now, this is assuming the 6% is at simple interest rate.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &19 \end{cases} \\\\\\ A=2000[1+(0.06)(19)]\implies A=2000(1.54)\implies A=3080 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4000\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years \end{cases} \\\\\\ 4000=2000[1+(0.06)(t)]\implies \cfrac{4000}{2000}=1.06t \\\\\\ 2=1.06t\implies \cfrac{2}{1.06}=t\implies 1.89\approx t\implies \stackrel{\textit{rounded up}}{2\approx t}[/tex]
Answer:
value in 19 years: $6051
years to double: 12
Write the standard equation of the circle with center (-10,-5) that passes through the point (-7.5)
The standard form of the equation of the circle is
(Type an equation. Simplify your answer.)
Answer:
(x +10)² +(y +5)² = 9
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The radius of your circle is the distance between the center and the given point. Those points lie on the same horizontal line, so the radius is the difference of their x-coordinates:
r = (-7) -(-10) = 3
The equation of the circle is ...
(x -(-10))² +(y -(-5))² = 3²
(x +10)² +(y +5)² = 9
Can you please help
Answer:
used formula to find Area of parallelogram
area of parallelogram =b× h
Step-by-step explanation:
solution :
given ,
h = 7cm
b = 9 cm
we know ,
Area of parallelogram = b× h
=63cm²
PLEASE HELP IT"S MATHHHHH< I"LL MARK U BRANLIEST
Step-by-step explanation:
we cannot read the name of the vertical line through B, but I guess that is "m".
so, if we reflect ("mirror") the line BC across "m", then B stays where it is (on line "m"), and C flips over into A.
therefore, if I understand the question correctly, the second option (line BA) is right.
because the reflected image of line BC is line BA.
Find the solution to the system of equation by using either graphing or substitution
y=4x and y + x=5
Answer:
x=1, y=4
Step-by-step explanation:
sub y=4x into second equation
4x + x=5
5x=5
x=1
now sub x=1 into the first equation
y = 4 x 1
y=4
Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.
Answer:
The measure of the diagonals are 10 units each.
Step-by-step explanation:
The diagonals of a rectangle are always equal (Refer to image).
⇒ -2x + 34 = 3x - 26
⇒ -2x + 60 = 3x
⇒ 60 = 5x
⇒ 60/5 = 5x/5
⇒ 12 = x
Now, let's substitute the value of x into any diagonal.
⇒ -2x + 34 = WY
⇒ -2(12) + 34 = WY
⇒ -24 + 34 = WY
⇒ 10 units = WY
Thus, the measure of the diagonals are 10 units each.
Suppose you have a data set that includes the values 20, 30, and 50. If you add a fourth value to this data set, and after doing that the mean of the data set is 50, what was the value that you added? a. -10 c. 50 b. 40 d. 100 Please select the best answer from the choices provided A B C D
Answer:
D. 100
Step-by-step explanation:
Mean = Sum of all numbers divided by the count of all numbers
Mean = 50
Let say that the sum of all numbers = X
50 = X / 4
200 = X
X = (20+30+50) + The 4th Value
200 = 100 + 4th Value
The 4th Value = 100
PLSS PA ANSWER PO DONT DELETE PO
Answer:
The answer of the first on is 15 b because to find the perimeter of 2d shapes we have to add all the sides given ex: 5+5+5=15 so the answer of first question if 15.
Step-by-step explanation:
serious help needed ASAP :(( with the file attached will give brainliest if possible
optionally would also appreciate an extra answer to this question: https://brainly.com/question/27139711 (that can be posted there instead of here if you want)
spending max amount of points that can be in a single question
thanks
Answer:
a) (x=6); b) (x= -5.5)
Step-by-step explanation:
find the midpoint of each of the pairs of coordinates.
((x1 + x2)/2 , (y1 +y2)/2)
Find mid points
#1
(3,2) (9,2)[tex]\\ \rm\rightarrowtail (\dfrac{3+9}{2},\dfrac{2+2}{2})[/tex]
[tex]\\ \rm\rightarrowtail (\dfrac{12}{2},\dfrac{4}{2}[/tex]
[tex]\\ \rm\rightarrowtail (6,4)[/tex]
We know x is fixed
So Axis of symmetry=x=6
#2
(-18,3)(7,3)[tex]\\ \rm\rightarrowtail (\dfrac{-11}{3},2)[/tex]
[tex]\\ \rm\rightarrowtail (-5.5,2)[/tex]
Axis of symmetry
x=-5.5The diameter of a circular placemat is 42 centimeters. What is the approximate area of the circular placemat
[tex] area \: of \: a \: circle \: or \: circular \: object \: = \pir^{2} \\ \: [/tex]
Answer:
1386cm^2.
Step-by-step explanation:
Radius of a circle = diameter / 2
= 42cm /2
= 21cm.
Area = (3.142 *21*21)cm^2
= 1386cm^2
To convert into metres:
=1386/100
=13.86m^2
I need help quick please
Answer:
A= 123º
B= 93º
Step-by-step explanation:
A is just a guess.
B is correct though, it is close to 90º but it is greater than 90º
Answer:
Final solution -
[tex]\dashrightarrow \angle \: A = 137\degree \\ \\ \dashrightarrow \angle \:B = 93\degree[/tex]
_____________________________
_____________________________
Additional information -
★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°
★ Angle sum property of quad. ( quadrilateral , any four sided figure ) states that the sum of all the angles of a quadrilateral equals 360°
★ Linear pair of angles are formed when two lines intersect each other at a single point. n number of angles forming a linear pair always have their sum equalling 180°
_____________________________
_____________________________
hope helpful :D
Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10
meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
Here's a graph that shows a system of equations for this scenario where x is the number of seconds since
Chana and Josiah started skating and y is the distance in meters from the starting line.
Answer:
josiahs distance from the starting line at a time when shes behind josiah
Step-by-step explanation: got it right in khan
The correct statement according to scenario
Josiah's distance from the starting line at a time when he is behind Chana.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Josiah's head start = 10 meters from the start
Josiah's speed = 2 m/s
Chana's speed = 3 m/s
Now, the distance travelled as
D= d x s+ t
For Josiah, we have;
D = 10 + 2•t (line a)
For Chana, we have;
D = 0 + 3•t = 3•t (line b)
Thus, Josiah's distance from the starting line at a time when he is behind Chana.
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•Pls help•
Describe the Order of Operations. Create an example and explain each step using the order of
operations.
Answer:
The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction. You can also create a little phrase to go along with this, like "Please Excuse My Dear Aunt Sally." Whatever you choose, make sure that you know all six steps of the order of operations very well. The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.
Step-by-step explanation:
hope this helps :)
99x78
123x56
98x172
38x900
Answer:
99x78=7722
123x56=6888
98x172=16856
900x38=34200
Step-by-step explanation:
Hi! Could someone help me with this?
Answer:
480 in^3
Step-by-step explanation:
Volume = B*h
Base of the triangle = B*h*1/2
= 10*8*1/2
B = 40
Volume = 40*12 = 480
Suppose you deposit $2,500 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions,
a. How much will be in the account after 3 years?
b. How much will be in the account after 18 years?
c. How many years will it take for the account to contain $3,000?
d. How many years will it take for the account to contain $3,500?
Answer:
A: 2977.54
B: 7135.84788228
C: 4
D: 6
Step-by-step explanation:
Lily is 90 cm tall. If Anika is 3/5 of the height of Lily, and Sadaf is 4/3 of the height of Anika, how tall is Sadaf?
SOMEONE PLEAASE HELP ME ASAP THIS IS DUE SOON
14. Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Square both sides to get rid of the square root
______________
√ (x - 7)^2 + (y - 9)^2 = (y - 4)
Answer:
Assuming a vertical axis of symmetry, the equation would be of the form y = ax^2 + bx + c which can also be written as y = a(x - h)^2 + k. Case 1: If the two points have the same y value, then the axis of symmetry will pass through the midpoint of the segment between them.
Step-by-step explanation:
An equation is formed of two equal expressions. The given equation can be simplified for y as y=(x²-14x+114)/10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as shown below,
[tex]\sqrt{\left(x\:-\:7\right)^2\:+\:\left(y\:-\:9\right)^2}=\left(y\:-\:4\right)[/tex]
(x - 7)² + (y - 9)² = (y - 4)²
(x - 7)² = (y - 4²) - (y - 9)²
(x² + 49 - 14x) = (y² + 16 - 8y) - (y² + 81 - 18y)
x² + 49 - 14x = y² + 16 - 8y - y² - 81 + 18y
x² + 49 - 14x = 10y - 65
x² - 14x + 49 + 65 = 10y
x² - 14x + 114 = 10y
y = (x² - 14x + 114)/10
Hence, the given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as y=(x²-14x+114)/10.
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Find the missing factor.
200 x ____ = 600
A) 2
B) 3
C) 4
D) 5
Answer:
B. 3
Step-by-step explanation:
we know 2x3 = 6 soo just add 2 zeros = 600
Which set has an average of 2?
A) A
B) B
C) A and B
D) none of the above
Answer:
the answer is option b because the sets in option b have an average of two and above
The product of an irrational number and an irrational number is irrational?
Always true
Sometimes true
Never true
[tex]========================================[/tex]
is the product of an irrational number and an irrational number always irrational?
We can easily check that by just multiplying some irrational numbers on our calculator.
Let's take
[tex]\pmb{\sqrt{2} }[/tex] times [tex]\pmb{\sqrt{5} }[/tex]
Multiply:-
The result is an irrational number.
Let's try to multiply π times itself.
Once again, we have an [tex]\pmb{irrational}[/tex] number.
Hence, the answer is:-
[tex]\pmb{Always~True}[/tex]
[tex]=========================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.y=1/2x+2 y=1/3x+2 solve for graphing
Answer:
I plotted it out on the graph and here it is:
4 and 1/3 times 4 and 1/5
Answer:
The answer is 18.2 OR 18 1/5
Step-by-step explanation:
Hope it helps
A fair die is rolled twice. Let X denote the sum of the values. What is E[X|A] where A is the event that the first roll was a 6.
We will see that the expected value for X given that the first number is a 6, is:
E[X|A] = 9.5
How to get the expected value?
We know that X represents the sum of both values. The first value is already 6, so we have that fixed:
X = 6 + p
Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:
E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5
Then the expected value of X, given the event A.
E[X|A] = 6 + p = 6 + 3.5 = 9.5
So the expected value for X is 9.5
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Which transformation would create an image and a pre image that are similar figures?
The transformation which would create an image and pre image that are similar figures is dilation.
What is Similarity Transformation?Similarity transformations are transformations where there occurs a dilation with one or more transformations like rotation, reflection or translation.
This is called so because the triangles so formed will be similar figures.
Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
When the pre image is reflected, rotated or translated, it is not affecting the shape and the size. So the image and the pre image will be congruent.
Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
Dilation enlarges or reduces the size, so they are similar figures.
Hence dilation is the similar transformation.
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Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.
Step 1:
Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.
Step 2:
Step 2: a bar diagram shows that 20 and m is equal to s, the money now.
Enter your answer in the box.
Mrs. Reynolds has $
now.
Answer:
$68
m=48 s=68
Step-by-step explanation:
153-105=48+20=68
I Need help 75pts thanks in advance!
Answer:
m∠1 = 50° m∠2 = 130°m∠3 = 50°m∠4 = 130°Explanation:
⇒ m∠2 = 130°
Then,
⇒ m∠4 = 130° ( vertically opposite angles )
Here m∠1 = m∠3m∠1 + m∠2 + m∠3 + m∠4 = 360°
2(m∠1) = 360° - 130° * 2
⇒ m∠1 = 50°
⇒ m∠3 = 50°
Answer:
m∠1 = 50°
m∠3 = 50°
m∠4 = 130°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4 = 130°
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ m∠1 + m∠130° = 180°
⇒ m∠1 = 50°
As m∠1 = m∠3 then m∠3 = 50° also
do this only on number line
#4
-2/8=-1/43/6=1/2Refer to the attachment
#2
Mid point:-
-2/5+1/2/2-4+5/10/21/10/21/20Step-by-step explanation:
please mark me as brainlest
The equation y=19x relates proportional quantities x and y. What is the value of y when x is 4?
Answer:
y = 76
Step-by-step explanation:
Since x = 4
Substitute:
y = 19(4)
Multiply the numbers
y = 76
~Lenvy~
The coldest temperature recorded on the surface of a planet was - 248 Celsius is the warmest temperature recorded on the surface of the planet was 108 Celsius what are the correspondence temperatures in degrees Fahrenheit
Answer:
-414.4 F° and 226.4 F°
hope it helps
Rewrite in simplest radical form
X^5/6 / X^1/6
Answer:
[tex]\sqrt[3]{x^2}[/tex]
Step-by-step explanation:
The rule of exponents says that we must use subtraction for [tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex] since we are dividing.
Thus, we have [tex]\frac{x^\frac{5}{6} }{x^\frac{1}{6} }\\\\\frac{5}{6}-\frac{1}{6}=x^\frac{4}{6}=x^\frac{2}{3}[/tex]
When dealing with fractions and radicals, we can find the simplest radical form by using the saying [tex]\frac{exponent}{index}[/tex]
Thus we have [tex]\sqrt[3]{x^2}[/tex]