Find the interest on a simple interest investment of $34,450 at 5.25% for 10 years.

The maximum area of the enclosure is 562500 square feet

The function is give as:

V(x) = 1500x - x^2

Differentiate

V'(x) = 1500 -2x

Set to 0

2x = 1500

Divide by 2

x = 750

Substitute x = 750 in V(x) = 1500x - x^2

V(x) = 1500*750 - 750^2

Evaluate

V(x) = 562500

Hence, the maximum area of the enclosure is 562500 square feet

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Answer:

-5/4

Step-by-step explanation:

Answer:

Nope. Icy-hot, you've got it all wrong, Tsukkishima is a godda.mn nerd like Deku, and Kyo is meh.

The value of x that produces the minimum average cost per unit C is approximately x = -87.25.

The given equation is C = \(2x^2\) + 349x + 9800. To find the number of units x that produces the minimum average cost per unit C, we need to find the minimum value of C and then determine the value of x at which this minimum occurs.

We note that C is a quadratic function of x and, since the coefficient of \(2x^2\)  is positive, this function is a parabola that opens upward. Thus, the minimum value of C occurs at the vertex of the parabola.

To find the vertex of the parabola, we use the formula for the x-coordinate of the vertex, which is given: by:

\($$x_{\text{vertex}}=-\frac{b}{2a}$$\) where a = 2 and b = 349 are the coefficients of \(2x^2\)  and x, respectively.

Substituting these values into the formula gives:

\($$x_{\text{vertex}}=-\frac{349}{2(2)}=-\frac{349}{4}=-87.25$$\)

Therefore, the value of x that produces the minimum average cost per unit C is approximately x = -87.25.

However, it is not meaningful to have a negative number of units, so we need to consider the value of x that produces the minimum cost per unit for positive values of x.

To find the minimum value of C for positive values of x, we substitute x = 0 into the equation to get: \(C = 2(0)^2 + 349(0) + 9800 = 9800\)

Therefore, the minimum average cost per unit occurs when x = 0, which means that the number of units that produces the minimum average cost per unit is zero.

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Answer:

160 million

Step-by-step explanation:

According to the ILO as of 2021, there's an estimated 160 million children working right now, so i don't know what answer you should put :/

Answer:

D 215 million

Step-by-step explanation:

Answer:

Medium pizza is 62.83 square inches greater than smaller pizza.

Step-by-step explanation:

Answer:

A.1

Step-by-step explanation:

looking at the function, you can see that you should use the second equation, x^3-9x^2+27x-25, x>=2

step 1: insert 2 into the equation. (2)^3-9(2)^2+27(2)-25

step 2: simplify equation 8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

The given function is g(x)=\(\left \{ {{(\frac{1}{2} )^{x-3} \hspace{6em} x < 2} \atop {{x^{3}-9x^{2} +27x-25} } \hspace{6em}x \geq2}} \right.\).

We need to find the value of g(2).

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, g(2)= \((\frac{1}{2} )^{x-3} =2\)

g(2)=2³-9(2)²+27×2-25

=8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

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Answer:

$3.42

Step-by-step explanation:

the cost = 11.4 × 0.30 = $ 3.42

Answer: 8

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

just use a mean absolute deviation calculator next time

Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.

To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).

The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:

2x + 3y = 15

3y = -2x + 15

y = (-2/3)x + 5

The slope of the given line is -2/3.

Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.

Now, we can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:

y - (-5) = (-2/3)(x - (-3))

y + 5 = (-2/3)(x + 3)

To convert this equation into slope-intercept form, we can simplify and rearrange:

y + 5 = (-2/3)x - 2

y = (-2/3)x - 2 - 5

y = (-2/3)x - 7

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Answer:

answer =3/2 or x = -7/2

Step-by-step explanation:

....

Step-by-step explanation:

To find the factor by which the dimensions of cylinder A were multiplied to produce the corresponding dimensions of cylinder B, we can use the fact that they are similar solids. This means that the ratio of corresponding dimensions is the same for both cylinders.

Since the base of cylinder A has a circumference of 4π units and the base of cylinder B has an area of 9π units, we can use these measurements to find the ratio of the radii of the two cylinders.

