Charlie deposits $1,000 on the first day of each year into his investment account. The
account grows at a rate of 8 percent per year. To the nearest dollar, how much money will
be in the account on the first day of the 11th year?

$16,645
$14,487
$1.087
$18.977

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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36.75 is the sum of infinite geometric series .

What are geometric series that are finite and infinite?

The total of a finite set of terms is known as a finite series. An infinite series has an infinitely large term count and an infinitely high upper bound. Infinite series include, for instance, n=110(12)n1.

                             The sigma notation is followed by the infinity symbol, which denotes the endless nature of the series.

The formula for the sum of infinite geometric series is

                                  S = a/1 - r

          r - common ratio. |r|<1.

Here, a = first term = 21.

         r - common ratio = 0.4285

        Substituting the values in the formula, we get,

          s = a/1 - r

            = 21/(1 - 0.4285 ) = 21/0.5715

                = 36.75

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the answer is no.

because 47 times 3 gives 141

where 3 is a non-decimal

Answer:

141/47 Is not a repeating decimal.

Step-by-step explanation:

141 ÷ 47 Is not a repeating decimal because 47 × 3 = 141

Answer:

chossing what? every day of the week can be chossen with 1/5 probablity

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two days of the week that starts with S. That's already 2/7. But , we add on Monday and that gives us 3/7

The probability of the day being chosen as Monday or Saturday or Sunday is 3/7.

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Answer:

59.5 feet

Step-by-step explanation:

The second tree is 59.5 feet tall.

Two trees are growing in a clearing.

The first tree is 17 feet tall and casts a 10-foot shadow.

The second tree casts a 35-foot shadow.

Let x be the tall is the second tree.

Then,

The ratio of the height of the tree is;

\(\rm \dfrac{17}{10} = \dfrac{x}{35}\\\\17 \times 35 = x \times 10\\\\595 = 10x\\\\x = \dfrac{595}{10}\\\\x = 59.5 \ feet\)

Hence, the second tree is 59.5 feet tall.

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Answer:

The constant difference is 8

Step-by-step explanation:

-6 + 8 = 2

10 + 8 = 18

Answer:

x=128

Step-by-step explanation:

Answer:128

Step-by-step explanation:

The angles in a trapezoid add up to 360, so if you add all the ones already given then subtract them from 360 you get 128.

That is a question about properties of rhombus.

There is a property of a rhombus that says that the its diagonals divided the internal angles in two equals angles.

Now that we know about it, it is easier to solve this question, because now we know that \(2x+39\) and \(6x - 9\) are equal angles. So, we can make a equation and solve it:

\(2x+39 = 6x - 9\\39 + 9 = 6x - 2x\\48 = 4x\\4x = 48\\x=\frac{48}{4} \\x=12\)

Therefore, the value of \(x\) is 12. So, the correct alternative is letter C).

I hope I've helped. ^^

Enjoy your studies! \o/

Answer:

$142.50

189.99/4 = 47.49

189.99 - 47.49= 142.40

This is the answer if my math is correct.

There are 385 values of n ∈{1,2,... ,500} that are a multiple of one or more of 5, 6, or 7.

To find the number of values of n that are a multiple of 5, divide 500 by 5 and round down: 500/5 = 100. There are 100 values of n that are a multiple of 5.

To find the number of values of n that are a multiple of 6, divide 500 by 6 and round down: 500/6 = 83. There are 83 values of n that are a multiple of 6.

To find the number of values of n that are a multiple of 7, divide 500 by 7 and round down: 500/7 = 71. There are 71 values of n that are a multiple of 7.

However, some values of n are multiples of more than one of 5, 6, or 7. To account for this, we need to add back the values of n that are multiples of 30, 35, 42, and 210 (the least common multiple of 5, 6, and 7).

To find the number of values of n that are a multiple of 30, divide 500 by 30 and round down: 500/30 = 16. There are 16 values of n that are a multiple of 30.

To find the number of values of n that are a multiple of 35, divide 500 by 35 and round down: 500/35 = 14. There are 14 values of n that are a multiple of 35.

To find the number of values of n that are a multiple of 42, divide 500 by 42 and round down: 500/42 = 11. There are 11 values of n that are a multiple of 42.

To find the number of values of n that are a multiple of 210, divide 500 by 210 and round down: 500/210 = 2. There are 2 values of n that are a multiple of 210.

Add the values from steps 1-3 and subtract the values from steps 5-8 to get the final answer: 100 + 83 + 71 - 16 - 14 - 11 - 2 = 385.

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Answer:

x = 11/9

Step-by-step explanation:

Answer:96

Step-by-step explanation: 192/2= 96

i think

Answer:

$70 >= $61.50 + $5x

Step-by-step explanation:

With the values provided the only variable would be the number of gigabytes. Since Hunter does not want to spend more than $70 then the value of the amount of money he is paying for gigabytes plus the flat cost needs to be less than or equal to $70. Therefore, the following inequality would represent this scenario best...

$70 >= $61.50 + $5x

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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Answer:

Area of a circle= 1/4*π d^2

A=1/4*π*12^2=

A=1/4*π*144=113.1

Step-by-step explanation:

Hope this helps!! :)). Mark me brainliest! :))

Answer:

plz show the figure clearly

Answer:

Zane's

Step-by-step explanation:

This is a tricky question though.

5/6 is greater than 1/6 , but if their businesses are different sizes it could matter. 5/6 of a small business could be less than 1/6 of a huge business.

Answer:

$14

Step-by-step explanation:

28/2 = 14

Answer:

Step-by-step explanation:

To make x the subject, isolate x

7x + 8f = E

Subtract 8f from both sides

7x = E - 8f

Divide both sides by 7

\(x =\frac{E-8f}{7}\)

Answer:

x = \(\frac{E-8f}{7}\)

Step-by-step explanation:

Given

E = 7x + 8f ( subtract 8f from both sides )

E - 8f = 7x ( isolate x by dividing both sides by 7 )

\(\frac{E-8f}{7}\) = x

Answer: 45 holes

Step-by-step explanation:

       If the short side is half the length of each longer side, then the longer sides are 18 ft long (9 ft * 2).

       Let us find the perimeter of the triangle:

9 ft + 18 ft + 18 ft = 45 ft

       Now, there is a hole every 1 ft.

45 ft / 1 ft = 45 holes

The answer is A = (1, 0, 0), (0, 1, 0), (0, 0, 1), and b = (1, 1, 1) because if we are looking for a 3×3 matrix A, with nonzero entries, and a vector b in ℝ³ such that b is not in the set spanned by the columns of A, we should set A as the identity matrix and b as (1, 1, 1).

If we construct the matrix A as the identity matrix with b as (1, 1, 1), then b = (1, 1, 1) is not in the span of the columns of A.

Therefore, a possible solution is A = (1, 0, 0), (0, 1, 0), (0, 0, 1), and b = (1, 1, 1).

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The equation 6/sin(8x) = 2 represents all the solutions in degrees. To solve this equation, we can start by isolating the sine term.

1. Multiply both sides of the equation by sin(8x) to get rid of the denominator:
  6 = 2 * sin(8x)

2. Divide both sides of the equation by 2 to solve for sin(8x):
  sin(8x) = 6/2
  sin(8x) = 3

Now, we need to find the values of x that make sin(8x) equal to 3.

Since the sine function has a range of -1 to 1, there are no real solutions to this equation. This means that there are no values of x that satisfy sin(8x) = 3.

Therefore, the expression 6/sin(8x) = 2 has no solutions in degrees.

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Answer: (-1,-1)

3rd option

Step-by-step explanation:

Answer as a fraction: x = 7/2

Answer as a decimal: x = 3.5

=====================================================

Work Shown:

n = sample size = number of values

n = 7

S = sum of the values

S = 5 + 7 + 2 + 6 + (x+1) + (x) + 7

S = 2x+28

Dividing S over n will get us the average, which in this case is 5

S/n = average

(2x+28)/7 = 5

2x+28 = 7*5

2x+28 = 35

2x = 35-28

2x = 7

x = 7/2 which is the answer in fraction form

x = 3.5 which is the answer in decimal form

The decimal value is exact without any rounding.

Answer:

3.5

Step-by-step explanation:

So the average of numbers can be defined as: \(average=\frac{sum}{amount}\)

In other words, (the sum of numbers) / (the amount of numbers)

In our case, there is 7 numbers. The sum can be written as: \(5+7+2+6+x+(x+1)+7\)

Adding like terms we get: \(28+2x\)

Now combing the sum and amount we get the fraction: \(\frac{28+2x}{7}\)

Since we're given the average, we can set that equal to our expression to solve for x:

\(5=\frac{28+2x}{7}\)

No all we do is use some basic algebraic properties

Original Equation:

\(5=\frac{28+2x}{7}\)

Multiply both sides by 28

\(35 = 28+2x\)

Subtract 28 from both sides

\(7=2x\)

Divide both sides by 2x

\(3.5=x\)

Answer:

B

Step-by-step explanation:

Look at the figures below.

Figure A.

The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.

Figure B.

The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.

Figure C.

The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.

Answer:

m = 1/2

Step-by-step explanation:

\(m = \frac{ - 2 - ( - 3)}{0 - ( -2)} = \frac{1}{2} \)

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Answer:

x = 11

Step-by-step explanation:

Here we want to calculate the value of x

From the information we are given, we have two interior angles which add up to give an exterior angle

In this case;

4x - 17 = x - 4 + x + 9

4x - 17 = 2x + 5

4x-2x = 5 + 17

2x = 22

x = 22/2

x = 11

Answer:

x = -6

I hope this helps!