PLEASE HELP
Calculate the total value of the investment given the following information and compounded continuously?

Principal $1000; rate 5.5%; term 20 years

When the full moon is at position 3, positions 9 and 12 experience low tide.

The correct option is 9 and 12.

The positions of the moon and the sun have an impact on the tides of the Earth's oceans.

What is a tide?

Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.

In order to determine which two positions experience low tide, the Moon's position must be considered.

When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.

When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.

In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.

Thus, the correct option is 9 and 12.

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Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

Answer:

using SOH CAH TOA

Step-by-step explanation:

The critical value of z for each hypothesis  test is 2.326

In this question, we are asked to use Excel to find the critical value of z for each hypothesis test. We are given a 2 percent level of significance for a two-tailed test. To find the critical value, we can use the NORM.S.INV function in Excel. The syntax for this function is =NORM.S.INV(probability).

We can enter the probability as 1 - (alpha / 2) for a two-tailed test, where alpha is the level of significance. We can then round the result to three decimal places.

To find the critical value for a 2 percent level of significance, two-tailed test, we can follow these steps:

Step 1: Calculate the value of alpha

Alpha = 2% = 0.02

Step 2: Calculate

1 - (alpha / 2)1 - (alpha / 2)

= 1 - (0.02 / 2)

= 0.99

Step 3: Use the NORM.S.INV function in Excel=NORM.S.INV(0.99)

This gives us a critical value of z = 2.326.

Therefore, the critical value of z for the hypothesis test with a 2 percent level of significance and a two-tailed test is 2.326.

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Answer:

50% decrease

Step-by-step explanation:

since a 31 tree decrease is half of 62 the percent would be a 50% decrease (half)

So the answer is 50% decrease

Hope this helps :)

Simple random sampling is a sort of possibility sampling in which the researcher randomly selects a subset of members from a populace.

Each member of the populace has an same hazard of being decided on. data is then accumulated from as big a percent as feasible of this random subset.Taking a easy random sample from every of a number of subgroups as an instance, decrease-income catholics, middle-earnings protestants.

An example of a simple random pattern will be the names of personnel being chosen out of a hat from a agency of employees. In this case, the populace is all personnel, and the pattern is random due to the fact each employee has an same risk of being chosen.

Random sampling is a part of the sampling technique in which each pattern has an identical chance of being chosen. A pattern selected randomly is meant to be an unbiased illustration of the whole populace.

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The slope intercept form of the function is  y = -4x - 2

From the given graph

The two points are (-1, 2) and (0, -2)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the line.

The slope intercept form of the line

y = mx + b

m is the slope of the line

b is the y intercept

x is the x coordinate

y is the y coordinate

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

= (-2-2) / (0--1)

= -4/1

= -4

y = -4x + b

2 = -4×-1+b

2 = 4+b

b = 2-4

b = -2

Then

y = -4x -2

Hence, the slope intercept form of the function is  y = -4x - 2

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Answer:

No, they are not. While they are similar terms, they do not have the same values within the terms. Like how 3 is not -2.

Answer:

No because there is no way

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

3 1/8 divided by 7 1/2

When dividing fractions, I use "KCF," or "keep, change, flip," which helps make the problem much easier. You will change the mixed numbers to improper fractions. Then, you will keep the first fraction as it is, change the division sign to multiplication sign, and flip the other fraction. So I'll show you how it's done in this problem.

Change mixed numbers to improper fractions:

25/8 divided by 15/2

KCF:

25/8 multiplied by 2/15

Multiply across:

50/120

Simplify by dividing top and bottom by 10:

5/12

This answer stays as 5/12 because it is a proper fraction and cannot be written as a mixed number.

Hope this helped!

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Wyatt correctly calculated the surface area of the house using the formula for the total surface area of a rectangular prism which is 2lw + 2lh + 2wh. Wyatt's formula of multiplying the area of the base times the height and adding half the area of the base times the height is essentially equivalent to this formula.  

