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A bag of marbles had 24 white marbles and the rest were blue. For a game, 5/6 of the white marbles were chosen, and 25 of the blue marbles were also chosen.
Use this information to answer the questions below.

If not enough information is given to answer a question, click on "Not enough information."

(a) How many of the bag's white marbles were not chosen?

(b) How many of the bag's white marbles were chosen?

(c) How many blue marbles were in the bag before the game?

Answers

Answer 1

Answer:

Step-by-step explanation:

We know that there are 24 white marbles in the starting.

a. How many were not chosen. => 1/6 of the white marbles.

1/6 * 24 = 4 marbles were not chosen.

b. 24 - 4 = 20 marbles were chosen

c. Not enough Info

Answer 2

Answer:

4,20,not enough info

Step-by-step explanation:


Related Questions

Find a curve that passes through the point (1,5) and has an arc length on the interval [2,6] given by:
6
S2 V1 + 16x dx.

Answers

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx = 6S²V1 + 16x dx. To solve this equation, we need additional information about the curve, such as a boundary condition or another equation that relates f(x) and f'(x).

To find a curve that passes through the point (1, 5) and has an arc length on the interval [2, 6] defined by the expression 6S²V1 + 16x dx, we can follow these steps:

Step 1: Determine the general form of the curve equation.

Step 2: Use the arc length formula to obtain an equation involving the curve's equation.

Step 3: Solve the resulting equation to find the specific curve.

Let's proceed with each step:

Step 1: Determine the general form of the curve equation.

Let's assume the curve equation is y = f(x), where f(x) represents the unknown function describing the curve.

Step 2: Use the arc length formula to obtain an equation involving the curve's equation.

The arc length formula for a curve defined by y = f(x) is given by:

S = ∫[a,b] √(1 + (f'(x))²) dx

We are given that the arc length on the interval [2, 6] is defined by the expression 6S²V1 + 16x dx. Substituting the formula for arc length, we have:

6∫[2,6] (√(1 + (f'(x))²))²dx + 16∫[2,6] x dx

Simplifying, we get:

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx

Step 3: Solve the resulting equation to find the specific curve.

Since the expression 6S²V1 + 16x dx represents the arc length on the interval [2, 6], we need to equate it to the arc length formula obtained in Step 2.

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx = 6S²V1 + 16x dx

To solve this equation, we need additional information about the curve, such as a boundary condition or another equation that relates f(x) and f'(x). Without such information, it is not possible to determine the specific curve. Please provide additional constraints or information if available to proceed further in finding the specific curve.

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A coach ordered 20 practice jerseys for her soccer team. Six of the jerseys she ordered arrived late. What decimal represents the fraction of jerseys that arrived late?

Answers

Answer: 0.3

Step-by-step explanation:

There are 20 practice jerseys in total.

Six of those 20 jerseys arrived late.

The fraction of jerseys that arrived late is therefore:

= 6 / 20 jerseys

Convert them to decimal form by dividing the numerator with the denominator:

= 6 ÷ 20

= 0.3

Kora and Wallace planted a garden bed the size of the red square. How big is their garden bed? (Finding the area)

Answers

Answer: no sol

Step-by-step explanation:

bro there is no pic to do so  im just going to say...

it is 20 miles from the airport to the hotel. The driver says that there is 1/8 of the total distance left to travel. What distance has already been driven?

Answers

Answer:

2.5mi

Step-by-step explanation:

?/20 = 1/8

^ If you turn into a percentage you get 1/8 = 12.5%

so now the question is v

what is 12.5 percent of 20?

which is 2.5

I WOULD CHECK FIRST, NOT 100 PERCENT SURE

A study was run to determine if more than 30% of Cal State East Bay students work full-time. A random sample of 100 Cal State East Bay students had 36 work full-time. The p-value was found to be 0.0952. Group of answer choices There is a 9.52% chance that a random sample of 100 Cal State East Bay students would have more than our sample's 36 working full-time. There is a 9.52% chance that a random sample of 100 Cal State East Bay students would have more than our sample's 36 working full-time if exactly 30% of Cal State East Bay students work full-time. There is a 9.52% chance that a random sample of 100 Cal State East Bay students would have the same as our sample's 36 working full-time if exactly 30% of Cal State East Bay students work full-time. There is a 9.52% chance that a random sample of 100 Cal State East Bay students would have more than 30% working full-time.

Answers

The correct option id D. There is a 9.52% chance that a random sample of 100 Cal State East Bay students would have more than our sample's 36 working full-time

A study was conducted to determine if more than 30% of Cal State East Bay students work full-time.

The sample of Cal State East Bay students selected was random.

Out of 100 students, 36 were found to be working full-time.

The p-value was calculated to be 0.0952.

The probability of having more than 36 Cal State East Bay students working full-time out of a random sample of 100 students is 9.52% if exactly 30% of Cal State East Bay students work full-time.

Therefore, it is concluded that the null hypothesis cannot be rejected.

The p-value is greater than 0.05 which shows the significance level.

Hence, we accept the null hypothesis.

The null hypothesis states that the proportion of Cal State East Bay students who work full-time is not greater than 30%.

The alternate hypothesis states that the proportion of Cal State East Bay students who work full-time is greater than 30%.

The test is a right-tailed test.

The sample proportion is p = 0.36. The test statistic is given as Z = (p - P0) / √ [P0 (1 - P0) / n]Z = (0.36 - 0.30) / √ [(0.30) (0.70) / 100] = 1.76The p-value is given as 0.0392.

Since the p-value is less than 0.05, we can reject the null hypothesis.

Thus, we can conclude that more than 30% of Cal State East Bay students work full-time.

Hence, option D is the correct answer.

There is a 9.52% chance that a random sample of 100 Cal State East Bay students would have more than 30% working full-time.

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3333 divided by 77. i really need help

Answers

Answer:

43.2857142857

plz mark me as brainliest

Answer:

476.142857143

Step-by-step explanation:

QUICK! WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST

Answers

what is the question?

A biweekly compounding will generate a higher annual percentage yield ( APY )

than a monthly compounding .

True

False

Answers

True. A biweekly compounding will generate a higher annual percentage yield (APY) than a monthly compounding.

True. A biweekly compounding frequency will generate a higher annual percentage yield (APY) compared to a monthly compounding frequency. The APY takes into account the effect of compounding on the total return of an investment over a year.

Biweekly compounding means that interest is calculated and added to the account balance every two weeks, resulting in more frequent compounding periods throughout the year. This more frequent compounding leads to the accumulation of interest on a larger balance, thus generating a higher APY.

On the other hand, monthly compounding occurs once a month, resulting in fewer compounding periods and a lower overall APY. Therefore, for the same nominal interest rate, a biweekly compounding schedule will yield a higher APY compared to a monthly compounding schedule.

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The number of claims follows a negative binomial distribution with parameters β and r, where β is unknown and r is known. You wish to estimate β based on n observations, where xˉ is the mean of those observations. Determine the maximum likelihood estimate of β.
(a) xˉ/r2
(b) xˉ/r
(c) xˉ
(d) rxˉ
(e) r2xˉ

Answers

Since s = Σ(xi - x) / n is the sample variance therefore,

Option (a) x/r is correct.

To find the maximum likelihood estimate of β,

We need to maximize the likelihood function L(β) with respect to β.

The likelihood function for a negative binomial distribution with parameters β and r, given n observations with mean x, is,

⇒ L(β) = (Γ(r+n)/Γ(r)n!)  (β^r / (β+x)^r+n) ∏([tex]x_i[/tex]+x)/(([tex]x_i[/tex]+β)^r+1

where Γ is the function and ∏ denotes the product over all n observations xi.

Taking the natural logarithm of the likelihood function, we get,

⇒ ln L(β) = ln(Γ(r+n)) - ln(Γ(r)) - ln(n!) + r ln(β) - (r+n) ln(β+x) + Σ ln(xi+x) - Σ ln(xi+β) - (r+1)Σ ln(xi+x)

To find the maximum likelihood estimate of β,

we take the derivative of ln L(β) with respect to β,

set it equal to zero, and solve for β,

⇒ d/dβ ln L(β) = r/β - (r+n)/(β+x) + Σ 1/(xi+β) - (r+1)Σ 1/(xi+x) = 0

We can solve this equation numerically using iterative  methods, but we can also simplify it by using the fact that when the derivative of a function equals zero, the function is at a maximum or minimum.

Multiplying both sides of the equation by β(β+x), we get.

⇒ r(β+x) - (r+n)β + β(β+x)Σ 1/(xi+β) - (β+x)(r+1)Σ 1/(xi+x) = 0

Simplifying and solving for β, we get,

⇒ β = x(r+n-1) / (Σ 1/(xi+β) - (r+1)Σ 1/(xi+x))

We can use an iterative method to solve for β, starting with an initial estimate of β and updating it until convergence.

One common method is to use the Newton-Raphson algorithm.

After some algebraic manipulations,

we can show that the maximum likelihood estimate of β is,

⇒ B =  x(r / s - 1)

Here s = Σ( - x) / n is the sample variance of the n observations. Therefore, the correct option is (a) x/r.

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How can this expression be written another way?
32k + 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes
32k + 24 = __ (__)

Answers

32k + 24 = 8 (4k + 3)

Hope this helps

Does anyone know this one?

Answers

Answer:

-3

Step-by-step explanation:

(-5) - (-2) = (-3)

hope it helps

Answer:

there is a three degree difference between san Diego and Los Angeles

You have two unknown integers. Double the larger integer increased by triple the smaller integer is 46. Squaring the larger number and increasing it by four times itself gives the same result as multiplying the smaller number by 20 and adding 5. Use a system to solve for the integers by graphing

Answers

The two unknown integers can be found by graphing the given equations. The larger integer is 10, and the smaller integer is 8.

Let's represent the larger integer as 'x' and the smaller integer as 'y.' According to the given information, we have two equations:

Equation 1: 2x + 3y = 46

Equation 2: x^2 + 4x = 20y + 5

To solve this system of equations, we can graph both equations on the same coordinate plane. The point where the two graphs intersect will give us the values of 'x' and 'y' that satisfy both equations simultaneously.

For equation 1, we rearrange it to y = (46 - 2x)/3. Plotting this equation on the graph, we see a straight line.

For equation 2, we rearrange it to x^2 + 4x - 20y - 5 = 0. Plotting this equation, we get a quadratic curve.

By examining the graph, we can see that the two lines intersect at a point where 'x' is approximately 10 and 'y' is approximately 8. Therefore, the larger integer is 10, and the smaller integer is 8.

By substituting these values back into the original equations, we can verify that they satisfy both equations.

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CAN SOMEONE HELP AND EXPLAIN WHAT TO DO PLEASEEEEEEEEEEEEEE

Answers

Answer:

a. 19 Questions

b. No, Collins grade was 81%, or B-minus :(

Step-by-step explanation:

There are 21 questions in total on the test. Collin wants a 90 percent at least. If you multiply 21 by 90 percent (as below), you will get 18.9

[tex]21 * .9\\=18.9[/tex]

Of course, you can't get 18.9 questions right (unless you're teacher gives .9 extra points lol, So we need to round UP to a whole number (don't round down because it'll give you a number lower than what 90 percent would equate to.

And, Collin got 17 questions right. That's equivalent to 81 percent of 21 (as below).

[tex]17 / 21\\=.8095[/tex]

This rounds to about 81%, meaning Collin did not reach his goal :(. Oh well, he'll just have to try harder next time!

Have a nice day, fam.

_______1. What is 22% of 10?



_______2. 16% of 30 is ______.



_______3. 25 percent of 50 is ______.



_______4. What is 65% of 300



_______5. Find 10% of 450


A. 195


B. 45

C. 4.8


D. 12.5


E. 2.2
Pa sagot po pls​

Answers

Answer:

1. 22% of 10 = 2.2

2. 16% of 30 = 4.8

3. 25% of 50 is 12.5

4. 65% of 300 = 195

5. 10% of 450 = 45

HAHA, I KNEW IT!!!

HOPE THIS HELPS!!!!

MARK AS BRAINLIEST (probably)

GIVE 5 STARS PLEASE

Answer:

E  -  2.2C  -  4.8D  -  12.5A  -  195B  -  45

Step-by-step explanation:

For each questions, multiply the whole number by the percentage.

Or, change each percentage by getting rid of the percentage sign and dividing by 100.

EX : 65% = .65   or   22% = .22

10 x .22 = 2.2

There are 244 seventh grade students. The number of students enrolled in P.E. Is 8 fewer than three times the number of students enrolled in health

Answers

Answer:

No. of students enrolled in Health = 63

No. of students enrolled in P.E. = 181

Step-by-step explanation:

Given,

Total students in grade seven = 244 students

A.T.Q.

Let the number of students enrolled in Health be x

so, The number of students enrolled in P.E. = 3x - 8

As we know,

x + (3x - 8) = 244

4x = 244 + 8

x = 252/4

x = 63

Thus, the number of students enrolled in Health = 63

The number of students enrolled in P.E. = 3x - 8

= 3 * 63 - 8

= 189 - 8

= 181 students

Find the value of $x$ .

A circle with center Q has four points L, M, N, and P lie on the circle. Diameter L N and chord M P intersect perpendicularly. The diameter divides the chord M P into two parts with measures 5 x minus 6 and 2 x plus 9.

Answers

Answer:

What

Step-by-step explanation:

I dont understand what you are asking

How do I find degrees of monomials?

Answers

Finding the degrees of monomials are actually really easy!

Here's how you know:
Some examples:

6y^4 Degree is 4. y to the 4th power.


65pq^3y^2 p is to the power of 1, q is power of 3, y is to the power of 2
so, 1+3+2=6
Degree: 6



18x^2y^5z
Here you see a 2, 5, and 1 because z to the first power is z.
2+5+1=8
Degree:8

--->Remember, this is just the sum of exponents of the variables

John flew a kite. He started flying the cat at 2:20 p.m. and ended at 3:14 p.m. How many minutes did John fly a kite?

A. 47 minutes
B. 50 minutes
C. 54 minutes
D. 55 minutes ​

Answers

Answer:

54 minutes

Step-by-step explanation:

3:14 = 3 × 60 = 180 + 14

= 194

2:20 = 2 × 60 = 120 + 20

= 140

194 - 140

= 54

Please awnser correctly! I will mark you as Brainliest!

Answers

Answer: 3072 ft

The equation to find volume is V=1/3BH

#1 someone help me with this question pls ??

Answers

Answer:

58-51

why to have the speed of a cucumber you need a potato on a skateboard at 1000kmh, ok?

Answer: 4 I think

on each side it has 4

Just need the answer thank you

Answers

Answer:

The multiplicative rate of change is 3/4

Step-by-step explanation:

Here, we want to get the multiplicative rate of change

In this case, by dividing the succeeding term by the preceding term, we will get the multiplicative rate of change

mathematically, we have this as;

81/128 divided 27/32

= 81/128 * 32/27

= 3/4

Solve by completing the square.
x2 - 4x – 20 = 0

A. x = {-2±6√2}

B. x = {2+6√2}

C. x = {2+2√6}

D. x = {-2±2√6}

Show your work.​

Answers

Step-by-step explanation:

Subtract

20

from both sides of the equation.

x

2

4

x

=

20

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

2

)

2

Add the term to each side of the equation.

x

2

4

x

+

(

2

)

2

=

20

+

(

2

)

2

Simplify the equation.

Tap for more steps...

x

2

4

x

+

4

=

16

Factor the perfect trinomial square into

(

x

2

)

2

.

(

x

2

)

2

=

16

Solve the equation for

x

.

Tap for more steps...

x

=

2

±

4

i

Which of the following answers matches “The quotient of 9 and the sum of the quantities 5 and product of 8 and x.”

Answers

Answer:

I believe this is the answer  9/(5 + 8x)

Here is a graph of a quadratic function f(x). What is the minimum value (y-value only) of f(x)?

Answers

Answer:

Zero.

Step-by-step explanation:

The minimum value  is where the function touches the x axis , at y = 0.

Here's a easy one
Not accepting links!

Answers

Wwhhaatt??? I have no idea what your question is.

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

it does not form a triangle

Step-by-step explanation:

brainliest give me pls pls pls

Answer:

It forms a obtuse triangle

Step-by-step explanation:

Because two sides are the same.

Hila found the data at the left that shows the number of ways that each sum can be obtained when rolling three dice. a) Determine the mean and the standard deviation. b) Draw a frequency polygon to show the data. c) Does the data have a normal distribution? Explain. Rolling 3 Dice Sum Frequency 3 1 4 3 5 0 6 6 10 7 15 8 21 9 25 10 27 11 27 12 25 13 21 14 15 15 10 16 6 17 3 18 1

Answers

a) The mean and standard deviation need to be determined for the given data on the number of ways each sum can be obtained when rolling three dice.

b) A frequency polygon can be drawn to represent the data.

c) Whether the data has a normal distribution or not needs to be determined, and an explanation is required.

a) Mean and Standard Deviation: The mean can be calculated by summing up the products of each value and its corresponding frequency, then dividing by the total frequency. The standard deviation can be calculated by finding the square root of the variance, where the variance is the sum of the squared differences between each value and the mean, divided by the total frequency.

b) Frequency Polygon: A frequency polygon can be plotted by taking the sum values on the x-axis and the corresponding frequencies on the y-axis. Points are plotted for each sum value, and then lines are drawn to connect these points to form the polygon.

c) Normal Distribution: To determine if the data follows a normal distribution, one can visually analyze the frequency polygon. If the polygon displays a symmetric, bell-shaped curve, it suggests a normal distribution. However, if the polygon is skewed or does not exhibit a bell shape, the data is unlikely to have a normal distribution.

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Use the method of undetermined coefficients to solve the initial value problem below. y'' + 7y=7 sin (√7t), y(0) = 8, y'(0)=√7 19 2 y =

Answers

The general solution to the initial value problem is:

y(t) = y_c(t) + y_p(t)

= 8 cos(√7t) + cos(√7t)

To solve the initial value problem using the method of undetermined coefficients, we assume a particular solution of the form:

y_p(t) = A sin(√7t) + B cos(√7t)

where A and B are constants to be determined.

Taking the first and second derivatives of y_p(t), we have:

y'_p(t) = A√7 cos(√7t) - B√7 sin(√7t)

y''_p(t) = -A(√7)^2 sin(√7t) - B(√7)^2 cos(√7t)

Substituting these derivatives back into the differential equation, we get:

(-A(√7)^2 sin(√7t) - B(√7)^2 cos(√7t)) + 7(A sin(√7t) + B cos(√7t)) = 7 sin(√7t)

Simplifying, we have:

(-A(√7)^2 + 7A) sin(√7t) + (-B(√7)^2 + 7B) cos(√7t) = 7 sin(√7t)

To satisfy this equation for all t, the coefficients of sin(√7t) and cos(√7t) must be equal to the corresponding coefficients on the right side.

Therefore, we have the following system of equations:

-A(√7)^2 + 7A = 0 (coefficient of sin(√7t))

-B(√7)^2 + 7B = 7 (coefficient of cos(√7t))

Solving these equations, we find:

A = 0

B = 1

So, the particular solution is:

y_p(t) = cos(√7t)

To find the general solution, we need to find the complementary solution by solving the homogeneous equation:

y'' + 7y = 0

The characteristic equation is:

r^2 + 7 = 0

Solving this quadratic equation, we find two complex roots:

r₁ = √7i

r₂ = -√7i

The complementary solution is then:

y_c(t) = C₁ cos(√7t) + C₂ sin(√7t)

where C₁ and C₂ are constants to be determined.

Using the initial conditions y(0) = 8 and y'(0) = √7, we can substitute these values into the general solution and solve for C₁ and C₂.

y(0) = C₁ cos(0) + C₂ sin(0) = C₁ = 8

y'(0) = -C₁√7 sin(0) + C₂√7 cos(0) = C₂√7 = √7

Therefore, C₁ = 8 and C₂ = 1.

The general solution to the initial value problem is:

y(t) = y_c(t) + y_p(t)

= 8 cos(√7t) + cos(√7t)

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(6/-7)/(3/11)
6/-7 divided by 3/11

Answers

Answer:

-22/7

Step-by-step explanation:

To divide fractions, we multiply by the reciprocal:

(6/-7)/(3/11)

(6/-7)(11/3)

66/-21

22/-7

-22/7

Therefore, your simplifed answer is -22/7

Answer:

36/49

Step-by-step explanation:

108/49/3

=108/147

=36/49

Convert 13,000,000,000,000,000,000,000,000 to scientific notation.

Answers

Answer:

1.3 times 10 to the 25th power

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

Hi! The answer to your question is 1.3 x [tex]10^{25}[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Other Questions
Question 1aAssume you are the Director of Marketing for Majjus Enterprise, a firm that produces a new product called African Solar. Your company sells to two distinct geographical markets-East Legon and Nima. Majjus Enterprise is described as a monopolist and has the possibility of discriminating between its East Legon and Nima Markets. In order to derive the maximum profit from the production process, you engaged the services of an Econometrician, who estimated the demand functions for both East Legon and Nima markets to be:Q1 = 24 0.2P1 East Legon MarketQ2 = 10 0.05P2 Nima MarketWhere Q1 and Q2 are the respective quantities of African Solar demanded in the East Legon and Nima markets and P1 and P2 are their respective prices (in GH). If the Total Cost (TC) of Majjus Enterprise for producing African Solar for these two markets is given as TC = 35 + 40Q, where Q = Q1 + Q2.ii. What business advice will you give in respect of practicing price discrimination or selling a uniform price? During the taking of its physical inventory on December 31, 2014, Barry's Bike Shop incorrectly counted its inventory as $225,198 instead of the correct amount of $172,927. The effect on the balance sheet and income statement would be Oa. sets overstated by $52,271, retained earnings understated by $52,271; and net income statement understated by $52,271 Ob. assets overstated by $52,271; retained earnings understated by $52,271; and no effect on the income statement The general fund budget (in billions of dollars) for a U.S. state for 1988 (period 1) to 2011 (period 24) follows. Budget ($ billions) Year 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 for the purpose of extinguisher selection and placement, a woodworking shop is a(n) __________ hazard environment. A 30-year, 6% annual coupon bond was issued 10 years ago. If the yield to maturity is 9%, what is the market price of this bond? (10 points)Kiddy and Kat, Inc. offers 30-year, 10% semiannual coupon bond. If the yield to maturity is 11%, the bond price should be quoted as what percentage of the par value? (10 points)Borderline Co. has 7% semiannual coupon bonds outstanding with 10 years to maturity. The current price of these bonds is quoted as 98.25% of the par value. What is the yield to maturity? Choose the correct statement. A. Real GDP per person is real GDP divided by the population B. Potential GDP per person grew faster in the 1970s than in the 1960s. C. Potential GDP per person grows at a constant rate. D. Real GDP per person in Canada in 2016 was four times larger than in 1961. Recently, More Money 4U offered an annuity that pays 6.0% compounded monthly. If $1,432 is deposited into this annuity every month, how much is in the account after 10 years? How much of this is interest? Type the amount in the account: (Round to the nearest dollar.) 4 A radio mast of height5 m is anchored to the ground by a6.25 m long cable. The cable is anchored to a point3.75 m from the base of the mast.Is the mast vertical? Explain your answer. An earth satelite moves in a circular orbit at a speed of 5500 m/sPart AWhat is its orbital period?Express your answer in hours to two significant figures. the issuance of common stock for cash would be reported on a statement of cash flows as a (an): select one: a. cash inflow under the financing activities b. cash outflow under the financing activities c. cash inflow under the investing activities d. activity that would not be reported on a statement of cash flows In the odyssey, what roles are played by the female characters you encountered describe some of these female characters their traits and the roles they played with in the selections especially considering all of the selections had a male characters as protagonists. 4 specific examples please factor 4x2 4x 1. question 7 options: a) (2x 1)(2x 1) b) (2x 1)(x 1) c) (4x 1)(x 1) d) 4(2x 1)(x 22) true/false. new york is known as ""the city that never sleeps"". suppose the amount of sleep (in hours) is nearly normal. 1. A portfolio of 500 million at the beginning of 2020 grew to 600 million by the end of December 2020 and to 630 million by the end of 2021. What is the geometric annual return of the portfolio?a. 12.25%b. 13%c. 12.75%d. 12.5%2. A stock investment of 100 million became 150 million in one year. Satisfied with the fifty percent return, the investor added 250 million to become 400 million in the beginning of second year. What is the money weighted return if the investment grew to only 410 million by the end of second year?a. 13.0%b. 26.3%c. 12.0%d. 24.0% "why do they keep changing my medication? it seems like every time i come back to the doctor after a round of chemo has ended, they change what they give me." how would you best respond? Write the equilibrium constant expression for this reaction: exercise 5.5. the previous exercise showed that (n) could be as small as (about) n/ log log n for infinitely many n. show that this is the "worst case," in the sense that (n) = (n/ log log n). An electronics plant's production function is Q = 10KL, where Q is its output, L is the amount of labor it uses per period, and K is the amount of capital it uses per period. The price of labor is $52 per unit of labor, and the price of capital is $94 per unit of capital. The firm's vice president for manufacturing hires you to determine which optimal combination of inputs the plant should use to produce 12,220 units of output per period. a. What advice would you give him for the optimal combination of inputs? b. Suppose the price of labor decreases to $46 per unit. What effect will this have on output per unit of labor?c. Is this plant subject to decreasing returns to scale? Why or why not? Which of the following is NOT one of the five types of processes associated with denudation.erosiontransportationdepositionsloping 500 words essay about how can we make ASEAN more inclusive