Mrs. thompson receives $596.65 from her company each month. how much does mrs. thompson receive from her company in 12 months? enter your answer in the box.

Final answer:

To round 5,503,569 to the nearest hundred, observe the hundreds and the following digit. Since the following digit is a 9, round the hundreds digit up to 7 and zeros follow. The rounded number is 5,503,600.

Explanation:

To round the number 5,503,569 to the nearest hundred, we need to look at the digit in the hundreds place and the digit following it. In 5,503,569, the hundreds digit is 6, and the digit to its right is 9. According to rounding rules, if the digit right after the one we are rounding is 5 or greater, we round up. Since 9 is greater than 5, we round the hundreds place up from 6 to 7 and change all the digits to the right of the hundreds place to zero.

The final answer, therefore, is 5,503,600 when 5,503,569 is rounded to the nearest hundred.

Final answer:

Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B. In this case, events a and b are not independent.

Explanation:

Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B.

In this case, if p(a|b) = 0.35, p(b) = 0.75, and p(a) = 0.44, we can determine if events a and b are independent by comparing the given probabilities.

To check if events a and b are independent, we need to find p(a|b) and compare it to p(a), and find p(b|a) and compare it to p(b).

p(a|b) = 0.35 means that the probability of event a occurring given that event b has occurred is 0.35. Since p(a|b) is not equal to p(a), events a and b are not independent.

8-3 = 5

7-2 = 5

 so the answer would be A

The value of x is 75.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

6 consecutive integers are x − 2, x − 1, x, x + 1, x + 2, x + 3

Now, the integers add up to 447.

So, x-2 + x-1 + x+ x +1 + x+2 + x+3= 447

6x -3 + 6 = 447

6x = 450

x= 75

Hence, the value of x is 75.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ5

Answer:

The explicit equation for the given geometric sequence is [tex]a_n=4(-2)^{n-1}[/tex]. The domain for the geometric sequence is all positive integers except 0.

Step-by-step explanation:

It is given that the first term of the geometric sequence is 4 and the second term is -8.

[tex]a_1=4,a_2=-8[/tex]

The common ratio for the sequence is

[tex]r=\frac{a_2}{a_1}=\frac{-8}{4}=-2[/tex]

The explicit equation for a given geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

where, a is first term, n is number of term and r is common ratio.

The explicit equation for the given geometric sequence is

[tex]a_n=4(-2)^{n-1}[/tex]

Here n is the number of term. So, the value of n is must be a positive integer except 0.

Therefore the domain for the geometric sequence is all positive integers except 0.

You need to represent the number of males in terms of females.

Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.

So then the number of males is f+240 and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: f+(f+240)=2500. I put the number of males in brackets there just to make it easy to recognize.

This equation can be condensed into 2f+240=2500 and then solved:

2f=2500−240
f=2500−2402
f=1130

Then, we know the number of females, and we can solve for the number of males from here using our male formula: males=f+240. You should then get 1370 as the number of males.

Checking this answer, we see that 1130 + 1370 does equal 2500.

Answer:

P=2(l+w)

Step-by-step explanation:

It is given that perimeter, P, of a rectangle is the sum of twice the length and twice the width.

Let length of rectangle is l and width of the rectangle is w.

Perimeter = 2 × Length + 2 × Width

[tex]P=2\times l+2\times w[/tex]

[tex]P=2l+2w[/tex]

Taking out common factors.

[tex]P=2(l+w)[/tex]

[Note: (l+l)+(w+w) units is also true but according to the statement only option 1 is true]

Therefore, the correct option is 1.

Answer:

Emanuel made huis mistake in first step and step 1 is incorrect.

Step-by-step explanation:

The given expression is

[tex](\frac{3}{5})(\frac{4}{9})(-\frac{1}{2})[/tex]

It can be written as

[tex]\frac{3}{5})(\frac{4}{9})(\frac{-1}{2}[/tex]

Step 1: [tex](\frac{(3)(4)(-1)}{(5)(9)(2)})[/tex]

Emanuel used negative sign with both numbers 1 and 2. Therefore the first step of Emanuel is incorrect.

Step 2: [tex]\frac{-12}{90}[/tex]

Step 3: [tex]\frac{-2}{15}[/tex]

Therefore Emanuel made huis mistake in first step and step 1 is incorrect.

