(-2)x(+4)x(+3)x(-1)=
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The principal investment required to get a total amount of $3,700.00 from compound interest at a rate of 3.5% per year compounded 365 times per year over 15 years is $2,287.26.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Given Data

Rate = 3.5%

Final Amount = $3,700

Time = 15 Years

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 per year,

Then, solve the equation for P

P = A / (1 + r/n)^nt

P = 3,700.00 / (1 + 0.035/365)(365)^(15)

P = 3,700.00 / (1 + 0.00010137)^(4745)

P = $2,287.26

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Answer:

Step-by-step explanation:

Let the equation of the total population over the year be expressed as

P(t)= P0e^kt

P0 is the initial population

k is the constant of proportionality

t is the time

If the population of Clover county doubles every 11 years, this means that:

at t = 11, P(t) = 2P0

Substitute

2P0 = P0e^k(11)

2 = e^11k

ln2 = lne^11k

ln2 = 11k

k = ln2/11

k = 0.0630

If the original population was 140,000, we are to find the number of people that will live in Clover county in 15 years?

p0 = 140,000, k = 0.0630, t = 15 p(15) = ?

Substitute

P(t)= P0e^kt

p(15) =  140,000e^( 0.0630)(15)

p(15) =  140,000e^0.945

p(15) =  140,000*2.5728

p(15) =  360,193.87

Hence approximately 360,193 will live in clover country in 15years

Answer: 2.25

Step-by-step explanation: 2.25 because if u subtract 10.75 - 8.5 = 2.25

Answer:

Step-by-step explanation:

Answer:

63kg x 2.2 = 138.6 pounds

138.6 pounds/14 = 9.9 stones

Step-by-step explanation:

Answer:

63kg×2.2=138.6 pounds

138.6 pounds/14=9.9

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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When we add 6000 kilograms of water to the pool, it will hold around 18,000 kilos of water and have a depth of about 1/3 meter.

a. We must first determine the capacity of the pool in order to determine how many kilos of water are present there. The volume of a rectangular prism can be calculated by multiplying its length, width, and height (or depth).

Length = 6 meters

Width = 3 meters

Depth = 1 meter

Volume = Length x Width x Depth

Volume = 6 meters x 3 meters x 1 meter

Volume = 18 cubic meters

Therefore, the weight of 18 cubic meters of water is:

Weight = Volume x Density

Weight = 18 cubic meters x 1000 kilograms/cubic meter

Weight = 18,000 kilograms

The weight of water in the pool is 18000 kilograms.

b. Calculate the new water depth in the pool if 6000 kg of water are added. Additional weight of water = 6000 kilograms

To find the new depth, we can divide the additional weight of water by the area of the base of the pool, which is the length multiplied by the width.

Base area = Length x Width

Base area = 6 meters x 3 meters

Base area = 18 square meters

New depth = Additional weight / Base area

New depth = 6000 kilograms / 18 square meters

New depth ≈ 333.33 meters/square meter

Therefore, the water is about 333.33 meters deep (or approximately 1/3 of a meter deep) when you add 6000 kilograms of water to the pool.

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True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Answer:

C. 10 cm³

Step-by-step explanation:

V = 1/3(area of base)(height)

= 1/3(1/2 x 5 x 3)(4)

= 1/3(7.5)(4)

= 1/3(30)

= 10 cm³

Answer:

A

Step-by-step explanation:

Answer:

3y

Step-by-step explanation:

All three expressions have the factor 3, and all three have the factor y.  Thus, the GCF is 3y.

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

C):10.99

Step-by-step explanation:

The diameter is 3.5...

3.5 x 3.14 = 10.99

The cirucmference of the stump given its diameter is closest to 10.99 ft.

The circumference of the stump is the distance round the stump. The stump is in the shape of a circle. Thus, the formula for the circumference of a circle would be used to determine the circumference of the stump.

Circumference of a circle = πD

Where:

3.14 x 3.5 = 10.99ft

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Answer:

1.22 is greater

Step-by-step explanation:

everything after the decimal point is still the same as if it was a regular number. It's like comparing 22 and 02.

You can do 1.22-1.02 without getting a negative number

But when you do 1.02-1.22 the answer is -0.2.

I hope I could help!

Answer:

1) 35.07

2) 123.6

3)3.9

4) 102.83

5)97.5

6)6.93

Answer:

If the price is increasing or decreasing

Step-by-step explanation:

The slope is a visual representation of the cost over time.

Answer:I think  It Shows How Much You Have

Step-by-step explanation:

Answer:

∠ 2 = 25°

Step-by-step explanation:

The triangle on the right has 2 congruent sides and is therefore isosceles with 2 base angles being congruent, both 65° , then

∠ 2 = \(\frac{180-(65+65)}{2}\) = \(\frac{180-130}{2}\) = \(\frac{50}{2}\) = 25°

Answer:

ΔAXC ~ ΔCXB

ΔACB ~ ΔAXC

Step-by-step explanation:

B and D are correct

Congruent triangles have equal corresponding sides.

