The rate of compounding on the investment is 20%.
What is the rate of compounding?
When an amount compounds annually, it means that both the amount invested and the interest accrued increases in value once a year.
The formula that can be used to determine the rate of compounding is: (FV / PV)^(1 /n)
Where:
FV = future value = 125,000 + 91,000 = 216,000PV = present value = 125000n = number of years - 3(216,000 / 125000)^ (1 / 3) - 1 = 20%
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Solve the system of equations.
8x – y = 8
8x2 – y = 8
(0, 8) and (0, –8)
(1, 0) and (0, –8)
(2, 8) and (1, 0)
(3, 16) and (2, 24)
Answer:
(1, 0 ) and (0, - 8 )
Step-by-step explanation:
8x - y = 8 → (1)
8x² - y = 8 → (2)
since both equations are equal to 8 then equate the left sides
8x² - y = 8x - y ( subtract 8x - y from both sides )
8x² - 8x = 0 ← factor out 8x from each term
8x(x - 1) = 0
equate each factor to zero and solve for x
8x = 0 ⇒ x = 0
x - 1 = 0 ⇒ x = 1
substitute these values into (1) and solve for y
x = 0 : 8(0) - y = 8 ⇒ y = - 8 ⇒ (0, - 8 )
x = 1 : 8(1) - y = 8 ⇒ y = 0 ⇒ (1, 0 )
Which triangles are similar?
15
28
62
28
17
Triangle A
37
15
53
9
16
Triangle B
Triangle C
OA. Triangles B and C
OB. Triangles A and B
C. Triangles A and C
D. Triangles A, B, and C
62°
34
Answer:
triangle A andC are the same
A circle has a area of 49 pie cm2 work out its radius
Area of a circle: pi x r^2
49 pi = pi x r^2
49 = r^2
r = +/- 7
---In this case, the radius is a measurement, so the answer must be positive.
r = 7
Hope this helps!
find the circumference of an object. use 3.14 or 22/7 for pi. round to the nearest hundredth if necessary. 9 cm
Step-by-step explanation:
to find the circumference of an object take pie and the radius and multiply it by 2
equation: 2 pie r
if r is 9 the answer is 56.55
9x2=18
18xpie=56.55
PLEASE HELPPPPP ME, IVE BEEN STUCK ON THIS ONE!!..
Answer:
C. 9 minutes 30 seconds
Step-by-step explanation:
well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer
Have a good day! :)
1. Solve the equation using square roots.
x² +10=9
Answer:
x=±√−1 (NO REAL SOLUTION)Step-by-step explanation:
x² + 1 = 0
1× x²+1=0
x=±√(−1×1)
x=±√−1 (NO REAL SOLUTION)
Can someone help me with this??
I need help with this
Answer:
The answer is B
Step-by-step explanation:
f(x) = -3x - 5
g(x) = 4x - 2
= -3x - 5 - (4x - 2)
= -7x - 3
Answer:
B. -7x - 3
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x): -3x - 5
g(x): 4x - 2
f(x) - g(x) = (-3x - 5) - (4x - 2)
= -3x - 5 - 4x + 2
= (-3x - 4x) + (- 5 + 2)
= (-7x) + (-3)
Stan wants to start an ira that will have $250,000 in it when he retires in 25 years. how much should he invest semiannually in his ira to do this if the interest is 6% compounded semiannually? assume an annuity due. round to the nearest cent. a. $2,151.82 c. $2,303.29 b. $2,216.91 d. $4,556.68
Answer:A
Step-by-step explanation:
What is a simpler form of the radical expression?
SOMEONE PLEASE HELP!!
Answer:
Choice B
Step-by-step explanation:
Given radical expression:
[tex] \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]
To Find:
The Simpler form of this expression
Soln:
[tex] = \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]
We could re-write the given expression, according to the law of exponents:
[tex] = \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} } [/tex]
Now we need to bring terms out of the radical as:
[tex] \tt = | 6x { }^{4} y {}^{3} | [/tex]
Bring out 6x^4 from the absolute & put y^3 only in it:
[tex] \tt = 6x {}^{4} |y {}^{3} | [/tex]
Choice B is accurate.
order from the least to the greatest 5 -13 _19 -8 _14 -12
what is the answer to 8^6÷8
Answer:
32768
Step-by-step explanation:
8^6 is 262144
then divide 262144 by 8
so 262144 / 8 = 32768
Hope This Helped
Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles
Answer:
Ans : A. Straight angle
Step-by-step explanation:
Brainliest me pls
#KEEPSAFE
#STUDYWELL
#G'MORNING
Brain
6. What is an equation of the line that passes through the point (6,8)
and is perpendicular to a line with equation y = 3
2x + 5?
(1) y − 8 = 2(x − 6)
(3) y + 8 =
2(x + 6)
(2) y - 8 = -(x − 6)
-
(4) y + 8 =
− ½(x + 6)
Answer:
x = 6
Step-by-step explanation:
y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3
A line perpendicular to this will be a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (6, 8 ) with x- coordinate 6 , then
x = 6 ← equation of perpendicular line
Construct three parallel lines. Then construct two arbitrary non parallel transversal of the parallel lines. Make sure that the transversals cut the three parallel lines at distinct points mark the points of intersection where the transversals cut the parallel lines. Take a screenshot of your construction, save it, and insert the image below.
The image lines constructed are called parallel lines. They are parallel because they are all equidistant to each other at every point and at no point between any of the lines will there be an intersection of the three lines.
What does it mean for two or more lines to be equidistant from each other?Equidistance is simply another word for equal in distance. That is, parallel lines maintain equal distance from each other at all points along them.
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Vector bought 15.6 pounds of paintballs. Ali together, the balls cost 35.99. About how much did the paintball cost per pound
Answer:
about $2.31 per pound
Step-by-step explanation:
35.99/15.6 = 2.30705128205
2.31
Have a good day! :)
-7–2.1n=-3.5n PLEASE ANSWER
Answer:
n=5
Step-by-step explanation:
-7-2.1n=-3.5n
+2.1n +2.1n
-7 = -1.4n
/-1.4 /-1.4
n=5
Hope this helps!
If not, I am sorry
Answer:
b = - 1.25
Step-by-step explanation:
-7 - 2.1n = 3.5n
-7 = 3.5n + 2.1n
-7 = (3.5+2.1)n
-7 = 5.6n
-7/5.6 = n
n = -1.25
Check:
-7 -(2.1*-1.25) = 3.5*-1.25
-7 + 2.625 = -4.375
Graph the equation y =3/5 x on the coordinate plane.
Step-by-step explanation:
See above graph.......
1/2x-20-x = 3(2x - 1) - (2x - 1)
Answer:
x = -4
Step-by-step explanation:
1/2x - 20 - x = 6x -3 -2x +1
-1/2x -20 = 4x -2
-1/2x -4x = -2 +20
-9/2x = 18
9/2x = -18
9x = -36
x = -4
Give brainliest please!
hope this helps :)
Which of the following tables represents a function?
Reason:
Choices A, C and D have repeated x values. It allows us to rule them out.
Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.
Whenever we have repeated x values, it indicates we do not have a function. A function is only possible when each x value goes to exactly one y value only.
Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.
Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, table B is a function.
Side Note: the y values can repeat, but the function won't be one-to-one.
Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. The table shows his data.
A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 36, 34, 30, 31, 23, 16, 11, 5.
Which is the approximate slope of the line of best fit for the data?
Using a calculator, it is found that the approximate slope of the line of best fit for the data is of -4.54762.
How to find the slope of the line of best fit?
The slope is found inserting the points (x,y) in a calculator. In this problem, the points are as follows:
(1, 36), (2,34), (3,30), (4,31), (5,23), (6,16), (7,11), (8,5).
Hence, using the calculator, the slope is of -4.54762.
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Eva wants to estimate the number of rabbits on a farm.
On Monday, she catches 50 rabbits.
These rabbits are tagged and then released.
On Tuesday, she catches 100 rabbits.
12 of these rabbits have tags on them.
Estimate the number of rabbits on the farm.
Estimate the number of rabbits on the farm will be 417 rabbits.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Eva wants to estimate the number of rabbits on a farm.
On Monday, she catches 50 rabbits.
These rabbits are tagged and then released.
On Tuesday, she catches 100 rabbits.
12 of these rabbits have tags on them.
Then estimate the number of rabbits on the farm that will be
Let n be the number of total rabbits. Then we have
12n = 50 x 100
n = 5000 / 12
n = 416.67
n ≅ 417
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What is the slope intercept form of the 2 points (-6,-3) and (6,-7)
pls help me im confused!
angle #1 = x = ?
angle #2 = X + 30 = ?
