her way through school, Kathy works two part-time jobs for a total of 28 hours a week. Job A pays $6.10 per hour, and Job B pays $6.80 per hour. How many hours did she work at each job the week that she made $184.10? (Round to two decimal places if necessary.)
Kathy worked 9.14 hours for Job A and 18.86 hours for job B to make 186.10
How to find how long she workedAssuming hours of work for job A is x while that of job B is y
According to the given information, Kathy works a total of 28 hours per week
x + y = 28
Job A pays $6.10 per hour, and Job B pays $6.80 per hour, to make $184.10, we have the equation below
6.10x + 6.80y = 184
x + y = 28
6.10x + 6.80y = 184
solving simultaneously using calculator
x = job A = 9.143 = 9.14 (to 2 decimal places)
y = job B = 18.857 = 18.86 to 2 decimal places))
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Michel-Eugène Chevreul found that the greatest intensity came from placing ________colors next to each other.
tertirary
analogous
complementary
arbitrary
Answer:
C. complementary
Michel-Eugène Chevreul discovered that placing complementary colors next to each other can create the greatest contrast and vibrancy in color perception. This is because complementary colors are located opposite each other on the color wheel and, when placed side by side, they enhance each other and create a strong visual impact. For example, placing yellow next to violet or blue next to orange can create a dynamic and eye-catching effect. In contrast, placing tertiary colors (colors made by mixing primary and secondary colors) or arbitrary colors next to each other may not create as much contrast or visual interest. Overall, understanding color theory and the relationships between different colors can be helpful for creating visually appealing designs, artworks, or other color-based projects.
Yui is buying beverages for her friends. She buys a total of 6 bottles of water and sports drinks. Bottles of water cost $1.50 each, and sports drinks cost $2.50 each, she spends a total of $10. Write a system of equations to represent the information, and use substitution to determine how many of each type of drink yui buys
Answer:
Let x be the number of bottles of water that Yui buys, and let y be the number of sports drinks she buys.
Since Yui buys a total of 6 bottles of water and sports drinks, we know that:
x + y = 6
We also know that each bottle of water costs $1.50 and each sports drink costs $2.50, and that Yui spends a total of $10. Therefore, we can write another equation based on the total cost:
1.5x + 2.5y = 10
We now have a system of two equations with two variables:
x + y = 6
1.5x + 2.5y = 10
To solve for x and y, we can use substitution. Rearranging the first equation, we get:
x = 6 - y
Substituting this expression for x into the second equation, we get:
1.5(6 - y) + 2.5y = 10
Expanding and simplifying, we get:
9 - 1.5y + 2.5y = 10
Combining like terms, we get:
y = 2
Substituting this value of y back into the equation x + y = 6, we get:
x + 2 = 6
Solving for x, we get:
x = 4
Therefore, Yui buys 4 bottles of water and 2 sports drinks.
The students at Kayla's school are forming teams of three students for a quiz bowl competition. Kayla is assuming that each member of a team is equally likely to be male or female. She uses a coin toss (heads = female, tails = male) to simulate this probability. Here is Kayla's data from 50 trials of 3 coin tosses:
thh tth tth tht thh htt hth hht hth tth tth hht hth tht tht tth tth thh thh htt tht thh tth hht hth thh tht tth hht thh hhh tth tth hth htt tht thh hhh htt thh htt ttt tht ttt thh hht hth htt hht hth
According to this data, what is the experimental probability that a team will consist of two girls and a boy?
0.33
0.375
0.23
0.46
The required, experimental probability that a team will consist of two girls and a boy is 0.33. Option A is correct.
To find the experimental probability that a team will consist of two girls and a boy, we need to count the number of times that Kayla got a team with two girls and one boy and divide that by the total number of trials.
So, out of 50 trials, there were 17 trials where the team had two girls and one boy. Therefore, the experimental probability is:
17/50 = 0.34
Therefore, it is 0.34, which is closest to option (A) 0.33.
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question in the picture
1) Brianna's average monthly income is $1,850.
2) Brianna's average monthly expenses are $3,135.
3) Brianna's total monthly cash flow is -$1,295.
What is the cash flow?The cash flow refers to the cash inflows and cash outflows.
Cash inflows are incomes while cash outflows are expenses.
Brianna's Monthly Budget:Monthly Rent = $700
Gas = $120
Car Insurance = $75
Health Insurance = $140
Renter's Insurance = $25
Cell phone = $110
Utilities = $100
Groceries = $300
Entertainment/eating out = $250
Total monthly expenses = $1,820
= $21,840 ($1,820 x 12)
Annual Expenses:College = $12,000
Gifts = $1,000
Vacations = $1,500
Clothes = $800
Charity =$600
Total monthly expenses = $21,840
Total annual expenses = $37,740
Average monthly expenses = $3,135 ($37,740 ÷ 12)
Monthly Income = $1,600
Yearly Income = $ 19,200 ($1,600 x 12)
Annual Scholarship = $3,000
Total annual income = $22,200
Average monthly income = $1,850 ($22,200 ÷ 12)
Cash Flows:Average monthly income = $1,850
Average monthly expenses = $3,135
Cash flows = -$1,295 ($1,850 - $3,135)
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Need the right answers please
The measure of the angle of the triangle ∠BCD = 13°
Given data ,
Let the triangle be represented as ΔBCD
Now , in triangle BCD, we are given the following angle measurements:
angle CDE = (9x - 12)°
angle BCD = (2x + 3)°
angle DBC = (3x + 5)°
From the exterior angle theorem , we get
∠CDE = ∠BCD + ∠DBC
On simplifying , we get
9x - 12 = 2x + 3 + 3x + 5
9x - 12 = 5x + 8
Subtracting 5x on both sides and adding 12 , we get
4x = 20
Divide by 4 on both sides , we get
x = 5
So , the measure of angle ∠BCD = 2(5) + 3
m∠BCD = 13°
Hence , the angle is m∠BCD = 13°
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The complete question is attached below :
In triangle BCD , BD is extended through point D to point E , ∠CDE = ( 9x - 12 )° , ∠BCD = ( 2x + 3 )°, and ∠DBC = ( 3x + 5 )°, find ∠BCD
Select the correct answer.
Which number has a repeating decimal form?
A. 15
B. 11/25
C.3/20
D.2/6
Answer:
2/6
Step-by-step explanation:
15 isn't a decimal number
11/25=0.44 not recurring (not repeating)
3/20=0.15 not recurring (not repeating)
2/6=0.333333 recurring
so the answer is D
Julio's Bikes rents bikes for $10 plus $8 per hour. Willie paid $34 to rent a bike. For how many hours did he rent the bike?
Answer:
He rented the bike for 3 hours
Step-by-step explanation:
they charge $10 for just the bike and an adittional of $8 per hour and Willie payed $34 so u subtract 10 from 34 it leaves u with 24 and u then divide by 8 and u get 3 which means that he rented the bike for 3 hours :)
Which graph represents the function f(x) = -2sin(x) +37
The graph that represents the function f(x) = -2sin(x) +37 is graph D
How to explain the graphThe graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.
In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).
In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D
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12 cm
He
4 cm 3 cm 5 cm
3 cm 5 cm
4 cm
4 cm
3 cm
What is the surface area of the solid?
A. 81 square centimeters
B. 192 square centimeters
C. 156 square centimeters
OD. 168 square centimeters
12 cm
Answer:
2(1/2)(3)(4) + 12(3) + 12(4) + 12(5)
= 12 + 36 + 48 + 60 = 156 cm^2
C is the correct answer.
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
A) 85π in
B)100π in
C)120π in
D)225π in
The surface area of the right cylindrical oil can is 120π in² and the right option is C) 120π in².
What is surface area?
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
To calculate the surface area of the right cylindrical oil can, we us the formula below
Formula:
S.A = 2πr(r+h)...................Equation 1Where:
r = Radius of the baseh = Height of the cylinderS.A = Surface area of the cylinderFrom the question,
Given:
r = 4 inchesh = 11 inchesSubstitute these values into equation 1
S.A = 2×4×π(11+4)S.A = 120π squared in.Hence, the right option is C) 120π in².
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Compute (a) x₁ and (b) 2 for the iterative process defined by n+1 = 4x (3-xn) with x = 5.
(a) x₁ =???
Using the defined iterative process, xₙ ₊ ₁ = 4xₙ(3 - xₙ) with x₀ = 5,
The value of x₁ is -40
The value of x₂ is -6880
Computing the value of x₁ and x₂ from an iterative processFrom the question, we are to compute the values of x₁ and x₂ from the given iterative process
The definition of the iterative process is:
xₙ ₊ ₁ = 4xₙ(3 - xₙ)
From the given information,
x₀ = 5
To determine the value of x₁, we will substitute n = 0
xₙ ₊ ₁ = 4xₙ(3 - xₙ)
x₀ ₊ ₁ = 4x₀(3 - x₀)
x₁ = 4x₀(3 - x₀)
Substitute x₀ = 5
x₁ = 4(5)(3 - 5)
x₁ = 20(-2)
x₁ = -40
To determine the value of x₂, we will substitute n = 1
xₙ ₊ ₁ = 4xₙ(3 - xₙ)
x₁ ₊ ₁ = 4x₁(3 - x₁)
x₂ = 4x₁(3 - x₁)
Substitute x₁ = -40
x₂ = 4(-40)(3 - (-40))
x₂ = -160(43)
x₂ = -6880
Hence,
The value of x₁ is -40
The value of x₂ is -6880
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Given ƒ(x) = −3x², find ƒ(−10)
Answer:
-300
Step-by-step explanation:
You want the value of f(-10) given that f(x) = -3x².
EvaluationPut the value where the variable is and do the arithmetic.
f(-10) = -3(-10)² = -3(100) = -300
The value of f(-10) is -300.
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