A person placed $4080 in an investment
Answers
The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount but after 1 year it will convert into $550.
As per the given,
Principle amount P = $4080
Rate of interest r = 5.7% = 0.057
Time period t = 4 years.
The formula for total value is given as,
V = P[tex]e^{rt}[/tex]
V = 4080[tex]e^{(0.057\times4)}[/tex]
V = $5124.83
Hence "The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83".
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The given question is incomplete complete question follows;
Related Questions
Which represents the inverse of the function f(x)
4x?
O h(x) = x + 4
O h(x) = x -4
O h(x) = ›
h(x) = #x
Answers
Answer: Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
Step-by-step explanation: THERE IS NO EXPLANATION
(hope this helps) :)
a politician who is running for the office of governor of a state with 4 million registered voters commissions a survey. in the survey, 54% of the 5,000 registered voters interviewed say they plan to vote for her. the population of interest is the:
Answers
a. 4 million registered voters in the state where the 5,000 registered voters is drawn from the pool of registered voters.
Options: a. 4 million registered voters in the state
b. 5,000 registered voters interviewed
c. 54 %, voters interviewed who plan to vote for him
d. 46 %, voters interviewed who plan not to vote for him
The population of interest is the group from which a sample set is collected. Here, the 5,000 registered voters is drawn from the pool of registered voters. The people surveyed are representative of the total number of voters. The population of interest here is the 4 million registered voters.
For example, if a survey is carried out to figure out the age that kids start walking, the population of interest is kids in general and not just the children who are surveyed.
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What is the slope of a line perpendicular to the line whose equation is 2x+3y=24
simplify
please help asap love you if u do ;)
Answers
The slope of the line perpendicular to the line whose equation 2x+3y= 24 is 3/2
The equation of the line is
2x+3y = 24
The standard form of the linear equation is
Ax + By = C
Where A, B and C are the integers
By comparing the standard form of the linear equation with the given equation
A = 2
B = 3
C = 24
The slope of the equation in standard form m = - A/B
Substitute the values in the equation
The slope of the equation in standard form m = -2/3
Slope of a line perpendicular to the line = -1/m
= -1/(-2/3)
= 3/2
Hence, the slope of the line perpendicular to the line whose equation 2x+3y= 24 is 3/2
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pls help its urgent!!
Answers
2/5 < 3/7 < 4/9
Write 72.4% as a decimal
Answers
Answer:
0.724
Step-by-step explanation:
percent means ' out of 100 ' , then
72.4% = [tex]\frac{72.4}{100}[/tex] = 0.724
Which number is a MULTIPLE of both 12 and 24?
A: 6
B: 24
C: 12
D: 8
E: 2
Answers
Answer:B - 24
Step-by-step explanation:
12 x 2 = 24
24 x 1 = 24
1) Calculate the perimeter of
this triangle
7cm
4cm
10cm
6cm
Answers
Answer:
23cm
Step-by-step explanation:
in this problem the 4cm actually doesnt matter. so what you can dois 7cm+6cm+10cm=answer
7cm+6cm+10cm=23cm
Starting at sea level, a turtle descends at a constant rate to a depth of -yard relative to sea level in minute.
The turtle continues descending at this same rate.
What is the turtle's depth relative to sea level after the first minute?
Enter your answer as a simplified mixed number in the box
Answers
The turtle's depth relative to sea level after the first minute is 1.2 yards.
Given,
The depth where the turtle descends, d = -3/4 yards
The speed of turtle relative to sea level, t = 5/8 minutes.
We have to find the turtle's depth relative to sea level after the first minute.
The rate at which the turtle descends, r = d/t
r = d/t
r = (-3/4) / (5/8)
r = -3/4 × 8/5
r = -6/5 yards/minute
r = -1.2 yards/min
Now, the depth of turtle after the one minute, D = rt
Where, r = -1.2 yards/min and t = 1 min
Then,
D = -1.2 × 1 = -1.2 yards
That is,
The turtle's depth relative to sea level after the first minute is 1.2 yards
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Graph the polygon with the given vertices and its image after a reflection in the line y=-x . A(0, -3), B(2, 2), C(5,\0)
Answers
The reflection of a coordinate about the y = x will interchange the coordinate thus the reflection of points A(0, -3), B(2, 2), C(5,0) will be A'(-3,0)B'(2,2)C',(0,5).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
It is known that,
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Therefore,
A(0, -3) → A'(-3,0)
B(2, 2) → B'(2,2)
C(5,0) →C'(0,5)
Hence "The reflection of a coordinate about the y = x will interchange the coordinate thus the reflection of points A(0, -3), B(2, 2), C(5,0) will be A'(-3,0)B'(2,2)C',(0,5)".
