Answer:
4 ÷ 12 = 0.33333333333
Step-by-step explanation:
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeowners are selected at random. Define the random variable x as the number among the four who have earthquake insurance.
Remainder of question:
Find the probability distribution of x
Answer:
The random variable x is defined as: X = {0, 1, 2, 3, 4}
The probability distribution of X:
P(X = 0) = 0.656
P(X = 1) = 0.2916
P(X= 2) = 0.0486
P(X=3) = 0.0036
P(X = 4) = 0.0001
Step-by-step explanation:
Sample size, n = 4
Random variable, X = {0, 1, 2, 3, 4}
10% (0.1) of the homeowners are insured against earthquake, p = 0.1
Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1
q = 0.9
Probability distribution of x,
\(P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) = (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001\)
What is the solution to this equation?
7x-3(x-6)= 30
A. X= 3.
B. x = 12
C. X= 9
D. x=6
Answer:
A
Step-by-step explanation:
To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:
7x - 3(x-6) = 30
7x - 3x + 18 = 30
4x + 18 = 30
Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:
4x + 18 - 18 = 30 - 18
4x = 12
Finally, we can solve for x by dividing both sides by 4:
4x/4 = 12/4
x = 3
Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.
To identify the specific fallacy in the argument, if the argument commits a fallacy of a personal attack or an emotional appeal in the provided passage and also explain it and to also mention if there is no fallacy.
Consider, the passage,
In the past 3 months, you missed work without calling in five times, and each time you couldn't produce a doctor's note. On two occasions in 1 week, you left work early without notifying your supervisor. You fell asleep at your and missed two important calls from clients. Given this poor record, we have decided to let you go.
Answer:
The fallacy can specifically be noted in this argument:
"You fell asleep and missed two important customer calls."
Step-by-step explanation:
In the previous argument we can see that the worker is being attacked directly, it is not being indicated with reasonable evidence when it was that he actually fell asleep, in what month, in what time, and how many times.
can someon help me with this please?
The temperature was recorded at several times during the day
Answer:
This doesn't make sense?
Step-by-step explanation:
What is the question?
If z = 2 + 2i, what is z4? 2 square root of 2(cos(pi/4) + i sin(pi/4)) 2 square root of 2(cos(pi) + i sin(pi)) 64(cos(pi/4) + i sin(pi/4)) 64(cos(pi) + i sin(pi))
For the complex number, if z = 2 + 2i, z⁴ = 64 (cos(π) + isin(π)).
How to find z⁴ of the complex number?The cartesian form of a complex number is z = x + iy.
The polar form of complex numbers is z = r(cosθ + isinθ).
where θ = tan⁻¹(y/x) and r = √(x²+y²)
If z = 2 + 2i,
θ = tan⁻¹(2/2) = π/4 radian
r = √(2²+ 2²) = 2√2
z = 2√2(cos(π/4) + isin(π/4))
z⁴ = [2√2(cos(π/4) + isin(π/4))]⁴
Using De Moivre's Formula:
[r(cosθ + isinθ)]ⁿ = rⁿ (cos(nθ) + isin(nθ))
[2√2(cos(π/4) + isin(π/4))]⁴ = (2√2)⁴ (cos(4* π/4) + isin(4* π/4))
[2√2(cos(π/4) + isin(π/4))]⁴ = 64 (cos(π) + isin(π))
Thus, z⁴ = 64 (cos(π) + isin(π))
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Answer:
C
Step-by-step explanation:
Edge 2023
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
30% of 52 equals what. I need help please and thank you
Answer:
15.6
Step-by-step explanation:
Give brainliest if correct pls
Answer:
15.6
Step-by-step explanation:
The equation of a line is given below.
4x - 5y=10
Find the slope and the y-intercept.
Then use them to graph the line.
A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,
from the base of the dolly to the ground.
A. 52.0°
B. 38.0°
C. 38.6°
D. 51.4°
Check the picture below.
\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)
Make sure your calculator is in Degree mode.
On the school playground, the slide is due west of the tire swing and due south of the monkey bars. If the distance between the slide and the tire swing is 7 meters and the distance between the tire swing and the monkey bars is 10 meters, how far is the slide from the monkey bars? If necessary, round to the nearest tenth.
The slide is approximately 12.2 meters away from the monkey bars.
What is Pythagoras Theorem?
You may determine the right angled triangle's missing length using Pythagoras' Theorem. The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is usually the longest, and the hypotenuse (which is between the opposite and the hypotenuse).
We can solve this problem by using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).
Let's label the distance between the slide and the monkey bars as "x". We can see that the distance between the slide and the tire swing, and the distance between the tire swing and the monkey bars form the two shorter sides of a right triangle, with the hypotenuse being the distance between the slide and the monkey bars.
Using the Pythagorean theorem, we have:
\(x^2 = 7^2 + 10^2\\\\x^2 = 49 + 100\\\\x^2 = 149\\\\x = \sqrt{(149)}\)
x ≈ 12.2 meters (rounded to the nearest tenth)
Therefore, the slide is approximately 12.2 meters away from the monkey bars.
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hellooooooooooooooooooooooooooooooooooo
Answer:
Step-by-step explanation:
Hi
Fanuela walked for 3.9 miles per hour for 0.72 hours. How far did she walk?
Answer: Fanuela walked 2.808 miles.
Step-by-step explanation:
If 3.9 = 100 and we need to work out what 72 is we can do this/
3.9 ÷ 10 = 0.39 which = 10
0.39 ÷ 10 = 0.039 which = 1
so with these calculations we can solve the problem.
To get the 70 in 72 we can do 0.39 x 7 (10 x 7) which = 2.73.
To get the remaining 2 in 72 we can do 0.039 x 2 (1 x 2) which = 0.078.
2.73 + 0.078 = 2.808.
Fanuela walked 2.808 miles.
Hope this helps! Feel free to ask any questions if you're still unsure.
Jan needs 1000 signatures on a petition. If 230 people sign the petition each day, how many days will it take 1000 people to sign the petition
The number of days which it would take 1000 people to sign the petition as required in the task content is; 4.35 days.
What is the number of days required for 1000 people to sign the petition?It follows from the task content that the number of days which it would take Jan to get 1000 signatures on the petition be determined.
Since it is given in the task content that 230 people sign the petition each day.
It therefore follows from proportion that the number of days needed for 1000 people to sign the petition is;
= 1000/230
= 4.3478 days.
Hence, the number of days which it would take 1000 people to sign the petition is approximately; 4.35 days.
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I need help with math
Emma purchases a 20 ounce bottle of shampoo for 17$ What is the unit rate?
Answer:
1.176 ounces per dollar
Step-by-step explanation:
What is the equation of the line?
Answer:
1/2x +2
Step-by-step explanation:
If we start at (0,2), to the next point you rise 1 run 2, so 1/2 slope. You can see the 2 is the y intercept.
63 = - 7w solution to this equation
Answer: -9
Step-by-step explanation:
Divide 63 by -7 and you get -9
Hope this helps :)
Answer: -9
Step-by-step explanation:
Divide 63 by -7 and you get -9
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
If you are at the point -3.27, which of the following numbers is located to the right of your position?
O-4
0 -3 1/
O-3.157
O-3.5
The numbers located to the right of the position are greater than -3.27 so option (c) is correct
A number line is a horizontal line that has equally spread number increments
On a number line, -3.27 is located to the left between -4 and -3.
Moving to the left of its negative number like -4.
Moving to the right of it is a larger negative number moving towards positive.
Hence if we locate to the right from -3.27 we get a greater number than -3.27 located right to the -3.27. From the given option -3.157 is the number
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The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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Write the fraction 6/8 in the simplest terms
question is in the image below
The perimeter of Sam's string is 178 inches.
Given information:
Sam has a rectangular shaped window.
Length = 65 inches.
Width = 24 inches.
To find the perimeter:
you can use the formula:
Perimeter = 2 x (Length + Width)
Substituting the values into the formula, we have:
Perimeter = 2 x (65 + 24)
Perimeter = 2 x 89
Perimeter = 178 inches
Therefore, the perimeter of the rectangular window is 178 inches.
So, the perimeter of the rectangular window is 178 inches. This means that if you were to walk along the outline of the window, you would cover a total distance of 178 inches. It's important to note that the perimeter represents the total length of all the sides combined, and it is measured in the same unit (in this case, inches) as the length and width of the window.
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Hemos comprado 3 kg de manzanas y nos han cobrado $ 3.45. ¿Cuánto nos cobrarían por 1, 2, 5 y 10 kg?
Answer:
Por 1 kg: $1.15
Por 2 kg: $2.30
Por 5 kg: $5.75
Por 10 kg: $11.50
Lo siento si esta respuesta no es correcta, si lo es o no, por favor dímelo en los comentarios!
Step-by-step explanation:
Primero, divida $ 3.45 por 3, lo que le dará $ 1.15.
Luego, multiplique $ 1.15 a 1, 2, 5 y 10.
(Respondí esto usando un traductor, por lo que mi gramática podría estar un poco desviada. ¡Espero que esto ayude!)
Select the three equations that pass through the points (–4, –16) and (5, 2):
y + 4 = 2(x – 16)
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
The standard form for linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The equation of line passing through (-4, -16) and (5, 2) is:
y - (-16) = [(2-(-16))/(5-(-4))](x - (-4))
y + 16 = 2(x + 4)
y = 2x - 8
y - 2 = 2(x - 5)
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When twice a number is decreased by three, the result is 25. What is the number?
Answer:
So you can make an equation.
So lets make the unknown number “x”
So it’s twice a number and it’s decreased by 3.
So 2x-3
The result is 25
2x-3=25
Now just solve for the number or “x”
X= 14
The equation P=20sin(2πt)+90 models the blood pressure, P , where t represents time in seconds. a. Find the blood pressure after 30 seconds. Enter the exact answer. The blood pressure is Number . b. What are the maximum and minimum blood pressures? Enter the exact answers. The maximum blood pressure is Number , and the minimum blood pressure is Number .
Assume that women's heights are normally distributed with a mean given by mu = 64.3 inches, and a standard deviation given by sigma= 2.2 inches.
A) If a woman is randomly selected, find the probability that her height is less than 65 inches.
B) If 34 women are randomly selected, find the probability that they have a mean height less than 65 inches.
Answer:69
Step-by-step explanation:
TRICK QUESTION BE CAREFUL
Answer:
Just a guess, 65?
Step-by-step explanation:
This looks fun. I shall try it.
63-17 = 46
46 + 19 = 65.