The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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30 POINTS PLS HELP
The slope of the linear function y= 5/4x +1/2 is changed to 5/8 where y= 5/8x + 1/2. Identify the transformation required to produce the new slope, state the equation of the transformed function, ande explainw hat the graph of the tranfsformed line look like.
Here is the picture of the question
Answer:
We proceed to use the following operations: (i) Vertical translation downwards (\(k = -\frac{1}{2}\)), (ii) Vertical compression (\(c = \frac{1}{2}\)), (iii) Vertical translation upwards (\(k = \frac{1}{2}\)). The graph is presented below.
Step-by-step explanation:
To transform \(y = \frac{5}{4}\cdot x + \frac{1}{2}\) into \(y = \frac{5}{8}\cdot x + \frac{1}{2}\), we apply the following steps:
(i) Vertical translation downwards (\(k = -\frac{1}{2}\))
\(g(x) = f(x) +k\) (1)
(ii) Vertical compression (\(c = \frac{1}{2}\))
\(g(x) = c\cdot f(x)\) (2)
(iii) Vertical translation upwards (\(k = \frac{1}{2}\))
\(g(x) = f(x) + k\)
Now, we proceed to transform the primitive expression:
Step 1
\(f'(x) = \frac{5}{4}\cdot x\)
Step 2
\(f''(x) = \frac{5}{8}\cdot x\)
Step 3
\(g(x) = \frac{5}{8}\cdot x + \frac{1}{2}\)
The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
If I have:48x"y2-247*y+12'y12yWhat is the first term of my quotlent?O 36cyO 36x²yO 4x²yO 403
Therefore, the first quotient is
\(4x^2y\)help pls thank you
ok byeeee
Answer:
fine, the answer is 38.47 inches squared;why are you getting this from a live quiz? I know it is a live quiz because it probably is FLVS
Step-by-step explanation:
7 divided by 2 = 3.5
3.5 x 3.5 x 3.14 = 12.25 x 3.14 = 38.465
ROUND IT AND GET 38.47
Graph the following equation and then indicate the point of intersection if it exists
The system of equations is graphed in the explanation section
The point of intersection is (1, 3)
Explanations:The given system of equations is:
y = 2x + 1...........(1)
y = 4x - 1...............(2)
The graph representing the system of equations is shown below:
The red line represents y = 2x + 1
The blue line represents y = 4x - 1
The point where the two lines intersect is the solution to the system of equations
The two lines intersect at the point x = 1, y = 3
Therefore the solution to the system of equations is (1, 3)
PLEASE TELL ME WHAT TO WRITE HERE :’))
Answer: (Answer in explanation)
Step-by-step explanation:
(12)B > 180
Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.
So B could equal anything 16 and above but in my case I chose 24
(12)24 = 288 > 180
So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.
(2,-2) and (4,1).
Y=
Answer:
I don't really understand but, the Y coordinate is always on the right side so therefore y= -2, and 1
(xYz)
A man 1.75 meters tall cast a shadow 5.25 meters long. At the same time, a flagpole casts a shadow 120 meters long. How tall is the flagpole?
Answer:
40m
Step-by-step explanation:
5.25 divided by 1.75=3
120 divided by 3=40
Can anybody please help me??
Answer:
1.87
Step-by-step explanation:
multiply the probability then divide by the number of instruments
permieter of 2 rectangles is 54 cm.
work out the area of a square
The Area of Square is 81 cm².
let the side of the square which is length for both rectangles be a.
let the width of rectangle be x and y.
So, x+ y= a
sum of perimeters= 54
2 (a +x ) + 2 (a+ y) = 54
2a+ 2x + 2a+ 2y = 54
2a + 2a + 2(x+ y) = 54
4a + 2 (a) = 54
4a + 2a = 54
6a = 54
a= 54/6
a= 9
So, area of square
= 9 x 9
= 81 cm²
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Angus earns $8.80 an hour at his Saturday job and $7.50 per hour at his after school job. Last week he earned a total of $127.80. The hours he worked after school were four hours more than he worked on Saturday. How many hours did he work on Saturday?
