Answer:
A filter.
Step-by-step explanation:
If sin0 = and 0 < 0 < find sin 20. 3. If cos 0 =- OO | - and It <0<- 3TT find sin 20. 2
we need to find the values of sin(10°) and cos(10°) to compute sin(20°).
To find the value of sin 20°, we can use the trigonometric identity sin(2θ) = 2sin(θ)cos(θ).
Given sin(θ) = √3/2 and 0° < θ < 90°, we can find the value of sin 20° as follows:
sin(20°) = 2sin(10°)cos(10°)
We need to find the values of sin(10°) and cos(10°) to compute sin(20°).
Given cos(θ) = -√2/2 and -π/2 < θ < 0, we can find the value of sin 20° as follows:
sin(20°) = 2sin(10°)cos(10°)
Similarly, we need to find the values of sin(10°) and cos(10°) to compute sin(20°).
Since you provided conflicting information for the values of sin 0 and cos 0, it is not possible to determine the value of sin 20° without accurate values for sin 0 and cos 0. Please provide the correct values, and I will be happy to help you further.
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(-4) (?) = -12
What is the value of the (?)
Answer:
(-4) (3)= -12
Step-by-step explanation:
because negative times a positive =a negative
Here is a rectangle with some triangles inside it.
A. Which triangles are similar to triangle AED? Explain or show your reasoning.
B. The length of segment EF is 16 units and the length of segment ED is 20 units. Find the length of segment FA. Explain or show your reasoning
A) The triangles that are similar to AED are:
DCE
EBA
AFE
EFD
B) The value of the side FA is: 14.92 units
How to find the length of similar triangles?A) Triangular AED:
D = 53° (alternating interior angles)
A = 180 - 90 - 53 = 37° (Sum of angles in a triangle)
AA Similarity Criterion
DCE is similar to AED
Angle BEA = 180 - 90 - 53 = 37° = angle A for triangle AED
Therefore:
Using AA similarity criteria:
EBA is similar to AED
Diagonals of a parallelogram (here: rectangle) cut into two congruent triangles
Therefore:
EBA matches AFE
EBA matches AFE, DCE and matches EFD
Congruent triangles are similar
Conclusion:
DCE is similar to AED
EBA is similar to AED
AFE is similar to AED
EFDs are similar to AEDs
B) Using Pythagoras theorem:
DF = √(20² - 16²)
DF = 12
Using trigonometric ratios:
EF/FA = tan 47
FA = 16/tan 47
FA = 14.92 units
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In 2003, the population of an African country was about 10.5 million people, which is 3 million more than 3 times the population in 1950. Enter and solve an equation to find the approximate population p (in millions) in 1950. An equation is . The approximate population in 1950 was million people.
Answer:
2.5 million
Step-by-step explanation:
Given that :
Population in 2003 = 10.5 million
Population in 2003 = 3 million + (3 * population in 1950)
Hence from both expressions :
Let population in 1950 = p
3,000,000 + (3 * p) = 10,500,000
3,000,000 + 3p = 10,500,000
3p = 10,500,000 - 3,000,000
3p = 7,500,000
p = 7,500,000 / 3
p = 2,500,000
Hence, population in 1950 is 2.5 million
What is x if 6x-7=13x+8
Answer:
[tex]-\frac{15}{7}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
it should be -[tex]\frac{15}{7}[/tex]
Step-by-step explanation:
Anna and Tommy each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, and what was the
rate?
Answer:
Anna
Step-by-step explanation:
Hers grew 2.5 inches each time
A paper box is 12.3cm , 7.5cm wide and 8 cm high. calculate the volume of the box
Answer:
738cm^3
Step-by-step explanation:
You just multiply everything together
12.3 * 7.5 * 8 = 738cm^3
(theta) = 168°; t = 0.28 sec; r = 3 mm. find its linear velocity.
Answer:
0.03 m/secStep-by-step explanation:
GivenΘ= 168°t = 0.28 sec r = 3 mmTo find Linear velocitySolutionFormula for linear velocity
v = Θr/tConverting the angle measure from degrees to radians
168° = 168*π/180 = 168*3.14/180 = 2.93Substituting values
v = 2.93*3/0.28 mm/sec = 31.39 mm/sec = 0.03 m/sec rounded to nearest hundredthsTo find the distance AB across a river, a surveyor laid off a distance
BC=351
m on one side of the river. It is found that
B=112°10′
and
C=17°15′.
Find AB.
The distance AB across the river is
nothing
m
The distance AB across the river is 417.04 m when BC = 351 m, B = 112°10′ and C = 17°15′ across the river. Hence, the correct answer is AB = 417.04m.
