Answer:
Yes, the manager should make changes to the current display. There should be 36 large water bottles and 36 small water bottles, which would be a 3:2 ratio. To achieve this, the manager should add 12 more large water bottles to the display.
D
L
F
DM = 8
M
K
FM = 2x
E
EM = 6
Answer: yes correct i love math
Step-by-step explanation:
i dont get it help me
Answer:
y=2x+10
Explanation: They start with paying $10 and have to pay and extra $2 for each time at the concession stand.
14 yd
21 yd find the area of the triangle
Answer:
147
Step-by-step explanation:
A= h^b b=21*14= 147
Write a paragraph proof of the Quadrilateral Sum Theorem.
Given: Quadrilateral ABCD
Prove: m
Step-by-step explanation:
Quadrilateral Sum Theorem. The total sum of the interior angles of a quadrilateral is 360°. A quadrilateral is formed by joining four non-collinear points. A quadrilateral has four sides, four vertices and four angles. Therefore, that is the Quadrilateral Sum Theorem.
Represent the following sentence as an algebraic
expression, where "a number" is the letter x. You
do not need to simplify.
9 less than six times a number.
Algebraic expressions are useful for solving different and complex equations in mathematics, as well as for modelling real-life situations such as revenue, cost, inference, etc
The algebraic expression is: [tex]6x - 9[/tex].
What is the use of algebraic expression?To represent the sentence as an algebraic expression, we can follow these steps: Identify the variable. In this case, “a number” is x. Identify the operation. In this case, “less than” means subtraction and “times” means multiplication.
An algebraic expression is an expression that contains variables, constants and mathematical operations. Algebraic expressions are useful because they can help us solve different and complex equations.
For example, if you want to calculate the area of a rectangle with length x and width y, you can use the algebraic expression xy to represent the area.
Write the expression using the order of operations. In this case, we need to multiply six by x first, then subtract nine from the result.
Therefore, The algebraic expression is: [tex]6x - 9[/tex]
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A family with a spending budget of $22,300 receives an increase in wages of 3% in a year in which inflation was 5.6%. Find the net gain or loss in their purchasing power
The family actually lost purchasing power due to the combination of the wage increase and inflation, as their budget did not keep pace with rising prices.
To find the net gain or loss in the family's purchasing powerWe need to calculate the inflation-adjusted increase in their wages.
First, we can find the amount of the wage increase by multiplying the original budget by the percentage increase:
Wage increase = $22,300 x 0.03 = $669
Next, we need to adjust for inflation. We can do this by finding the inflation rate as a decimal (5.6% = 0.056) and subtracting it from 1 to get the inflation-adjustment factor:
Inflation-adjustment factor = 1 - 0.056 = 0.944
Finally, we can calculate the inflation-adjusted wage increase by multiplying the wage increase by the inflation-adjustment factor:
Inflation-adjusted wage increase = $669 x 0.944 = $631.08
Therefore, the family's net gain in purchasing power is:
Net gain = Inflation-adjusted wage increase - Original budget
Net gain = $631.08 - $22,300
Net gain = -$21,668.92
So the family actually lost purchasing power due to the combination of the wage increase and inflation, as their budget did not keep pace with rising prices.
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1. You purchase a car using a $12,500 loan with a 5.6% simple interest rate.
(a) Suppose you pay the loan off after 6 years. How much interest do you pay on your loan? Show your work.
(a) Suppose you pay the loan off after 3 years. How much interest do you save by paying the loan off sooner? Show your work.
The interest that is paid on the loan in 6 years will be $4,200.
The amount of interest that is saved is $2,100.
What is the interest on the loan?The simple interest is a linear function of the number of years of the loan, value of the loan and the duration of the loan. The higher either of these values are, the higher the simple interest.
Simple interest = loan x time x interest rate
Simple interest if the loan is paid off after 6 years: $12,500 x 6 x 0.056 = $4,200
Simple interest if the loan is paid off after 3 years: $12,500 x 3 x 0.056 = $2100
Interest saved = $4200 - $2100 = 2100
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The slope of a line is undefined, and the x-intercept is -7. What is the equation of the line?
Oy=-7
Ox=-7
Oy=-7x
Answer:
"Undefined slope"
Step-by-step explanation:
The line is vertical on the graph.
Every point on the line has the same x-coordinate.
If the line crosses the x-axis where x=-7, then the
x-coordinate of every point on the line is -7, and the
equation of the line is
x = -7 .
I need this work sheet done in 10 minutes or less!!