Based on equations, Angus worked 6 hours on Saturday and 10 hours at his after-school job last week earning a total of $127.80.
How the hours are determined:The hourly rate at Angus' Saturday job = $8.80
The hourly rate at Angus' after-school job = $7.50
The total earnings last week = $127.80
Let the hours Angus worked at Saturday job = x
Let the hours Angus worked after-school = 4 + x
The total hours worked = x + x + 4
2x + 4
Equations:The total earnings last week 127.80 = 8.8x + 7.5x + 4 (7.5)
127.80 = 8.8x + 7.5x + 30
127.8 - 30 = 16.3x
Hours worked at Saturday Job:x = 6 hours
Hours worked at After-School Job:x + 4 = 10 hours
2x + 4 = 16 (12 + 4)
Check:
Earnings at Saturday job = $52.80 ($8.80 x 6)
Earnings at after-school job = $75.00 ($7.50 x 10)
Total earnings = $127.80
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The equation of the graphed line is x+2y=5. What is the x-intercept of the graph? A coordinate plane with a line passing through (negative 5, 5) and (5, 0).
Answer choices
A) 2
B) 2.5
C) 5
D) 5.5
Answer:
the answer is... a
Step-by-step explanation:
6. (a) The diagram, not drawn to scale, shows a circle that fits exactly into the square ABCD as shown below. The radius of the circle is 21 cm. 21 cm C [2] Show that the area of the square is 1764 cm. a (ii) Given that = = = determine the area of the shaded region. [3] Total: 5 marks
The given information is:
The radius of the circle is 21 cm
The circle fits exactly into the square.
(i) The radius is half the diameter of the circle, then the diameter is:
\(\begin{gathered} d=2\cdot r \\ d=2\cdot21cm \\ d=42cm \end{gathered}\)As the circle fits exactly into the square, then the measure of the diameter is the same as the measure of the side of the square.
The area of the square is given by:
\(A=s^2\)Where s is the measure of the side. As s=42 cm, then the area is:
\(\begin{gathered} A=(42cm)^2 \\ A=1764cm^2 \end{gathered}\)The area of the square is 1764 square centimeters.
(ii) Given that pi=22/7 determine the area of the shaded region.
To find the area of the shaded region, we need to subtract the area of the circle from the area of the square.
The area of the circle is given by the following formula:
\(A_c=\pi r^2\)As r=21 cm, then A is equal to:
\(\begin{gathered} A_c=\frac{22}{7}\cdot(21cm)^2 \\ A_c=\frac{22}{7}\cdot441cm^2 \\ A_c=1386cm^2 \end{gathered}\)The area of the shaded region is then:
\(\begin{gathered} A_{SR}=1764cm^2-1386cm^2 \\ A_{SR}=378cm^2 \end{gathered}\)The area of the shaded region is 378 square centimeters.
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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Wally and Mike install swimming pools in the summer in a town. They are building a swimming pool that measures 14-1/2 feet wide and 23-1/2 feet long.
(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?
(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy? How much money does he
save?
(a) They will need_____feet of fencing
(Type an integer, proper fraction, or a mixed number)
Answer:
(a) He would need 76 feet of fencing
(b) Kevin should buy the packaged box of 90 feet of fencing for $950.
(c) How much does he save?
For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
Step-by-step explanation:
(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?
From the question, we are told that the swimming pool measures:
14-1/2 feet wide and 23-1/2 feet long.
Perimeter of a fence = 2(L + W)
= 2( 14-1/2 + 23-1/2)feet
= 76 feet
This means he need 76 feet of fencing.
(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?