We are given that BC = 351 m, B = 112°10′ and C = 17°15′.
We need to find the distance AB across the river, given that angle BAC = 90°.
To find AB, we will use the sine rule.
According to the sine rule,
AB / sin ∠BAC = BC / sin ∠BCA
Substituting the given values, we get,
AB / sin 90° = 351 / sin (112°10′ + 17°15′)
We know that sin 90° = 1 and sin (112°10′ + 17°15′) = sin 129°25′
So,
AB = 351 / sin 129°25′ = 351 / 0.8413
AB = 417.04 m
Therefore, the distance AB across the river is 417.04 m when BC = 351 m, B = 112°10′ and C = 17°15′ across the river. Hence, the correct answer is AB = 417.04m.
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NEED HELP ASAP WILL GIVE BRAINLIEST
Answer:
[tex] \frac{7}{6} or \: 1 \frac{1}{6} [/tex]
The lifetime of a light bulb is known to have an exponential distribution with mean 200 days. If 2 bulbs with lifetime X and Y are installed, what is the probability that they fail within 10 days of each other. Both X and Y are independent
The lifetime of a light bulb is known to have an exponential distribution with mean 200 days. The formula for the exponential distribution is: f(x) = (1/λ) * e^(-x/λ), where x ≥ 0 and λ > 0 are constants.
Here, the mean is 200 days, so λ = 1/200 = 0.005.
Both X and Y are independent.
Therefore, we can find the probability that X fails within 10 days of Y, and multiply it by the probability that Y fails within 10 days of X.
Hence, the probability that the bulbs fail within 10 days of each other is the sum of these probabilities.
Let Z = X - Y, then P(X ≤ Y + 10) = P(X - Y ≤ 10) = P(Z ≤ 10).
Now, we can transform Z into a standard normal variable, as follows: Z = (X - Y - E[Z]) / σ[Z].
Now, E[Z] = E[X - Y] = E[X] - E[Y] = 200 - 200 = 0, and
σ[Z]^2 = Var[X - Y] = Var[X] + Var[Y] = (1/λ^2) + (1/λ^2) = 2/λ^2.
Hence, σ[Z] = √(2/λ^2) = √2 * 200 ≈ 282.84.
Therefore, P(Z ≤ 10) = P[(X - Y) / σ[Z] ≤ 10 / σ[Z]] = P(Z' ≤ 10 / σ[Z]) ≈ P(Z' ≤ 0.0354), where Z' is a standard normal variable.
The probability of Z' being less than or equal to 0.0354 is equal to 0.5120.
Therefore, the probability that two bulbs fail within 10 days of each other is
P(X ≤ Y + 10 and Y ≤ X + 10) = P(X ≤ Y + 10) * P(Y ≤ X + 10) = P(Z ≤ 10) * P(Z ≤ -10) = P(Z ≤ 10)^2 ≈ (0.5120)^2 = 0.2621.
The probability that two bulbs fail within 10 days of each other is 0.2621.
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Rewrite the following polynomial in standard form.
6.22 +1-
1-
1
-2
4
Answer:
Submit Answer
6.22 +1-1-1-2+4= 7.22
Answer:
6.22 +1-1-1-2+4= 7.22
Step-by-step explanation:
Lines p and q are parallel.
Parallel lines p and q are cut by transversals r and s. At the intersection of lines p, r, and s, clockwise from top left, the angles are blank, 93 degrees, blank, blank, 1, 60 degrees. At the intersection of lines q and s, the angles are blank, 2, blank, blank. At the intersection of r and q, the angles are 3, blank, blank, blank.
What is the measure of angle 2 in degrees?
27°
33°
60°
93°
Answer:
It's 60 degrees. if you look carefully at the image, there is 2 angles. it can't be 93 since it is way too narrow.
Step-by-step explanation:
I'm on the question on edge, ill keep you updated if it's wrong.
update: it was correct. hope this helped!
Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°
What is the Alternate Interior Angles Theorem?The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.
Angle 2 and 60° are alternate interior angles, therefore:
Angle 2 = 60° [alternate interior angle theorem].
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A rectangle is drawn, with its adjacent sides chosen from independent and identically distributed uniform distributions over the interval [0, 1]. What is the probability that the area of the rectangle is more than 1/2?
Pick one of the choices 1/4 1/2
112 (1+In2)/2 None of the Above
Answer:
None of the provided choices accurately represents the probability that the area of the rectangle is more than 1/2.
Step-by-step explanation:
To find the probability that the area of the rectangle is more than 1/2, we need to consider the possible combinations of lengths for the adjacent sides of the rectangle. Since the sides are chosen from independent and identically distributed uniform distributions over the interval [0, 1], we can think of it as randomly selecting two numbers from the interval [0, 1] to represent the lengths of the sides.
