$8750 is invested at 9.0 % compounded continuously. How long will it take for the balance to reach $17500? Round your answer to two decimal places

Answer: height = 13.9 cm

Step-by-step explanation:

The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2

Base area = πr^2

Substitutes the value into the formula

98.56 = 22/7 × r^2

Cross multiply

689.92 = 22r^2

r^2 = 689.92/22

r = sqrt ( 31.36 )

r = 5.6 cm

Also, the curved surface area of a cone is πrL

Where the given value is 264 cm^2

Substitutes the value into the formula

264 = 22/7 × 5.6 × L

Where L = slant height

Cross multiply

123.2L = 1848

L = 1848 /123.2

L = 15 cm.

Using pythagorean theorem to find the height H of the cone.

H^2 = L^2 - r^2

H^2 = 15^2 - 5.6^2

H = sqrt( 193.64 )

H = 13.9 cm

Answer:

y = -1/3x - 5

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (-6, -3) (6, -7)

We see the y decrease by 4, and the x increase by 12, so the slope is

m = -4/12 = -1/3

Y-intercept is located at (0, -5)

So, our equation is y = -1/3x - 5

Claire fed Folly at 2 pm, gave Folly to Max at 2:10 pm. Folly belonged to either Max or Claire at 2:05 pm. Neither Mar nor Claire fed Folly at 2 pm or 2:05 pm. The event occurred between 1:55 pm and 2:05 pm. At 2 pm, Max took Folly from Claire. Folly wasn't hungry at 2 pm but was at 3 pm.

1. student(Mar) ∧ ¬pet(Mar)2. fed(Claire, Folly, 2pm) ∧ gave(Claire, Folly, Max, 2:10pm)3. (belongs(Folly, Max, 2:05pm) ∨ belongs(Folly, Claire, 2:05pm))4. ¬(fed(Mar, Folly, 2pm) ∨ fed(Claire, Folly, 2pm) ∨ fed(Mar, Folly, 2:05pm) ∨ fed(Claire, Folly, 2:05pm))5. between(2pm, 1:55pm, 2:05pm)6. ¬hungry(Folly, 2pm) ∧ hourLater(Folly, 2pm, 3pm)

1. Student(Mar) ∧ ¬Pet(Mar)2. Fed(Claire, Folly, 2pm) ∧ Gave(Claire, Folly, Max, 2:10pm)3. BelongsTo(Folly, Max, 2:05pm) ∨ BelongsTo(Folly, Claire, 2:05pm)4. ¬(Fed(Mar, Folly, 2pm) ∨ Fed(Claire, Folly, 2pm) ∨ Fed(Mar, Folly, 2:05pm) ∨ Fed(Claire, Folly, 2:05pm))

5. Between(2:00pm, 1:55pm, 2:05pm)6. Gave(Max, Folly, Claire, 2pm) ∧ ¬Hungry(Folly, 2pm) ∧ Hungry(Folly, 3pm)

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Answer:

135

Step-by-step explanation:

m(abc)= m(abd) +m(dbc) = 65+60 =135

Answer:

180-(65+57)=58

Step-by-step explanation:

Answer:

Step-by-step explanation:

There's only 1 angle to find.

45 + 57 + ? = 180                    All triangles have interior angles that add to 180.

102 + ? = 180                          Combined 45 and 57  Subtract 102 from both sides

? = 180 - 102                           Combine

? = 78

The PDF of Y = tan X is: fY(y) = {[tan-1y + π/2]/π} - 1, -∞ < y < ∞.

1. If X is uniformly distributed over 0,1), the probability density function (PDF) of Y = ex is given by: fY(y) = P(Y ≤ y) = P(ex ≤ y) = P(x ≤ ln y) = ∫0lnyfX(x)dx where fX(x) is the PDF of X.