In order to paint the new dog house, Wyatt used the formula of multiplying the area of the base times the height and adding half the area of the base times the height. His formula is:Base x Height + 1/2(Base x Height)The above formula can be simplified to:1.5(Base x Height)Wyatt's formula is equivalent to the formula of calculating the total surface area of a rectangular prism which is 2lw + 2lh + 2wh.The base is the area of the bottom rectangle of the rectangular prism which is lw. The height is the length of the rectangular prism.Using Wyatt's formula, we can derive the surface area of the house:Surface area of the house = Base x Height + 1/2(Base x Height)                             = 1.5(Base x Height)                             = 1.5lw + 1.5lh + 1.5whSubstituting the given dimensions of the dog house:l = 5ftw = 4fth = 6ftSurface area of the house = 1.5lw + 1.5lh + 1.5wh                                           = 1.5(5)(4) + 1.5(5)(6) + 1.5(4)(6)                                           = 30 + 45 + 36                                           = 111 sq.ft

The formula for the total surface area of a rectangular prism is 2lw + 2lh + 2wh. Wyatt's formula of multiplying the area of the base times the height and adding half the area of the base times the height is essentially equivalent to this formula because he calculated the surface area of the base and multiplied it by the height of the house to get the surface area of the sides of the house.Wyatt's formula is Base x Height + 1/2(Base x Height) which can be simplified to 1.5(Base x Height). This formula can be used to find the surface area of the rectangular prism, where the base is the area of the bottom rectangle of the rectangular prism, which is lw, and the height is the length of the rectangular prism.Using Wyatt's formula, we can derive the surface area of the house:Surface area of the house = Base x Height + 1/2(Base x Height)                             = 1.5(Base x Height)                             = 1.5lw + 1.5lh + 1.5whSubstituting the given dimensions of the dog house:l = 5ftw = 4fth = 6ftSurface area of the house = 1.5lw + 1.5lh + 1.5wh                                           = 1.5(5)(4) + 1.5(5)(6) + 1.5(4)(6)                                           = 30 + 45 + 36                                           = 111 sq.ftTherefore, Wyatt correctly calculated the surface area of the house which is 111 sq.ft.

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"Complete table of 5" refers to a multiplication table containing all products of the number 5 multiplied by integers from 1 up to a specified maximum value.

Here is an example of 5 complete tables:

5x1=5

5x2=10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5x8=40

5 x 9 = 45

5 x 10 = 50

In this example, the maximum multiplier value is 10, but a full table of 5 can continue with any number of rows. This table will help you remember the facts about multiplication by 5 and identify patterns for multiples of 5.

Note that if you're looking for a way to compute the product, you can use a loop or function that takes the maximum value of the multiplier as input and outputs the full table of 5.

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The correct sequence of the steps required to construct the bisector of \( \angle{A}\) is presented as follows;

The game given steps and their number of appearance in the question photo are;

1. Label the intersection of the arcs in the interior of the angle as point D.

2. Without changing the opening of the compass, place the point of the compass at point C and draw another arc in the interior of the angle

3. Place the point of the compass on point B and draw an arc in the interior of the angle

4. Use the straight edge to draw \( \overrightarrow{AD}\)

5. Place the point of the compass at point A and draw an arc that intersects the sides of \( \angle{A}\). Label the points of intersection as points B and C.

The correct order of the steps required to construct the bisector of \( \angle{A}\) is as follows;

Step 5 → Step 3 → Step 2 → Step 1 → Step 4

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Answer:

y=5x-2

Step-by-step explanation:

y=mx+b is slope-intercept form. To get this, we need to isolate y.

First subtract 5x from both sides.

5x-y=2

-5x     -5x

----------------

-y=2-5x

y needs to be positive, so divide both sides by -1.

-y/-1=2-5x/-1

y=-2+5x

Lastly, rearrange.

y=5x-2

The name given to this type of design is a factorial design. A factorial design is a design in which researchers investigate the effects of two or more independent variables on a dependent variable.