Answer:
3. 216 cm^3
4a. A = 5 ft, B = 4 ft.
4b. 88 ft^3
Step-by-step explanation:
3. Separate into two rectangular prisms:
Volume of first one: 4cm*2cm*3cm = 24cm^3
Volume of second one: 4cm*12cm*4cm = 192cm^3
Add them together: 24 + 192 = 216cm^3
4a.
Length A = 8-3 = 5ft.
Width B = 8-4 = 4ft.
4b. Separate into two rectangular prisms:
Volume of first one: 2ft*3ft*4ft = 24ft^3
Volume of second one: 8ft*4ft*2ft = 64ft^3
Add them together: 24 + 64 = 88ft^3
Which would prove that AMNO ~ AQRS? Select all that apply. QUESTION 5
To determine which of these methods apply, you'll need to analyze the given information about angles and side lengths in triangles AMNO and AQRS.
To prove that triangles AMNO and AQRS are similar (~), we need to show that their corresponding angles are congruent, and their corresponding sides are proportional. Here are some methods to do that:
1. Angle-Angle (AA) similarity: If two pairs of corresponding angles in triangles AMNO and AQRS are congruent, then the triangles are similar.
2. Side-Angle-Side (SAS) similarity: If two pairs of corresponding sides in triangles AMNO and AQRS are proportional, and the included angles between these sides are congruent, then the triangles are similar.
3. Side-Side-Side (SSS) similarity: If all three pairs of corresponding sides in triangles AMNO and AQRS are proportional, then the triangles are similar.
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which is more 7,000 millimeters or 7 liters?
eight times the product of 4 and a number in an algebraic expression, then simplify the expression.
Find what percentage of $6500 is $4250
Step-by-step explanation:
To find the percentage that $4250 represents of $6500, we can use the following formula:
percentage = (part / whole) x 100%
where "part" is $4250 and "whole" is $6500.
Substituting these values into the formula, we get:
percentage = (4250 / 6500) x 100%
percentage = 0.6538 x 100%
percentage = 65.38%
Therefore, $4250 represents 65.38% of $6500.
Answer: It is approximately 65%
Step-by-step explanation: Divide $4,250 by $6,500 and your answer without rounding is 65.3846%
In ΔIJK, i = 100 inches, mm∠I=115° and mm∠J=23°. Find the length of j, to the nearest inch.
The measure of the side J of the triangle ΔIJK will be 43 units.
What is the law of sine?The law of sines defines the ratio of triangle sides, and their respective sine angles are equivalent. The law of sines is also known as the sine law, sine rule, and sine formula.
Given that in the triangle i = 100 inches, m∠I=115° and m∠J=23°. The measure of the length J will be calculated as:-
100 / sin115 = J / sin23
J = (100) x sin23 / sin115
J = 100 x 0.43
J = 43 units
The length of side J will be 43 units.
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Talitha will sell her bicycle shop to you for R250 000, with seller financing at a 6% nominal annual rate. The terms of the loan will require you to make 12 equal end-of-month payments per year for four years, and then make an additional final (balloon) payment of R50 000 at the end of the last month. What will your equal monthly payments be?
Answer:
Step-by-step explanation:
To calculate the equal monthly payments under this loan, we can use the formula for the present value of an annuity due, since the payments are due at the end of each period. The present value of the equal monthly payments can then be set equal to the loan amount of R250,000, and we can solve for the payment amount.
First, we need to calculate the present value factor for an annuity due with 12 payments per year over a four-year period, using a nominal annual rate of 6%.
PVIFA(due) = (1 - (1 + r/n)^(-nt))/((r/n)(1 + r/n))
Where:
r = nominal annual rate = 6%
n = number of compounding periods per year = 12
t = number of years = 4
PVIFA(due) = (1 - (1 + 0.06/12)^(-12*4))/((0.06/12)(1 + 0.06/12)) = 43.232
Next, we can use the formula for the present value of an annuity due to calculate the equal monthly payments:
PMT = PV / PVIFA(due)
Where:
PV = present value of the loan = R250,000
PMT = 250000 / 43.232 = R5,785.97
Therefore, your equal monthly payments will be R5,785.97. At the end of the four-year period, you will also need to make a final balloon payment of R50,000 to fully pay off the loan.
Scott took out a 72 month
loan for $35,000 to purchase
a new boat. If Scott paid
$8,925 in simple interest,
what was the interest rate?
The interest rate paid by Scott is 4.25% for the 72 months.
