Answer:
The simple interest is 3.80% per year.
Step-by-step explanation:
We are presented with a simple interest problem and the following information has been availed;
Accumulated amount = 5503.51
Time = 19 years
Principal = 3196
The first step is to determine the total interest earned over the entire time period;
Interest = Amount - Principal
= 5503.51 - 3196
= 2307.51
The simple interest formula states the total interest earned is equal to the product of the principal, the interest rate and the time;
[tex]I=\frac{P*R*T}{100}[/tex]
Making R the subject of the formula yields;
[tex]R=\frac{100*I}{P*T}[/tex]
Substituting the values we have and simplifying;
[tex]R=\frac{100*2307.51}{3196*19}=3.80[/tex]
The simple interest is thus 3.80% per year.
There is 1 cup of sugar for every 3 cups of flour in an oatmeal raisin cookie recipe. Create a ratio table that shows how much of each item would be needed when wanting to make more than one batch of cookies
Answer:
For every 1 cup of sugar there needs to be 3 cups of flour
Step-by-step explanation:
You add 3 more cups of flour for every one cup of sugar you add.
1 cup of sugar = 3 cups of flour
2 cups of sugar = 6 cups of flour
3 cups of sugar = 9 cups of flour
4 cups of sugar = 12 cups of flour
5 cups of sugar = 15 cups of flour
And so forth.
Hope this help you!
One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared
Answer:
29119.66666...+14561.3333...=43681, 209ft^2, not square feet.
Step-by-step explanation:
"One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared"
Ok, so this is a tricky one- 209 feet squared, not 209 square feet, therefore the area is 209^2, or 43,681.
Next, let's define our variables-
x= the "other side"
z= 3 feet shorter than twice side
We can now make these (useful) equations
z=2x-3
43681= (2x-3)+x
We will focus on the latter for now-
Simplify
43681= (2x-3)+x
43681= 2x-3+x
43681= 3x-3
+3
43684=3x
/3
14561.3333...=x
z=2x-3
z=2*(14561.3333)-3
z=29119.66666....
29119.66666...+14561.3333...=43681
I only need someone to put it in the quadratic formula I already have solutions. Please answer ASAP!!! I will give brainliest!!!
The quadratic formula is [tex]\frac{-b+-\sqrt[2]{b^2-4ac}}{2a}[/tex]
and in the equation ax^2+bx+c=0
so now all you have to do is substitute the numbers into the quadratic formula
Give the polynomial function below find f(-4) f(x) =2x^2 - x+ 9
Answer:
f(-4) = 45Step-by-step explanation:
Put x = -4 to f(x) = 2x² - x + 9:
f(-4) = 2(-4)² - (-4) + 9 = 2(16) + 4 + 9 = 32 + 4 + 9 = 45
Riddle
"If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?"
Answer:
100 minutes?
lol
Answer:
5 minutes
Step-by-step explanation:
duh...
math help ^^ will give 10 points ^-^
Answer:
C
Step-by-step explanation:
Arc length is:
s = 2πr (θ/360)
Given θ = 80° and r = 7 ft:
s = 2π (7 ft) (80 / 360)
s = 1120π/360
s = 28π/9
Answer is C.
Camilo practica tiro al blanco. En cada disparo acertado puede obtener 5, 8, o 10 puntos. En su última práctica, su puntuación total fue de 99, él obtuvo 8 puntos tantas veces como 10 puntos. Si en el 75% de las veces acertó al blanco, ¿cuántos disparos hizo Camilo en total?
Answer:
20 disparos
Step-by-step explanation:
Primera etapa es de determinar cuantos tiros de Camilo acertaron al blanco.
Sabemos que en su última práctica, obtuvo 99 puntos con una mezcla de 5, 8 y 10 puntos. Eso puedo se exprimir así:
5x + 8y + 10x = 99
Sabemos también que el obtuvo tantos tiros de 8 puntos que de 10 puntos, entonces
y = z
Podemos mezclar las 2 ecuaciones y substituir y por z:
5x + 8y + 10y = 99
5x +18y = 99
Una ecuación, dos variables... no es fácil... pero son números pequeños y se puede intentar soluciones. Entonces, cuantas veces podemos multiplicar 5 y 18 para obtener 99?
El más simple es de hacer la tabla de multiplicación de 18 y ver cual número nos deja con un multiple de 5.
18 x 1 = 18 (99 - 18 = 81, no un multiple e 5)
18 x 2 = 36 (99 - 36 = 63, no un multiple de 5)
18 x 3 = 54 (99 - 54 = 45, SI, un multiple de 5)
18 x 4 = 72 (99 - 72 = 27, no un multiple de 5)
18 x 5 = 90 (99 - 90 = 9, no un multiple de 5)
Entonces, sabemos que y = 3 y z = 3
5x + 18 (3) = 99
5x + 54 = 99
5x = 45
x = 9
El tiró 9 veces por 5 puntos, 3 veces por 8 puntos y 3 veces pour 10 puntos.