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of ∠1 is 30°, while the measure of ∠2 is 60°.
What are Complementary Angles?When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
Since the two angles together form a 90° angle. The angles are complementary to each other, therefore, we can write,
∠1 + ∠2 = 90°
x + x + 30 = 90°
2x = 60°
x = 30°
Thus, the measure of the angles can be written as,
∠1 = x = 30°
∠2 = x+30° = 60°
Hence, the measure of ∠1 is 30°, while the measure of ∠2 is 60°.
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i dont now this question
Answer:
y = 108
Step-by-step explanation:
2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .
Now we solve for x :
Subtract 2x from both sides :
16 = x - 12
Now we add 12 to both sides :
28 = x
Angle 3x-12 and y add up to 180 as they are on a straight line :
3x-12 + y = 180
Substitute x and solve for y :
3(28) - 12 + y = 180
84 - 12 + y = 180
72 + y = 180
y = 108
Hope this helped and have a good day
Find the indicated measures for each circle 0
Answer:
there are no indicate measure bro in circle
Step-by-step explanation:
Why was federal ruling system implemented in Nepal?Give any four reasons
Four graphs are shown below:
Four graphs named Graph A, Graph B ,Graph C and Graph D are shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. All the graphs have 0,12 and 1,20 and 2,28 and 3,31 and 4,42 and 5,53 and 6,61 and 7,72 and 8,88 and 9,83 and 10,92. A straight line joins 0, 12 and 6,100 in Graph A. A straight line joins 0, 12 and 10, 50 in Graph B. A straight line joins 0, 10.5 and 10, 95 in Graph C. A straight line joins 0, 30 and 8,100 in Graph D.
Which graph best shows the line of best fit?
Graph A
Graph B
Graph C
Graph D
The graph that best shows the line of best fit is graph (c)
How to determine the best graph?A graph that shows the appropriate line of best fit has the following properties:
The line of best fit has equal approximately points on either sideThe line of best fit touches as many points as possibleThe graph that satisfies the above highlights is the graph (c)
Hence, the graph that best shows the line of best fit is graph (c)
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Answer:
c
Step-by-step explanation:
Q4. The diagram shows a triangle inside a rectangle.
2x
All measurements are given in centimetres.
Show that the total area, in cm², of the shaded regions is 18x - 30
3x-5
Diagram NOT
accurately drawn
The prove to show that the area of the shaded portion is 18x - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x - 30
How to find the area of the shaded region?The area of the shaded region can be represented as follows:
area of the shaded region = area of rectangle - area of triangle
Therefore,
area of the rectangle = (x + 6)(3x - 5)
area of the rectangle = 3x² - 5x + 18x - 30
area of the rectangle = 3x² + 13x - 30
area of triangle = 1 / 2 × 2x × 3x - 5
area of triangle = 3x² - 5x
Therefore,
area of the shaded portion = 3x² + 13x - 30 - 3x² + 5x
area of the shaded portion = 18x - 30
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Find the slope and y-intercept for the following graph of a linear equation
Answer:
Slope: [tex]\frac{4}{1}[/tex]
Y - intercept: -1
Step-by-step explanation:
We can see from the graph that the slope is [tex]\frac{4}{1}[/tex].
We can also identify the y - intercept as -1.
Therefore, the linear equation would be y = [tex]\frac{4}{1}[/tex]x -1
Hope this helps:) Goodluck!
Malaki constructed \overline{CG}
CG
start overline, C, G, end overline parallel to \overline{AB}
AB
start overline, A, B, end overline through point CCC.
Which of the following statements best justifies why \overleftrightarrow{CG}
CG
C, G, with, \overleftrightarrow, on top is parallel to \overleftrightarrow{AB}
AB
A, B, with, \overleftrightarrow, on top?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Lines perpendicular to the same transversal are parallel.
(Choice B)
B
Lines with supplementary same-side angles are parallel.
(Choice C)
C
Lines with congruent alternate interior angles are parallel.
(Choice D)
D
Lines with congruent corresponding angles are parallel.
Answer: Lines with congruent corresponding angles are parallel.
CG is parallel to AB because Lines with congruent corresponding angles are parallel.
How to define transverse lines?From the given image, we see that there is a transverse line cutting across lines AB and CG.
Now, from transverse line theorem we know that If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Thus, we can conclude that CG is parallel to AB because Lines with congruent corresponding angles are parallel.
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