Step-by-step explanation:
So the general formula for compound interest is [tex]A = P(1+\frac{r}{n})^{nt}[/tex] where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just [tex]A = P(1+r)^t[/tex]. in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula [tex]A = 11000(1.05)^t[/tex]. This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be [tex]11000(1.05)^t-11000[/tex]. To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation [tex]11000(1.05)^5 \approx 11000(1.276) \approx 14,039.10[/tex]
PLEASE HELP NOW
help
Your image attached has not sufficient criteria for Brainly users to answer. We will assume for now that you are asking what the line is equal to. This question will be deleted eventually due to Brainly ToS most likely
We note that this line is not linear, or squared. This means it might be cubical.
If it is cubical the line must be a variant of
f(x)=[tex]x^{3}[/tex].
However f(x)=[tex]x^{3}[/tex] points the opposite direction so we must make it negative.
We also noticed we had to stretch it, so we had to add a fraction.
Your answer is f(x)=[tex]-\frac{1}{8} x^{3}[/tex]
Graph the following features:
Slope = -7/5
Y-intercept = 1
Answer:
Step-by-step explanation:
1) in order to graph the required direct line it needed two points:
2) one of these two points is Y-intercept. According to the condition it is (0;1);
3) in order to find the second point, it is enough to apply the given slope: to start in point (0;1), then to move to the left direction (-5 units, move no. 1), then to move up (+7 units, move no. 2);
4) to graph the line between two points (red line); y= -7/5x +1.
All the details are in the attachment.
Show that the 4 points form a square. A. DA = AB = BC =CD = √32 DB = AC =8 B. DA = AB = BC = CD = √32 C. DB = AC =8 D. DA = AB = BC = CD = √7 DB = AC = 8
Finding the distances between the 4 consecutive points, using the formula, all will be equal, hence the points will form a square.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, four consecutive points will be given in the cartesian plan, and their distances should be calculated. If they are equal, these points will form a square.
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3
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3
Tiles
31/50 42√/2
Pairs
972
448
3,528
4,050€
43/7 4√3
C
3/4
738
Submit
Answer:
I need detailed question
Which expressions represent purely real numbers and which expressions represent non-real complex numbers?
All rights reserved.
-289
i9
√(-18)
4- 321² 2 √-49
3 +2i
Purely Real Number
Non-real Complex Number
An expression is defined as a set of numbers, variables, and mathematical operations.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
From the given expression the numbers can be classified as,
Real Numbers
-289i⁹ = -14-32i² = 36Non-real / Complex Number
3 + 2i2 - √-49 = 2 - 7iLearn more about Expression:
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Don't know, could someone help me!!
Answer:
[tex]\boxed{A=1~~\land~~B=-4}[/tex]
Step-by-step explanation:
I use formulas:
[tex]\boxed{\dfrac{x^{n} }{x^{m} } =x^{n} \div x^{m} =x^{n-m} }[/tex]
[tex]\dfrac{t^{2} }{t^{6} } =t^{2}\div t^{6}=t^{2-6}=\boxed{t^{-4}}\\\\t^{-4} =1\cdot t^{-4} ~~\land~~At^{B} ~~\Rightarrow ~~A=1~~\land~~B=-4[/tex]
0.403 divided by 100 what is the quotient
Answer: 0.403 / 100 = 0.00403
Hope this helps ♥️
which equation would match the table the most?? pls help ☠️☠️
Given that a bag of skittles has 15 blue candies, 16 orange candies, 12 yellow, 14 red, and 5 green candies, find the following probabilities.
Step-by-step explanation:
If you are asking about the probability of Getting Blue, Orange, Yellow, Red and Green
P=N(E)/N(S)
Probability of Blue=15/62
probability of Orange= 16/62
probability of yellow=12/62
probability of Red=14/62
probability of Green=5/62
HELP ASAP 15 POINTS!!!
What is the solution to this equation?
6(x-5)=4x+20
Answer:
x = 25Step-by-step explanation:
What is the solution to this equation?
6 * (x - 5) = 4x + 20
6x - 30 = 4x + 20
2x = 20 + 30
2x = 50
x = 50 : 2
x = 25
-------------------
check
6 * ( 25 - 5) = 4 * 25 + 20
6 * 20 = 100 + 20
120 = 120
the answer is good
Answer:
x=25Step-by-step explanation:
6(x-5) 4x+20
Distribute.
6x-30 = 4x+20
Subtract 4x from each side.
6x-4x-30 = 4x-4x+20
Simplify.
2x-30=20
Add 30 to both sides.
2x-30+30 = 20+30
Simplify.
2x = 50
Divide both sides by 2
2x/2 = 50/2
Simplify
x = 25
So, x = 25!
Which of the following is equal to
(x²y³)*
(x°y³z)°
✓
1
48 36
(x²y³)
(x°y³z)°
x-12-18
?
Step-by-step explanation:
ATTACHED IS THE SOLUTION!!THE ANSWER IS THE SECOND ONE.
A B D
I did it and this was the correct answers
7)Which statement is true?
