Can someone help me with this question please

Answer:

Original sum of money = $2246.51

Step-by-step explanation:

Interest = $96.60

Interest is compounded 6 times in a year ; n = 6

time = 1 year ; Rate of interest (r) = 4.2%

Answer:

hmm i think its dependent!

srry if im wrong tho

The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.

These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.

Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.

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Complete Question:

Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.

answer 48h. The maximum volume of a rectangular box without a lid can be found using the equation: V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height.

To solve this problem, you need to first determine the length, width, and height of the box. Since you have 48 m2 of cardboard, you can rearrange the equation to solve for one of the variables.

48 m2 = l x w
w = 48/l

Once you have determined the width, you can then use the equation to solve for the length and the height.

V = l x 48/l x h
V = 48h

Therefore, the maximum volume of such a box is 48h, where h is the height of the box.

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According to the figure of the rhombus ∠ UTV = 36 degrees

Angle UTV is solved learning some property of rhombus

The opposite angles are equal.

The diagonals divide the angles.

∠ UTV = ∠ UTW / 2

Assuming  ∠ UTW = ∠ UVW = x

Given: ∠ TWV = ∠ TUV = 108

2x + 2(108) = 360 sum of angles of a rhombus

x + 108 = 180

x = 180 - 108

x = 72

∠ UTV = 72/2

∠ UTV = 36 degrees

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

A triangle that has a measurement greater than 90 degrees but less than 180 degrees.

Step-by-step explanation:

Hope this helps!!

Can you please mark me branliest??

Answer:

COCO is life

Step-by-step explanation:

COCO is = to food and water

And food of COCO contains 2grams

Water of COCO contains 10 liters

So add grams and liters together

And u get this

10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco

=coco 10274728l

Answer:

x = 4, y = 5.

Step-by-step explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y =  1       (A)

-3x + y = -7      (B)

Multiply  B by 3:

-9x + 3y = -21   (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.

One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.

What is system of linear equations?

A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.

Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.

equation 5=20

20-5 = 15

Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.

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The number of rows required in a truth table to evaluate a logical statement with four variables is 16. The logical equivalence between "p → (q→ r)" and "(p —— q) → r" is True.

The statement that DeMorgan's laws are invalid if the negation operator distributes over conjunction and disjunction operators is False.

A truth table is a useful tool to evaluate the truth values of logical statements for different combinations of variables. In this case, since there are four variables involved, we need to consider all possible combinations of truth values for these variables.

Since each variable can take two possible values (True or False), we have 2^4 = 16 possible combinations. Therefore, we require 16 rows in the truth table to evaluate the logical statement.

Moving on to the logical equivalence between "p → (q→ r)" and "(p —— q) → r", we can determine if they are equivalent by constructing a truth table. Both expressions have three variables (p, q, and r). By evaluating the truth values for all possible combinations of these variables, we can observe that the truth values of the two expressions are identical in all cases.

Hence, the logical equivalence between "p → (q→ r)" and "(p —— q) → r" is True.

Regarding the statement about DeMorgan's laws, it states that if the negation operator distributes over the conjunction and disjunction operators in propositional logic, then DeMorgan's laws are invalid. However, this statement is false.

DeMorgan's laws state that the negation of a conjunction (AND) or disjunction (OR) is equivalent to the disjunction (OR) or conjunction (AND), respectively, of the negations of the individual propositions. These laws hold true irrespective of whether the negation operator distributes over the conjunction and disjunction operators.

Therefore, the statement about DeMorgan's laws being invalid in such cases is false.

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-20 = x/8 -8) oh ya and please subscribe to iwpp

Answer:

Sides other than hypotenuse of an isosceles triangle are equal.

Let the other two sides be x each.

Using pythagoras theorem

x

2

+x

2

=(5

2

)

2

2x

2

=50

⇒x

2

=25

⇒x=5cm

So the other two sides are 5cm each.

For the given question there are always 425 skiers on the chair lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope. The ride from the bottom to the top takes 15 minutes. We have to determine the number of skiers who are riding on the lift at any given time.

There are a few steps that we can take to solve this problem:

Step 1:Calculate how long the trip is from top to bottom:

The trip from bottom to top takes 15 minutes.

Therefore, the trip from top to bottom would take the same amount of time.

Step 2:Calculate how many trips the lift makes in an hour:

We have to convert 1 hour to minutes.1 hour = 60 minutes

Therefore, 1 hour = 60/15 = 4 trips from top to bottom

Step 3:Calculate how many skiers are riding on the lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope.

So, every 15 minutes, 425 skiers are unloaded at the top.

Since the lift takes 15 minutes to make one trip, there are always 425 skiers on the lift at any given time.

There are always 425 skiers on the chair lift at any given time.

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The time that it would take Walter, Riya and Teo to work together is 1.2 hours

An equation is an expression that shows the relationship between two or more numbers and variables.

Walter can decorate the MPR alone in 4 hours, Riya in 4 hours also while Teo in 3 hours.