The circumference of a circle is given by 2πr, where r is the radius, so the radius of cylinder A is 4π/2π = 2 units.

The area of a circle is given by πr^2, so the radius of cylinder B is sqrt(9π/π) = sqrt(9) = 3 units.

The ratio of the radius of cylinder A to cylinder B is 2/3. Since similar solids have the same ratio for all dimensions, this means that the dimensions of cylinder A were multiplied by a factor of 2/3 to produce the corresponding dimensions of cylinder B.

The error bound for the 95% confidence interval is (1.96 x Standard Deviation/√n), which in this case is (1.96 x 11/√50) = 2.56. This means that the true mean weight of newborn elephant calves lies within +/-2.56 pounds of the interval range.

The 95% confidence interval for the population mean weight of newborn elephants can be calculated using the sample mean of 244 pounds and the sample standard deviation of 11 pounds. The confidence interval is calculated using the following formula:
Confidence Interval = (Mean - (1.96 x Standard Deviation/√n)), (Mean + (1.96 x Standard Deviation/√n))
Where n is the sample size.
Therefore, the 95% confidence interval for the population mean weight of newborn elephants is (231.14, 256.86).
This can also be represented in a graph. The graph would have the x-axis representing the confidence interval, with a range from 231.14 to 256.86, and the y-axis representing the probability, which would be 0.95.

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Constant of variation for given quadratic equation is 2/3

Correct option is a.

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

In the direct variation equations = k and y = k x,

and the inverse variation equations x y = k and

k is the constant of variation.

Given,

quadratic equation,

15y = 10x²

y = (10/15)x²

y = (2/3)x²

Comparing it with general form y = kx²

k = 2/3

Hence, 2/3 is constant of variation for the quadratic equation.

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Answer:

y = ( x-4)(x+7)

Step-by-step explanation:

When we know the zeros of the equation, we can write the equation in the form

y= a(x-z1) (x-z2)   where a is a constant and z1 and z2 are the zeros (solutions)

y = a( x-4)(x--7)

y =a( x-4)(x+7)

Since its says write an equation, we can pick a and I will let a=1

y = ( x-4)(x+7)

Answer:

n = 5

Step-by-step explanation:

Given

n + 16 = 21 ( isolate n by subtracting 16 from both sides )

n = 5

Answer:

n=5

Step-by-step explanation:

n+16=21

n=21-16

n=5

Given :

Ruth wants to buy a skateboard for $44.

She has $100 in her account. She spent $11.36 to buy stationary.

She also wants to buy some comic books for $3.72 each.

To Find :

The maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard.

Solution :

Money left after buying skateboard and stationary is :

Money left = $(100 - 11.36 - 44)

Money left = $44.64

Number of comic she can buy is :

\(n = \dfrac{44.64}{3.72}\\\\n = 12\)

Therefore, she can buy a maximum of 12 books.

Hence, this is the required solution.

Answer:

12

Step-by-step explanation:

Answer:

i think around 10 gallons. im not sure though,

Step-by-step explanation:

Answer:I would say 9.45 but I could be wrong if I am sorry...

Step-by-step explanation:if I’m right tho can I get brainlies please?

The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

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Answer:

one side is 3 (for the bigger one), and the other side is 1 (for the smaller one)

Step-by-step explanation:

Let us start by setting some variables. The variable for the side length of the first square is x.

Now x (of square one) has a side two feet bigger than the second square, which means the side length of the second square is x-2. We also know that the larger square has an area of 9 times the difference than the smaller one. We know that the first square is bigger, so the first square's area is 9 times bigger than the second one. Let's create an equation.

(area formula of a square: a =  s^2, where s is a side length)

x^2 = 9(x-2)^2

Let's expand the terms:

x^2 = 9(x^2 - 4x +4)

Multiply in the distributor:

x^2 = 9x^2 - 36x + 36

subtract like terms:

8x^2 - 36x + 36 = 0

divide like factors:

4(2x^2 - 9x + 9) = 0

Divide:

2x^2 - 9x + 9 = 0

Factor:

(2x-3)(x-3) = 0

Using Zero Product Property, x = 3/2, and x = 3. Since the smaller squares' side length is x-2, x =3/2 does not work because 3/2 - 2 = -1/2, which is a negative number. you cannot have negative sides.

So one side is 3 (for the bigger one), and the other side is 1 (for the smaller one)

thanks, and please mark brainliest!

Answer:

Fraction: 44/100 or 22/50 or 11/25

Decimal: 0.44

Percent: 44%

Answer:

\(\frac{11}{25}\) (as a fraction), 0.44 (as a decimal), or 44% (as a percent)

Step-by-step explanation:

Find the total squares. (100)

Find the filled squares. (44)

Divide the filled squares by the total squares. (44 ÷ 100)

Convert to fraction. (\(\frac{44}{100}\))

Simplify (\(\frac{11}{25}\))

Answer: \(\frac{11}{25}\) or 0.44 or 44%

To convert to a decimal, divide 11 by 25. To convert to a percent (%) divide 11 by 25 and multiply by 100.

Janet attributes her good grade on a difficult algebra test to her high level of mathematical skills. This most clearly indicates that she experiences a high level of self-efficacy.

Self-efficacy means belief in one's own ability to accomplish a specific task or goal. Having its indicate a strong sense of confidence in ability to successfully perform a task.

This belief can lead to positive outcomes including increased motivation, perseverance and resilience. Individuals with self-efficacy are likely to set challenging goals, take on new and difficult tasks and persist in the face of setbacks.

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Answer:

its too small, i cant read it, sorry

Step-by-step explanation:

Answer:

step 1-  (3x2 +  h) +  2c

step 2- 2.1    Factoring    3x2 + h + 2c

Also, Try to factor this multi-variable trinomial using trial.

Therefor the expresion is -1

Step-by-step explanation:

Hopefuly this helped! :)

The correct option is: (i) and (iii) are correct statements but not (ii).

The correct answer is:

(i) The uniform probability distribution's shape is a rectangle.

(ii) The uniform probability distribution is symmetric about the mode.

(iii) In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.

Therefore, the correct option is: (i) and (iii) are correct statements but not (ii).

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(a) The 92nd percentile of the number of calories is 524.3.

(b) The 30th percentile of the number of calories is 466.4.

(c) The third quartile of the number of calories is 502.1.

To find percentiles in a normally distributed population, we use the standard normal distribution and the z-score formula:

z = (x - μ) / σ

where;

To find the 92nd percentile of the number of calories:

We want to find the value x such that 92% of the servings have fewer calories than x.

This means that we need to find the z-score such that the area to the left of z is 0.92.

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.92 is approximately 1.41.

Then, we use the z-score formula to solve for x:

1.41 = (x - 482) / 30

x - 482 = 42.3

x = 524.3

To find the 30th percentile of the number of calories:

We want to find the value x such that 30% of the servings have fewer calories than x.

This means that we need to find the z-score such that the area to the left of z is 0.30.

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.30 is approximately -0.52.

Then, we use the z-score formula to solve for x:

-0.52 = (x - 482) / 30

x - 482 = -15.6

x = 466.4

To find the third quartile of the number of calories:

The third quartile, denoted Q3, is the value such that 75% of the servings have fewer calories than Q3.

This means that we need to find the z-score such that the area to the left of z is 0.75.

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.75 is approximately 0.67.

Then, we use the z-score formula to solve for x:

0.67 = (x - 482) / 30

x - 482 = 20.1

x = 502.1

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The standard deviation of a binomial distribution is C. 3.46

Standard deviation is the measure of spread of a set of data.

Since a binomial trial has a probability of success of 0.2, and 75 trials are performed. To find the standard deviation, we use the formula for standard deviation of a binomial distribution.

The standard deviation of a binomial distribution is given by σ = √(npq) where

Given that for our binomial trial

So, substituting the values of the variables into the equation, we have that

σ = √(npq)

σ = √(75 × 0.2 × 0.8)

σ = √(75 × 0.16)

σ = √12

σ = 3.464

σ ≅ 3.46

So, the standard deviation is C. 3.46

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