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Main has $36 to spend on movie tickets. Each movie ticket costs $4.50. How many tickets can she buy? Write a multiplication equation and division equation to represent this situation.
Answers
Answer:
Main can buy 8 tickets.
Step-by-step explanation:
Use the equation total amount ÷ cost of each ticket
Input your information: $36 ÷ $4.50
The equation adds up to 8.
So therefore, Main can buy 8 tickets.
3 c = (2b²)
What is this
Answers
Step-by-step explanation:
I hope this helps you with your answer
Lena is building a fence. She will need to dig up holes to help support the posts that hold up the fence. The holes need to have a depth of 3 1/3 feet below the ground. Each post is 10 feet long. What is the height of the part of the post that is above the ground? PLEASE HELP 100 points
Answers
The height of the part of the post that is above the ground is 10 - 3(1/3)
= 6(2/3) feet.
What is a height?Height is degree of vertical distance, both vertical extent (how "tall" some thing or a person is) or vertical position (how "high" a factor is). For example, "The peak of that constructing is 50 m" or "The peak of an aircraft in-flight is ready 10,000 m". For example, "Christopher Columbus is five foot 2 inches in vertical peak."When the time period is used to explain vertical position (of, e.g., an aircraft) from sea level, peak is greater frequently referred to as altitude.Furthermore, if the factor is connected to the Earth (e.g., a mountain peak), then altitude (peak above sea level) is referred to as elevation.In a two-dimensional Cartesian space, peak is measured alongside the vertical axis (y) among a particular factor and every other that doesn't have the identical y-value. If each factors occur to have the identical y-value, then their relative peak is zero. In the case of 3-D space, peak is measured alongside the vertical z axis, describing a distance from (or "above") the x-y plane.To learn more about height from the given link:
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Suppose that R and S are points on the number line If RS= 10 and R lies at 13 where could S be located
Answers
Considering that R and S are points on the number line If RS= 10 and R lies at 13 then s will lie at
323'What is a number line?A number line is a sequence of numbers arranged at a particular pattern in a straight line
How to find the point of S if R lies at point 13Information gotten form the question have it that"
RS= 10
R lies at 13
In a number line if R lies in point 13 and RS = 10 then we solve as follows
R + | 10 |
13 + 10 = 23
13 - 10 = 3
Hence R lies at point 3 or 13
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if the measure of angle ADC is 59 , what is the measure of angle BDC
Answers
The angle of BDC is 60 degrees.
The Angle Sum Property: What Is It?The angle sum property of a triangle states that the sum of a triangle's three internal angles is 180 degrees. A triangle is a closed figure made up of three line segments that have both internal and external angles. When the values of the other two angles are known, the measure of an unknown interior angle can be determined using the angle sum property.
The data listed above can be inserted into our diagram. ADB and BDC complement one another, therefore their combined degree measurement is 180. Thus, m∠ADB is equal to 180 – 60, or 120 degrees.
Given,
∠ADC = 59
∠BDC = ?
∠ADB = ∠BCD
∠BCD = 90
∠ADB = 90
∠ADC = 59
∠ADB + ∠BDC = 59
90 + ∠BDC = 59
∠BDC = -31
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How to turn “the number with the units digit equal to x and the tens digit three more than the ones digit” into a algebraic problem
Answers
The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X
How to identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths so on...
Given the statement as“the number with the units digit equal to x and the tens digit three more than the ones digit”
We need to convert the statement into the algebraic expression.
We know that unit digit number = X × 1
Then Tens digit number = (3 + X ) 10
Thus, the number = 30 + 10X + X
Hence, the Number = 30 + 11 X
The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X
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Triangle rst is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures? δrst ≅ δacb δrst ≅ δabc δrst ≅ δbca δrst ≅ δbac.
Answers
Triangle RST is rotated 180° about the origin, and then translated up 3 units. Then , ΔRST ≅ ΔBAC
We know that To rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y).
Thus, The coordinates of triangle RST becomes
R (1,1) → R'(-1,-1)
S (3,4) → S'(-3,-4)
T(-5,0) → T'(5,0)
Also ΔRST after rotation is translated up 3 units. , so we apply the rule (x,y)→(x,y+3)
R'(-1,-1)→R"(-1,-1+3)=R"(-1,2)→ B
S'(-3,-4) → S"(-3,-4+3) = R"(-3,-1) → A
C'(-5,0) → C"(-5,0+3) → C"(-5,3) → C
As rotation and translation both are rigid transformation that maps only congruent figures.
