Answer:
D) 117
Step-by-step explanation:
All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.
What is the end behavior of the polynomial
Answer:
As x --> ∞, then y --> - ∞
Step-by-step explanation:
As the value of x increases(as the graph goes right), the graph seems to go down, meaning the y-values are getting more an more negative. This means that as x approached infinity, the y values approach negative infinity ( x --> ∞, y --> - ∞ ).
As the value of x decreases(going to the left), the graph seems to go higher and higher. Therefore, as x approaches negative infinity, the y-value approach infinity. ( x --> - ∞, y --> ∞ )
Out of the options given, the one As x --> ∞, then y --> - ∞ is true.
Find the value of x and the measure of ZMNQ. (Example 2)
m/MNQ+m/QNP
= 90°
_ = 90°, so 3x + __________ = 90°. M
+
Then 3x =_________, and x =______
m/MNQ = 3x - 13° = 3(___________) — 13°
— — 13°
=
ESSENTIAL QUESTION CHECK-IN
3x 13°
58°
N
Please help me!
The value of the angle <MNQ is 32 degrees
What are complementary angles?Complementary angles are described as pair of angles that sum up to 90 degrees.
From the information given, we have that;
The pair of angles are;
<MNQ and <QNP
Given that the value of the angles are;
<MNQ = 3x - 13
<QNP = 58
Equate the angles, we have;
3x - 13 + 58 = 90
Now, collect the like terms
3x = 90 - 45
Subtract the values
3x = 45
Divide the values by 3
x = 15
Substitute the values
<MNQ = 3(15) - 13
expand
<MNQ = 32 degrees
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explain what is wrong with the following statement.
"Last year we had 80 students attend a concert. This year we have a 50% increase or a total of 160 students attend."
Answer:
If you had 80 students attend a concert and the next year you had 160 students attend, that is a 100% increase but if it increased by 50%, there would be 120 students attend. So the wrong part is the '50%'
Given the regression equation y-hat = 15.6 - 3.8x, the predicted y for x = 3 is ___________.
Work Shown:
y = 15.6 - 3.8x
y = 15.6 - 3.8*3
y = 4.2
Si hace 10 años las edades de Ana y su madre eran 15 y 40, respectivamente, ¿cuál es la razón entre las edades actuales de ambas?
Opciones:
1/2
5/30
3/8
15/40
Answer:
3:8
Step-by-step explanation:
15:40
Work out the same by simplifying which they both go in 5
then doing that you can get 3/8 Or 3:8.
Hope it helps!
Spanish:
Resuelve lo mismo simplificando lo que ambos van en 5
luego haciendo eso puedes obtener 3/8 o 3: 8.
Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay
Answer: c. during several storms, there were five hours of delay for every eight hours of rain
Step-by-step explanation: i just had this question
A water sample shows 0. 017 grams of some trace element for every cubic centimeter of water. Riley uses a container in the shape of a right cylinder with a radius of 5. 7 cm and a height of 13. 6 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Riley collected? Round your answer to the nearest tenth
Riley has collected approximately 22.7 grams of the trace element in his sample.
To calculate the amount of trace element collected by Riley, we first need to find the volume of the cylinder-shaped container that he used. The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
Plugging in the values given in the problem, we get:
V = π(5.7 cm)²(13.6 cm)
V ≈ 1338.6 cubic centimeters
Since the sample contains 0.017 grams of the trace element per cubic centimeter of water, we can find the total amount of trace element collected by multiplying the volume of the sample by the concentration of the trace element:
0.017 grams/cubic centimeter × 1338.6 cubic centimeters ≈ 22.7 grams
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I need help asap!!!!!
Which of the following possibilities will form a triangle? (5 points)
Side = 15 cm, side = 6 cm, side = 8 cm
Side = 15 cm, side = 6 cm, side = 9 cm
Side = 16 cm, side = 9 cm, side = 6 cm
Side = 16 cm, side = 9 cm, side = 8 cm
Answer:
16 cm, side = 9 cm, side = 8 cm
Step-by-step explanation:
For the function
f(x)=(x²+5x+4)²
f′(x) =
f′(2)=
The derivative of the function f(x) can be found by applying the chain rule. Evaluating f'(x) will yield a new function representing the rate of change of f(x) with respect to x. f'(2) is equal to 128.
To find the derivative of f(x), we apply the chain rule. Let's denote f(x) as u and the inner function x²+5x+4 as g(x). Then, f(x) can be expressed as u², where u=g(x). Applying the chain rule, we have:
f'(x) = 2u * u' = 2(x²+5x+4) * (2x+5)
Simplifying further, we get:
f'(x) = 2(2x²+10x+8x+20) = 4x²+36x+40
To find f'(2), we substitute x=2 into the derivative:
f'(2) = 4(2)²+36(2)+40 = 16+72+40 = 128
Therefore, f'(2) is equal to 128.
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Easy eats diner is a large restaurant chain after paying for a meal at easy eats diner customers are asked to rate the quality of food as a 1,2,3,4,or 5, where a rating of 1 means not good and 5 means excellent the customers ratings have a population mean of
The mean and the standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
Population mean 'μ' = 4.57
Sample size 'n' = 7
Population Standard deviation 'σ' =1.82
Mean of the sampling distribution of the sample mean is equal to the population mean,
which is μ = 4.57.
So, μₓ = μ = 4.57.
Standard deviation of the sampling distribution of the sample mean also known as the standard error of the mean.
Using the formula we have,
σₓ = σ / √(n)
Substituting the given values, we have,
⇒ σₓ = 1.82 / √(7)
⇒ σₓ = 1.82 / 2.646
⇒ σₓ = 0.6878
⇒ σₓ ≈ 0.69
This implies,
The standard deviation of the sampling distribution of the sample mean is σₓ ≈ 0.69.
Therefore, the mean of the sampling distribution of the sample mean and
standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
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The above question is not complete, the complete question is:
Easy Eats Diner is a large restaurant chain. After paying for a meal at Easy Eats Diner, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of μ = 4.57, with a standard deviation of σ=1.82. Suppose that we will take a random sample of n= 7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x.
Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.
(a) Find μₓ(the mean of the sampling distribution of the sample mean). ?
(b) Find σₓ (the standard deviation of the sampling distribution of the sample mean). ?
the table shows ordered pairs of the function y=16+0.5x. Which ordered pair could be the missing values represented by (x,y)?
Answer:
(2,17)
Step-by-step explanation:
This is because x is the input and y is the output. All you have to do is create a value for x the substitute it in the equation. Next solve for y 0.5 times 2 is 1, plus 16 is 17. Then just put your values in an order pair.
Answer:
8,20
Step-by-step explanation:
A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table:
Number of portions 5 3 8 6 1 4
Number of calories 250 150 400 300 50 200
What does the slope of the model represent?
The number of calories in each portion of fish sticks
The number of fish sticks in each portion
The original number of portions of fish sticks
The price of each portion of fish sticks
Solution: A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table below:
Number of portions
5 3 8 6 1 4
Number of calories
250 150 400 300 50 200
What does the slope of the model represent?
Answer: The number of calories in each portion of fish sticks
Answer:
The number of calories in each portion of fish sticks
Step-by-step explanation:
Hope this helps! God bless :)
in a sale, the price of a computer is reduced by 20%. At this reduced price the shopkeeper still makes a profit of 20%. What would have been his percentage profit if the computer had been sold at full price?
Based on the price the computer was reduced by and the profit the shopkeeper still made, if the computer was sold at full price, the profit percentage would have been 50%.
What would the profit have been at full price?First assume a price the computer was sold at. We'll go with $100.
At this price, the shopkeeper still made a profit of 20% which means that the cost price was;
= 100 / (1 + 20%)
= $83.33
Based on the discounted price of $100, the full price was:
= 100 / (1 - 20%)
= $125
The profit the shopkeeper would have made is:
= (Full price - Cost price) / Cost price x 100%
= (125 - 83.33) / 83.33 x 100%
= 50%
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The lines below are perpendicular. If the slope of the green line is ą, what is
the slope of the red line?
Answer:
See below
Step-by-step explanation:
If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}
Hope this helps
The lines are perpendicular and the slope of the red line is m₂ = -2/3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m₁ = 3/2
So , the slope of the green line is m₁ = 3/2
Since the lines are perpendicular to each other , the product of their slopes will be equal to -1
And , m₁ x m₂ = -1
So , ( 3/2 ) x m₂ = -1
Multiply by ( 2/3 ) on both sides , we get
m₂ = ( -2/3 )
Therefore , the slope of the red line is ( -2/3 )
Hence , the slope of the red line m₂ = ( -2/3 )
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The complete question is attached below :
The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?
Riley can paint 1/5 a room in 1/10 of an hour. At what rate does she paint?
Answer:
Working together, Bill and Tom painted a fence in 8 hours. ... Ben can wash 500 dishes in 2 hours, so, by dividing, I find that he can do 250 ..
what is the probability that randomly selected individuals will have a mean weight of at least pounds? type as:
The probability that randomly selected individuals will have a mean weight of at least 170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.
Given,
Mean, μ = 172 lb
standard deviation, s = 29 lb
n = 50
and we have to determine: P(x < 170 lb)
Initially, Using the z score formula we find the z value corresponds to a sample mean of 170
z = (x - μ)/(\(s/\sqrt{n}\)) = \(\frac{170-172}{\frac{29}{\sqrt{50} } }\) = -0.48
Now, using the z table to locate the probability:
P(x < 170) = P(z < -0.48)
or P(z < -0.48) = 0.3156 = 31.56 %
Therefore, the probability that randomly selected individuals will have a mean weight of at least 170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.
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The complete question is:
Assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected, what is the probability that randomly selected individuals will have a mean weight of at least 170 pounds?
is an altitude in triangle wxz. if δywz ~ δyxw, what is true about xwz?
What is true about ΔXWZ is that the ratio of its altitude to the corresponding altitude in ΔYWZ is equal to the ratio of the length of XW to the length of YZ.
If ΔYWZ is similar to ΔYXW, it means that these two triangles have corresponding angles that are equal and corresponding sides that are proportional. In this case, we are specifically interested in the altitude of ΔWXZ, which we will denote as h.
Since ΔYWZ is similar to ΔYXW, we can establish the following proportion based on their corresponding sides:
YZ/YX = YW/YW
Let's denote the length of YZ as a and the length of YW as b. We can rewrite the proportion as:
a/YX = b/YW
Now, let's consider ΔXWZ. Since XW is common to both triangles, we can conclude that the altitude of ΔXWZ, which we will denote as k, is also proportional to the altitude of ΔYWZ (h). Therefore, we can express this proportion as:
k/h = XZ/YZ
To establish a relationship between k and h, we need to find a way to relate XZ to YZ. Using the proportion established earlier, we can substitute a for YZ:
k/h = XZ/a
To relate XZ to YZ, we need to find a relationship between XZ and YX. Again, using the similarity of the triangles, we have:
XZ/YZ = XW/YW
Substituting the value of YZ (a) from the earlier proportion, we have:
XZ/a = XW/YW
Now, we can combine the two proportions to find the relationship between k and h:
k/h = (XW/YW) * (YW/a)
Simplifying further, we get:
k/h = (XW/a)
From this equation, we can conclude that the ratio of the altitudes k/h in ΔXWZ and h in ΔYWZ is equal to the ratio of XW to YZ. In other words, the ratio of the altitudes is equal to the ratio of the corresponding sides in the similar triangles.
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What is the slope of the line that passes through the points (9, -5) and (1, -1)? Write your answer in simplest form.
The slope of the line on the graph is -1/2
How to determine the slope?The given parameters are the points on the line
From the above line, we have the following points
(x₁, y₁) = (9, -5)
(x₂, y₂) = (1, -1)
The slope of a line can be calculated using the following slope formula
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x₁, y₁) = (9, -5) and (x₂, y₂) = (1, -1)
Substitute the known values in the above equation
So, we have the following equation
Slope = (-1 + 5)/(1 - 9)
Evaluate the quotient
Slope = -1/2
Hence, the slope is -1/2
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Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1 2 cups of sugar for the cake and 1 1 4 cups of sugar for the vanilla glaze. How many 1 4 -cup scoops of sugar does he need? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1 /2 cups of sugar for the cake and 1 1/ 4 cups of sugar for the vanilla glaze. How many 1 /4 -cup scoops of sugar does he need? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
15
Step-by-step explanation:
We are given
Mr. Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
The total amount of sugar he would need
2 1/2 + 1 1/4
= (2 + 1) + (1/2 + 1/4)
= 3 3/4 cups of sugar.
We need this amount of sugar in 1/4 cup scoops.
This is calculated as:
let x be the number of scoops needed
x * 1/4 = 3 3/4
x* 1/4 = 15/4 ( 3 3/4 = 15/4)
x= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
the following appear on a physician's intake form. identify the level of measurement: (a) temperature (b) allergies (c) weight (d) happiness level (scale of 0 to 10)
The level of measurement refers to the properties and characteristics of data that determine the type of statistical analysis that can be performed on that data.
There are four common levels of measurement: nominal, ordinal, interval, and ratio.
(a) Temperature: The level of measurement for temperature is interval. This is because temperature has a fixed unit of measurement, but no true zero point (0°C or 0°F does not mean an absence of temperature).
(b) Allergies: The level of measurement for allergies is nominal. This is because allergies are categorized by different types and names, without any inherent order or hierarchy.
(c) Weight: The level of measurement for weight is ratio. This is because weight has a fixed unit of measurement and a true zero point (0 lbs or 0 kg means no weight).
(d) Happiness level (scale of 0 to 10): The level of measurement for happiness level is ordinal. This is because the scale represents an ordered ranking of happiness, but the intervals between the numbers may not be equal or consistent.
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Lucy is shipping 5 boxes that all weigh the same, and 1 envelope that weighs 7. 5 pounds. The total weight of the shipment is 65 pounds. What is the weight, in pounds, of each box?
The weight of each box that Lucy is shipping is 11.5 pounds.
To find the weight of each box, we need to subtract the weight of the envelope from the total weight and then divide by the number of boxes. Here's how to do it step by step:
1. Start with the total weight: 65 pounds
2. Subtract the weight of the envelope:
65 pounds - 7.5 pounds = 57.5 pounds
3. Divide by the number of boxes:
57.5 pounds / 5 boxes = 11.5 pounds per box
So the weight of each box is 11.5 pounds.
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g a simple undirected graph has 10 edges. 2 of the vertices are of degree 4, and the rest of the vertices are of degree 3. how many vertices are in this graph?
Therefore, there are 4 vertices in this graph.
Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.
We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.
If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:
3v + 2 * 4 = 20
3v = 12
v = 4
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Jason and Jerry are competing at a weightlifting competition. They are both lifting barbells containing 200 pounds of plates. Jason's barbell has 4 large and 10 small plates on it. Jerry's barbell has 6 large and 5 small plates on it. How much does each large and each small plate weigh?
Answer:
The weight of :
Large plates = x = 25 pounds
Small plates = y = 10 pounds.
Step-by-step explanation:
Jason and Jerry are competing at a weightlifting competition.
Let us represent the weight of
Large plates = x
Small plates = y
They are both lifting barbells containing 200 pounds of plates. Jason's barbell has 4 large and 10 small plates on it.
4x + 10y = 200.... Equation 1
Jerry's barbell has 6 large and 5 small plates on it.
6x + 5y = 200..... Equation 2
Combining Equations
4x + 10y = 200.... Equation 1
6x + 5y = 200..... Equation 2
We solve using Elimination method
Multiply Equation 1 by 6 and Equation 2 by 4 to eliminate x
24x + 60y = 1200..... Equation 3
24x + 20y = 800.... Equation 4
Subtract Equation 4 from Equation 3
40y = 400
y = 400/40
y = 10 pounds
Solving for x using Equation 1
4x + 10y = 200.... Equation 1
4x + 10(10) = 200
4x + 100 = 200
4x = 200-100
4x = 100
x = 100/4
x = 25 pounds
Therefore, the weight of
Large plates = x = 25 pounds
Small plates = y = 10 pounds.
A landscaping company mixes its own proprietary blend of topsoil that costs
$29.15 per ton to make. The blend contains soil that costs $27.65 per ton and
organic compost that costs $42.65 per ton. If the company already has 18
tons of soil on hand, how many tons of compost do they need to mix in?
Write your answer as a whole number or as a decimal rounded to the nearest
tenth.
The number of tons of compost that you need to mix in is 1.80 tons.
How many tons of compost is needed?The first step is to form a system of linear equations using the information provided in the question.
$27.65a + $42.65b = (29.15 x 18)
$27.65a + $42.65b = 524.70 equation 1
a + b = 18 equation 2
Where:
a = tons of soil
b = tons of organic compost
In order to determine the value of b, multiply equation 2 by 27.65
27.65a + 27.65b = 497.70 equation 3
Subtract equation 3 from equation 1
15b = 27
b = 27 / 15
b = 1.80
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A basketball player can make 25 free throws in 3.5 minutes. How
many free throws can he make in 12 minutes?
he deepest point in a trench is 24,997 feet below sea level. Elevations below sea level are represented by negative numbers. Part 1 out of 3 Enter the elevation of the trench. The elevation of the trench is feet.
pleasee help will give branielest
The trench descends to a depth of -24,997 feet below sea level, representing its remarkable depth below the surface.
The trench reaches a staggering depth of 24,997 feet below sea level, making it the deepest point in the area.
With elevations below sea level indicated by negative numbers, this particular trench plunges deep into the ocean floor.
Its immense depth is a testament to the remarkable geological features that exist beneath the surface of our planet.
The negative elevation signifies the significant extent to which this trench descends below the average sea level, providing an awe-inspiring example of the Earth's dynamic and diverse topography.
This extreme depth underscores the mysterious and captivating nature of our planet's oceans and their hidden wonders.
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8. if three balanced dice are rolled, what is the probability that all three numbers will be the same?
The probability of rolling three dice and having all three numbers the same is 1/216, or 0.0046.
The probability of rolling three dice and having all three numbers the same is 1/216, or 0.0046. This is because when rolling three balanced dice, the total number of possible outcomes is 6 x 6 x 6, or 216. Therefore, the probability of any one specific outcome, such as all three dice showing the same number, is 1/216. This means that the chances of rolling three dice and having all three numbers the same is 0.0046, or 1/216. This is a very small probability, and it is unlikely that all three dice will show the same number when rolled.
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the linear regression coefficient of x on y is beta. what is the range of regression coefficient of y on x?
The range of the regression coefficient of y on x is (-∞, ∞).
The parameter β (the regression coefficient) represents the amount by which change in x must be multiplied to give the interconnected average change in y or the amount y changes for a unit increase in x. In this manner, it represents the degree to which the line slopes upwards or downwards.
The regression coefficient of x on y, β, represents the change in y per unit change in x. The regression coefficient of y on x, β', represents the change in x per unit change in y.
The range of the regression coefficient of y on x is (-∞, ∞). This is because the relationship between x and y can be positive, negative, or zero, leading to positive, negative, or zero regression coefficients.
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4x + 6y = 9
2x = 4 - 3y
Please explain how you got your answer please. it’ll help me.
Answer:
The answer is no solutions.
Step-by-step explanation:
use systems of equations!
first, rewrite both equations so that the sum or difference includes the same variable.
\(9-4x=6y\\-4+2x=-3y\)
notice how i made sure the coefficients that have x and y respectively line up.
with this, i can cancel out the x variables by making 2, and -4 as -8 (8+-8=0).
rewrite the equation.
\(2(9-4x=6y)\\4(-4+2x=-3y)\\\)
distribute.
\(18-8x=12y\\-16+8x=-12y\)
now we can successfully cancel out the x variable!
\(18=12y\\-16=-12y\)
uh oh! it seems we can also cancel out the y variables..
\(18=0\\-16=0\)
18 is not equal to 0 and neither is -16. because of this, we can conclude there is no solution for this system of equations.
hope this helps!!
const erit to miguel be dibiv art sis IW You deposit $3,000 in a
savings account at 6% interest. If the interest is compounded:
001 = dipnel .02 = thbiW ISVenA Yearly: Answer: $5,372.54
After one year of compounding at a 6% interest rate, you would have approximately $3,180 in your savings account.
To calculate the amount of money you will have in the savings account after one year with compound interest, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years
Let's solve it step by step:
Given:
P = $3,000 (principal amount)
r = 6% = 0.06 (annual interest rate as a decimal)
n = 1 (compounded annually)
t = 1 (one year)
Using the formula:
A = 3000 * (1 + 0.06/1)^(1*1)
A = 3000 * (1 + 0.06)^1
A = 3000 * (1.06)^1
A ≈ $3180
So, after one year of compounding at a 6% interest rate, you would have approximately $3,180 in your savings account.
It seems there was a discrepancy in the answer provided. Based on the given information, the correct calculation yields $3,180, not $5,372.54.
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