The area of a rectangle is given by the product of its length and width. Let's assume that the length of the rectangle is represented by X and the width by Y. To calculate the probability that the area is more than 1/2, we can find the probability that X * Y > 1/2.
Since X and Y are uniformly distributed over the interval [0, 1], their joint probability density function is f(x, y) = 1 for 0 ≤ x, y ≤ 1.
To find the desired probability, we need to integrate the joint density function over the region where X * Y > 1/2.
Integrating the joint density function over this region will give us the probability of interest. However, the calculation involves solving a double integral, which is beyond the scope of a simple multiple-choice answer format.
Therefore, none of the provided choices accurately represents the probability that the area of the rectangle is more than 1/2.
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The number of breakdowns of a machine In a manufacturing plant has a Poisson distribution with mean of two breakdowns per month. a) Find the probability that there will be less than 3 breakdowns during the next three months. (keep at least 3 decimal places) b) Assume that the machine will not be used if it has more than 4 breakdowns in two months. What is the probability that 8 out of such 10 machines will not be used during the next two months? Assume machines work independently. (keep at least 3 decimal places)
a) The probability of having less than 3 breakdowns during the next three months is approximately 0.6767.
To find the probability of having less than 3 breakdowns during the next three months, we can use the Poisson distribution formula:
P(X < 3) = e^(-λ) * (λ^0/0!) + e^(-λ) * (λ^1/1!) + e^(-λ) * (λ^2/2!)
Here, λ is the mean number of breakdowns per month, which is 2.
Substituting the value of λ into the formula, we have:
P(X < 3) = e^(-2) * (2^0/0!) + e^(-2) * (2^1/1!) + e^(-2) * (2^2/2!)
Calculating each term:
P(X < 3) = 0.1353 + 0.2707 + 0.2707 = 0.6767
b) The probability that 8 out of the 10 machines will not be used during the next two months is approximately 0.000128.
If each machine works independently and there are 10 machines, we can consider the probability for each machine not being used (having more than 4 breakdowns in two months) and then multiply those probabilities together.
The probability of a single machine not being used is:
P(not used) = P(X > 4)
Using the Poisson distribution formula with a mean of 2 breakdowns per month:
P(not used) = 1 - [P(X ≤ 4)]
P(not used) = 1 - [e^(-2) * (2^0/0!) + e^(-2) * (2^1/1!) + e^(-2) * (2^2/2!) + e^(-2) * (2^3/3!) + e^(-2) * (2^4/4!)]
Calculating this probability, we find:
P(not used) = 0.1429
The probability that 8 out of 10 machines will not be used is calculated by raising the probability of a single machine not being used to the power of 8 (since each machine's status is independent):
P(8 out of 10 not used) = (P(not used))^8
P(8 out of 10 not used) = (0.1429)^8
Calculating this probability, we get:
P(8 out of 10 not used) = 0.000128
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3 pts Question 20 Brothers, Boy1 and Boy 2, play the following bargaining game to share a pizza. (The same game as the above) In period 1. Boy 1 proposes his share a₁, which is either 50 or 80 (Only two choices and the numbers are percentage). Then, Boy 2 decides whether to accept the proposal. If Boy 2 accepts the proposal, Boy 1 gets a and Boy 2 gets 100-a₁. The game then ends. If Boy 2 rejects the proposal, a cat can show up and steal the whole pizza. Specifically, with probability q. no cat shows up, and the game proceeds to period 2; whereas, with probability 1-q, a cat steals the whole pizza and the game ends leaving no pizza to the boys. In period 2, Boy 2 proposes his share a2, which is either 50 or 80. Then, Boy 1 decides whether to accept the proposal. - If Boy 1 accepts the proposal, Boy 2 gets a2 and Boy 1 gets 100-a2. The game then ends. If Boy 1 rejects the proposal, their mother eats 40 and gives 30 to each boy. Assume that each boy's payoff is the amount of the pizza he gets, and no player discounts his future payoff. Note: neither a cat nor their mother is a player of the game. In period 2, Boy 2 proposes his to accept the proposal. If Boy 1 accepts the proposal, Boy 2 gets a and Boy 1 gets 100-a2. The game then ends. - If Boy 1 rejects the proposal, their mother eats 40 and gives 30 to each boy. Assume that each boy's payoff is the amount of the pizza he gets, and no player discounts his future payoff. Note: neither a cat nor their mother is a player of the game. Select the correct statement from the below. Boy 1 does not get a lower payoff than Boy 2 in the SPE under any q. Which boy gets strictly higher payoff depends on q. Boy 2 does not get a lower payoff than Boy 1 in the SPE under any q. Both boys get the same payoff in the SPE under any q.