Therefore, ΔRST ≅ Δ BAC
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Convert the following repeating decimal to a fraction in simplest form .38
Answers
19/50.
Simplify both the numerator and denominator by 2 (greatest common factor).
The answer is : 7/18
Step by step:
(0.38 x 10) - 0.3/9
3.5 = 35
---- ----
9 90
= 7/18
What is 1 as a power of 10
Answers
Answer:
Step-by-step explanation:
1 to the 10th power is 1.
If you need some more help here’s a problem 3 to the 3rd power what you are doing is
3x3x3
3 time 3 is 9 and 9 times 3 is 27 so 3 to the 3rd power is 27
What polynomial identity should be used to prove that 61 = 125 − 64?
a
Difference of Cubes
b
Difference of Squares
c
Square of a Binomial
d
Sum of Cubes
Answers
The polynomial identity can be used to prove that 61 = 125 − 64 is the difference between cubes therefore, option (a) is correct.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given polynomial,
61 = 125 - 64
It is known that a³ = a × a × a
Therefore, 5³ = 5 × 5 × 5 = 125
And, 4³ = 4 × 4 × 4 = 64
Therefore, 61 = 5³ - 4³
Hence "The polynomial identity can be used to prove that 61 = 125 − 64 is the difference between cubes".
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How to find the square root of [tex]\sqrt{28[/tex]
Answers
The value of square root of √28 will be;
⇒ 4√7 = 5.28
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The number is,
⇒ √28
Now,
Let the value of square root of √28 is find as;
Since,
28 = 2 x 2 x 7
Hence,
⇒ √28 = √2 x 2 x 7
⇒ √28 = 2√7
⇒ √28 = 2 x 2.64
⇒ √28 = 5.28
Therefore,
The value of square root of √28 will be;
⇒ 4√7 = 5.28
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1 7
_ + _
6 10
Ayuda por favor
Answers
Answer: no entiendo la estructura de la operacion
Step-by-step explanation:
Write the inequality for the statement: the difference between a number and seven eighths exceeds negative two thirds f plus 7 over 8 is greater than 2 over 3 f minus 7 over 8 is less than or equal to negative 2 over 3 f minus 7 over 8 is greater than negative 2 over 3 f minus 7 over 8 is less than negative 2 over 3
Answers
The inequality for the statement: the difference between a number and seven eighths exceeds negative two thirds is g - 7/8 > -2/3.
The correct answer option is option c
How to write inequality equation?Let
The unknown number = gdifference between a number and seven eighths
g - 7/8
difference between a number and seven eighths exceeds negative two thirds
g - 7/8 > -2/3
The options;
A. g plus 7 over 8 is greater than 2 over 3
g + 7/8 > 2/3
B. g minus 7 over 8 is less than or equal to negative 2 over 3
g - 7/8 ≤ -2/3
C. g minus 7 over 8 is greater than negative 2 over 3
g - 7/8 > -2/3
D. g minus 7 over 8 is less than negative 2 over 3
g - 7/8 < -2/3
So therefore, the inequality statement can be written as g - 7/8 > -2/3.
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The function H(X) equals 0.6X plus 3.8 models the height in inches of a stack of X cups. What key features is at H(0)?
Answers
The key feature of the function H(X) = 0.6X + 38 at H(0) is 3.8
Function:
A function is defined as the an expression, rule, or law that defines a relationship between one independent variable and another dependent variable.
Given,
Here we have the function H(X) = 0.6X + 3.8 models the height in inches of a stack of X cups.
And we need to find the key features is at H(0).
To find the key feature at H(0), then we have to simple apply the value of X as 0,
Like the following, we have to replace the X value in the function with 0, then we get the expression like the following,
=> H(0) = 0.6(0) + 3.8
=> H(0) = 0 + 3.8
H(0) = 3.8
Therefore, the key feature at H(0) is 3.8.
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If line q bisects KM at point V, KV = 2.5z,
and VM = 5z - 10, find KM. No
Answers
The value of KM is 20
What is segment bisector ?A line, ray, line segment, or point that cuts a line segment at its center and divides it into two equal portions is known as a segment bisector. A segment is a section of a line with definite ends, which is also how the word segment is sometimes used. Any object or line is divided into two equal halves when it is bisected. Consequently, when two line segments cut or bisect each other at a location that divides the lines into equal halves, this is known as a segment bisector.