En total tiró 15 veces.
Si acertó 75% (3/4) de las veces, cuantos tiros total?
[tex]\frac{15}{3/4} = \frac{15 * 4}{3} = 20[/tex]
Camilo tiró 20 veces en total.
Make your turn please
Answer:
9inStep-by-step explanation:
Use the Pythagorean theorem:
leg² + leg² = hypotenuse²
We have
leg = 40in
hypotenuse = 41in
Let other leg = x.
Substitute:
x² + 40² = 41²
x² + 1600 = 1681 subtract 1600 from both sides
x² = 81 → x = √81
x = 9in
Two squares are similar. The first square has sides that measure 4 inches, and the second square has sides that measure 12 inches. The scale factor used to get from the first square to the second one is
3, because 12/4=3. And 12:4 is equal to 3:1 or 3.
When was the devil born?
what does this have to do with math?
Describe the transformation that occurred on f(x) to create g(x).
Tranlslated:
A. 6 units to the right
B. 6 units to the left
C. 7 units to the right
D. 7 units to the left
and:
A: 6 units up
B. 6 units down
C. 7 units up
D. 7 units down
Reflection:
A. Did occur
B. Did not occur
C. Can't be determined
Answer:
f(x) translated 3 units to the left and 8 units down, there is no reflection occurred
Step-by-step explanation:
* Lets revise some transformation for the functions
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Now lets study the problem
∵ g(x) = 2(x + 3)² - 8
# x + 3 ⇒ means f(x) translated 3 units to the left
# -8 ⇒ means f(x) translated 8 units down
# There is no reflection occurred
what is the square root of m to the power of 6
Step-by-step explanation:
[tex]\sqrt{m^6}=\sqrt{m^{3\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(m^3)^2}\qquad\text{use}\ \sqrt{a^2}=|a|\\\\=|m^3|\\\\\text{if}\ m\geq0,\ \text{then}\ \sqrt{m^6}=m^3\\\\\text{if}\ m<0,\ \text{then}\ \sqrt{m^6}=-m^3[/tex]
I promise BRAINLIST!!! It's simple!!!
Make a stem-and-leaf plot that represents the data set below?
64, 67, 81, 89, 108, 114, 74, 52, 93, 76, 87
Answer:
answer in the image attached above
Step-by-step explanation:
Hope it helps
Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee. Which inequalities can represent this situation if m is the number of songs he can buy? Check all that apply.
Answer:
[tex]1.5m+1\leq 25[/tex]
Step-by-step explanation:
Given that Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.
This activation fee is once for all and hence fixed independent of the number of songs.
Thus total amount available = 25 dollars
This should be spent for both activation fee and songs
Let number of songs = m
Total cost [tex]= 1.5m+1[/tex]
This cannot exceed 25 dollars
So the ineqality would be
[tex]1.5m+1\leq 25[/tex]
Match the shape with the correct formula for finding the area. 1. Rectangular Prism rl + r2 2. Triangular Prism 2B + Ph 3. Pyramid 2rh +2r2 4. Cylinder 2ll + l2 5. Cone 2lw + 2lh + 2wh
Answer:
Rectangular prism =2lw + 2lh + 2wh
Triangular prism = 2B + Ph
Pyramid =2ll + l²
Cylinder = 2π
Cone = πrl + πr²
Step-by-step explanation:
The matched shapes and their areas are:
Rectangular prism =2lw + 2lh + 2wh
Triangular prism = 2B + Ph
Pyramid =2ll + l²
Cylinder = 2π
Cone = πrl + πr²
What is a cone, cylinder, prism and pyramid?A cylinder is a three-dimensional object. It is a prism with a circular base. A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces.
A cone is a three-dimensional object that tapers to a vertex. A prism is three-dimensional object that has two identical shapes facing one another.
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The graph below plots the values of y for different values of x:
Plot the ordered pairs 1, 8 and 2, 3 and 3, 0 and 4, 1 and 5, 2 and 6, 1
What is the correlation coefficient for the data plotted?
−0.9
−0.6
0.6
0.9
Answer:
-0.6
Step-by-step explanation:
we know that
The correlation coefficient is a measure of the strength of the straight-line or linear relationship between two variables. Correlation coefficients are expressed as values between +1 and -1
we have
(1,8),(2,3),(3,0),(4,1),(5,2),(6,1)
using a Excel tool (CORREL function)
see the attached table
The correlation coefficient is -0.68
Answer:
X Values
∑ = 21
Mean = 3.5
∑(X - Mx)2 = SSx = 17.5
Y Values
∑ = 15
Mean = 2.5
∑(Y - My)2 = SSy = 41.5
X and Y Combined
N = 6
∑(X - Mx)(Y - My) = -18.5
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -18.5 / √((17.5)(41.5)) = -0.6865
Meta Numerics (cross-check)
r = -0.6865
Write the equation of a line in slope intercept form that is parallel to 2X plus 4Y equals 10 and passes through the point (8,2)
Answer: [tex]y=-\frac{1}{2}x+6[/tex]
Step-by-step explanation:
The equation of the line is slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b thte y-intercept.
The lines are parallel, then they have the same slope.
Solve for "y" from [tex]2x+4y=10[/tex] to find the slopes of the lines :
[tex]2x+4y=10\\4y=-2x+10\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]
The value of the slopes of the lines is:
[tex]m=-\frac{1}{2}[/tex]
Substitute the slope and the point into the equation of the line and solve for "b":
[tex]2=-\frac{1}{2}(8)+b\\2=-4+b\\b=6[/tex]
Then the equation of this line is:
[tex]y=-\frac{1}{2}x+6[/tex]
The answer is:
The equation of the new line will be:
[tex]y=-0.5x+6[/tex]
or
[tex]y=-\frac{1}{2}x+6[/tex]
Why?To solve the problem, we need to remember the slope intercept form of a line.
The slope intercept form of a line is given by the following equation:
[tex]y=mx+b[/tex]
Where,
y, is the function.
x, is the variable of the function.
m, is the pendant of the line.
b, is the y-axis intercept of the line.
So, we are given the line that will be parallel to the line that we are looking for:
[tex]2x+4y=10\\4y=-2x+10\\4y=-2(x-5)\\y=\frac{-2}{4}*(x-5)\\\\y=-\frac{1}{2}*(x-5)\\\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]
Where,
[tex]m=-\frac{1}{2}[/tex]
Then,
We need to use the same slope to guarantee that the new line will be parallalel to the given line-
So, our new line will have the following form:
[tex]y=-\frac{1}{2}x+b[/tex]
We need to substitute the given point to isolate "b" in order to guarantee that the line will pass through.
Now, substituting the given point, to calculate"b", we have:
Calculating b, we have:
[tex]2=-\frac{1}{2}8+b[/tex]
[tex]2=-4+b[/tex]
[tex]2+4=b[/tex]
[tex]6=b[/tex]
Hence, we have that the equation of the new line will be:
[tex]y=-0.5x+6[/tex]
or
[tex]y=-\frac{1}{2}x+6[/tex]
Proving that the line will pass through the given point, by substituting it into its equation, we have:
[tex]2=-0.5(8)+6[/tex]
[tex]2=-4+6[/tex]
[tex]2=2[/tex]
So, since the equality is satisfied, we know that the line pass through the new line.
Have a nice day!
Find the area of the shape
Answer:
32 square units
How do I do this algebra??
Answer:
75
Step-by-step explanation:
Square both sides. 225=3x^2
divide both sides by 3
x^2=75
x=√75= 5√3
[tex]15 = x \sqrt{3} \\ \\ 1. \: 15 = \sqrt{3x} \\ 2. \: \frac{15}{ \sqrt{3} } = x \\ 3. \: x = \frac{15}{ \sqrt{3} } [/tex]
Harry is in line at the store.he has 3 items that cost $5.95,$4.25 and $1.05.explain how Harry can add the cost of the items mentall before the pays for them
Annabelle measured her bedroom as 11 ft x 13 ft which is 143 square feet help me in this
Answer:
theres the answer I got it right
Step-by-step explanation:
There are 12 inches in every feet and the area will be increased by 144 factors.
How do convert feet into inches?Feet and inches are the units of length. One inch is equal to 1/12 times the feet.
The length and the breadth are given as 11 feet and 13 feet.
The area of the bedroom is 143 square feet.
We know that 1ft = 12 in
So, The length would become 11 feet to 132 inches.
The breadth would become 13 feet to 156 inches.
The area would become
The area of the rectangle = length × Width
= 132 × 156
= 20592 in .sq
The area of the bedroom increased by 144 factors.
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What are the opposites of 9, -2.6, 1.15, 7 1/3? Enter the answers in respective order, each separated by a comma.
-9, 2.6, -1.15, -7 1/3
To find the opposite of a number, multiply or divide it by -1. These four numbers just each got multiplied by -1 to get the answers.
Good stuff is giving away free pens to each of the first 200 people who came in the store today. In the first hour, they gave away 75% of the pens how many is this?
Answer:
150 pens
Step-by-step explanation:
1. 75% = 0.75
2. 200 * 0.75 = 150 pens
Answer:
This would be 150.
Step-by-step explanation:
Given
The number of people who will get the pen = 200
Since, each person gets only one pen,
Thus, the total number of pen required = 200,
Also, 75% pens are given away,
Hence, the number of pen distributed = 75% of the total pens
= 75% of 200
[tex]=\frac{75\times 200}{100}[/tex]
[tex]=\frac{15000}{100}[/tex]
= 150
Which of these expressions is equivalent to log (20/3)
Answer:
C log (20) - log (3)
Step-by-step explanation:
log (a/b) = log (a) - log (b)
log (20/3) = log (20) - log (3)
Answer: C. log (20) - log (3)
Step-by-step explanation: a p e x /\ dude above me is right too
which matrix is equal to [-6,-6.5,1.7,2,-8.5,19.3]
Answer:
Bruh its D.
Step-by-step explanation:
D has the exact same values as the original matrix.
Answer:
[tex]\large\boxed{\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right]}[/tex]
Step-by-step explanation:
Equal matrices are identical. We have the same numbers in the same places. Therefore, the matrix equal to a given matrix is the same matrix.
erza has a square brick patio. he wants to reduce the width by 4 feet and increase the length by 4 feet.
let x represent the length of one side of the square patio. write expressions for the length and width of the new patio. then find the area of the new patio if the original patio measures 9 feet by 9 feet.
Answer:
Area of new patio = 65 ft^2.
Step-by-step explanation:
For the new patio:
Width = x-4 feet
Length = x+4 feet.
Given that x = 9, the new patio has dimensions 9-4 and 9+4 = 5 by 13 feet and its area = 5*13 = 65 ft^2.
The area of the new square brick patio is 65 ft².
Given that, the original patio measures 9 feet by 9 feet.
What is the formula to find the area of a square?The formula to find the area of a square is a².
Where, a=side.
Now, for the new patio:
Width = x-4 feet and Length = x+4 feet.
Given that x = 9, the new patio has dimensions 9-4=5 and 9+4 = 13 feet and its area = 5*13 = 65 ft².
Therefore, the area of the new patio is 65 ft².
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What is the measure of angle 3
Answer:
<3=31
Step-by-step explanation:
since opposite angle are equal angle 3 and the angle on the left side of 118 have to be equal. And since there are 180 degrees in a triangle,180-118=62, 62/2= 31 so angle 3 is 31
hope this helps
ANSWER
[tex]\angle3 = 31\degree[/tex]
EXPLANATION
The adjacent angles of a parallelogram are supplementary.
The angle adjacent to 118° is
[tex]180 \degree - 118 = 62 \degree[/tex]
Since the diagonals bisect corner angles,
we divide the adjacent angle into two to obtain;
[tex] \angle3 = \frac{62 \degree}{2} = 31\degree[/tex]
The answer and how to do it for me homework
Answer:
15
Step-by-step explanation:
Answer:
y = -5
Step-by-step explanation:
You are solving for y. You want to know which value of y makes the equation true. You must end up with y alone on the left side equaling a number.
12y + 25 = -35
First, subtract 25 from both sides.
12y + 25 - 25 = -35 - 25
12y = -60
Now divide both sides by 12.
12y/12 = -60/12
y = -5
Answer: y = -5
Olivia solved a division problem by subtracting and keeping track as shown. Identify the problem she solved.
Answer: 314÷13
..............................................................................
Answer:
13/314
Step-by-step explanation:
A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters? Please show me how you work it out.
Answer:
1200 millimeters
Step-by-step explanation:
Given
Height=1 meter 20 centimeter
In order to convert the height into millimeter we have to convert to millimeter
We will have to convert the meters into centimeters and then centimeters into millimeter.
So,
We know that
1 meter=100 cm
So total height in centimeters will be:
1 meter 20 centimeter=100+20
= 120 cm
In order to convert centimeters into millimeters, we will use
1 cm=10 millimeter
To convert into smaller unit, multiplication is used,
So,
120 cm=120*10
=1200 mm
So the height in millimeter is 1200 ..
The total height of the robot can be obtained by converting meters and centimeters to millimeters. One meter equals 1000 millimeters and one centimeter equals 10 millimeters, so 1 meter and 20 centimeters equal 1400 millimeters.
Explanation:To convert the robot's height from meters and centimeters to millimeters, we need to know that 1 meter equals 1000 millimeters and 1 centimeter equals 10 millimeters. On conversion, 1 meter and 20 centimeters equate to 1200 millimeters and 200 millimeters respectively. So, by adding these values we find that the total height of the robot in millimeters is 1400 millimeters.
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