Depending on q, the boy who gets a strictly higher payoff in the SPE is different. The correct statement is: Which boy gets strictly higher payoff depends on q.
First we will find the Subgame Perfect Equilibrium (SPE) of the game.
Subgame 1: Let's find the SPE of the first subgame. Boy 1 proposes a deal.
There are only two possible deals, so we can compute the payoff for each.
If a = 80, Boy 2 will accept, because he gets 20 and Boy 1 gets 80.
If a = 50, Boy 2 will reject, and the game will move on to subgame 2.
For subgame 2, Boy 2 proposes a deal.
There are only two possible deals, so we can compute the payoff for each.
If a = 80, Boy 1 will reject, because he gets 20 and Boy 2 gets 80.
If a = 50, Boy 1 will accept, because he gets 50 and Boy 2 gets 50.
Payoffs of each player for each decision rule:
Now let's analyze the payoffs of the boys in the SPE under any q.
When q < 0.5, there is a high probability that the cat will come and steal the pizza in subgame 1, so Boy 1's best offer is 50.
In subgame 2, Boy 2's best offer is 50, because Boy 1 is indifferent between 50 and 80, but 50 provides a higher expected payoff in case the pizza is stolen.
When q > 0.5, there is a high probability that the game will move on to subgame 2, so Boy 1's best offer in subgame 1 is 80.
In subgame 2, Boy 1's best offer is 50, because Boy 2 is indifferent between 50 and 80, but 50 provides a higher expected payoff in case the pizza is stolen
The correct statement is: Which boy gets strictly higher payoff depends on q.
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There are two other ways to write this fraction.
−15/29
List them in the space below. PLSSSS HELPPP anyone I know one is decimal, but whats the other one? . . . anyone????
Answer:
Try doing the ratio
Step-by-step explanation:
like it would be -15 to 20
What is the Image of the point (1,3) after a counterclockwise rotation of 270 degrees?
Answer:
(3,-1)
Step-by-step explanation:
(y,-x) is the "formula" to use on this ordered pair to find the counterclockwise rotation of 270 degrees (you should probably memorize these for your test). This means that (1,3) would become (3,-1) after flipping the x- and y-coordinates and making the x-coordinate negative.
The image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).
The given coordinate point is (1, 3).
We need to find the image of the point (1,3) after a counterclockwise rotation of 270°.
What is rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
When we rotate a figure of 270° counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
So, points (1,3) changed to (3, -1).
Therefore, the image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).
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what ratio is equivalent to 32:40
Answer:
=4/5
Step-by-step explanation: have a nice day!
Answer:
80%
cuz i said so. and google. google's great. :)
Consider the following as your scores in 5 quizzes in statistics & probability
Population:10,7,8,9 and 8
Sample:7,8,9
The sample consists of three scores: 7, 8, and 9. The mean is 8, the median is 8, there is no mode, and the range is 2.
In statistics and probability, a sample refers to a subset of a population that is used to make inferences or draw conclusions about the entire population. In this case, the sample consists of the scores you obtained in 5 quizzes. The scores are as follows: 7, 8, and 9.
To analyze this sample, there are several key measures that can be calculated:
1. Mean: The mean, also known as the average, is calculated by summing up all the scores and dividing it by the number of scores. In this case, the mean can be calculated as (7 + 8 + 9) / 3 = 8.
2. Median: The median is the middle value when the scores are arranged in ascending order. In this case, since there are three scores, the median is the middle score, which is 8.
3. Mode: The mode is the score that appears most frequently in the sample. In this case, none of the scores repeat, so there is no mode.
4. Range: The range is the difference between the highest and lowest scores in the sample. In this case, the highest score is 9 and the lowest score is 7, so the range is 9 - 7 = 2.
5. Standard Deviation: The standard deviation is a measure of how spread out the scores are from the mean. It quantifies the amount of variation or dispersion in the sample. To calculate the standard deviation, you would need the full set of scores, not just the three provided.
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help pls....................................
Answer:
Answer 1 is 3712000000
answer 2 is 8.624X10^10
answer 3 is 820
answer 4 is 380
answer 9 is 9200
answer 10 is 400
answer 11 is 8832000000
answer 12 is 1.3104X10^10
The measures of two complementary angles are represented by (x) and (x +20), what is the number of degrees in the measure of the smaller angle?