Given that : The line q bisects KM at point V, KV = 2.5z and VM = 5z - 10
the line q bisects KM at point V so KV = VM
KV = 2.5z
VM = 5z - 10
2.5z= 5z - 10
10 = 2.5z
4 = z
Now put the value of 4 in KV and VM
KV = 2.5(4)
VM = 5(4) - 10
KV + 10
VM = 10
KM = KV + VM
KM = 10 + 10
= 20
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Jeffrey rolled a 12-sided dice 15 times. It landed on a number greater than 10 three times. How
does the experimental probability of Jeffrey's rolls compare to the theoretical probability of
rolling a number greater than 10?
Answers
The experimental probability of the roll is greater than the theoretical probability
How to compare the experimental probability and theoretical probability?
Probability is the likelihood of a desired event happening.
Experimental probability is a probability that relies mainly on a series of experiments.
Theoretical probability is the theory behind probability. To find the probability of an event, an experiment is not required. Instead, we should know about the situation to find the probability of an event occurring.
Given that:
Jeffrey rolled a 12-sided dice 15 times and it landed on a number greater than 10 three times
Experimental probability = 3/15 = 1/5
But theoretically, a number greater than 10 in 12-sided dice have the probability of 2 out of 12 as illustrated with the numbers below:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Theoretical probability = 2/12 =1/6
Therefore, the experimental probability (1/5) of rolling a number greater than 10 is greater than the theoretical probability (1/6)
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Write an expression for the volume of a cube with a side of length 3z^5 Simplify your expression
Answers
The volume of the cube is 27[tex]z^{15}[/tex]
A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.
Here we have to find the volume of a cube
The length of the side is 3[tex]z^{5}[/tex].
The formula for the volume of the cube = a³
where a is the length of the side.
Substituting the value of a we get,
The volume of the cube = (3[tex]z^{5}[/tex])³
= 27[tex]z^{15}[/tex]
Therefore the volume of a cube is 27[tex]z^{15}[/tex].
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The cost of renting a canoe to use on River Y costs $.40 The cost of renting a canoe to use on River Z costs $5 per hour plus a $15 deposit. The total cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.
Answers
Answer:
y=40 z= 5h+15
5 hours to make the same amount of money
Step-by-step explanation:
40-15=25
25/5=5
hope this helped
write each expression as a product
(2x+y)^2-(x-2y)^2
Answers
Answer:3x^ - 3y^ + 8xy (^ is ^2 !!)
Step-by-step explanation:
(2x+y)^ - (x-2y)^(2x+y)(2x+y) - (x-2y)(x-2y)4x^ + 2xy + 2xy + y^ - x^ + 2xy + 2xy - 4y^
A woman has a total of $8,000 to invest. She invests part of the money in an account that pays 11 % per year
and the rest in an account that pays 12% per year. If the interest earned in the first year is $920, how much did
she invest in each account?
Answers
Answer:
Step-by-step explanation:
art I 5.00% per annum ------------- Amount invested =x
Part II 9.00% per annum ------------ Amount invested = y
8000
Interest----- 520.00
Part I 5.00% per annum ---x
Part II 9.00% per annum ---y
Total investment
x + 1 y= 8000 -------------1
Interest on both investments
5.00% x + 9.00% y= 520
Multiply by 100
5 x + 9 y= 52000.00 --------2
Multiply (1) by -5
we get
-5 x -5 y= -40000.00
Add this to (2)
0 x 4 y= 12000
divide by 4
y = 3000
Part I 5.00% $ 5000
Part II 9.00% $ 3000
CHECK
5000 --------- 5.00% ------- 250.00
3000 ------------- 9.00% ------- 270.00
Total -------------------- 520.00
name the sampling method used in this data collection. a polling company wanted to study about hr personnel in tech companies. the pollster selects five tech companies and interviews all hr personnel in each of the 5 companies.
Answers
Cluster Sample is the sampling method used in this type of data collection.
Cluster sampling is a sampling technique used in statistics that divides the total population under consideration into externally homogeneous but internally heterogeneous groupings known as clusters. Each cluster essentially serves as a miniature representation of the overall population.
Using simple random sampling, some clusters are picked after the clusters have been identified, while the remaining clusters are left out of the study. A researcher must determine the right sampling strategy for each cluster after identifying the clusters.
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