A person places $66800 in an investment account earning an annual rate of 1%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 15 years.

Answer:

rhombus i think

Step-by-step explanation:

Answer:

Should be A

Step-by-step explanation:

It would be A because you would make the original x coordinates negative to get the new ones

After 39 years, the value of this quantity is 1,023.35

Here we know that:

Then the exponential equation is:

\(A(t) = 570*(1 + 0.35)^{t/20}\)

Where t is the time in years.

So, after 39 years, the value of this quantity is given by:

\(A(39) = 570*(1 + 0.35)^{39/20} = 1,023.35\)

After 39 years, the value of this quantity is 1,023.35

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The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40

The amount of buying 7 litres of orange juice at the cheapest buy is £2.52

500 ml bottle for £1.40

Convert ml to liters:

500 ml = 0.5 liters

Unit rate = 0.5/1.40

= £0.36 per liter

2 litre carton for £2.50

Unit rate = 2/2.50

= £0.8 per liter

2 cartons for £4.50

Unit rate = 2/4.50

= $0.44 per carton

3 litre carton for £3.50

Unit rate = 3 / 3.50

= £0.86 per liter

The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.

Therefore, the cost of 7 liters at the cheapest buy

= £0.36 per liter × 7

= £2.52

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Answer:

hi is this you from omegle?

Step-by-step explanation:

In statistics, n is used to denote sample size. This gives the total number of participants under study.

In statistics, n is defined as the sample size. It refers to the total number of participants or the total number of observations that are included in a study. This size of the sample is drawn from the given population. This value is important because this directly influences the research study.

This sample size is affected by study design, standard deviation, sampling method, significance level, and study power. For example, you have to determine the mineral concentration in different types of soil. For this, you are taking 5 different soil samples. Here, the sample size is 5.

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On average, there were approximately 8547 visitors in the park at any particular time last year.

To find out how many visitors were in the park at any particular time last year on average, we can use the following formula:

Average number of visitors = Total number of hours spent by all visitors / Number of hours in a year

First, we need to calculate the total number of hours spent by all visitors:

Total number of hours spent by all visitors = Number of visitors x Average number of hours per visitor

Total number of hours spent by all visitors = 3400000 x 22 = 74800000 hours

Next, we need to calculate the number of hours in a year. Since a year has 365 days, and each day has 24 hours, the total number of hours in a year is:

Number of hours in a year = 365 x 24 = 8760 hours

Finally, we can calculate the average number of visitors in the park at any particular time last year:

Average number of visitors = Total number of hours spent by all visitors / Number of hours in a year

Average number of visitors = 74800000 / 8760 = 8547.032

Rounding to the nearest integer, we get:

Average number of visitors = 8547

Therefore, on average, there were approximately 8547 visitors in the park at any particular time last year.

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Your answer is 2 + 2 = 4

Answer:

Step-by-step explanation:

thx for helping

Answer:

The interactions of snakes and mice make up which ecological unit?

A. species

B. community

C. biome

D. population

Step-by-step explanation:

The best answer here is community. Please see the explanation below.

Please let me know if this helped!!!

Answer:

<-56, -16>

Step-by-step explanation:

multiply the values by 8 because that's what the question tells you to do

As the sample size increases, the variability among the sample means decreases, option A.

The number of observations used to calculate estimates for a certain population is known as the sample size. The sample size was determined by drawing from the population. Sampling is the practise of choosing a portion of the population from which to draw conclusions about the characteristics of the entire population. A subset of a population is chosen for study based on the number of entities in it.

Population data is a sizable collection of information that covers the whole population under investigation. All the components that are investigated for the research make up a population.

Yet, sample data is a component of the population. Generally, computing the entire population is rather cumbersome and challenging. In this instance, a representative sample of the population is chosen. Sample data refers to this sample.

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Answer:

D

24/0.6= 40

Carlos can buy 40 Pounds of apples

Step-by-step explanation:

I would greatly appreciate if you could give this the brainliest answer crown!

Out of 120 students in exam, 2/3 of them passed. How many students passed?

now,

no of students passed = 2/3×120

= 0.66×120

=80...

therefore 80 students were passed....

Answer:

80

Step-by-step explanation:

The function round(price, 0) is used to round a given number (in this case, the price) to a specified number of decimal places (in this case, 0). When you use round(24.95, 0), the function will round the price to the nearest whole number. In this scenario, 24.95 will be rounded up to 25, not 24.

