If Tanisha has $1,000 to invest at 5% per annum compounded monthly, how long will it be before she has $1,400? if the compounding is continuous, how long will it be? Compounding monthly, it will be about 6.74 years before Tanisha has $1,400. (Round to two decimal places as needed.) Compounding continuously, it will be about years before Tanisha has $1,400. (Round to two decimal places as needed.)

Answer: y=6x+30

Step-by-step explanation:

Answer:30x

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

(1+x) + (3+x) + (5+x) + (7+x) + (9+x) + (11+x) + (13+x) = 231

7x + 49 = 231

7x = 231 - 49

7x = 182

x = 182/7

x = 26

To find the middle number;

7 + x

= 7+26

= 33

The sample standard deviation is 3. Option B

Standard deviation is defined as a statistical measure of the dispersion of a dataset in relation to its mean.

It is calculated as the square root of the value of the variance.

A low value of the standard deviation indicates that the values tend to be closer to the mean of the set, whereas, a high standard deviation indicates that the values are over a wider range.

It is represented with the symbol, σ'

The formula for standard deviation is expressed as;

Standard deviation, σ = √variance

Now, substitute the value of the variance

Standard deviation = √9

Standard deviation = 3

Hence, the value is 3

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The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer:

-2x+1

Step-by-step explanation:

The estimated answer of 40 is close to Keira's answer of 38.6. This suggests that her answer is reasonable.

One way Keira can check if her answer is reasonable is to use estimation.

She can round the numbers in the original division problem to the nearest multiples of 10, which makes the calculation easier, and check if the estimated answer is close to her actual answer. That is:

123.52 is approximately 120, and 3.2 is approximately 3. So the division problem becomes:

120 / 3 = 40

This estimated answer of 40 is close to Keira's answer of 38.6, which suggests that her answer is reasonable.

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Step-by-step explanation:

tu lo que pusiste es falso

The value of a and b for the given exponents by the law of indices will be 10 and 6 respectively.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.

As per the given expression,

(7² 7⁸)/7⁴ = 7²⁺⁸/7⁴ = 7¹⁰/7⁴ = 7⁶

Hence "The value of a and b for the given exponents by the law of indices will be 10 and 6 respectively".

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ANSWER :

False

EXPLANATION :

Two lines are perpendicular if their slopes, m1 and m2, are the negative reciprocal of each other.

Therefore, the given statement is False

A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.

B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.

C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.

D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.

So A. is the correct answer.

Answer:

A. (2,4), (2,7)

Hope you could get an idea from here.

Doubt clarification - use comment section

The algebraic equation that represents above statement is 3w + 16 = 31 and the johns age is 5

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

Given that

John's age is w

His brother's age = 2*John's age  

= 2w

His sister's age = 16 years

Total age of siblings = 31

⇒ w + 16 + 2w = 31

⇒ w + 2w + 16 = 31

Combine like terms

⇒ 3w + 16 = 31

Subtract 16 from both sides

⇒ 3w = 31 - 16

⇒ 3w =15

⇒ w = 15/3

⇒ w = 5

John is 5 years old

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Answer:

\(x^{3} \\\) + \(y^{3} = z^{3}\)

Any variable/number can be replaced by z because its just an assumption.

Step-by-step explanation:

Answer:

2^4·3²·5²  = 3600

Step-by-step explanation:

Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

The coordinate of the circumcenter of a triangle is (1,3).

Here we have to find the coordinates of the circumcenter of a triangle.

Given data:

The vertices of the triangle are:

A = (0,1)

B = ( 2,1)

C= ( 2,5)

The formula to find the distance between the two points:

Distance = \(\sqrt{(x2 - x1)^{2} + (y2-y1)^{2} }\)

In the same manner distance between AB, BC, and AC are:

AB = \(\sqrt{(2-0)^{2} + (1-1)^{2} }\)

    = 2

BC = \(\sqrt{(2-2)^{2} + (5-1)^{2} }\)

      = 4

AC = \(\sqrt{(2-0)^{2} + (5-1)^{2} }\)

     = 2√5

So by the Pythagoras, we get to know that the triangle is a right-angle triangle.

The circumcenter of a right-angle triangle is the midpoint of the hypotenuse.

Midpoint of AC = (0+2)/2 , (1+5)/2

                         = 2/2, 6/2

                         = 1,3

Therefore the coordinate of the circumcenter is (1,3).