Since X is uniformly distributed over (0,1), its PDF is:fX(x) = { 1, 0 ≤ x < 1, otherwise Substituting f X(x) in the above equation, fY(y) = ∫0lnyfX(x)dx= ∫0 lny1dx= ln y, 0 < y < 1

Therefore, the PDF of Y = ex is: fY(y) = ln y, 0 < y < 1.2. If X has a uniform distribution U(-π/2, π/2), the probability density function (PDF) of Y = tan X is given by: fY(y) = P(Y ≤ y) = P(tan X ≤ y) = P(X ≤ tan-1y) + P(X ≥ π/2 + tan-1y)= Fx (tan-1y) - Fx(π/2 + tan-1y),where Fx(x) is the cumulative distribution function (CDF) of X.

Since X is uniformly distributed over (-π/2, π/2), its CDF is given by:Fx(x) = { 0, x < -π/2, (x + π/2)/π, -π/2 ≤ x < π/2, 1, x ≥ π/2Substituting Fx(x) in the above equation, we get: fY(y) = Fx(tan-1y) - Fx(π/2 + tan-1y)= {[tan-1y + π/2]/π} - 1, -∞ < y < ∞

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Therefore ,as a  result unitary method they just have sufficient flour to complete their recipes because they require roughly 4.08 c of wheat and only have 4 c.

In order to solve a problem using the unitary approach, you must first determine how much of a small subset there is, then multiply that number by two. Simply expression, the unit approach is utilized to isolate a common programming value from the a given set. For instance, 40 pens cost 400 rupees ($1.01) each, or Rs. It's possible that the method utilized to accomplish this will be governed by just one country. Each every thing has a distinctive quality. Its reciprocity and integration capabilities are the same (mathematics, algebra).

Here,

Given : Flour is available in 4c.

Eliza requires 2 1/3 cups of flour.

1 3/4 c of flour is required by Jaime.

All mixed numbers must first be converted into fractions before we can total the two amounts to determine if we have enough flour.

=> 2* 1/3 =7/3

=> 1* 3/4 = 7/4

Now, we add.

=> 7/3 +7/4

=> 28+21/ 12

=> 49/12

=> 4.08

As a result, they just have sufficient flour to complete their recipes because they require roughly 4.08 c of wheat and only have 4 c.

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The surface area of the sphere is 132 ft². Thus, the correct answer choice is H.

The surface area of the sphere can be calculated using the formula \(A = 4\pi r^2\), where \(A\) represents the surface area and \(r\) is the radius of the sphere.

Given that the area of the great circle of the sphere is 33 ft², we can use this information to find the radius of the sphere.

The area of the great circle is equal to the area of the base of the sphere, which is a circle. The formula for the area of a circle is \(A = \pi r^2\). Since the given area of the great circle is 33 ft², we have:

\(\pi r^2 = 33\)

To find the radius \(r\), we divide both sides of the equation by \(\pi\):

\(r^2 = \frac{33}{\pi}\)

Now, we can find the surface area of the sphere by substituting the radius into the formula for surface area:

\(A = 4\pi r^2 = 4\pi \left(\frac{33}{\pi}\right)\)

The \(\pi\) in the numerator and denominator cancels out, giving:

\(A = 4 \times 33 = 132\) ft²

Therefore, the surface area of the sphere is 132 ft². Thus, the correct answer choice is H.

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Answer:

X = 5

Step-by-step explanation:

3x + 12 + 9x = 72

okay hopefully i can explain so when your doing this combine like terms so

3x + 9x = 12x

12x + 12 = 72

then you would subtract both sides by 12

+12 = subtract x+12=2

- 12 = add x-12=2

there just flipped so in this case i would subtract 12

12x + ( 12-12) = ( 72-12 )

so 12-12 = 0 and 72-12 is equal to 60

12x = 60

the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5

so X = 5

hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps

The answer is C. 1/10 of a centimeter.