In this study, two independent variables were used: room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius), while the dependent variable was happiness.

Each level of each independent variable was tested in conjunction with each level of the other independent variable. There are a total of six experimental conditions (two colors × three temperatures = six conditions), and twenty students were randomly assigned to each of the six conditions.

The researcher then examined how each independent variable and how the interaction of the two independent variables affected the dependent variable (happiness). Therefore, this study is an example of a 2 x 3 factorial design.

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Answer:

Answer B is closest:  5.8 units

Step-by-step explanation:

Points M and N appear to lie in the same plane, so this problem is a 2-dimensional one.  The distance along the x axis from N to the origin is 5 units and that along the y axis from the origin to M is 3 units.  We apply the Pythagorean Theorem, as follows:

d = √(3² + 5²), or

d = √34, which is approximately 5.83 units.  Answer B is closest:  5.8 units.

Answer:

\(\mathrm{a=10,\ r=0.5}\)

Step-by-step explanation:

\(\mathrm{The\ nth\ term\ of\ any\ geometric\ sequence\ is\ given\ by:}\\\mathrm{t_n=ar^{n-1}}\\\mathrm{Given,}\\\mathrm{5th\ term(t_5)=6.25}\\\mathrm{or,\ ar^{5-1}=6.25}\\\mathrm{or,\ ar^4=6.25......(1)}\\\\\mathrm{And,\ 7th\ term(t_7)=1.5625}\\\mathrm{or,\ ar^{7-1}=1.5625}\\\mathrm{or,\ ar^6=1.5625.........(2)}\)

\(\mathrm{Dividing\ equation(2)\ by\ (1),}\\\mathrm{\frac{ar^6}{ar^4}=\frac{1.5625}{6.25}}\\\\\mathrm{or,\ r^2=\frac{1}{4}}\\\\\mathrm{or,\ r=\frac{1}{2}}\)

\(\mathrm{From\ equation(1)\ we\ have}\\\mathrm{ar^4=6.25}\\\mathrm{or,\ a(0.5)^4=6.25}\\\mathrm{or,\ a=100}\)

Alternative method:

\(\mathrm{Here,\ the\ sixth\ term\ of\ the\ sequence\ is\ geometric\ mean\ of\ the\ 5th\ and\ 7th}\\\mathrm{term.}\\\mathrm{So,\ we\ may\ say:}\\\mathrm{t_6=\sqrt{t_5\times t_7}}=\sqrt{6.25\times 1.5625}=3.125\\\mathrm{Now,\ common\ ratio(r)=\frac{t_6}{t_5}=\frac{3.125}{6.25}=\frac{1}{2}=0.5}\\\mathrm{We\ know,\ t_6=3.125}\\\mathrm{or,\ ar^5=3.125}\\\mathrm{or,\ a(0.5)^5=3.125}\\\mathrm{or,\ a=100}\)

The first term and common ratio of the geometric progression (GP) can be determined based on given information. First term (a₁) is 100, and the common ratio (r) is ±0.5, leading to correct answer c. a₁ = 100, r = ±0.5.

By analyzing the values of the 5th and 7th terms, we can find the relationship between them and solve for the unknowns. The correct answer is c. a₁ = 100, r = ±0.5. In a geometric progression, each term is obtained by multiplying the previous term by a constant ratio. Let's denote the first term as a₁ and the common ratio as r. Based on the given information, the 5th term is 6.25 and the 7th term is 1.5625.

Using the formula for the nth term of a geometric progression, we can express these terms in terms of a₁ and r:

a₅ = a₁ * r⁴ = 6.25

a₇ = a₁ * r⁶ = 1.5625

To solve for a₁ and r, we can divide the equations:

(a₇ / a₅) = (a₁ * r⁶) / (a₁ * r⁴)

1.5625 / 6.25 = r²

0.25 = r²

Taking the square root of both sides, we have:

r = ±0.5 Substituting the value of r back into one of the equations, we can solve for a₁:

6.25 = a₁ * (0.5)⁴

6.25 = a₁ * 0.0625

a₁ = 6.25 / 0.0625

a₁ = 100

Therefore, the first term (a₁) is 100, and the common ratio (r) is ±0.5, leading to the correct answer c. a₁ = 100, r = ±0.5.

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Answer:

i need help too

Step-by-step explanation:

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

Answer:

0.85

Step-by-step explanation:

4a-2b+c/2abc

where a=5,b=2,c=1

4(5)-2(2)+1/2×5×2×1

20-4+1/20

17/20

0.86

Answer:

\( \frac{50}{5} = 10\)

Step-by-step explanation:

\( \frac{7(8 - 1) + ( - 1 {)}^{2} }{1 + {2}^{2} } \)

\( \frac{7 \times 7 + ( - 1 {)}^{2} }{1 + {2}^{2} } = \frac{7 \times 7 + 1}{1 + {2}^{2} } \)

\( \frac{7 \times 7 + 1}{1 + 4} = \frac{49 + 1}{1 + 4} = \frac{49 + 1}{5} \)

\( = \frac{50}{5} = 10\)

The given differential equation with variable separation will be cosy = -1/2 sin2x + C.

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.

Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

Due to the prevalence of these relationships, differential equations are widely used in many fields, including engineering, physics, economics, and biology.

So, we have the differential equation:

csc(y) dx + sec2(x) dy = 0

We, are aware that:
csc(y) = 1/ siny

sec(x) = 1/ cosx

We can also write it:

dx/siny = dy/cos2x

Cross multiplication with variable separation:

siny dy = cos2x dx

Differentiate:
cosy = -1/2 sin2x + C

As a result, the given differential equation with variable separation will be

cosy = -1/2 sin2x + C.

Therefore, the given differential equation with variable separation will be cosy = -1/2 sin2x + C.

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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It will take 15/2 hours for Mitch to run 1 mile. Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2.

Mitch ran 5/2 of a mile in 1/3 of an hour. To calculate how many hours it will take Mitch to run 1 mile, we need to use a ratio. The ratio is (5/2)/(1/3). To solve this, we need to multiply the numerator and denominator of the first fraction with the denominator of the second fraction, and then multiply the numerator and denominator of the second fraction with the denominator of the first fraction. So, the ratio becomes (5/2)*(3/1)/(1/3)*(2/1). Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2. This means that it will take 15/2 hours for Mitch to run 1 mile.

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Answer:

Step-by-step explanation:

Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.

1.)3 x 2 + 3 x 8 = 24

Now that you got the steps down, ima do the rest in my head

2.) 2

3.) -10

4.) -50

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = ab + ac

                                    a(b - c) = ab - ac

1) 3(2 + 8) = 3*2 + 3*8

                = 6 + 24

                = 30

2) (-3 + 4)2 = -3*2 + 4*2

                 = -6 + 8

                = 2

3) -5(4 - 2) = -5*4 - (-5)*2

                 = - 20 + 10

                = -10

4)(12 +13)(-2) = 12*(-2) + 13 *(-2)

                    = -24 - 26

                    = -50

Answer:

Yes it is an exponential function

Step-by-step explanation:

The given equation can be written in the form y = abˣ , and:

a and b are constants (a = 2, b = 15)

a ≠ 0

b > 0

b ≠ 1

The statement 'movements in demand that do not follow a given pattern are referred to as random variations' is true as they are unpredictable fluctuations in demand.

Random variations in demand refer to unpredictable fluctuations that do not follow any particular pattern or trend. These fluctuations can be caused by a variety of factors such as changes in consumer behavior, external events, or random chance and cannot be easily forecasted or attributed to a specific cause.

Random variations can make it difficult for businesses to accurately forecast demand and plan accordingly, which is why it is important to have robust forecasting and inventory management systems in place. Hence, the statement is true.

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Answer:

I don't know ‍♀️

Step-by-step explanation: