SOLUTION
Recall the simple interest formula
\(I=\frac{PRT}{100}\)From the question
P=$8,865
R=?
The time is given as 75 days
Converting this to years gives
\(T=\frac{75}{365}\)And the interest is
I=$82.60
Substitute these values into the interest formula
\(82.60=\frac{8865\times R\times\frac{75}{365}}{100}\)Solve for R
\(\begin{gathered} 8260=8865\times R\times\frac{75}{365} \\ 8,260=R\frac{664875}{365} \\ 3014900=664875R \\ R=\frac{3014900}{664875} \\ R=4.53 \end{gathered}\)Therefore the rate is 4.53%
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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What is the length of a side of an equilateral triangle inscribed in a circle with a radius of 10 cm?
Answer:
a = √3 * r
a = √3 * 10
a = 10√3 cm
Step-by-step explanation:
Please help ASAP it’s due in 10 minutes pleaseeee I’m begging u
Anything helps :) thank you
Answer:
the first one is (23)
number 7 is ( 34.069)
Step-by-step explanation:
what is 337/25 simplified
Answer: 13.48
Step-By-Step:
Hello there! I will be showing the steps. Let me know if you have any questions or concerns in the comments.
Step 1: For the denominator, recognize that 25 × 4 = 100.
Multiple = 4
Step 2: Multiply both the numerator and denominator by the multiple 4.
\(\frac{337 *4 }{25 * 4}\)
Step 3: Simplify.
\(\frac{1348}{100}\)
Step 4: Simplify.
13.48
~I hope I helped you! :)~
Mya runs around a 400 m track at a constant speed of 250 m/min. how many minutes does it take Mya to complete four laps of the track
Answer:
6.4 laps
Step-by-step explanation:
Write an equation of the line through (-2, - 1) having slope
8/7?
Answer:
When slope and one point are known follow instructions on this page:
http://www.1728.org/distance.htm
Calculate "b" from this equation:
b = y -mx where "m" is the slope
We'll use the point given (-2, -1) for "x" and "y"
b = -1 -(8/7) * -2
b = -1 + 16/7
b = 9/7
then we enter "b" and the slope into this equation
y = 8/7x +9/7
y = 1.142857 x + 1.2857142857
Step-by-step explanation:
-4x+3y=-3 17x - 4y = 14
Answer:
x=98
935
y=
4494
935
Step-by-step explanation:
x=321x
7
317x=4y=14
If each letter of the alphabet is worth two more than its preceding letter, where A is the first number and equals 1, B is the second number and equals 3,… and Z is the twenty-sixth which equals …..
What does Z equal?
f(x)= -2x-1
h(x)= -x+5
(hf)(6)=??
Answer:
\(f(x) = - 2x - 1 \\ h(x) = - x + 5 \\ \\ The \: \: value \: \: of \: \: \: f(6) = ( - 2) \times 6 - 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 13 \\ \\ as \: we \: know ,\: \\➪(hf)(x) = h(f(x)) \\ so \:➪( hf)(6) = h(f(6)) \\ \\ put \: the \: value \: \: of \: f(6) \: we \: \: get \\ \\➪ (hf)(6) \: = h( - 13) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - ( - 13) + 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 13 + 5 \\ \: \: \: \: \: \: \: = 18\)
Tʜᴀɴᴋs Hᴏᴘᴇ ɪᴛ ʜᴇʟᴘs..69 x 206
anyone wanna ch.at?
Answer:
14,214
Step-by-step explanation:
no
hope it helps!
Answer:sure y not?
Step-by-step explanation:
What was developed as a tool used to investigate a change in natural sciences?
Answer:
The Scientific Method
Step-by-step explanation:
The Scientific method has many steps to help you evaluate a change
Today, scientists adopt a specific approach called the scientific method to generate information about the natural world. This approach is founded on observation and tested hypotheses (through experimentation). Scientists may develop a theory or a law that both describe aspects of the natural world.
What is scientific method ?Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.
The bean plant can grow anyplace, according to the hypothesis, provided that scientific methods are applied. putting the idea into practice and gathering information.
A collection of academic fields known as the "natural sciences" examines the physical universe and all natural events. Physical sciences like chemistry, geology, physics, mathematics, or astronomy and biological sciences like biology, botany, zoology, genetics, or microbiology are the two primary disciplines of the natural sciences.
Thus, scientists adopt a specific approach called the scientific method to generate information about the natural world.
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the top of an electric pole is s supported by a wire of 26 ft long on the ground level. how far is tightened spot from the foot of the pole if its height is 24 ft?
Answer:
The tightened spot is 10 feet away from the foot of the pole.
Step-by-step explanation:
1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.
2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.
⭐What is the Pythagoras' Theorem?
\((C)^2 = (A)^2 + (B)^2\)An equation to find a 3rd side lengthC = hypotenuseA = one legB = another leg3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.
Let B= the distance from the tightened spot to the foot of the pole.
\((C)^2 = (A)^2 + (B)^2\)
\(26^2 = 24^2 + B^2\)
\(676 = 576 + B^2\)
\(100 = B^2\)
\(\sqrt{100} = \sqrt{(B)^2}\)
\(10 = B\)
∴ The tightened spot is 10 feet away from the foot of the pole.
Diagram:
In a large vase, there are 5 roses, 8 daisies, 7 lilies, and 5 orchids. If 4 flowers are selected at random, and not replaced, find the probability that at least one of the flowers is a rose.
Given 5 roses, 8 daisies, 7 lilies, and 5 orchids.
Total number of flowers = 5 + 8 + 7 + 5 = 25 flowers
Total number of flowers minus rose = 8 +7 + 5 =20 flowers
If 4 flowers are selected and not replaced, the probability that at least one of the flowers is a rose
The probability formula is:
\(P(E)=\frac{N\text{(Required outcome)}}{N(\text{possible outcome)}}\)\(\begin{gathered} P(at\text{ least one is rose)= 1 - }P(\text{no rose)} \\ P(no\text{ rose)=}\frac{20C_4}{25C_4} \\ =0.3830 \end{gathered}\)Therefore,
\(\begin{gathered} P(at\text{ least one is rose) = 1 - 0.3830} \\ =\text{ 0.6170} \end{gathered}\)The Probability that at least one of the flowers is a rose is 0.617
Subtract the measurements: 40 pecks 6 quarts − 20 pecks 7 quarts
the given expression is,
= 40 pecks 6 quartz - 20 pecks 7 quartz
= 39 pecks 14 quartz - 20 pecks 7 quartz
= 19 pecks 7 quartz
thus the answer is
19 pecks 7 quartz
Help please!
Find f(-4)=
given parallelogram ABCD with c(5,4), find the coordinates of A if the diagonals intersect at (2,7)
Answer: (-1, 10)
Step-by-step explanation:
Put these numbers in order, starting with the largest.
Largest
293,000
545,417
779,500
459,300
273,481
Smallest
15. Find the measure of angle G * 15) F 156° G H
Answer: i think its C
Step-by-step explanation:
the head chef at local restaurant is contemplating how to divide the work between her two cooks, jill and betty. jill can make 25 panini or 20 servings of pasta each hour and betty can make 50 panini or 25 servings of pasta. which of the following should be the chef's choice?
The chef should assign Jill to make pasta and Betty to make panini because Jill is more efficient than betty. (option 1)
Jill is more efficient at making pasta, being able to produce 20 servings in an hour, while Betty is more efficient at making panini, being able to produce 50 in an hour. By assigning Jill to pasta and Betty to panini, the chef can maximize productivity and minimize waiting times for customers. This way, both cooks can work at their highest capacity, and the restaurant can serve both dishes quickly and efficiently.
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Complete Question:
the head chef at a local restaurant is contemplating how to divide the work between her two cooks, jill and betty. jill can make 25 panini or 20 servings of pasta each hour and betty can make 50 panini or 25 servings of pasta. which of the following should be the chef's choice?