The true statements are: ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC  

From the figure (see attachment), we have the following highlights

This means that we have the following similarities statements:

ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC  

Hence, the true options are: (b) and (d)

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Answer: 38.7°

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of elevation of the sun (x), and the opposite side is the height of the pole, and the adjacent side is the length of the shadow.

Replacing with the values given:  

Tan x = 16/20

x = arc tan 0.8

x= 38.7°

Feel free to ask for more if needed or if you did not understand something.  

Answer:

How many ways can they fill the 4 positions?

The Answer is B. 210

Answer: b. 210

Step-by-step explanation:

The total pressure of a mixture of two gases is the finalized value of the summation of the total pressure of each of the gases.

The total pressure of a mixture of two gases can be expressed in the form of an equation, as below,

Total Pressure = Pressure of Gas 1 + Pressure of Gas 2

It is noteworthy to be mentioned that the partial pressure of an individual gas is completely in contrast to that of the individual pressure of a gas. It can be expressed in the form of an equation, as below,

Partial Pressure = Total Pressure of Gas x Mole Fraction of Gas

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It can be deduced that the mean age is substantially different from 24 at the.05 level of significance.

If the average student age is not substantially different from 24 years, then the null hypothesis is tested, which is:

\(H_{0}\) : μ = 24

If it differs from 24 years, the alternative premise is tested, so:

\(H_{1}\) :  μ ≠ 24

The z-distribution is utilized because we have the population's standard deviation. The test statistic comes from:

z = x -  μ÷ σ/\(\sqrt{n}\)

The parameters in this issue have the following values:

x(mean) = 25

μ = 24

σ = 2

n=16

As a result, the test statistic's value is:

z = 25-24÷ 2/\(\sqrt{16}\)

z = 2

The probability of a sample mean older than 25 years determines the test's p-value, which is 1 less than the p-value of z = 2.

The p-value for z = 2 in the z-table is 0.9772; 1 - 0.9772 = 0.0228.

Given that the test's p-value is 0.0228 0.05, we may say that:

It can be deduced that the mean age is substantially different from 24 at the.05 level of significance.

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Answer:

i guess Bis the answer bcuz, A sample space is a collection or a set of possible outcomes of a random experiment

Statement B is correct, which best defines the sample space that is " a sample space is the set of all possible outcomes for the a given situation".

A sample space is a collection or a set of possible outcomes of a random experiment. It is represented by using the symbol "s".

For example,

When we flip or toss a coin, two outcomes are possible such as head and tail. Therefore the sample space for this experiment is given as

Sample space, S = {H, T} = {Head, Tail}

According to the given option

Option B is correct. That is a sample space is the set of all possible outcomes for a given situation.

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Answer:

4.1

Step-by-step explanation:

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Answer:

1) \( - \frac{4}{5} \)

2) \( \frac{9}{8} \)

Step-by-step explanation:

\( \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} \)

\( \frac{6 - 10}{15} = - (10 - 6) = - 4\)

\( = - \frac{4}{15} \)

°■°■°■°■°■°■°■°■°■°

\( \frac{3}{4}+\frac{3}{8} \)

\( \frac{6+3}{8} \)

\( = \frac{9}{8} \)

- Mean: 119.43- Median: 118.50- Mode: 110 - Count: 28

To find the mean, we add up all the values and divide by the number of observations. In this case, the sum of the values is 3342, and since there are 28 observations, the mean is 3342/28 = 119.43.

The median is the middle value when the data is arranged in ascending order. In this case, there are 28 observations, so the median is the average of the 14th and 15th values. When the data is ordered, the 14th value is 118 and the 15th value is 124. Therefore, the median is (118 + 124)/2 = 118.50.

The mode is the value that appears most frequently in the dataset. In this case, the value 110 appears three times, which is more than any other value. Hence, the mode is 110.

The count simply refers to the number of observations in the dataset, which is 28 in this case.

(b) The data is skewed right.

When data is symmetric, it means that the values are evenly distributed around the mean, resulting in a bell-shaped curve. In this case, the data is not symmetric. Looking at the dataset, we can observe that there are several smaller values on the left side, while the right side has a few larger values. This indicates a right skew or positive skewness.

Skewness refers to the asymmetry of a distribution. In a right-skewed distribution, the tail of the distribution extends towards the right, indicating a longer right tail. Therefore, the correct answer is b. Skewed right, indicating that the data is positively skewed.

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The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Answer:

-1

Step-by-step explanation:

\(\frac{10-8}{-7- - 5}\) =\(\frac{2}{-7+5}\) = \(\frac{2}{-2}\) = -1

Ordered pairs are written (x,y)  The first number is the x coordinate and the second number is the y coordinate.

(-5,8)  and (-7,10)  You take the y's and subtract them that is your numerator.  Take the x's and subtract them.  That is your denominator.