What is the FV of $100 invested at 7% for one year (simple interest)? O $107 O $170 O$10.70 $10.07 k
The FV is $107 for the simple interest.
The formula to calculate simple interest is given as:
I = P × R × T
Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.
Formula to find FV:
FV = P + I = P + (P × R × T)
where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.
Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:
FV = 100 + (100 × 7% × 1) = 100 + 7 = $107
Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.
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PLEASE HELP Using the 2 points below, write the slope intercept form equation of the line.
(3,−1) and (0,3)
Answer:
y = -4/3x +3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -(-1))/(0 -3) = 4/-3 = -4/3
The y-intercept is the point for which x = 0. The given point (0, 3) tells us the y-intercept is b = 3.
The slope-intercept form equation is ...
y = mx +b
y = -4/3x +3
Find VX.
V
35⁰
VX =
A7
W
Write your answer as an integer or as a decimal rounded to the nearest tenth.
X
Submit
The value of VX is determined as 2.02 units.
What is trigonometry ratio?Trigonometry ratios are mathematical relationships between the angles and sides of a right triangle.
The short form of trig ratio is SOH CAH TOA;
SOH = opposite/hypotenuse
CAH = adjacent/hypotenuse
TOA = opposite/adjacent
The value of VX is calculated by applying trig ratio of TOA, opposite side and adjacent side.
tan 22 = VX/5
VX = 5 x tan (22)
VX = 2.02 units
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someone pls help tysm if you do<33
Answer:
z = 15
Step-by-step explanation:
(I quit brainly because, they deleted 1000+ answers from my account....) however if I want to see answers than I think I have to answer some questions so I'll answer this one.
First we know that y would be 180.
Therefore CD=90
y-cd=90
90=5z+z
90=6z
90=6(15)
90=90
or
90=5z+z
90=6z
/6 /6
15 = z
z = 15
what expression can be used to find 17% of 58
Answer:
0.17*58
17/100 * 58
Step-by-step explanation: Either one will help solve the problem.
It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Erica’s total profit?
Can i please get some help, I NEED A STEP BY STEP TO FULLY UNDERSTAND THE QUESTION AND YOUR ANSWER
Answer: $20.25
Step-by-step explanation:
If each cupcake is sold for $1, then all the cupcakes are sold together for $30. Now subtract 9.75 from 30 and you get 20.25.
Hope this helps :)
What is a concave hexagon with 2 pairs of congruent sides?
A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.
A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,
it means that four of its sides have the same length, if the shape curves inward at one or more angles,
it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.
Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.
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What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.
The Trigonometric function that can be used to find the value of x is; x = 12/tan(25)
Trigonometric functionsThe triangle given is a right triangle and the angle given is 25°.
The side opposite the given angle is; 12 units.
Hence, it follows from Trigonometry that;
Tan 25 = 12/xHence, x = 12/tan(25).
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(8+2)² HELP ME I NEED IT
Answer:
100 answer
follow me for more best answer
It equals 100
Could I have branliest, heart with 5 stars
Thanks and have a merry Christmas!
what is the value of
PLEASEEEE HURRRRY PLESSSSSSSSS
Part A: Complete the two-way frequency table.
first picture
Part B: Complete the table to show the relative frequencies for each grade category. Round your answer to the nearest thousandth if rounding is necessary.
second picture
Part C: According to the relative frequency table, which grade had the greatest number of students who preferred one of the toppings?
The two way frequency table is discussed below. The table to show the relative frequencies for each grade category is discussed below. According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings.
The completed two-way frequency table is shown below
Cheese Pepperoni Veggie Total
7 20 12 8 40
8 18 16 14 48
Total 38 28 22 88
To find the relative frequency for each grade category, we need to divide each frequency by the total number of students
Cheese Pepperoni Veggie Total
7 0.227 0.136 0.090 0.453
8 0.204 0.181 0.159 0.544
Total 0.431 0.317 0.249 0.997
According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings, with a relative frequency of 0.544.
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is my answer right? if not break the hard news and give me the right one
Answer:
yea ur right, go for it!
Step-by-step explanation:
Please help me!! Thanks!!!
Answer:
yessirrr
Step-by-step explanation:
1. They are all 100 degrees
2. They are once again all 150 degrees
Elie want to now what i the anwer for thi problem for he ciene fair project 21 - 15
The answer for this problem is 6.
The formula to explain this is 21 - 15 = 6. This can be seen by subtracting the 15 from the 21, resulting in 6. You can express this solution using the following mathematical formula:
21 - 15 = 6
This formula reads as follows: 21 minus 15 equals 6.
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Candace is trying to figure out how tall her apple tree is. She is 5.5 ft and her shadow is 10 ft, while the apple tree's shadow is 32 ft, at the same time of day. Using that information, approximately how tall is the apple tree?
a. 19.3 ft
b. 14.4 ft
c. 16.5 ft
d. 17.6 ft
The height of the apple tree is 17.6 feet. Therefore, the answer is option d.
How to find the height of the apple tree?Candace is trying to figure out how tall her apple tree is. She is 5.5 ft and her shadow is 10 ft, while the apple tree's shadow is 32 ft, at the same time of day.
Therefore, using proportional relationship, let's find the height of the apple tree.
let
x = height of the apple tree
Hence,
5.5 / 10 = x / 32
cross multiply
32 × 5.5 = 10x
176 = 10x
divide both sides by 10
x = 176 / 10
x = 17.6
Therefore,
height of the apple tree = 17.6 ft
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suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. how many customers should the company survey in order to be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?
The company should survey at least 601 customers to be 95% confident that the estimated proportion is within 4 percentage points of the true population proportion.
To determine the sample size needed, we can use the formula:
n = (z^2 * p * (1-p)) / E^2
where:
n is the sample size needed
z is the z-score for the desired confidence level (in this case, 1.96 for 95% confidence)
p is the estimated population proportion (we don't have an estimate, so we'll use 0.5, which gives the largest possible sample size)
E is the maximum margin of error (4 percentage points in this case, or 0.04)
Plugging in the values, we get:
n = (1.96^2 * 0.5 * 0.5) / 0.04^2
n = 600.25
We round up to the nearest whole number to get a sample size of 601.
This means that if the company surveys 601 randomly selected customers and finds that, for example, 60% of them keep up with regular vehicle maintenance, we can be 95% confident that the true proportion of all customers who keep up with regular vehicle maintenance is between 56% and 64%.
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FILL IN THE BLANK. ______- ______ regression makes the sum of the squared prediction errors as small as possible. (enter your answer as two words with a space in between. do not use a comma or a dash in your answer.)
Least squares regression makes the sum of the squared prediction errors as small as possible.
By minimizing the sum of the squared variances among the predicted values of the dependent variable and the actual values, least squares regression is a technique used to determine the line or curve that best fits the connection between two variables. A measure of how well a regression line or curve matches the observed data is the sum of squared prediction errors.
It is determined by adding up the squared discrepancies between each observation's actual and anticipated values for the dependent variable. Finding the line or curve that minimises this sum of squared prediction errors is the objective of least squares regression. The least squares regression line offers the best estimate of the relationship among two variables under consideration by minimising the sum of squared prediction errors. So, because it can aid in locating trends, patterns, and connections between variables in a dataset, least squares regression is frequently employed in statistical modelling and data analysis.
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Find the equation of the line that is tangent to the graph of f(x)=3 x^{2}-5 at x=2 . You should enter the equation in the form y=m x+b
The equation of the tangent line to the graph of f(x) = 3x^2 - 5 at x = 2 is y = 12x - 17.
To find the equation of the line that is tangent to the graph of f(x) = 3x^2 - 5 at x = 2, we need to find the slope of the tangent line and the coordinates of the point of tangency.
1. Find the derivative of f(x) to get the slope of the tangent line:
f'(x) = 6x
2. Evaluate the derivative at x = 2:
f'(2) = 6(2) = 12
3. The slope of the tangent line is 12 at x = 2.
4. To find the y-coordinate of the point of tangency, substitute x = 2 into f(x):
f(2) = 3(2)^2 - 5 = 3(4) - 5 = 12 - 5 = 7
5. The point of tangency is (2, 7).
Therefore, the equation of the tangent line in the form y = mx + b, where m is the slope and b is the y-intercept, is:
y = 12x + b
To find b, substitute the coordinates of the point of tangency (2, 7):
7 = 12(2) + b
7 = 24 + b
b = 7 - 24
b = -17
Hence, the equation of the tangent line is:
y = 12x - 17.
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If the expression 4c + 2b + 4d is subtracted from 3c + 4b + 5d then the answer will be
Answer:
1c 2b 1d
Step-by-step explanation:
did the math
Answer:
c - 2b - d
Step-by-step explanation:
(4c + 2b + 4d) - (3c + 4b + 5d) =
4c + 2b + 4d -3c - 4b - 5d =
c - 2b - d
Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
A company finds that if it charges e dollars for a cell phone, it can expect to sell 1,000 - 2x phones. The company
uses the function - defined by r(t) = < (1,000 – 22) to model the expected revenue, in dollars, from selling cell
phones at dollars each.
Use graphing technology to graph the function r. At what price should the company sell their phones to get the
maximum revenue? Explain your reasoning.
Answer: the company should sell there phones for 250
Step-by-step explanation: took the test
problem 4: Solve for x
The variable x has a value of 3 in the triangle
How to determine the solution of x?The given parameter represents the triangle(s) in the figure
In the triangle, we can see that:
There are two trianglesThe pair of triangles have parallel sidesAlso, the triangles are similar trianglesThe above means that:
The sides of the triangle are in equivalent ratio
This is represented as
4 : 5x - 4 = 4 : 3x + 2
This also means that
5x - 4 = 3x + 2
Collect the like terms
5x - 3x = 4 + 2
Evaluae
2x = 6
Divide
x = 3
Hence, the value of x is 3
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lines l and m are parallel. if angle 3 is 30 degrees, what is the measure of angle 8? responses 150 degrees 150 degrees 30 degrees 30 degrees 180 degrees 180 degrees 60 degrees
Since lines l and m are parallel. Therefore, angle 8 is 30 degrees. So, the correct answer is B).
In general, when two parallel lines are intersected by a transversal, the corresponding angles are congruent. To evaluate the measure of angle 8, we can use the fact that lines l and m are parallel. Angle 3 and angle 8 are corresponding angles, meaning they are in the same position relative to the parallel lines.
Since angle 3 is 30 degrees, angle 8 must also be 30 degrees. This is because corresponding angles are congruent if the lines are parallel. Therefore, the answer is 30 degrees. So, the correct optionis B).
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i need help
solve for a
x = 4
-- All angles of a triangle add up to 180° --
-- the inverse of a trianglenis equal to its opposite angle of intersection--
1) build equation
180° = 20° + (4 + 6x) + (32x + 4)
2) solve
180-20 = 4 + 6x + 32x + 4
160 = 8 + 38x
152 = 38x
152/38 = x
x = 4
verify
180 = 20 + (4 + 6x) + (32x + 4)
180 = 20 + (28) + (132)
180 = 180 so x = 4
Given that n is an integer and that n>1
Prove algebraically that n²-(n-2)²-2 is always an even number.
The expression can be rewritten as:
2*(n - 3)
This is twice an integer number, so this is an even number
How to prove that the expression gives an even number?Here we know that n is an integer larger than 1, and we have the expression:
n² - (n - 2)² - 2
Now, remember that for any integer m, 2m is always an even number.
Expanding the term in the middle of the expression we get:
n² - (n - 2)² - 2
n² - (n² - 4n + 4) - 2
4n - 4 - 2 = 4n - 6 = 2*(n - 3)
Integer numbers are closed under addition, then n - 3 is an integer, so we have:
2*(n - 3)
This is twice an integer, so this is an even number.
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FACTOR: 25x4y2z + 15x2y3
Answer:
(25x * 4y * 2z) + (15x * 2y^3)
10xy(20z + 3y^2)
(if you want working, just comment [too much effort lol])
f(-6) if f(x) = 4x + 7
Answer:
Step-by-step explanation:
write the phase as an algebraic expression
k less than 24
Answer:
k < 24
Step-by-step explanation:
The phrase "k less than 24" can be written as an algebraic expression using the symbol "<" which means "less than."
So, "k less than 24" can be written as:
k < 24
This means that the value of "k" is smaller than 24. For example, if k = 20, then 20 is less than 24, so the statement "k < 24" is true.
If k = 30, then 30 is not less than 24, so the statement "k < 24" is false.
I hope this helps!
- Dante
What is the equation of this line?
A: y=-2x
B: y = ½x
C: y = -½x
D: y = 2x
Answer:
D
Step-by-step explanation:
when x=1, y should = 2
2(1)=2
so y=2x is correct
true or false: rl with linear function approximation will not work on environments having a continuous state space. why?
True, Reinforcement Learning (RL) with linear function approximation may not work effectively on environments having a continuous state space.
The reason behind this is the complexity and high dimensionality of continuous state spaces, which often makes it difficult for a linear function to capture the underlying structure of the environment accurately.
Linear function approximation involves using a linear combination of features to estimate the value function or the optimal policy in RL. While this approach works well for discrete state spaces and simple problems, it struggles to handle continuous state spaces where the relationships between states and actions are more complex and nonlinear.
In such environments, a more sophisticated function approximation technique, such as neural networks or kernel-based methods, might be required to learn and generalize from continuous state spaces effectively. These methods can capture nonlinear relationships, enabling better performance in challenging environments.
In summary, although RL with linear function approximation can work in some cases, it might not be effective in environments with continuous state spaces due to the complexity and high dimensionality involved. More advanced function approximation techniques are typically necessary for successful learning in such situations.
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