Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?

Answer:

3,000ft

Step-by-step explanation:

First set up the equation:

Start: 13,000 ft
Middle: 10,000 ft
End: ??

Lindsey started at 13,000ft, dropped 10,000ft, and then the remainder of it is what we are asked to find out. So all we have to do is 13,000 - 10,000 which equals 3,000.

Answer:

The tax rate is 9 dollars and 45 cents.

Step-by-step explanation:

Answer:110.467

Step-by-step explanation:do

Answer:

radical 7<14÷5

bcoz radical 7 is 2.645

and 14÷5 is 2.8

Answer:

-12

Step-by-step explanation:

Substitute x for 3

6(3-5)

Simplify in the parenthesis

6(-2)

multiply

-12

A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

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A function's midline is the horizontal line positioned exactly halfway between its maximum and minimum values.

Trigonometric ratios are based on the side ratio of a right-angled triangle and consist of the values of all trigonometric functions. The ratios of the sides to any acute angle in a right-angled triangle are the trigonometric ratios of that angle. You can use trigonometric ratios to determine the lengths of one (or both) of the acute angles of a right triangle if you know the lengths of its two sides.

given

A function's midline is the horizontal line positioned exactly halfway between its maximum and minimum values.

The midline is the line y = 0 for y = sin (the horizontal axis). The difference between the highest and smallest values of a function is half its amplitude.

The amplitude of the y = sin function is 1.

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Answer: x is 125

Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.

Answer:

y=3x-2

Step-by-step explanation:

Answer:

\(y=3x-2\)

Step-by-step explanation:

points: (0, -2)((1, 1)

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

the ordered to the origin (intercepts the "y" axis): -2

\(y=mx+b\)   m=3, b=-2

\(y=3x-2\)

I hope this help you

Answer:

see below

Step-by-step explanation:

since the given figure is made up of six sides , the sum of all the interior angles can be calculated by the formula,

( n - 2) * 180°

( 6 - 2) * 180°

4 * 180°

720°

now the sum of measures of all the unknown angles would be 720° .So ,

7x - 8 + 4x + 46 + 5x + 6x + 12+ x+7+5x-9 = 720

28x + 48 = 720

28x = 720 - 48

28x = 672

x = 24

Hence ,

and we are done!

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

go to y= and type in the equation then  press 2nd trace  and then press  2 on the left side of the parabola find a point to the left of the x intercept and press enter then find a point to the right of the x intercept  and press enter. then press enter when it ask you to guess  and you have your answer

Step-by-step explanation:

Answer:

Total Number of students taking Math and History and not music are 68.

Number of students who took both math and history at the same time is 6.

Step-by-step explanation:

History = 30

Math = 32

Music= 33

Math and Music= 9

History and Music= 13

History and Music and Math = 2

History but not math = 14

We have to find students taking history and math but not music.

Total number of students = 125

From the figure  number of students taking Math and History and not music are

=30+6+32= 68

Number of students who took both math and history at the same time is 6.

To calculate the earnings per share, we need to divide the company's profit by the number of outstanding shares. The given information includes the company's profit of $117,667,008 and the share price of $56.97.

To determine the earnings per share, we need to know the number of outstanding shares. Since the number of outstanding shares is not provided in the given information, it is not possible to calculate the earnings per share with the given data alone.

The earnings per share (EPS) is calculated by dividing the company's profit by the number of outstanding shares. It represents the portion of the company's profit that is allocated to each outstanding share. By dividing the profit by the number of shares, we can determine how much profit is attributable to each individual share.

However, without the number of outstanding shares, we cannot calculate the exact earnings per share. The market capitalization and current share price do not provide enough information to determine the number of shares outstanding. Additional information, such as the number of shares issued by the company, is needed to calculate the earnings per share accurately.

In summary, the earnings per share cannot be determined with the given information alone. The calculation requires the number of outstanding shares, which is not provided. The earnings per share is a measure of the company's profitability allocated to each share, obtained by dividing the company's profit by the number of outstanding shares. To calculate the earnings per share accurately, the number of shares outstanding must be known.

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Answer:

11 1/2

Step-by-step explanation:

Answer:

It won't carry it safely

Step-by-step explanation:

truck capacity ? load value

5000 gallons ? 600 bushels

5000 gallons < 5585 gallons

600 bushels ie 5585 gallons is larger than 5000 gallons, which is the truck's capacity

All members of set S can be expressed as numbers of the form 2ᵃ3ᵇ, where a and b are non-negative integers.

We will prove by structural induction that all members of set S can be expressed as numbers of the form 2ᵃ3ᵇ, where a and b are non-negative integers.

Base Case:

We start with the base case, where n = 1. In this case, 1∈ S, and we can see that 1 can be expressed as 2⁰3⁰, which is of the desired form.

Inductive Step:

Now, assume that for some positive integer k, if n = k, then k∈ S can be expressed as 2ᵃ3ᵇ for non-negative integers a and b.

We will show that if n = k + 1, then k + 1 can also be expressed as 2ᵃ3ᵇ for non-negative integers a and b.

Case 1: If n = 2k, then we know that 2k∈ S. By the induction hypothesis, we can express 2k as 2ᵃ3ᵇ for some non-negative integers a and b. Now, we can observe that 2k+1 = 2(2k) = 2ᵃ₊₁3ᵇ, which is still of the desired form.

Case 2: If n = 3k, then we know that 3k∈ S. By the induction hypothesis, we can express 3k as 2ᵃ3ᵇ for some non-negative integers a and b. Now, we can observe that 3k+1 = 3(3k) = 2ᵃ3ᵇ₊₁, which is still of the desired form.

Since we have shown that if n = k + 1, then k + 1 can be expressed as 2ᵃ3ᵇ, the proof by structural induction is complete.

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Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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With reference to the provided circle graph, it is possible to infer the statement "Together, Streetcar and Cable Car are the preferred transportation for 210 residents."

These inferences can be made from the circular graph that is provided:

10% of the sample's 500 San Francisco residents, or 50 people, opt to take the bus for transportation, according to the study. In light of this, it is untrue to say that 20 people prefer to take the bus.

8% of the sample of 500 San Francisco residents who use bicycles as their primary mode of transit do so, or 40 people (or 0.08 x 500). As a result, it is untrue to say that 100 residents favour cycling as a mode of transportation.

15% of the sample's 500 San Francisco residents, or 75 individuals, opt to use a streetcar for transportation. Of the sample of 500 San Francisco residents, 27% (or 0.27 x 500 = 135) favour the cable car as their mode of transportation. For a total of 75 + 135 = 210 residents, streetcar and cable car travel is favoured. As a result, it is accurate to say that "Together, Streetcar and Cable Car are the preferred transportation for 210 residents."

40% of the sample of 500 San Francisco residents, or 200 people, favour walking as their mode of transportation. 15% of the sample's 500 San Francisco residents, or 75 individuals, opt to use a streetcar for transportation. For 200 + 75 = 275 residents, Walk and Streetcar together make up their favoured mode of transportation. The claim that "Walk and Streetcar are the preferred modes of transportation for 55 residents" is untrue.

From the provided circle graph, only the conclusion "Together, Streetcar and Cable Car are the preferred transportation for 210 residents" can be made.

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Answer:

(6/5) mph

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

These are cross angles

Answer:

2

Step-by-step explanation:

Answer:

3mm brainliest please

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

9mm times 1:3 of the rectangle is 245

The x-coordinate of the vertex is 0.  the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.

The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.

To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.

Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation  A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.

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Answer:

b on edge 2020

Step-by-step explanation:

The expected value of the random variable representing the number of Connecticut residents with type B blood in the sample of 19 is approximately 2.166 residents.

According to the American Red Cross, 11.4% of all Connecticut residents have type B blood. In your question, a random sample of 19 Connecticut residents is taken, and you want to know the expected value of the random variable representing the number of residents with type B blood in the sample.

To find the expected value of this random variable, you can use the following formula:

Expected Value (E[X]) = n * p

where n is the sample size (19 residents) and p is the probability of having type B blood (11.4%, or 0.114 as a decimal).

E[X] = 19 * 0.114 ≈ 2.166

So, the expected value of the random variable representing the number of Connecticut residents with type B blood in the sample of 19 is approximately 2.166 residents.

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Answer:

7/24

Step-by-step explanation:

this is a very simple problem, you just multiply the fraction by 1/2 to get 7/24

Answer:

0.2916 ; 7/24

Step-by-step explanation:

It's division what is so hard

The area of the sector is derived as follows;

Please note that the final answer has been rounded off to the nearest whole number.

The answer therefore is 205 square millimeters

The probability that she will choose a fruit snacks, put it back and choose a granola bar will be 5/36.

The number of sections that need to be colored purple will be 2.

The probability that she will choose a fruit snacks, put it back and choose a granola bar will be:

= 5/12 × 4 / 12

= 5 / 36

The number of sections that need to be colored purple will be 2. This will be:

= p(head) × P(purple)

= 1/2 × 2/8

= 1/8

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