Yes, that is correct. The function round(price,0) rounds the price to the nearest whole number. In this case, 24.95 is rounded down to 24. However, it's important to note that this function always rounds to the nearest whole number, so if the price was 24.5 it would also round down to 24, whereas if the price was 24.6 it would round up to 25. It's also worth mentioning that there are other rounding functions that can be used to round to different levels of precision, such as rounding to the nearest tenth or hundredth.

Overall, rounding is an important tool in many areas of math and statistics, as it allows us to simplify numbers and make calculations easier to work with.
 

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The marginal rate of substitution (MRS) for the utility function V(x, y) can be calculated by taking the partial derivative of V with respect to y and dividing it by the partial derivative of V with respect to x.

In this case, MRS of V(x, y) is given by MRS = (0.7x^0.3y^(-0.3))/(0.3x^(-0.7)y^(0.7)). Simplifying this expression, we get MRS = 2.333(y/x)^0.7.

Comparing the MRS of V(x, y) with the MRS of U(x, y) from part 3 (c), we find that the MRS of V(x, y) is different from U(x, y). The MRS of U(x, y) was given by MRS = (2/3)(y/x)^0.5.

The key difference lies in the exponents: the MRS of V(x, y) has an exponent of 0.7, whereas the MRS of U(x, y) has an exponent of 0.5. This implies that the marginal rate of substitution for V(x, y) is higher than that of U(x, y) for the same combination of x and y.

Specifically, for any given level of x and y, the consumer is more willing to give up y to obtain an additional unit of x under V(x, y) compared to U(x, y). This indicates that the preference for x relative to y is relatively stronger in the utility function V(x, y) compared to U(x, y).

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Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

(2,-9)

Step-by-step explanation:

Multiply out the polynomial to get:

x^2-4x-5

the vertex formula is -b/2a (use the coefficients of the equation above)

-(-4)/2(1) = 4/2 = 2

we know the x value of the vertex is 2. Now we can plug that into the original equation to get the y value.

(2-5)(2+1)

(-3)(3) = -9

so the coordinate is (2,-9)

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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Answer:

The polygon PQRST is a scaled copy of polygon ABCDE. It is scaled by 2. Meaning that the dimensions of polygon ABCDE were doubled to make polygon PQRST.

Step-by-step explanation:

Answer:

Maybe he ran out of gas. Give him a bit time to refill, and you'll be fine :)

Answer:

15

Step-by-step explanation:

=> \((15^{1/5})^5\)

=> \((15^{5/5})\)

=> \(15^1\)

=> 15

Hey there!

Answer:

15.

Step-by-step explanation:

When there is an exponent outside of the parenthesis, the two powers must be multiplied together. Therefore:

\((15^{1/5 })^{5}\)

Multiply '1/5' and '5':

\(15^{1/5*5}\)

\(15^{1}\)

= 15.

Through (−5, 2); perpendicular to the line y = − 1/2x + 4 will be ⇒ y = 2x + 12 ⇒ y= 2x -3

1. y= - 1/2 x + 4

passes through (-5.2)

line perpendicular to given line

⇒ (slope of given line) * (slope of newline) = -1

(- 1/2) * (m) = -1

∴ m =2

equation of line passing through (-5 , 2) having slope m = 2 is

y- \(y_{1}\) = slope (\(x-x_{1}\))

y-2 = 2(x-(-5))

y-2 = 2(x=5)

y-2 = 2x + 10

∴ y = 2x + 12

2. parallel to line : 3x + 4y +2=0

⇒ slope = -3/4

4y = -3x -2

∴ y= -3/4x -1/2

y-intercept = 3

since equation of line having slope & y-intercept is, y =mx+c

slope = -3/4 ; y-intercept = 3

y=mx+c

y=-3/4x+3

4y = -3x + 12

∴ 3x =4y = 12

3. line passing through : (-5, -13) & perpendicular to line passes through (-2, -1) & (2, -3)

∴ slope of perpendicular line = \(y_{2} - y_{1} / x_{2} -x_{1}\)

= -3 - (-1)/ 2 - (-2) = -3 + 1/4 = -2/4 = -1/2

y- (-13)= 2(x -(-5))

y+13 = 2x + 10

⇒ y= 2x -3

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Answer:

75%

Step-by-step explanation:

54/72 = 0.75

Answer:

-60

Step-by-step explanation:

4x 15 is 15 but since the 4 is negative and there's only one negative in the question, the answer would be -60

Answer:

2(x +14) = 40 (use the distributive property)

2x + 28 = 40 (solve exactly like you did for Fran)

2x = 12

x = 6