If : For cut to order fencing
1 foot = $12.40
76 feet =
Cross Multiply
= 76feet × $12.40/1 foot
= $942.4
This means that the cut to order fencing would cost him $942.40
The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .
Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.
How much money does he save?
For the cut to order box
1 feet = $12.40
For the packaged fence,
90 feet = $950
1 feet = x
= 950/90
= $10.555555556
≈ $10.56
Hence, 1 feet of packaged fence = $10.56
Subtracting $10.56 from $12.40
= $12.40 - $10.56
=$ 1.94
Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
This means:
1 feet (packaged fence) = $10.56
76 feet = x
= 76 × $10.56
= $802.56
A ball is dropped from a 32-foot wall. Each time it bounces, it rises half as high as the distance it fell. The ball is caught when it is 2 feet off the ground. How many feet does the ball travel before it is caught?
Answer:
I'm very trick one but I will get back to you
Answer:
The ball traveled 124 feet.
Step-by-step explanation:
It was caught when it was 2 feet off the ground, so when it was first dropped, it was 32 feet, the first bounce was 16 feet, the second bounce was 8 feet, the third bounce was 4 feet, and the fourth bounce was 2 feet. It also travels up and down.
32
+
32
+
16
+
16
+
8
+
8
+
4
+
4
+
2
+
2
____
62 (only down) x2(for up too)
124
I hope this helped! :)
Maybe check over the answer, I don't want you to get this wrong.
Match the scatterplot with correlation coefficient. Write the letter of the scatterplot a/B/C/or D in the appropriate space for 0.341, 0.855, 0.999, -0.721?
The correlation coefficient for each scatter plot displayed is
A = 0.999B = -0.721C = 0.341D = 0.855The correlation coefficient gives the strength and direction of relationship between variables using values between -1 and 1 .
plot A has a very perfect association, hence the value 0.999 , Plot D also depicts a strong association with a well defined trendline . For plot B, the slope is negative, hence, the negative value in the coefficient.
Therefore, the type of correlation can be visually inferred from the graph.
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What is the value of X
Answer:
30
Step-by-step explanation:
60+90=150
180-150=30
A function where the independent variable is an exponent. f(x) = ab^x, where a and b are real numbers with a # 0, b>0, and b # 1
A: exponential growth
B: exponential decay
C: exponential function
Answer:
C
Step-by-step explanation:
C, the answer is exponential function
A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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Simplify 310x + 16y + 310x + 56y ( i need help)
Answer:
\(620x+72y\)
Step-by-step explanation:
\(310x+16y+310x+56y \\ \\ =310x+310x+16y+56y \\ \\ =620x+72y\)
Solve the formula for the specified variable. V =CLS for C
Answer:
To solve for C in the formula V = CLS, we need to isolate C on one side of the equation.
Starting with the given formula:
V = CLS
Divide both sides of the equation by LS:
V/LS = C
Therefore, the formula for C is:
C = V/LS
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
xy
110
28
36
44
Initial value: 12, rate of change: −2
Initial value: 8, rate of change: 2
Initial value: 12, rate of change: 2
Initial value 8, rate of change: −2
Remember that
In a linear equation
y=mx+b
the rate of change is the same that the slope m
and the initial value is b
so
step 1
Find out the slope
we take the points (2,3) and (4,5)
m=(5-3)/(4-2)
m=2/2
m=1
step 2
Find out the equation of the line
y=mx+b
we have
m=1
point (2,3)
substitute and solve for b
3=(1)(2)+b
3=2+b
b=1
therefore
The rate of change is 2 and the initial value is 1Select the correct expressions and value.
Identify the expressions and the value that are equivalent to 6 times 5 squared.
