$5000 principal earning 4% compounded annually, 4 years

Step-by-step explanation:

The volume of a cube is 17 cubic inches.

The formula used to find the volume of a cube is given by :

\(V=x^3\)

x is the side of the cube

\(x=(V)^{1/3}\\\\x=(17)^{1/3}\\\\x=2.57\ \text{inches}\)

The fraction that cannot be written in the form of p/q is irrational no. If the cube root a number is not possible, then the length is considered to be irrational.

Step-by-step explanation:

Suppose a number = A

4(11-A) = 60

(11 - A) = 60/4

11 - A = 15

11 = A + 15

A + 15 = 11

A = 11 - 15

= -4

Four times the difference of 11 and a number  26 gives 60.

It is a kind of gap between two numbers

Example: difference between 19 and 5,

that is | 19 - 5 | = | 5 - 19 | = 14.

Difference can be calculated between two numbers only.

Let the number be x

According to question

4 ( x - 11 ) = 60

x - 11 = 60/4

x - 11 = 15

x = 15 + 11

x = 26

Hence, Four times the difference of 11 and a number  26 gives 60.

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Step 1

The rectangular coordinate system consists of two real number lines that intersect at a right angle. The horizontal number line is called the x-axis, and the vertical number line is called the y-axis. These two number lines define a flat surface called a plane, and each point on this plane is associated with an ordered pair of real numbers (x, y). The first number is called the x-coordinate, and the second number is called the y-coordinate.

Step 2

Three examples of the rectangular coordinate system, which is the basis for most consumer graphs are;

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

Area= 302.86cm^2

Step-by-step explanation:

Small Rectangle:

A= LW

A= 4cm(8cm)

A= 32cm^2

Bigger rectangle:

A=LW

4cm -3cm= 1cm

1cm +11cm= 12cm

8cm -6cm= 2cm

2cm +6cm= 8cm

A= 12cm(8cm)= 96cm^2

Area overlap for rectangles:

A= LW

4cm -3cm= 1cm

8cm -6cm= 2cm

A= 1cm(2cm)

A= 2cm^2

96cm^2- 2cm^2= 94cm^2

Triangle:

A= 1/2LH

6cm +2cm= 8cm

8cm -5cm= 3cm

3cm +8cm= 11cm

A= 1/2(10cm)(11cm)

A= 5cm(11cm)

A= 55cm^2

Circle:

A= pir^2

12cm -6cm= 6cm

6cm +8cm= 14cm

Diameter= 14cm

Radius= diameter/2

R= 14cm/2

R= 7cm

A= 3.14(7cm)^2

A= 3.14(49cm^2)

A= 153.86cm^2

94cm^2 +55cm^2 +153/86cm^2= 302.86cm^2

Step-by-step explanation:

#1

4 + 5×3 (= 4 + 15 = 19)

#2

25/5 + 3 (= 5 + 3 = 8)

#3

16 - 4×2 (= 16 - 8 = 8)

#4

6×2 - 1 (= 12 - 1 = 11)

Answer: a; b

Step-by-step explanation: Both answers are possibilities because 0a = 0 and 0b = 0. Hope this helps!

The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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Answer:

n=1

Step-by-step explanation:

-n+4=8n-5

9=9n

n=1

hope that helps

Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Answer:

A length of a ray cannot be measured therefore it's refferd to as infinite. same

Using the binomial distribution, it is found that there is a:

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, we have that:

The probability that exactly 2 out of 8 randomly selected ­Americans own a cat is P(X = 2), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965\)

0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected ­Americans own a cat.

The probability that more than 3 own a cat is given by:

\(P(X > 3) = 1 - P(X \leq 2)\)

In which:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.3)^{0}.(0.7)^{8} = 0.0576\)

\(P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977\)

\(P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965\)

Then:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0576 + 0.1977 + 0.2965 = 0.5518\)

\(P(X > 3) = 1 - P(X \leq 2) = 1 - 0.5518 = 0.4482\)

0.4482 = 44.82% probability that more than 3 own a cat.

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The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

\(d=-6\)

\(a_9=-49\)

Step-by-step explanation:

If the first term of a sequence is \(-1\) and the second term is \(-7\), then each successive term in the sequence is \(6\) less than the previous term. The common difference is \(-6\) ( \(d=-6\) ).

The formula representing the arithmetic sequence is:

\(a_n=-6n+5\)

Therefore, the ninth term in the sequence is:

\(a_9=-6(9)+5\)

\(a_9=-54+5\)

\(a_9=-49\)

Answer:

8x=42 where x is hourly cost

so x = 21/4

6*x = 63/2 $

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Regression

Statistics

R Square 0.01104

Standard Error 4.02545

Observations 27

Stat - - - - Coef - - Std Error - - t-Stat - - P-value

Int. - - 88.4902 - 1.67814 - - 52.731 - - 0.0000

Price (–0.00239) - 0.00453 (–0.528) - - 0.6019

Stat - - - - lower 95% - - - upper 95%

Int. - - - - - 85.0340 - - - - - - 91.9464

Price - - (–0.01172) - - - - - - 0.00693

(A) No, At α = .05, the Coefficient of price is not significantly different from zero, because :

The p-value (0.6019) obtained is greater than 0.05, Hence we fail to reject the null hypothesis.

B) the correlation Coefficient (r) :

Since ; r^2 = 0.01104

r = √0.01104

r = 0.1050714

The p-value obtained at α = .05 for r value of 0.1051 using the online p-value calculator is .602, this shows that correlation does not differ from 0.

Using :

r(√n-2) / √1 - r^2

0.1051(√27-2) / √1 - 0.01104

0.5255 / 0.9944646

= 0.5284250

For a 2 tailed test: α = .025

t0. 025 = 2.060 and - 2.060

Obtained t value is less than the critical, hence the null hypothesis stands

Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

Answer:

75−4(4−2)^3

=43

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

11(2r+1)

16(2t+1)

9(4+c)

14(3k+2)

Step-by-step explanation:

no real way to explain besides factor them and take the largest common factor out

Answer:

1) 11(2r+1)

2) 16(2t+1)

3) 9(4+c)

4) 14(3k+2)

Step-by-step explanation:

Factor these expressions, find the GCF and divide the GCF on both the numbers, keep the numbers and put them in parenthesis and put the GCF on the outside of the parthensesis.

Answer:46

Step-by-step explanation:

The mistakes that were made regarding the transformation are:

It should be noted that a transformation simply means the changing of the position of an object

In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.

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Answer:

45,54,63,72

Step-by-step explanation:

d=9

36+9

45+9

54+9

Answer: 45, 54, 63, 72

Step-by-step explanation

just look at each number and go up in the tens and down in the ones and once you get to 0 you start at 9 again

\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)