If you deposit $3,000 at 2.5% compounded continuously, what would your ending balance after 4 years?

Answer:

Thats an octagon

Step-by-step explanation:

It has 8 sides

a) The expected return for stocks a and b is 13.56% and 20.02% respectively.

b) The standard deviation for stocks a and b are 8.32% and 32.60%.

a) Expected return = Probability of recession × Return during recession + Probability of normal × Return during normal + Probability of boom × Return during boom

Expected return for stock A = 0.21 × 0.04 + 0.61 × 0.12 + 0.18 × 0.30

The expected return for stock A = 0.1356

The expected return for stock A = 13.56%

Expected return for stock B = 0.21 × (-0.41) + 0.61 × 0.31 + 0.18 × 0.54

The expected return for stock B = 0.2002

The expected return for stock B = 20.02%

b) Standard deviation of stock = √{Probability(Recession) × (Rate during recession - expected rate )² + Probability(Normal)(Rate during normal - expected return)² + Probability(Boom) × (Rate in boom - Expected return)²}

Standard deviation of stock A = √[(0.21 × (0.04-0.1356)² + 0.61 × (0.12 - 0.1356)² + 0.18 × (0.30-0.1356)²)]

The standard deviation of stock A = 0.0832

The standard deviation of stock A = 8.32

Standard deviation of stock B = √(0.21 × (-0.41-0.2002)² + 0.61(0.31 - 0.2002)² + 0.18 × (0.54-0.2002)²)]

The standard deviation of stock B = 0.3260

The standard deviation of stock B = 32.60%

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Answer:

c. 22

Step-by-step explanation:

Let x = Tata's age and y = Kaka's age.

x - 10 = y

x+3 + y+3 = 40

Now, we can substitute in x - 10 for y.

x + 3 + (x - 10) + 3 = 40

so 2x = 44

x = 22

Therefore, Tata's current age is 22.

The true mean sleep time of the population is believed to fall between 6.03 and 6.97 hours at the 96 percent confidence level based on Aaron's sample.

Based on his sample, Aaron computed t* to be 2.22. The t-value may be used to construct the confidence interval as follows:

Mean ± t* (standard error) Where the standard error is the standard deviation divided by the square root of the sample size.

Mean = 6.5

Standard deviation = 2.14

Sample size = 101

t* = 2.22

Standard error = standard deviation / sqrt (sample size)

= 2.14 / sqrt (101) = 0.21

The confidence interval may now be computed as follows:

6.5 ± 2.22 (0.21)

6.5 ± 0.47

= (6.03, 6.97)

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Answer:

A

Step-by-step explanation:

36 divided by 4 is 9 than you multiple that by 3 which is 27.

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

An equation is a hyperbola when the locus of a point whose difference in the distances from two fixed points has a constant value.

A hyperbola is a type of smooth curve lying in a plane that is depicted by the geometric properties or by equations for which it is the solution set.

In this case, an equation is a hyperbola when the locus of a point whose difference in the distances between two fixed points has a constant value.

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Answer:

(8, -2)

Step-by-step explanation:

It is reflected over the X axis

Because 8 is an x coordinate, it will not be changed. And because 2 is not an X coordinate it will be reversed, or turned to negative

Answer:

it b

Step-by-step explanation:

Answer: y = 2x - 1/2

Step-by-step explanation:

1. graph the first line

2. shift it down enough to get the correct y intercept

3. keep the slope the same

4. done

Answer:

13

Step-by-step explanation:

To find the distance, d, between two points on the Cartesian plane use the distance formula.

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

The points are (3, -4) and (8, 8), so you can use:

x1 = 3

y1 = -4

x2 = 8

y2 = 8

Now plug in all values above in the formula and evaluate it.

\( d = \sqrt{(8 - 3)^2 + [8 - (-4)]^2} \)

\( d = \sqrt{(5)^2 + (8 + 4)^2} \)

\( d = \sqrt{25 + (12)^2} \)

\( d = \sqrt{25 + 144} \)

\( d = \sqrt{169} \)

\( d = \sqrt{13} \)

Answer:

8*2(16*2)=32  hours

Step-by-step explanation:

Answer: 6

Step-by-step explanation: The way to solve this problme is to move backwards. Instead of adding you would subtract the number after the equal sign and whatever number before. It's kind of like a fact family!

10-4=6 so the answer is 6.

I hope this help you out, have an awesome day! :)

Answer:

Step-by-step explanation:

\(x_1 , y_1 = (3,3) \\

m= -1\)

Put information in Slope-intercept form :

\(y-y_1=m(x-x_1) \\ y - 3 = - 1(x - 3) \\ y - 3 = - x + 3\)

Collect like terms and simplify

\(y = - x + 3 + 3 \\ y = - x + 6\)

Answer: x=19

Step-by-step explanation:

x+45=64

Subtract 45 from both sides.

x=64−45

Subtract 45 from 64 to get 19

x=19

answer

X=19

Step-by-step explanation:

because 64-45= 19 and 19+45=64

When we multiply by 10 and when we add 5 then always last digit of that number is always 5.

Let's suppose a number  i am thiking as x which is greater than 0.

(2*x+1)*5

10*x + 5

Teach that when you multiply by 10, you simply shift the digits one place to the left. A zero is used as a place holder. For example, when you multiply 3×10, you shift the digits one place to the left and get a product of 30. When you multiply 6×10, you shift the digits one place to the left to get the product of 60.

The operation to find the total of different values is called addition. Let us know some facts about addition which will help us to learn to add 4-digit and 5-digit numbers.

We can see 10*x is always ends with 0 and when we add 5 into it we always get 5 in last.

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Answer:

your answer to the question is 40%

Answer:

5,580

Step-by-step explanation:

Rectangle: 36x30x60=6480

Triangle: 1/2x15x20x6=900

6480-900=5,580

The foam are used to package this product is cubic centimeters.

The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.

Area of rectangular prism = 2(length x width + length x height + width x length)

Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)

= 10080 cubic centimeters

Let's find the base area:

The formula to find the base area is,

B = ½bh

Triangle area = 1/2 x 15 x 20 x 6

Triangle area = 900

10080 - 900 = 9180

Hence, the foam are used to package this product is cubic centimeters.

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Answer:

c=2r

divide both sides by 2

c/2=r

if you forgot the pi

c=2pir

divide by 2pi

c/(2pi)=r

Step-by-step explanation:

Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €

Interés = Principal × Tasa de interés × Tiempo

Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:

Interés = 18,000 € × 0.08 × 5

Interés = 7,200 €

Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.

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Answer:

126

Step-by-step explanation:

72/4=18 hot dogs sold per day

18*7=126 hot dogs in a week.

6/23 is the value of x that ensures that the equation 23x + 5 = 11 holds true. The solution to this problem cannot be found in the available selections since none of the answer possibilities match this value.

We must find x in order to determine what value of x results in the equation 23x + 5 = 11 being true.

Initially, we must remove 5 from both sides of the equation to isolate the variable x:

23x + 5 - 5 = 11 - 5

When we combine the left and right sides, we obtain:

23x = 6

Then, by multiplying both sides of the equation by 23, we must find x:

23x/23 = 6/23

When we combine the left and right sides, we obtain:

x = 6/23

As a result, 6/23 is the value of x that ensures that the equation 23x + 5 = 11 holds true.

The solution to this problem cannot be found in the available selections since none of the answer possibilities match this value.

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Answer:

The answer is C because the ratio 2:5 is equal to 40:100

5 . 3

6 I 3 1 . 8

- 3 0

1 8

- 1 8

0

Therefore, the answer is 5.3

Answer:

a) 96 is 300% of 32

b) it was increased by 200%

Step-by-step explanation:

a) 32 * 3 = 96, and if you convert 3 to percentages, that is 300%.

b) 300%-100%=200%

Step-by-step explanation:

√a is defined only when a >= 0.

Therefore for √4x * √(x + 2) to be defined, both 4x and x + 2 must be non-negative.

When 4x >= 0, x >= 0.

When x + 2 >= 0, x >= -2.

x >= 0 and x >= -2, therefore we have x >= 0. (D)

Answer:

x = ⅔

Step-by-step explanation: 1. Subtract the numbers = 7 + x-15 = -22/3, -8 + x = -22/3. 2. Add the same term to both sides of the equation = -8 + x = - 22/3, -8 + x + 8 = - 22/3 + 8. 3. Simplify = Add the numbers, Add the numbers again, and x = 2/3

Answer:

3/5

4/3

2/1

3/1

Step-by-step explanation:

turn them to ratios and fractions and try to simplify

3/5=3/5

4/3=4/3

2/1=2/1

6/2=3/1

so put the end results in order

so all of them have a bigger numerator than denominator, except one. 3/5. Thats the slowest one.

4/3 isn't quite 2 wholes, but 2/1 is, so 4/3 is second last and 2/1 is second.

3/1 is the first.