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

\(\qquad \tt \dashrightarrow \:2(4 + 12)\)

\(\qquad \tt \dashrightarrow \:2(16)\)

\(\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} \)

Circumference of Semicircle :

\(\qquad \tt \dashrightarrow \:\pi r\)

\(\qquad \tt \dashrightarrow \:3.14 \times 2\)

\(\qquad \tt \dashrightarrow \:6.28 \: ft\)

Length of common side = 4 feet

So, perimeter of composite figure :

\(\qquad \tt \dashrightarrow \:32 + 6.28 - 4\)

\(\qquad \tt \dashrightarrow \:34.28 \: ft\)

Answer:

Shirley bought a fax machine and sells to Devi at a profit of 25% on the cost price.

Shirley buy price:: x

Devi buy price:: 1.25x

Devi sells the fax machine to Amirah at a loss of 250 on the price which she buys it from Shirley.

Amirah buy price = 1.25x -250

if Amirah pays $360 for the fax machine,how much did Shirley pay for it?

Equation:

1.25x - 250 = 360

1.25x = 360 + 250

x = 610 / 1.25

x = 488

Ans: x = $488 (Price Shirley paid)

Answer:

because 4 to the power of 5 is 5 x 5 x 5 x 5 and that equals 20

and the next number is 20

Step-by-step explanation:

Answer:

It will be worth 16k in 10 years

Step-by-step explanation:

divide 20k by 100

1% = 200 dollars

200 x 8 gives you 1.6k

1.6k x 10 = 16k

Answer:

It will be worth 25k

Step-by-step explanation:

You do 20,000 divided by 8 which is 2,500 and do 2,500x10

The y-intercept is the intital value where the equation begins.

Because Sally initially started at 30.4 pounds, the y-intercept is 30.4.

The trinomial expression of (x−3)(2x−5) is 2\(x^{2}\) − 11x + 15.

To express the product of two binomials (x−3) and (2x−5) as a trinomial, we can use the FOIL method or distributive property.

FOIL stands for First, Outer, Inner, Last. We multiply the First terms in each binomial, then the Outer terms, then the Inner terms, and finally the Last terms. We then add these four products together to get our trinomial.

Using the distributive property, we can multiply each term in the first binomial by each term in the second binomial. This gives us four terms, which we can then simplify by combining like terms to obtain the trinomial.

So, using either method, we get:

(x−3)(2x−5) = x(2x) + x(-5) - 3(2x) - 3(-5)

                  = 2\(x^{2}\) -5x -6x + 15

                  = 2\(x^{2}\) − 11x + 15

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Answer:

a

Step-by-step explanation:

Answer:

B is 5/8

Step-by-step explanation:

Note: 4/8 = 1/2 and 6/8 = 3/4

The minimum sample size needed in the research of systolic blood pressure is 68.

Given standard deviation=25 mm Hg, confidence level=90%, Estimation =5 mm Hg.

We have to first find the level of alpha which is known as error.

α=(1-0.9)/2

=0.05

Now we have to find z in the z table as such z has a p value of 1-α,that is z with a p value of 1-0.05

=0.95 ,so Z=1.645.

now finding the margin of error, which is as under:

\(M=z st/\sqrt{n}\)

in which st is standard deviation and the n is sample size of population.

By assuming the standard deviation of 25 mm Hg we get values as under:

n is sample size.

\(M=z* st/\sqrt{n}\)

\(5=1.645*25/\sqrt{n}\)

\(5\sqrt{n}=1.645*25\\\)

dividing both sides by 5

\(\sqrt{n}=1.645*5\)

squaring both sides we get

n=67.65.

Hence the sample size needed by the researcher is 68.

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The given question is incomplete as it should includes :

standard deviation= 25mm Hg

Confidence level=90%

Estimation 5 mm Hg of u.

a. f'(x) = 40x³

To find the derivative of f(x) = 10x⁴, we apply the power rule.

The power rule states that if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹. Applying this rule, we get f'(x) = 4 * 10x³ = 40x³.

b. : f'(x) = 20 + 90x²

To find the derivative of f(x) = 20x + 30x³, we differentiate each term separately. The derivative of 20x is 20, and the derivative of 30x³ is 90x² (applying the power rule). Adding these derivatives, we get f'(x) = 20 + 90x².

r: f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5)

To find the derivative of f(x) = (10 + 2x²)(5x - x²), we apply the product rule. The product rule states that if f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x). Differentiating each term, we get f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5).

d.: f'(x) = 40x

To find the derivative of f(x) = 20x / (x²), we use the quotient rule. The quotient rule states that if f(x) = g(x) / h(x), then f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x)²). In this case, g(x) = 20x and h(x) = x². After differentiating and simplifying, we obtain f'(x) = 40x.

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ANOVA is a more appropriate and efficient method for evaluating mean differences when an experiment consists of three or more treatment conditions, as it provides a more robust and reliable analysis than multiple t-tests, while also reducing the risk of Type I errors.

The principal reason why you should use ANOVA (Analysis of Variance) instead of several t-tests to evaluate mean differences when an experiment consists of three or more treatment conditions is that multiple t-tests accumulate the risk of a Type I error.

A Type I error is the rejection of a true null hypothesis, which means that you have falsely concluded that there is a significant difference between the treatment groups when there is actually no difference. When conducting multiple t-tests, the probability of making a Type I error increases with the number of tests performed. In other words, if you perform multiple t-tests, the overall probability of making at least one Type I error increases, and this can lead to incorrect conclusions.

ANOVA is a statistical technique that allows you to compare the means of three or more treatment groups simultaneously while controlling the probability of making a Type I error. ANOVA compares the variance between groups to the variance within groups to determine if the differences between the treatment groups are statistically significant. By using ANOVA instead of multiple t-tests, you can reduce the overall risk of making a Type I error while still evaluating the mean differences between the treatment groups.

Therefore, ANOVA is a more appropriate and efficient method for evaluating mean differences when an experiment consists of three or more treatment conditions, as it provides a more robust and reliable analysis than multiple t-tests, while also reducing the risk of Type I errors.

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Answer:

√3/2 is the correct answer. I hope this helps ^^

Step-by-step explanation:

Answer:

There isn't much to say because there is no image with the options but, no, all these measures of desperation are affected by extreme values

For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is

it can also be written as a fraction :

It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be

The sequence is important.

Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of height has been calculated

Let the radius be r inch and height of the cylinder be 10 inch

It is given

h = 10r

Volume of cylinder (V) = \(\pi r^2 h\)

                                     = \(\pi (\frac{1}{10}h)^2h\\\frac{1}{100}\pi h^3\)

\(\frac{dV}{dt} = \frac{d}{dt}\frac{1}{100}\pi h^3\\\)

    \(= \frac{3}{100}\pi h^2\frac{dh}{dt}\)

\(150 = \frac{3}{100}\times \pi \times35^2 \times \frac{dh}{dt}\\\frac{dV}{dt} = \frac{147}{4}\pi \frac{dh}{dt}\\150 = \frac{147}{4}\pi \frac{dh}{dt}\\\frac{dh}{dt} = \frac{600}{147\pi}\\\frac{dh}{dt} = \frac{200}{49\pi}\)

Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

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width:

answer: width = 8 inch

Answer:

true

Step-by-step explanation:

i) I was proven innocent by virtue of the law.

ii) Don’t leave without your coat.

In sentence (i), the prepositional phrase "by virtue of" introduces the reason or cause for being proven innocent. It indicates that the law is the basis or foundation for the proof.

In sentence (ii), the prepositional phrase "without your coat" indicates the absence or lack of something. It specifies that the action of leaving should not occur unless the person has their coat with them.

Prepositional phrases consist of a preposition (such as "by," "of," or "without") followed by a noun or pronoun object. They provide additional information about location, time, manner, or other relationships in a sentence. Recognizing and understanding prepositional phrases helps in comprehending the structure and meaning of sentences.

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