20 books / 5 months = 4 books per month

4 books  * 7 months = 28 books total

Answer:

(10−2x)(30−2x)x

Step-by-step explanation:

I know how to explain it, but the other person's answer already has a good explanation. I'm just confirming this to be correct! :D

The sin(a + b), cos(a + b) and tan(a + b) for angles a and b where sin a = 12/13 and sin b = -15/17 respectively, can be calculated using the formulas for the sine, cosine, and tangent of the sum of two angles. The results are -252/221 for sin(a+b), 56/221 for cos(a+b) and -4.5 for tan(a+b).

The given sin values represent the sides of the right triangles in terms of opposite/hypotenuse. Given we are in the second and third quadrants, where cos values are negative, we can use Pythagoras' Theorem, for example, to find cos a = -√(1 - sin²a) = -√(1 - (12/13)²) = -5/13 and analogously, we obtain cos b = -√(1 - sin²b) = 8/17.

Using the formulas for the sine, cosine, and tangent of the sum of two angles:

https://brainly.com/question/28483432

#SPJ3

The rate of change of the height of the water in the pool when the depth is 5 feet is approximately 0.089 feet per minute.

To find the rate of change of the height of the water in the pool, we can use the formula for the volume of a cylinder.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

So, when the depth of the water is 5 feet, we can find the rate of change of the height by differentiating the volume equation with respect to time.

Let's calculate it:

V = π(5^2)(h)

dV/dt = π(25)(dh/dt)

Since the volume is increasing at a constant rate of 7 cubic feet per minute, we have dV/dt = 7.

Substituting the given values, we have:

7 = π(25)(dh/dt)

dh/dt = 7/π(25)

So, the rate of change of the height of the water in the pool when the depth is 5 feet is approximately 0.089 feet per minute.

https://brainly.com/question/29693764

#SPJ12

To find the rate of change of the height of the water in the pool, we can use the concept of related rates. The rate of change is approximately 0.089 cubic feet per minute.

To find the rate of change of the height of the water in the pool, we can use the concept of related rates. Let's call the height of the water in the pool 'h' and the rate of change of the height 'dh/dt'. We know that the volume of water in the pool is flowing at a constant rate of 7 cubic feet per minute, therefore the rate of change of the volume of water in the pool is also constant at 7 cubic feet per minute. The volume of a cylinder is given by V = πr^2h, where r is the radius of the pool and h is the height of the water. We can differentiate this equation with respect to time to find the rate of change of the volume.

dV/dt = πr^2(dh/dt)

Since the radius of the pool is constant at 5 feet and the rate of change of the volume is 7 cubic feet per minute, we can substitute these values into the equation and solve for dh/dt.

7 = π(5^2)(dh/dt)

dh/dt = 7/(π(5^2))

Therefore, the rate of change of the height of the water in the pool when the depth of the water is 5 feet is approximately 0.089 cubic feet per minute.

https://brainly.com/question/31226174

#SPJ3

Answer:

[tex]y=m^2-4m-45[/tex]

Step-by-step explanation:

An equation has solutions of m = –5 and m = 9

WE are given with the solution. Lets write the solution as factors

When x=a is a solution then factor is (x-a)

[tex]m=-5[/tex] is a solution. change the sign of the solution while writing factor. factor is (m+5)

[tex]m=9[/tex] is a solution, factor is (m-9)

we use the factors to find the equation

[tex]y=(m+5)(m-9)[/tex]

Multiply the factors using FOIL method

[tex]y=m^2-9m+5m-45[/tex]

[tex]y=m^2-4m-45[/tex]

The amount of an investment of $5,000 at an interest rate of 4.5% compounded monthly for 10 years will be $7,847, rounded to the nearest whole dollar.

To determine the amount of an investment that starts at $5,000, with an interest rate of 4.5% compounded monthly for 10 years, we use the formula for compound interest:

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

Where:

Plugging the values into the formula:

A = 5000(1 + 0.045/12)^(12*10)

A = 5000(1 + 0.00375)^(120)

A = 5000(1.00375)^(120)

A = 5000 * 1.569463137

A = $7,847 (rounded to the nearest whole dollar)

The amount of the investment after 10 years, compounded monthly at 4.5% interest, will be $7,847.

Answer:

The required vertex of ∠YVT is V

Step-by-step explanation:

To find : Vertex of ∠YVT

Vertex of an angle is defined as the point about which the corresponding angle is formed or measured.

Also, the angle is formed when two rays meet or intersect is each other. so the point of intersection at which the angle is formed is called the vertex of the angle thus formed.

Now, we need to find the vertex of ∠YVT

First check by which two lines the given ∠YVT is formed.

Now, from the diagram ∠YVT is formed by meeting of the lines YV and TV

And the point of meet is V therefore, the angle is formed at V

Hence, The required vertex of ∠YVT is V