Jill for pasta and Betty for paniniBetty for pasta, jill for paniniIs there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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Round The Following Number: 194,332.125
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000
Find: |-8|
о 0
О -1
0 8
О - 8
Answer:
|-8|
= |-8| = 8
|-8|. |-a = a , a> o
= 8
In class, we developed the formula
(a) Use the formula (using appropriate substitutions) to find the closed form for ∑2
= 2
(b) Use the formula in the notes for ∑
= 13 to find the closed form expression form for
∑
= 3 (assume a ≥ 1 and a ≤ b)
(c) In class, we developed the formula
Use this formula and some algebra to derive a closed form for the sum ∑
= 0( ― 1)2 ― 1
(d) Test your closed form solution in (c) to find the value of ∑3
= 0( ― 1)2 ― 1 and see if
it matches the manual computation of the 4 terms of the sum.
(a) The closed form for ∑2 is 2.
(b) The closed form expression for ∑3 is 24.
(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.
(d) The value of -3 matches the manual computation of the four terms.
Our closed form solution is correct.
To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:
∑2 = n(a + l) / 2
In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.
We also know that there is only one term, so n = 1.
Substituting these values into the formula, we have:
∑2 = 1(2 + 2) / 2
= 4 / 2
= 2
The formula for the sum of the first n terms of an arithmetic series is:
∑n = n(a + l) / 2
In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).
Substituting these values into the formula, we get:
∑3 = 3(3 + 13) / 2
= 3(16) / 2
= 48 / 2
= 24
The formula we developed in class is:
∑n = n(a + a + (n - 1)d) / 2
In this case, we have a = 0 (the first term) and d = -1 (the common difference).
Substituting these values into the formula, we get:
∑n = n(0 + 0 + (n - 1)(-1)) / 2
= n(0 - n + 1) / 2
= n(1 - n) / 2
To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):
∑3 = 3(1 - 3) / 2
= 3(-2) / 2
= -6 / 2
= -3
Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:
0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1
= 0 - 1 - 2 - 3
= -6
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The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. Write an equation to determine the integers. Solve your equation. Show your work
Answer:
x=75
Step-by-step explanation:
first no.=x
second no.=x+1
third no.=x+2
now,
or,
x+x+1+x+2=228
or,
3x+3=228
or,
3x=228-3
or,
x=225/3
x=75 ans
Help would be appreciated.
Find the value of each variable
Answer:
1. ( 267) A 90)
Step-by-step explanation:
234 5674
5633 772892
733738)=/;:'&
what is −2(x+6)=4x
x=
Answer:
x=-2
Step-by-step explanation:
Distribute, add 12 to both side, then simplify
Answer: -2
Let's solve your equation step-by-step.
−2(x+6)=4x:
Step 1: Simplify both sides of the equation.
−2(x + 6) = 4x
(−2)(x) + (−2)(6) = 4x (Distribute)
−2x + (−12) = 4x
−2x − 12 = 4x
Step 2: Subtract 4x from both sides.
−2x − 12 − 4x = 4x − 4x
−6x − 12 = 0
Step 3: Add 12 to both sides.
−6x − 12 + 12 = 0 + 12
−6x = 12
Step 4: Divide both sides by -6.
−6x/−6 = 12/−6
x = −2
Mai's class volunteered to clean a park with an area of square mile. Before they took a lunch break, the class had cleaned of the park. How many square miles had they cleaned before lunch?
The class had cleaned x × A square miles before lunch.
Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).
If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:
Area cleaned before lunch = x × A
Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.
Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).
If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:
Before lunch, the area was cleaned = x A
We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.
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Please answer the question in the picture
Answer:
the answer is zero now can you help me
11. If AB LCD, mZDCE = (7x + 2) and mZECB= (x + 8), find the measure of ZDCE.
AC B.
Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,
mZDCE = mZECB (Alternate Interior Angles)
(7x + 2) = (x + 8) (Substitute in the given angle measures)
Solving for x, we get:
7x + 2 = x + 8
6x = 6
x = 1
Now, we can use x to find the measure of angle ZDCE:
mZDCE = (7x + 2)
= (7*1 + 2)
= 9
Therefore, the measure of angle ZDCE is 9 degrees.