A. The radius of a given circle is longer than its diameter.
B. The length of the radius is the same in all circles.
C. The circumference is always twice the radius.
D. All circles contain 360 degrees.
Answer:
D.
Step-by-step explanation:
A. The radius of a given circle is longer than its diameter.
False. The diameter is twice the radius.
B. The length of the radius is the same in all circles.
False. Since there are circles of many sizes, there are many different sizes of the radius.
C. The circumference is always twice the radius.
False. The circumference is 2π times the radius or π times the diameter.
D. All circles contain 360 degrees.
True.
At a sale, coats were sold for $184 each. If the coats originally cost $200 each, what percentage of its original price was a coat sold for?
Answer:
92%
Step-by-step explanation:
sale price is 184.
original price was 200.
184/200 = 0.92
Multiply by 100 to change to a percent.
0.92 × 100 = 92
184 is 92% of 200.
The coat was sold for 92% of its original price.
Answer:
92%
Step-by-step explanation:
What percentage of 200 is 184 ?
184 / 200 * 100% = 92%
Which represents the inverse of the function
f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = =x
h(x) =÷x
The function g(x) = -2x +3 compare the slopes and y-intercepts
The slope of the function in discuss is -2 and the y-intercept of the function is; 3.
What is the slope and y-intercept of the function?The slope which is simply a measure of the rate of change can be obtained by comparison of the function given to the slope-intercept form of a linear function.
f(x) = mx + c
Hence, the slope of the function is -2 and it's y-intercept (point of intersection with the y-axis) is; (0,3).
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Find x.
please help!
Answer:
37
Step-by-step explanation:
Since the lines are parallel,
2x + 106 = 180
2x = 74
x = 37
Answer:
x = 37°
Step-by-step explanation:
∠ a = 2x [Corresponding angles]
106° + ∠ a = 180° [Angles on a straight line]
∴ 106° + 2x = 180°
⇒ 2x = 74°
⇒ x = 37°
Drag each graph to show which transformation was applied to the original figure.
Each graph is the result of one transformation.
Transformation is a process in which the dimensions or orientation of a given plane shape is changed. The required answers are:
Graph 1: Reflection
Graph 2: Translation
Graph 3: Rotation
Graph 4: Rotation
Graph 5: Translation
Graph 6: Reflection
Transformation is the process in which the dimensions or orientation is a given shape is changed. The major types are reflection, dilation, translation, and rotation.
Reflection is a transformation method in which a given shape is flipped over a given reference point or line. Dilation is a transformation method that involves either increasing or decreasing the length of sides of a given shape.Translation is a transformation method that requires the movement of all points of a shape with respect to a given reference point or line.Rotation is a transformation method that involves the rotation of a given shape at a certain degree clockwise or counterclockwise.Thus the transformation process that was applied to the original figure for each graph is:
Graph 1: Reflection along the y-axis
Graph 2: Translation at 4 units in the -x direction
Graph 3: [tex]90^{o}[/tex] clockwise Rotation
Graph 4: [tex]180^{o}[/tex] clockwise Rotation
Graph 5: Translation
Graph 6: Reflection along the x-axis
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First accurate commenter gets brainliest
Answer:
Graph #4 is the correct answer.
Step-by-step explanation:
Answer:
It is graph four
Step-by-step ex
The only correct corresponding set for -1,6 would be this graph
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
2
3
4
5
To eliminate the fraction, we multiply by 4
How to eliminate the fractions?The equation is given as:
-3/4m-1/2=2+1/4m
Rewrite properly as:
[tex]-\frac{3}{4}m - \frac 12 = 2 + \frac 14m[/tex]
The denominators of the above fractions are 2 and 4
The LCM of 2 and 4 is 4
So, we multiply through by 4.
This gives
-3m - 2 = 8 + m
Hence, to eliminate the fraction, we multiply by 4
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Periodic Deposit: $1000 at the end of each year Rate: 4.5% compounded annually Time: 11 years
The interest amount is $622.85
How to determine the interest amount?The given parameters are:
Principal, P =$1000 Rate, r = 4.5% compounded annually i.e. n = 1Time, t = 11 yearsThe interest amount is calculated as:
I = P(1 + r/n)^(nt) - P
This gives
I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000
Evaluate the products and the quotient
I = 1000 * (1 + 0.045)^(11) - 1000
Evaluate the sum
I = 1000 * (1.045)^(11) - 1000
Solve
I = 622.85
Hence, the interest amount is $622.85
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A force F = (4x i +3y) N acts on an object as the object moves in the x direction from the origin to x =5.00 m. Find the work done.
The work done is 100 + 15y Joules
How to find the work doneThe formula for determining the work done is given as;
Work done = force × distance
We have;
Force = (4x + 3y)
Distance = x = 5.00m
Work done = (4x + 3y) × x
Work done = 4x^ 2 + 3xy
Let's substitute the value of 'x'
Work done = 4 × 5 × 5 + 3 × 5 × y
Work done = 100 + 15y Newton
Thus, the work done is 100 + 15y Joules
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5. Which number is the base in the expression 8.3^6?
Answer:
8.3
Step-by-step explanation:
In 8.3^0.6, the base is the number that is being raised to the exponent. So, 8.3 is the base, and 0.6 is the exponent.
Brainliest, please :)
IF Sin =p what is then cos^2x
Answer:
4r2
Step-by-step explanation:
2v 3qsdwg3
How do I Expand (2x − 1)^6
Answer:
well if u do this
(2x-1)(2x-1)(2x-1)(2x-1)(2x-1)(2x-1)
it would be the expanded form for (2x-1)^6
Step-by-step explanation:
i um learned it before so...
A movie theater has a seating capacity of 167. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 1198, How many children, students, and adults attended?
Child attend:
Student attend:
Adult attend:
Answer:
Child attend: 58
Studen attend: 80
Adult attend: 29
Step-by-step explanation:
a + c + s = 167 Eq. 1
12a + 5c + 7s = 1198 Eq. 2
a = c/2 Eq. 3
a = adult attend
c = children attend
s = students attend
Replacing Eq, 3 in Eq. 2:
12(c/2) + 5c + 7s = 1198
6c + 5c + 7s = 1198
11c + 7s = 1198
7s = 1198 - 11c
s = (1198 - 11c) / 7 Eq, 4
Replacing Eq, 3 and Eq, 4 in Eq, 1
c/2 + c + (1198-11c) / 7 = 167
7c/14 + 14c/14 + 2(1198-11c)/14 = 2338/14
7c/14 + 14c/14 + 2396/14 - 22c/14 = 2338/14
7c + 14c + 2396 - 22c = 2338
7c + 14c - 22c = 2338 - 2396
-1c = -58
c = -58/-1
c = 58
from Eq. 3
a = c/2
a = 58/2
a = 29
from Eq. 4
s = (1198-11c)/7
s = (1198 - 11*58)/7
s = (1198 - 638) / 7
s = 560/7
s = 80
Check:
from Eq, 1
58 + 29 + 80 = 167
What type of system of linear equations is this?
y = -5x-4
y=1/2x+3
A. consistent and independent
B. consistent and dependent
C. inconsistent
D. independent and inconsistent
Answer:
B
Step-by-step explanation:
consistent and dependent
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $80 million after 4 years, as shown in the graph:
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 1, negative 100 and 4, 80.
Which equation most closely represents the line depicted in the graph?
f(x) = 60x − 160
f(x) = −60x + 160
f(x) = −80x + 4
f(x) = 80x − 4
The equation that most closely represents the line depicted in the graph is; f(x) = 60x − 160
How to find the equation of a Graph?We're given a point of the graph (4, 80).
From the complete question seen online, we see that the profits increased $60 million per year. Thus, slope = 60.
Let us write the equation and find x and y intercepts.
y = 60x + b
Thus;
80 = 60*4 + b
80 = 240 + b
b = -160
Thus, the equation that most closely represents the line depicted in the graph is; f(x) = 60x − 160
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Find the equations for a helix that has a radius of 8, a height of 12 and does exactly two complete revolutions (starting at the xy-plane).
By the equations according to the cylindrical system of coordinates, the equation for a helix are x = 8 · cos (2π · t /T), y = 8 · sin (2π · t /T) and z = 6 · (t/T).
How to derive the equations of a helix in cylindrical form
According to the cylindrical system of coordinates, helix can be described by the following equations:
Radius
x = r · cos (2π · t /T) (1)
y = r · sin (2π · t /T) (2)
Height
z = H · (t/T) (3)
Where T is the period of one complete revolution.
If we know that r = 8 and H = 6, then the equations for the helix is:
x = 8 · cos (2π · t /T)
y = 8 · sin (2π · t /T)
z = 6 · (t/T)
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b) Some economists in the cOuntry are proposing mandatory wage and price controls to combat inflation, but others claim such controls are ineffective. Suppose it is established that 40% of all adults in the country favour wage and price controls. If 5 adults are selected at random, find the probability that: i. At least 3 favour wage and price controls?
Answer:
3/5
Step-by-step explanation:
40% of all adults favor wage and price controls, that means that 4 out of every 10 adults favor them. Therefore, if 5 adults are selected at random, the probability that at least 3 of them favor wage and price controls is 3/5 or 60%.
A livestock pen is built in the shape of a rectangle that is 3 times as long as it is wide. The perimeter is 56 feet. If the material used to build the pen is $1.50 per foot for the longer sides and $2.75 per foot for the shorter sides (the shorter sides have gates, which increase the cost per foot), find the cost to build the pen.
The cost of the shorter and longer side of the rectangular pen is $19.25 and $31.50 respectively.
Perimeter of rectangleWidth = xLength = 3xPerimeter = 56 feetPerimeter = 2(length + width)
56 = 2(3x + x)
56 = 2(4x)
56 = 8x
x = 56/8
x = 7
So,
Width = x
= 7 feet
Length = 3x
= 3(7)
= 21 feet
Cost of material used for the shorter side = $2.75 × 7
= $19.25
Cost of material used for the longer side = $1.50 × 21
= $31.50
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