5x 6²
6 x 5
192
6 x 5 x 5
6x5x2
150
6 + 5 x 5
Reset
Next
Answer:
✔️6 × 5²
✔️6 × 5 × 5
✔️150
Step-by-step explanation:
6 times 5 squared is written as 6 × 5²
Thus:
6 × 25 = 150
Evaluate each of the expressions given to determine whether they are equivalent to 150 or not
✔️5 × 6² = 5 × 36 = 180 (NOT EQUIVALENT)
✔️6 × 5² = 6 × 25 = 150 (EQUIVALENT)
✔️192 ≠ 150 (NOT EQUIVALENT)
✔️6 × 5 × 5 = 6 × 25 = 150 (EQUIVALENT)
✔️6 × 5 × 2 = 6 × 10 = 60 (NOT EQUIVALENT)
✔️150 = 150 (EQUIVALENT)
✔️6 + 5 × 5 = 6 + 25 = 31 (NOT EQUIVALENT)
A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).
By applying the features of polynomials, the quadratic function g(x) = (1/5) · x² - 2 · x + 21/5 passes through the points (x₁, y₁) = (-8, 33), (x₂, y₂) = (2, 1) and (x₃, y₃) = (8, 1).
How to derive a quadratic function that passes through three points
Polynomials are algebraic expressions of the form \(\sum \limits_{i=0}^{n} c_{i}\cdot x^{i}\), where \(c_{i}\) is the i-th coefficient of the polynomial and n is the grade of the polynomial. In addition, we know that polynomials have n + 1 coefficients.
In the case of quadratic functions, the grade is 2 and the function have three coefficients. Hence, we need three distinct points to determine all the coefficients of a quadratic function.
(x₁, y₁) = (-8, 33)
64 · a - 8 · b + c = 33 (1)
(x₂, y₂) = (2, 1)
4 · a + 2 · b + c = 1 (2)
(x₃, y₃) = (8, 1)
64 · a + 8 · b + c = 1 (3)
Then, we find the solution of this system of linear equations:
a = 1/5, b = -2, c = 21/5
By applying the features of polynomials, the quadratic function g(x) = (1/5) · x² - 2 · x + 21/5 passes through the points (x₁, y₁) = (-8, 33), (x₂, y₂) = (2, 1) and (x₃, y₃) = (8, 1).
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Olga is using spherical beads to create a border on a picture frame. Each bead has a diameter of 1.5 millimeters. Find the volume of each bead. Round to the nearest tenth.
The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.
The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:
V = (4/3) * π * r^3
where V is the volume and r is the radius of the sphere.
Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:
r = 1.5 mm / 2 = 0.75 mm
Now, we can substitute the value of the radius into the volume formula:
V = (4/3) * π * (0.75 mm)^3
Using the value of π ≈ 3.14 and performing the calculations:
V ≈ (4/3) * 3.14 * (0.75 mm)^3
V ≈ (4/3) * 3.14 * 0.421875 mm^3
V ≈ 1.767 mm^3 (rounded to the nearest tenth)
the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.
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Match each word to its example in the chart.
Vocabulary about Sports Assess-Quie-Level G
A journalist who has a big story due today but
hasn't started it yet
A farmer who puts all his energy toward growing
only tomatoes
A student with the talent and desire to one day
play in an orchestra
A program that uses art to help students learn
science and math
concentrate
integrated
potential
pressure
Why have I matched each word to its corresponding example in the chart based on their meanings?
Pressure refers to the feeling of being stressed or overwhelmed by a task or responsibility, which is applicable to the journalist who has a deadline to meet but hasn't started the story yet.Concentrate means to focus all of one's attention and energy on a specific task or goal, which describes the farmer who puts all their effort into growing tomatoes.Potential refers to the ability or capacity to develop into something in the future, which is applicable to the student with the talent and desire to play in an orchestra.Integrated means to combine or blend different things into a unified whole, which is applicable to the program that uses art to help students learn science and math.Learn more about journalist here,
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I need help with all 4 questions plz
find the possible factor for the estimated product 5,600
89,000 rounded to the nearest thousand
89 thousands?
........................
Answer:
alin question jan
Step-by-step explanation:
wala naman question