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Answer:

5

Step-by-step explanation:

w-3=-2

first you need to figure out what w stands for

I just started plugging in numbers starting from 1 and when I got to 5 the number fit.

To know which function has the largest value for f(3), we need to substitute x=-3 in each function:

A. f(x)=2x-5

f(-3)=2(-3)-5=-11

B. f(x)=2-4x

f(-3)=2-4(-3)=14

C. f(-3)=6-3^(-3)

f(-3)=6-1/27

f(-3)=161/27

D. f(x)=2^(x)+10

f(-3)=2^(-3)+10

f(-3)=1/8+10=81/8

The largest value for f(-3) is 14, The answer is B f(x)=2-4x

Answer:

b

Step-by-step explanation:

the answer is b 137 kg .

The mass of the refrigerator is b) 137 kg

Newton's second law of motion states that time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it

Given

Force = 48 N

Acceleration = 0.35 m/s^2

Mass = ?

according to Newton's second law of motion,

Force = mass * volume

mass = force / volume

         = 48 / 0.35

         = 137.14 ≈137 kg

The mass of the refrigerator is b) 137 kg

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Answer:

Sample because it's only the first ten games of the season not of all the games in the season

Step-by-step explanation:

Answer:

Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.

Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..

It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.

The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.

The area of the composite figure from the image attached is 112.5 units²

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

The area of a parallelogram = b × h

where;

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle \(\mathbf{=\dfrac{1}{2}\times b \times h}\)

where;

The area of the triangle \(\mathbf{=\dfrac{1}{2}\times b \times h}\)

The area of the triangle \(\mathbf{=\dfrac{1}{2}\times 9 \times 7}\)

The area of the triangle \(\mathbf{= 31.5 units^2}\)

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

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1.) Proving the absorption law A U (AnB) = A by universal generalization (applied twice).

2.) Proving the associative law An (BnC) = (A n B) n C by membership table.

1.) Let x be an element in An (BnC).

By universal generalization, x is in A or x is in (AnB).
If x is in A, then x is in A U (AnB) by definition of union.
If x is in (AnB), then x is in A and x is in B by definition of intersection.
Since x is in A, x is in A U (AnB) by definition of union.
Therefore, x is in A U (AnB) if and only if x is in A.
By universal generalization, A U (AnB) = A.

2.) Prove the associative law An (BnC) = (A n B) n C by membership table.

Let x be an element in An (BnC).
By definition of intersection, x is in A and x is in (BnC).
By definition of intersection, x is in B and x is in C.
Therefore, x is in A and x is in B and x is in C.
By definition of intersection, x is in (A n B) and x is in C.
By definition of intersection, x is in (A n B) n C.
Therefore, x is in An (BnC) if and only if x is in (A n B) n C.
By membership table, An (BnC) = (A n B) n C.

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The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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Answer:

3/20 of more meat is used for a quarter pounder

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

x³ - 2x² - 11x + 12 = x³ - 13x - 12

Subtract x³ - 13x - 12 from both sides

- 2x² + 2x + 24 = 0 ← in standard form ( divide all terms by - 2 )

x² - x - 12 = 0

(x - 4)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

Total money for napkins = $ 240

Cost of one napkin = $4

No of napkins\(⇒ \frac{240}{4} \\ = 60\)

Answer: 60

Step-by-step explanation:

You divide the 240 by 4 and you get 60

The slope of any line parallel to this line would be c) 3/7.

Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.  

Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.

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4x................... I hope it helps

Answer:

(-3x²+5x-2)-2(x²-2x-1)

-3x²+5x-2-2x²+2x+2

-5x²+7x

b = 7

Answer:

(-3x²+5x-2)-2(x²-2x-1)

-3x²+5x-2-2x²+2x+2

-5x²+7x

b = 7

Step-by-step explanation:

Answer: 24 hours - no; because depending on where you are on Earth, you have a  different amount of sunlight.

Step-by-step explanation:

The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.

People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.

Answer:

-x + 15y + 7a - b + 7c - 23

Step-by-step explanation:

3(x+5y-4) - 4x - 11 + 5a + 3b - 6c + 2a - 4b + 13c

= 3x + 15y -12 - 4x - 11 + 5a + 3b - 6c + 2a - 4b + 13c

= (3x-4x) + 15y + (5a+2a) + (3b-4b) - (6c - 13c) - (11+12)

= -x + 15y + 7a - b + 7c - 23

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