Let t represent the time it takes to decorate the room together, hence:

(1/4 + 1/4 + 1/3)t = 1

(5/6)t = 1

t = 1.2 hours

The time to work together is 1.2 hours

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Answer:

1 hour and 12 minutes

Step-by-step explanation:

it was right on my rsm homework so its right

Receiving a formal reprimand or warning isn't usually punitive, but can be embarrassing for the professional and potentially for the attorney who retained the professional.

Our final rational function becomes: g(x) =\([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)

To create a rational function g(x) that satisfies the given properties, we can start by considering the horizontal asymptote and the hole.

Given that the horizontal asymptote is y = 0, we know that the degree of the polynomial in the numerator is less than or equal to the degree of the polynomial in the denominator.

Considering the hole at (-4, -3/19), we can introduce a factor of (x + 4) in both the numerator and denominator to cancel out the common factor. This will create a hole at x = -4.

So far, we have:

g(x) = [(x + 4)(ax + b)] / [(x + 4)(cx + d)]

Next, let's consider the local minimum at (-3, -1/6) and the local maximum at (1, 1/2).

To ensure a local minimum at x = -3, we can make the factor (x + 3) squared in the denominator, so that it does not cancel out with the numerator. We can also choose a positive coefficient for the factor in the numerator to create a downward-facing parabola.

To ensure a local maximum at x = 1, we can make the factor (x - 1) squared in the denominator, and again choose a positive coefficient for the factor in the numerator.

Adding these factors, we have:

g(x) =\([(x + 4)(ax + b)(x + 3)^2] / [(x + 4)(cx + d)(x - 1)^2]\)

Finally, we consider the x-intercept at x = -1 and the y-intercept at y = 1/3.

To achieve an x-intercept at x = -1, we can set the factor (x + 1) in the numerator.

To achieve a y-intercept at y = 1/3, we set the numerator constant to 1/3.

Multiplying these factors, our final rational function becomes:

g(x) = \([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)

Where a, b, c, and d are coefficients that can be determined by solving a system of equations using the given properties.

Please note that without additional information or constraints, there are multiple possible rational functions that can satisfy these properties. The function provided above is one possible solution that meets the given conditions.

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The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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The ratio of the volumes of the sphere, cone, and cylinder with same radius and height is equal to 4 : 1 : 3.

To find the ratio of the volumes of a sphere, a cone, and a cylinder with the same radius and height,

Use the formulas for their respective volumes.

Let's assume,

r is the radius of the sphere, cone, and cylinder.

h is the height of the sphere, cone, and cylinder.

The volume of a sphere is given by  Volume of the sphere = (4/3) × π × r³.

The volume of a cone is given by  Volume of the cone = (1/3) × π × r² × h.

The volume of a cylinder is given by  Volume of the cylinder = π × r² × h.

Since the radius (r) and height (h) are the same for all three shapes,

simplify the ratio of their volumes.

Ratio of volumes,

Volume of the sphere :  Volume of the cone :  Volume of the cylinder

= ((4/3) × π × r³) : ((1/3) × π × r² × h) : (π × r² × h)

= (4/3) : (1/3 × h) : 1

Since assumed that the height is the same for all three shapes, the ratio simplifies further,

Ratio of volumes

= (4/3) : (1/3) : 1

= 4 : 1 : 3

Therefore, the ratio of the volumes of the sphere, cone, and cylinder is 4 : 1 : 3.

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Answer:

25x^6

Step-by-step explanation:

:)

You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

The initial value of f(x) is -36.

The initial value of g(x) is -44

The range of f(x) is {y | -36 ≤ y ≤ -20}

The range of g(x) is {y | -44 ≤ y ≤ -20}

A function is a relationship between inputs where each input is related to exactly one 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,

{x | -6 ≤ x ≤  -2}

g(x) = 6x - 8

From the table, we get that,

The initial value of f(x) is -36.

The initial value of g(x).

g(x) = 6 x (-6) - 8 = -36 - 8 = -44

The range of f(x).

= {y | -36 ≤ y ≤ -20}

g(x) = 6x - 8

g(x) = 6 x (-6) - 8 = -36 - 8 = -44

g(x) = 6 x (-2) - 8 = -12 - 8 = -20

The range of g(x)

= {y | -44 ≤ y ≤ -20}

Thus,

The initial value of f(x) is -36.

The initial value of g(x) is -44

The range of f(x) is {y | -36 ≤ y ≤ -20}

The range of g(x) is {y | -44 ≤ y ≤ -20}

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Answer:

x2 - 2x + 4  (remainder 2).

or we could write it as

x2 - 2x + 4 + 2/(x+3)

Step-by-step explanation:

          x2  -  2x + 4   <------ quotient.

x + 3 )  x3 +   x2 - 2x + 14

          x3 +  3x2

                  -2x^2 - 2x

                   -2x2 -  6x

                                4x  + 14

                                 4x + 12

                                          2 <--------- remainder

Step-by-step explanation: