Answer:
Step-by-step explanation: To solve this problem, we can use the following formula for compound interest:
A = P * (1 + r/n)^(n*t)
Where:
A is the total amount at the end of the period
P is the principal (initial investment)
r is the annual interest rate
n is the number of times the interest is compounded per year
t is the number of years
We can rearrange this formula to solve for r:
r = n * ((A/P)^(1/n*t) - 1)
We can plug in the values for A, P, and t for each year to solve for the annual interest rate:
Year 1:
r = n * ((4240.00/P)^(1/n*1) - 1)
r = 1 * ((4240.00/P)^(1/1) - 1)
r = (4240.00/P) - 1
r = 4240.00/P - 1
r = 4240.00 - P/P
r = 4240.00 - 1
r = 0.08
Year 2:
r = n * ((4494.40/P)^(1/n*2) - 1)
r = 1 * ((4494.40/P)^(1/2) - 1)
r = (4494.40/P)^(1/2) - 1
r = 4494.40/P - 1
r = 4494.40 - P/P
r = 4494.40 - 1
r = 0.08
Year 3:
r = n * ((4764.06/P)^(1/n*3) - 1)
r = 1 * ((4764.06/P)^(1/3) - 1)
r = (4764.06/P)^(1/3) - 1
r = 4764.06/P - 1
r = 4764.06 - P/P
r = 4764.06 - 1
r = 0.08
Since the annual interest rate is consistent at 0.08 for all three years, we can conclude that this is the annual rate of compound interest earned.
To solve for the principal, we can use the formula for compound interest again, this time solving for P:
P = A / (1 + r/n)^(n*t)
Plugging in the values for A, r, and t for each year, we get:
Year 1:
P = 4240.00 / (1 + 0.08/1)^(1*1)
P = 4240.00 / 1.08
P = 3925.93
Year 2:
P = 4494.40 / (1 + 0.08/1)^(1*2)
P = 4494.40 / 1.16
P = 3925.93
Year 3:
P = 4764.06 / (1 + 0.08/1)^(1*3)
P = 4764.06 / 1.24
P = 3925.93
Since the principal is consistent at $3925.93 for all three years, we can conclude that this is the amount Sima invested.
a family consumes 4 litres of oil in 16 days how much old will be consumed in 200 days
tell me about the relationship between first floor square footage (1stflrsf; column o) and sale price. what is the r-squared?
The Pearson correlation coefficient (r) is used to discover styles in matters while the coefficient of determination (R²) is used to discover the electricity of a model.
R-Squared is a statistical degree of healthy that suggests how a good deal version of a established variable is defined through the unbiased variable(s) in a regression version.Interpretation of R-squared/Adjusted R-squared.
R-squared measures the goodness of healthy of a regression version. Hence, a better R-squared suggests the version is a great healthy even as a decrease R-squared suggests the version isn't an awesome healthy.
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Three sons inherited 2,179 ducats from their father. The father bequeathed the older brother 2 times more money than the younger one. At the same time, the middle brother should receive more than the younger one, but less than the older one. How many ways are there to fulfill the will of the father, if each son must receive a whole number of ducats?
Three sons inherited 2,179 ducats from their father. The number of ways the father can bequeath the resources is
108 waysHow to find the number of ways of fulfilling the fathers wishInformation from the problem helped in generating the following equations
The father bequeathed the older brother 2 times more money than the younger one
let the youngest receive an amount equivalent to y
then the eldest will receive 2y
let the middle receive x
Using the sharing formula described we have
y + 2y + x = 2179
3y + x = 2179
the middle brother should receive more than the younger one, but less than the older one
x > y
x < 2y
plotting the equations on a graphing calculator and getting the solutions we have
(544.75, 544.75) and (871.6, 435.8)
y ranges from 435.8 to 544.75 using whole numbers
436 to 544
The number of ways
= 544 - 436
= 108 ways
the number of ways of sharing according to fathers will is 108
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PLEASE HELP!!!!!! IT IS URGENT!!!
how to do question no 9 b?
Answer:
4 records sold on Wednesday, 32 records sold on Thursday!
Step-by-step explanation:
To do 9b, you need to set up our own equation!
Let's use W to represent records sold on Wednesday and T to represent records sold on Thursday.
It said 36 total records were sold on Wednesday and Thursday. This can be represented with the following equation ...
W + T = 36
It also tell us that on Thursday (T), 8 times the number of records sold on Wednesday were sold on Thursday. In equation form, this looks like ...
T = 8 × W
Now, let's use all this info to solve!
Let's first solve the equation W + T = 36
But, we need values! We have one! We know what T equals!
Let's plug in T
T = 8 × W
W + ( 8 × W ) = 36
Solve
W + 8W = 36
9W = 36
W = 4
4 records were sold on Wednesday!
Let's plug in W in our T equation to see how many records were sold on Thursday.
T = 8 × W
T = 8 × 4
T = 32
32 records were sold on Thursday!
Wednesday can be represented with HALF A CIRCLE
and Thursday can we represented with FOUR CIRCLES
Identify the measure of angle x please show work Bc I have too
Answer:
79°
Step-by-step explanation:
Angles on a line add to [tex]180^{\circ}[/tex].
[tex]28+x+73=180 \\ \\ 101+x=180 \\ \\ x=79[/tex]
Help me I don’t know
AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
In the given triangle A is the incenter for triangle PQR.
By observing figure, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
Subtract 3x and add 2 on both sides of equation.
4x - 3x = 9 + 2
x = 11
Now plug in x value in ∠QPA=3(11)+2
=33+2=35 degrees.
Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.
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Find the equation of the line, given the following information:
Passes through (-9,3) and is perpendicular to y =1/2x+6.
Answer:
y = -2x - 15
Step-by-step explanation:
We are given 2 pieces of information: (1) a point our line passes through, and (2) a line it is perpendicular to. The only thing we need from (2) is the slope.
We know that perpendicular lines have opposite signs and are inverses (denominator and numerator switched). So our line must have a slope of
m = -2
Using our equation for a line: y = mx+b, our line so far is
(I) y = -2x + b
Let's use the point we have (-9,3) and substitute what we know into equation (I) to find b.
x = -9
y = 3
(I) (3) = -2(-9) + b
3 = 18+b
b= -15
Now we have m and b so we can write the equation of our line:
y = -2x - 15
At a bakery 5 bagels and 5 breakfast sandwiches cost $30.00 and 8 bagels and 2 breakfast sandwiches cost $24.00.
Create a graph of the scenario, using x to represent the cost of a bagel and y to represent the cost of a breakfast sandwich.
Select two points on each line to graph the lines.
it equals = kwasia
30-24=6
Write an equation of the line that passes through the given points (-6,2) (1,0)
Answer:
Y= (-2/7)x + (2/7)
Step-by-step explanation:
0-2= -2
1-(-6)= 7
-2/7= -2/7. (slope)
y=mx+b
2=( -2/7)(-6)+b
2= 12/7 +b
2/7 =B
so Y= (-2/7) + (2/7)
I also plugged in the answer to make sure it matches up.
Please help me on this someone.
Ariel is correct, the statement is false and the equation has no solutions.
Is Ariel correct or not?Ariel says that the given linear equation has no solutions, so we need to check that.
The linear equation is:
3y - 12 = 3*(y + 1)
If we expand the right side we will get:
3y - 12 = 3y + 3
Now we can subtract 3y in both sides, then we will get:
3y - 12 - 3y = 3y + 3 - 3y
-12 = 3
That is a false equation, thus there are no values of y such that the equation is true, then we don't have any solutions.
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a box has width $m$, where $m$ is a prime number. if the box has height $m 2$, length $m-1$, and a volume of 140, what is $m$?