We can determine the simple interest of the given problem by the simple interest formula which is given as :
I=PRT
Where,
I=Interest
P=principal
R=rate in decimal
T=time in years
Converting the given 72 months into years we get time t :
1 year = 12months
72 months / 12months = 6 years
t=6
From the given data
I=8925
P=35000
R=r
T=6
Substituting the above values in the simple interest equation we get:
8925 = 35000*r*6
8925 = 210000*r
divide both sides by 210000
R = 0.0425
Therefore, the interest rate is 4.25%
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A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.
If they offer a 2 year extended warranty for $22, what is the company's expected value of each warranty sold?
$
Therefore , the solution of the given problem of percentage comes out to be the firm expects that each warranty it sells will be worth $1.41.
What is percentage?In statistics, "a%" is used to refer to a figure or number that is expressed as a percentage of 100. Additionally rare are the forms that "pct," "pct," or "pc". It is typically represented by the symbol "%," though. Additionally, there are not any indicators and the proportion of each item to the overall amount is flat. Since percentages typically add up to 100, they are essentially integers. Either the expression "fraction" or the symbol for percentage (%) .
Here,
The price to substitute each item is $200. The anticipated price for each component is thus:
Expected cost per product equals Replacement cost x Failure Probability
=> Cost per product anticipated = 0.008 x $200
=> Expected price per item is $1.60.
So, the following is the anticipated value of each warranty sold:
Expected worth of the warranty = Failure rate x (Replacement cost - Cost of warranty)
=> Expected guarantee value = 0.008 * ($200 - $22 - $1.60).
=> Expected guarantee value = 0.008 * $176.40
=> Expected warranty worth is $1.41
As a result, the firm expects that each warranty it sells will be worth $1.41.
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Can someone help me, please?
BEAINEST IF CORRECT
if x= 60 would they be similar or not? explain ur answer.
Answer: no they wouldn't be similar
Step-by-step explanation: if x=60 if triangle 1 then the third angle would be (180-(58+60)) =180-118=62
if we decide to calculate the third angle in triangle 2 we will have 180-(50+58) = 180-108=72
therefore not all angles in 1 are similar to angles in 2 so the triangles aren't similar
Please helpppp it’s urgent!!! Assume you have a balance of $3000 on a credit card with an APR of 24 %, or 2 % per month. You start making monthly payments of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on the balance for the previous month. How long does it take to pay off the credit card debt? Round your numbers to the nearest cent?
It will take around 3.72 months to pay off the credit card debt.
Explain about the annual percentage rate APR?The annual rate of interest that a person must pay on a loan or receives on a bank account is known as the annual percentage rate (APR).APR is utilized for everything, including credit cards, auto loans, and mortgages.The formula for APR is:
A = P * [tex](1 + r/n)^{nt}[/tex]
In which,
A = amount after compounding.
P = balance amount
r = rate of interest.
n = number of time compounded.
Initial balance: $30,000.
Payments per month = $200.
Expenses = $100
Balance amount = 30,000 - 12 *(200 - 100)
Balance amount = $28800
So, time taken for paying off credit card debt.
30,000 = 28800 [tex](1 + 0.24/1)^{1*t}[/tex]
[tex](1.24)^{t}[/tex] = 30,000 / 28800
[tex](1.24)^{t}[/tex] = 1.04
Solve by using logarithmic function.
t = ln (1.04) / 1.24
t = 0.31 year
t = 3.72 months
Thus, it will take around 3.72 months to pay off the credit card debt.
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Find the probability of rolling an even number on a single die
The probability of rolling an even number on a single die is 1/2, or 50%. This can be calculated by considering the possible outcomes of rolling the die.
There are six possible outcomes, and three of these are even numbers (2, 4, and 6). Therefore, there is a 3/6, or 1/2, chance of rolling an even number. In terms of probability, this can be expressed as a fraction, percentage, or decimal. As a fraction, the probability of rolling an even number on a single die is 3/6, or 1/2. As a percentage, the probability of rolling an even number on a single die is 50%. As a decimal, the probability of rolling an even number on a single die is 0.5. No matter how it is expressed, the probability of rolling an even number on a single die is 1/2, or 50%. This can be easily remembered by considering that there are six possible outcomes, and three of them are even numbers.
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15 points! please help me out!
Answer: 260 ft^2
Step-by-step explanation:
Find the area of the triangle: 0.5*height*base = 0.5*10*20 = 100 ft^2
Find the area of the rectangle: 20*8 = 160 ft^2
Add them together: 160+100 = 260 ft^2
Hodgman Honest is evaluating a new project for her firm, Basket Wonders (BW). She has determined that the after-tax cash flows for the project will be $10,000; $12,000; $15,000; $10,000; and $7,000, respectively, for each of the Years I through 5. The initial cash outlay will be $40.000. For this project, assume that it is independent of any other potential projects that Basket Wonders may undertake. The management of Basket Wonders has set a maximum PBP of 3.5 years for projects of this type. Required: Evaluate this project using payback period technique and advise the management accordingly.
Answer:
To calculate the payback period (PBP) for this project, we need to determine how long it will take for the initial cash outlay of $40,000 to be recovered from the after-tax cash flows.
Year 1 cash flow = $10,000
Year 2 cash flow = $12,000
Year 3 cash flow = $15,000
Year 4 cash flow = $10,000
Year 5 cash flow = $7,000
Total cash inflows for year 1 and year 2 = $10,000 + $12,000 = $22,000
Total cash inflows for year 3 = $15,000
Total cash inflows for year 4 = $10,000
Total cash inflows for year 5 = $7,000
Cumulative cash inflows for year 1 and year 2 = $22,000
Cumulative cash inflows for year 3 = $37,000
Cumulative cash inflows for year 4 = $47,000
Cumulative cash inflows for year 5 = $54,000
It can be seen that the cumulative cash inflows reach the initial cash outlay of $40,000 after year 2, and therefore the payback period for this project is 2 years. Since the payback period is less than the maximum PBP of 3.5 years set by management, this project can be considered acceptable.
So, Hodgman Honest should recommend that Basket Wonders should accept this project as it has a payback period of only 2 years, which is less than the maximum PBP of 3.5 years set by management.
The blueprint of a pool has 2inches that equals 7 feet, what is it
Part A: The actual dimensions of the pool are 10 feet long and 5 feet wide.
Part B: the cost of the cover for the pool would be $15.00.
What is dimension?Dimension is a measure of a physical property of an object, such as its length, breadth, height, or mass.
Part A: The actual dimensions of the pool can be determined by using the given scale. To do this, we need to convert the given measurements in inches to feet. We can do this by dividing the given measurements in inches by the scale, which is 2 inches equals 7 feet.
The actual length of the pool is 20 ÷ 2 = 10 feet.
The actual width of the pool is 10 ÷ 2 = 5 feet.
Therefore, the actual dimensions of the pool are 10 feet long and 5 feet wide.
Part B: To calculate how much it would cost to buy a cover for the pool, we need to determine the area of the pool. We can do this by multiplying the length by the width of the pool.
Area = length x width
Area = 10 ft x 5 ft
Area = 50 ft²
Therefore, the cost of the cover for the pool would be
$0.30 x 50 ft² = $15.00.
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Question :
The blueprint of a pool has a scale of 2 inches equals 7 feet. The scale drawing is shown below. the length is 20 and the width is 10
Part A What are the actual dimensions of the pool? Blueprint: 10 in. Actual: ft Blueprint: 20 in. Actual: ft
Part B How much would it cost to buy a cover for the pool that costs $0.30 per square foot?
12000 x 5 = 9500 + 9500 + 10000 + x + y
Answer:
31000 - y = x
Step-by-step explanation:
Solve for x
[tex]12000\times5=9500+9500+10000+x+y[/tex]
Add and multiply the integers
[tex]60000=29000+x+y[/tex]
Subtract 29000 on both sides
[tex]31000=x+y[/tex]
Subtract y on both sides
[tex]31000-y=x[/tex]
HELLLP FAST
Mathamatics
Answer:
512 ft and 1,232 ft
Step-by-step explanation:
area is length x width
the pool's area can be calculated doing 32ft x 16ft
the area of the pool is 512 ft
the deck's area can be calculated doing 28ft x 44ft
the area of the deck is 1,232 ft
you're welcome<3
A brick of mass 2 kg falls through water with an acceleration of 2 ms 2. The total force of the resistance is N.
The calculated value of the force of the resistance is 15.62 N
Calculate the force of the resistanceWe can use Newton's Second Law of Motion to solve this problem. The formula is:
F = m*a
where F is the net force, m is the mass of the object, and a is the acceleration.
In this case, the brick is falling through water, so there are two forces acting on it:
gravity (pulling it down) water resistance (slowing it down).The net force is the difference between these two forces:
F_net = F_gravity - F_resistance
The weight of the object is:
F_gravity = m*g
So, we have
F_gravity = 2 kg * 9.81 m/s^2 = 19.62 N
Now we can use the formula for net force to find the force of water resistance:
F_net = F_gravity - F_resistance
F_resistance = F_gravity - F_net
F_resistance = 19.62 N - m*a
This gives
F_resistance = 19.62 N - 2 kg * 2 m/s^2 = 15.62 N
Therefore, the force of water resistance is 15.62 N.
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A circle is shown. Points X and Z are on one side of the circle, and point Y is on the other. Lines are drawn from point Y to point X and from point Y to point Z to form angle X Y Z. Arc X Z is 86 degrees.
What is the measure of ∠Y?
43°
68°
86°
172°
The measure οf ∠Y is 51 degrees.
What is Inscribed AngIe?An inscribed angIe in a circIe is an angIe fοrmed by twο chοrds in the circIe that have a cοmmοn endpοint, with the vertex οf the angIe οn the circIe. The measure οf the inscribed angIe is haIf the measure οf the intercepted arc that Iies inside the angIe.
The measure οf ∠Y can be determined using the prοperty that an inscribed angIe in a circIe is haIf the measure οf the intercepted arc.
Since the arc XZ is 86 degrees, the measure οf the inscribed angIe XYZ is 86/2 = 43 degrees.
AngIe X Y Z is the sum οf angIes XYZ and YXZ. Let's caII the measure οf angIe YXZ as α.
AngIe X Y Z = ∠XYZ + ∠YXZ
∠Y = 180° - ∠XYZ - ∠YXZ = 180° - 43° - α
Nοw, the angIe α is the exteriοr angIe οf triangIe YXZ, and it is equaI tο the sum οf the οppοsite interiοr angIes, XYZ and YXZ.
α = ∠XYZ + ∠YXZ
α = 43° + α/2
SοIving fοr α, we get:
α = 86°
Substituting α = 86° in the expressiοn fοr ∠Y, we get:
∠Y = 180° - 43° - 86° = 51°
Therefοre, the measure οf ∠Y is 51 degrees.
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Resolve partially
3x+2/(x+1)(x²+x+2)
Answer:
The given expression is:
3x + 2 / (x + 1)(x² + x + 2)
To simplify this expression, we need to factor the denominator first:
x² + x + 2 = (x + 2)(x + 1)
So the expression becomes:
3x + 2 / (x + 1)(x + 2)(x + 1)
Next, we can use partial fraction decomposition to express the expression in terms of simpler fractions. Let's assume:
3x + 2 / (x + 1)(x + 2)(x + 1) = A/(x + 1) + B/(x + 2) + C/(x + 1)²
Multiplying both sides by the common denominator, we get:
3x + 2 = A(x + 2)(x + 1) + B(x + 1)² + C(x + 2)(x + 1)
Expanding the right side, we get:
3x + 2 = Ax² + 3Ax + 2A + Bx² + 2Bx + B + Cx² + 3Cx + 2C
Combining like terms, we get:
3x + 2 = (A + B + C)x² + (3A + 2B + 3C)x + (2A + B + 2C)
Since this equation holds for all values of x, the coefficients of each power of x must be equal on both sides. We can equate the coefficients of x², x, and the constant term to get a system of three equations for A, B, and C:
A + B + C = 0
3A + 2B + 3C = 3
2A + B + 2C = 2
Solving this system, we get:
A = 2/3
B = -1/3
C = -1/3
Substituting these values back into the partial fraction decomposition equation, we get:
3x + 2 / (x + 1)(x² + x + 2) = 2/3/(x + 1) - 1/3/(x + 2) - 1/3/(x + 1)²
Therefore, the simplified expression is:
3x + 2 / (x + 1)(x² + x + 2) = 2/3/(x + 1) - 1/3/(x + 2) - 1/3/(x + 1)²
Which of the following equation will produce the graph shown below
The quadratic equation in the given graph can be written in the vertex-form as:
y = -2(x - 1)² + 4
Which of the equations produce the given graph?We can see the graph of a quadratic equation. Remember that a quadratic equation with a vertex (h, k) and a leading coefficient a can be written as:
y = a*(x - h)² + k
in the graph we can see that the vertex is (1, 4), replacing that we will get:
y = a*(x - 1)² + 4
In the graph we also can see that the curve passes through the point (0, 2), replacing thesevalues in the equation we will get:
2 = a*(0 - 1)² + 4
2 = a + 4
-2 = a
Then the quadratic is:
y = -2(x - 1)² + 4
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