1. 35
2. 55
3. 80
4. 100
Angle measure of the smaller angle in two complement angles = x
Angle measure of the bigger angle = x + 20
Their sum = 90° ( the sum of two complementary angles is always equal to 90° )
This can be written in an equation as =
= x + x + 20 = 90
= 2x + 20 = 90
= 2x = 90 - 20 ( transposing +20 from LHS to RHS changes +20 to -20 )
= 2x = 70
= x = 70 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )
= x = 35
Then the value of the smaller angle = x = 35°
The value of the bigger angle = x + 20 = 35 + 20 = 55°
Therefore , the measure of degrees in the the smaller angle is :
1. 35°a)
How many units of D do you need to make one unit of A?
b) How many units of D do you need to make 1 unit of C?
c) How many units of E do you need to make 10 units of A given
that we already have 5 Level 0 2 3 D (2) Product structure for "Awesome" (A) A B(2) Std. 12" Speaker kit E(2) 12" Speaker Packing box and installation kit of wire, bolts, and screws E(2) C(3) Std. 12" Speaker kit w/ amp-boo
To determine the unit requirements for producing A and C from D and E, the problem provides a product structure and inventory information. The number of units of D needed to make one unit of A is not explicitly given. However, it can be inferred by analyzing the product structure and inventory quantities. The number of units of D needed to make one unit of C is also not directly specified. However, by examining the product structure, we can determine the relationship between C and D. Finally, to produce 10 units of A, the number of units of E required can be calculated based on the given inventory levels and the product structure.
a) the number of units of D required to make one unit of A is not explicitly stated. The given information provides a product structure that includes A, B, D, E, and C. To determine the unit requirements for A, it would be necessary to examine the specific relationship between A and D. However, without this information, the exact number of units of D needed for one unit of A cannot be determined.
b) similarly, the number of units of D required to make one unit of C is not explicitly given in the problem statement. To determine this relationship, the product structure needs to be examined more closely. The information provided suggests that C is connected to D through E. However, the exact quantity of D required to produce one unit of C cannot be determined without additional information.
c) To calculate the number of units of E needed to produce 10 units of A, we can analyze the given inventory levels and product structure. The problem states that there are 5 units of D available. To produce A, we require B and E. However, the number of units of B available is not specified. Considering the product structure, it is indicated that each unit of A requires 2 units of B and 2 units of E. Thus, to produce 10 units of A, we would need 20 units of B and 20 units of E. However, since the availability of B is unknown, the exact number of units of E needed cannot be determined with the given information.
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pls help thank you
168 = -84n
Answer:
n = -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Plz help me.
Solve the system of linear equations by substitution
X+y=-7
-5x+y=5
Answer:
x= -2 y= -5
Step-by-step explanation:
X+y=-7
x+-y-7
-5(-y-7)+y=5
5y+35+y=5
6y+35=5
6y=5-s5
6y=-30
y=-5
-5x+(-5)=5
-5x=5+5
-5x=10
x=-2
The telephone company offers two billing plans for local calls. Plaz 1 charges $21 per month for unlimited calls and Plan 2 charges $18 per month plus $0.04 per
call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2
b. Explain the meaning of the answer to part a.
Answer:
more than 200 calls
Step-by-step explanation:
Suppose number of calls = x
According to plan 1: Total monthly charge is $24
According to plan 2: Fix charge is $16 and $0.04 per call
cost of x's call = $0.04x
and monthly charge according to plan 2 = 0.04x + 16
a) Plan 1 is more economical than plan 2.
0.04x + 16 > 24
solve it for x
.04x > 8
x > 200
b) So, if more than 200 calls are made then Plan 1 is more economical.
which of the following is the graph of the inequality below?.
The terminal ray of a 300° angle lies in the
This angle measures
i radians.
quadrant.
Answer: fourth
Step-by-step explanation: the terminal ray of a 300 angle lies in the FOURTH quarter.
This angle measures (5/3) radians.
Answer:
-fourth
-5/3pi
Step-by-step explanation:
What annual interest rate would you need to earn if you wanted a
$600 per month contribution to grow to $45,000 in six years? (Round
your answer to 2 decimal places.)
To calculate the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years, we can use the formula for future value of an annuity: FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuityPMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.
Using the given values, we have:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use trial and error or a financial calculator. Here, we will use a financial calculator.
To solve this problem, we will use the formula for future value of an annuity:FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuity PMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.
We are given:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use a financial calculator or trial and error. Here, we will use a financial calculator. We enter the values into the financial calculator and solve for r. We get
:r = 8.81% (rounded to two decimal places)Therefore, the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.
The annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.
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PLEASE HELP MEEEEEEEEEE
Answer:
The thousandth goes past the decimal point 3 places.
This would be the first option, i.e. 22.524 :)