The width of the box m = 5 units
The width of the box = m units
Where m is a prime number
Height of the box = m+2 units
The length of the box = m -1 units
The volume of the box = 140 cubic units
The volume of the box = Length × width × height
140 = m × (m+2) × (m-1)
140 = (m^2 + 2m )(m-1)
140 = m^3 - m^2 + 2m^2 - 2m
140 = m^3 + m^2 - 2m
m^3 + m^2 - 2m - 140 = 0
We can split the equation by taking the common term outside
(m-5) (m^2 + 6m + 28) = 0
Therefore, one value of m = 5
5 is a prime number
Therefore, the value of m is 5
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Melia get paid $40 for mowing her neighbor' lawn. She pend $16 on a bracelet and $7 on lunch. Which equation i written and olved correctly to how how much money (m) Melia ha left?
The equation written is m + 16 + 7 = 40 and the amount of money Melis has left is $17.
As mentioned, assuming the amount of money left be m. Sum of left money and spent money will be equal to earned amount of money. Representing this as equation -
m + 16 + 7 = 40
Performing addition on Left Hand Side of the equation
m + 23 = 40
Rewriting the equation
m = 40 - 23
Performing subtraction on Right Hand Side of the equation
m = 17
Thus, Melia is left with $17 from her earnings.
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what are the hypothesis and the conclusion of the conditional? if anangle measures 130, then the angle is obtuse
The hypothesis of the conditional statement is "if an angle measures 130 degrees," and the conclusion is "the angle is obtuse."
A conditional statement is a statement in the form "if X, then Y," where X is the hypothesis and Y is the conclusion. In this case, the hypothesis is that the angle measures 130 degrees, and the conclusion is that the angle is obtuse.
An angle is obtuse if it measures more than 90 degrees but less than 180 degrees. Since 130 degrees is greater than 90 degrees but less than 180 degrees, the conclusion that the angle is obtuse follows logically from the hypothesis that the angle measures 130 degrees.
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A student correctly draws a square with side lengths of 4 centimeters. Which statement about the resulting figure is true?
A. The figure has three 45°
angles and exactly one pair of parallel sides.
B. The figure has three 90° angles and exactly one pair of parallel sides.
C. The figure has four 60°
angles and exactly two pairs of parallel sides.
D. The figure has four 90°
angles and exactly two pairs of parallel sides.
D) The figure has four 90° angles and exactly two pairs of parallel sides.
What is parallel sides?In geometry, parallel lines are two lines that exist in the same plane, are equally spaced apart, and never cross one another. There is a range of possible shapes, both horizontal and vertical.
Zebra crossings, stacks of notebooks, and the nearby railroad tracks are just a few places where parallel lines can be observed. The distance between two parallel lines at their perpendicular intersections is constant.
Different shapes' sides go parallel to one another. The single arrow lines in the rectangle below are parallel to one another, and the double arrow lines are also parallel to one another.
The symbol for parallel lines is ||, which consists of two vertical lines placed between the names of the lines.
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Which of the following is the solutionsto | x +11|< 17?
OA. x< 6 and x < -28
OB. x< 6 orx>-28
OC. x<6
OD. x< 6 and x > -28
Answer:
OB
Step-by-step explanation:
|x+11|<17
x+11<17
x<17-11
x<6
-(x+11)<17
-x-11<17
-x<17+11
-x<28\×(-)
x>-28
Solve |x-5| + 7 = 15.
Answer:
C. x = 13 or x = -3
Step-by-step explanation:
|x - 5| + 7 = 15
|x - 5| = 8
x - 5 = 8 or x - 5 = -8
x = 13 or x = -3
Answer: C. x = 13 or x = -3
18. Which table represents a non-proportional relationship between x and y? X 1 3 7 15 Y -4 -12 -28 -60 X 1 4 7 10 Y 7. 5 30 52. 5 75 X -17 -5 2 10 Y 93. 5 27. 5 -11 -55 X -5 -1 1 8 Y 11 -1 -7 -28 10 X -5 -1 1 8 Y 7. 5 30 52. 5 75 y 11 - 1 -7 -28
Option D) is the correct answer. This is a non-proportional relationship.
A) -4 / 1 = -4
-12/3 = -4
-28/7 =-4
-60 /15 = -4
In this relationship, the value of y / x is constant. So, this is a proportional relationship.
B) 7.5 /1 =7.5
30/4 = 7.5
52.5/7 = 7.5
75/10 = 7.5
In this relationship, the value of y / x is constant. So, this is a proportional relationship.
C) 93.5 / -17 = -5.5
27.5/ -5 = 5.5
-11 / 2 = -5.5
-55 /10 = -5.5
In this relationship, the value of y / x is constant. So, this is a proportional relationship.
D) 7.5 / 5 =1.5
30 / -1 = -30
52.5 / 1 = 52.5
75/ 8 = 9.375
In this relationship, the value of y / x is not constant. So, this is a non-proportional relationship.
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The correct question is :
Which table represents a non-proportional relationship between x and y? A)X 1 3 7 15 Y -4 -12 -28 -60 B)X 1 4 7 10 Y 7. 5 30 52. 5 75 C)X -17 -5 2 10 Y 93. 5 27. 5 -11 -55 D) X -5 -1 1 8 Y 7. 5 30 52. 5 75
Please help it’s ASAP
27 is the test score of percentile score of 71 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60 th percentile.
[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Angles 1 and 7 are what type of angles?
A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding angles
Help Quickly Please!!!
Answer:
B. Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They have the same degree. So the answer is B
What is the missing number?
Answer:
42
Step-by-step explanation:
You want to know the missing denominator in the equation ...
2/35 = 1/30 +1/x
SolutionSubtract 1/30 from both sides and simplify.
2/35 -1/30 = 1/x
(2·30 -1·35)/(35·30) = 1/x
25/(35·30) = 1/x
1/(7·6) = 1/42 = 1/x
The missing denominator is 42.
June wah the window for two hour and 45 minute he finihed wahing window at 3:05 p. M. What time did he finih wahing window
June started washing the window at 12:20 PM.
June washed the window for 2 Hours and 45 minutes.
As he finished washing the window at 3:05 PM
For calculating at what time did he start washing the window we need to subtract the time taken in cleaning the window from the time at which he finished washing.
As, for finding the starting time, we need to subtract 2 Hr. and 45 minutes from 3:05 PM.
As, 3:05 PM can be also written as 5 minutes post 3 which will be equivalent to (60+5) = 65 minutes post 2. (As there are 60 minutes in 1 Hr).
Now, 45 minutes before 2:65 minutes will be 2:20
Again 2 Hr. before 2:20 PM will be 12:20 PM.
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The correct question may be
June washed the window for two hours and 45 minutes he finished washing the window at 3:05 P. M. What time did he start washing the window?
2. What is the x-coordinate of the image of point (2,-5) after reflection in the
line y=x?
The X coordinate of the image is (-5,2)
What is meant by coordinate ?A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).
The coordinates of one point in the coordinate system are included in an ordered pair. An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point.
Given
The coordinates for x and y change when you consider the line y=x. The end product is (-5,2)
Because (-5,2) its reflection means x coordinate will y coordinate and y coordinate will x coordinate so the coordinate be (-5,2)
The complete question is : Find the coordinates of the image of point (2,-5) after a reflection in the line y=x
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What is an equation for the line that passes through the points (8,-1) and (5,-1)?
Given:
The line that passes through the points (8,-1) and (5,-1)
To find:
Find the equation.
Explanation:
We know, the equation of the line passes through the two points,
y−y1 =y2 −y1 x2 −x1 (x−x1 ) Here,(x1 ,y1 )=(8,−1) and (x2 ,y2 )=(5,−1) y−(−1)=−1−(−1) 5−8 (x−8) y+1=0 −3 (x−8) y+1=0 y=−1 All of the points in the picture of on the same line (Points are: (5,13) (c,10) (2,4)
A. Find the Slope of the line and explain/show your reasoning.
B. Write an equation for the line.
C. What is the value of c? Explain or show your reasoning
Sorry for weird format wouldve uploaded a picture of it but it wasn't working
The slope of the line is 3, equation of the line is y = 3x-2 and value of c is 4
What is a slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Given that, All the given points are on the same line and the points are: (5,13) (c,10) (2,4)
Finding the slope;
We know slope of a line passing through two points = (y₂-y₁)/(x₂-x₁)
so, considering the points (5,13) and (2,4)
= (4-13)/(2-5) = 3
Therefore, the slope of the line is 3
Finding the equation,
We know the general equation of a line is given by, y = mx+b,
Where m is slope and b is y intercept.
Solving for b, put x = 5, m = 3and y = 13, in the equation
13 = 5x3+c
b = 13-15
b = -2
Therefore, the equation is y = 3x-2
Finding the missing coordinate c,
Since, all the points lies in same line, so slope will be equal in all the points,
Therefore, (10-13)/(c-5) = 3
c-5 = -1
c = 4
Hence, The slope of the line is 3, equation of the line is y = 3x-2 and value of c is 4
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32. Write a rule to represents the
function
(2, 10), (4, 20), (5, 25), (7, 35), (9, 45)
y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D
The bird population on an island is declining at a rate of 2. 2% per year. The population was 3500 in the year 2009. Which answer is the best prediction of the population in the year 2014? responses 2730 2730 3062 3062 3132 3132 3423.
The best prediction of the bird population in the year 2014 is 3132.
Explain the term population decline?The population mean could be determined by dividing the number of values with in given data/population by the sum of any and all values in the data/population.A decrease in the number of people in a population is known as a population drop in humans (sometimes referred to as underpopulation, population reduction, or population collapse).The given data is-
2009 : 3,500 populationRate of decline ; 2.2% per year. 100% - 2.2% = 97.8%Difference of the years;
2014 - 2009 = 5 years
Decline = 3,500 * (0.978)^5
Decline = 3,500 * 0.89473
Decline = 3131.57
Thus, the population of the birds in 2014 will be 3,131.57 ≈ 3,132.
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A cloed cylindrical tank of diameter 14 m and height 5 m i made from a heet of metal. How much heet of metal will be required?
Answer:
[tex]528m^{2}[/tex]
Step-by-step explanation:
In order to find out how much sheet of metal is required to cover the cylinder, We find the total surface area
So the Formula to find the total surface area is,
[tex]2\pi r^{2} + 2\pi rh[/tex]
But first we need to find the radius with the formula
[tex]r= \frac{d}{2} \\[/tex]
[tex]r= \frac{14}{2} \\r=7[/tex]
Now we can apply the formula for the total surface area of a cylinder
[tex]2[/tex]x[tex]3.14[/tex]x[tex](7)^{2} +[/tex] [tex]2[/tex]x[tex]3.14[/tex]x[tex]7[/tex]x[tex]5[/tex]
[tex]307.72+[/tex][tex]219.8[/tex]
[tex]528m^{2}[/tex]
Hence the sheet of metal required is [tex]528m^{2}[/tex]
Hope it helps you
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What are each step of the formula for a area of a trapezoid to find b2.
Answer:
Step-by-step explanation:
Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
quations: Practice
Question 2 of 5
Select the correct answer.
Which value for x makes the sentence true?
2 + 4 = 7
04
044
0-3
O
8
Answer:
there is no X in the eqn❗Step-by-step explanation:
there is no X in the eqn❗how would i answer it
यसको वक्र सतहको क्षेत्रफल पत्ता लगाउनुहोस् । The circumference of base of a cylinder is x cm and height is y cm. Find its curved surface area.
Answer:
Step-by-step explanation: