The amount luke made more than alexa is $3.91 .
What is simple interest ?
simple interest can be defined as the ratio of product of principal amount , rate and time and 100.
Luke investment,
This is compound interest so the future value formula will be used:
= Amount * ( 1 + rate) ^ no. of years
= 4,000 * ( 1 + 1.8%)³
= $4,219.91
Alexa investment:
Simple interest is calculated with the formula:
= Amount * ( 1 + rate * time)
= 4,000 * ( 1 + 1.8% * 3)
= $4,216
Amount Luke made more than Alexa:
= 4,219.91 - 4,216
= $3.91
Hence , The amount luke made more than alexa is $3.91 .
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Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
I need IXL answer's PLEASE
The scale factor of the drawing of the neighborhood park would be = 2000.
What is a scale factor?The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).
The width of the neighborhood park. in real life = 8 meters
To convert 8 meters to millimetres is to multiply by 1000
= 8 × 1000 = 8000 mm
The scale factor = 4 × X = 8000
make X the subject of formula;
X = 8000/4
X = 2000.
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A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Each child's real height falls between 1.60 and 1.28, with the tallest child's height difference at 0.32 and the smallest child's height difference at 0.04 respectively.
a) The ranges that each child's actual height falls within is ;
Here, Daisy is 1.28 meters short while Isaac is 1.56 meters tall at his tallest.
b) The largest height difference between the tallest and shortest child is 1.60-1.28 =0.32m , while the smallest height difference is 1.60-1.56 = 0.04meters.
Error interval: What does it mean?A number's possible range of values before being rounded or truncated is known as an error interval. Inequalities are frequently used to express error intervals as a range having a lower bound and an upper bound.
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*PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST*
Write an expression equivalent to 3n2 + 12n that is a product of two expressions.
Enter numbers, variables, or expressions in the boxes.
Answer:
3n(n + 4) = 0
n = 0, -4
Step-by-step explanation:
3n(n + 4) = 0
3n = 0
n = 0
n + 4 = 0
n = -4
Answer:
Step-by-step explanation:
3n2 + 12n factors into (3n)(n + 4n).
Is 4/10 less than 4/6?
Answer:
No. 4/10 >4/6
Step-by-step explanation:
I hope this helps you :)
Which negative angle is equivalent to a 75° angle?
O A. An angle measuring -105°
B. An angle measuring -275°
C. An angle measuring -75°
D. An angle measuring -285°
Answer:
maybe c?... I'm sorry that's just my educated guess..
Find X and Y.
I really need help on this. It’s confusing.
Step-by-step explanation:
7x-2 ) + (١١x -34)
so u will get the answer
after getting it u can easy get y
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
☆ Emily has $16 more
Step-by-step explanation:
FOR JAXON:
You want to calculate the interest on $600 at 2.5% interest per year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $600.00.
r is the interest rate, 2.5% per year, or in decimal form, 2.5/100=0.025.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 600 × 0.025 × 3 to get that:
The interest is: $45.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 600.00 + 45.00 = 645.00.
Jaxon will have $645 after he closes his account.
FOR EMILY
You want to calculate the interest on $600 at 5.1% interest per year after 2 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $600.00.
r is the interest rate, 5.1% per year, or in decimal form, 5.1/100=0.051.
t is the time involved, 2....year(s) time periods.
So, t is 2....year time periods.
To find the simple interest, we multiply 600 × 0.051 × 2 to get that:
The interest is: $61.20
Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),
or 600.00 + 61.20 = 661.20.
Emily will have $661 when she closes her account.
☆ Therefore, Emily will have $16 more than Jaxon.
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I hope you have a good day!!! ☆ :D
A 140 meter rope is cut into two pieces. One piece is four time as long as the other. How long is each piece? Solve using substitution or elimination.
Answer:
28 m, 112 m
Step-by-step explanation:
x = length of short piece
4x = length of long piece
x + 4x = 140
5x = 140
x = 140/5 = 28
4x = 4(28) = 112
The school surveillance camera was able to capture an image of the suspect. The image
shows the thief standing next to the gym door. In real life the door measures 84 inches but
is 14 cm in the image. If your suspect is 10.83 cm in the photo. How many inches tall are
they in real life? (Round to nearest whole inch.) Report the height in feet and inches. Ex.
"2 feet 5 inches"
Answer:
77.4 inches
6 feet 4 inches
Step-by-step explanation:
what persent of 14 is 10.83 is 77.35
what persent of 84 is 77.3571428571 is 92.08
what is 92.08% of 84 is 77.34
77.34 inches to feet is 6 feet and 4 inches
Greta's bill for brunch was at a restaurant was $35. She left a 20% tip. What was the amount of the tip
Answer:
$7.00
Step-by-step explanation:
20% = 0.2
35(0.2) = 7
Angle A and Angle B are complementary angles. The measure of Angle A is twice the measure of Angle B.
Write and equation to represent the complementary angle relationship between Angle A and Angle B. Use the equation to find
the measure of Angle A and B. Show all of your work.
Answer:
Acc.to question,
A+B=90° (since,they are complementary angles)
or,A+ A/2=90°(since,A is. twice the measure of B)
or,3A/2=90°
or,A=(90°×2)/3
:.A=60°
Also,
B=A/2=60/2=30°
A scooter shop is offering a 30% discount on all of its scooters. Shirley buys a scooter that had an original price of $840. What was the discounted price of the scooter?
Answer:
$588Step-by-step explanation:
Original price = $840
Discount = 30%
Discounted price is:
$840 - 30% of $840 =$840*0.7 = $588A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.
The confidence interval for the difference of the population mean is calculated as,
CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2
= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82
=6.4 ± 1.199
=(v5.201 , 7.599)
therefore , approximately 5.20 , 7.60 .
Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.
The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.
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What is equal to 7 x 98
Answer:
[tex] \huge \colorbox{red}{Question}[/tex]
What is equal to 7 x 98️️️️
️️
️️️️
[tex] \huge \colorbox{green}{✍ Answer}[/tex]
7 × 98
7 × 98 = 686
ILL GIVE BRAINLIEST PLS HELP IMMEDIATELY -- The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what percent of the trees are between 20 and 30 years old? (2 points)
Answer:
79%
Step-by-step explanation:
Most of today's student calculators have built-in statistical functions. I will use my old TI-83 Plus here:
normalcdf(20, 30, 25, 4)
The calculator returns 0.789.
Approximately 79% of the trees are between 20 and 30 years old
Answer:
68%.
Step-by-step explanation:
The mean is 25 and the standard deviation is 5. So 20 is one standard deviation below the mean and 30 is one standard deviation above the mean.
According to the Empirical Rule, 68% of the normal curve is between ±1 standard deviations. So the answer is 68%.
A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?
Answer:
The total volume of the glass is 300 cm^3.
Step-by-step explanation:
Let V represent the total glass volume.
Then (4/5)V - (2/3)V = 40 cm^3. The LCD here is 15, so we rewrite this equation as
(12/15)V - (10/15)V = 40 cm^3, or
(2/15)V = 40 cm^3.
Solve for V by multiplying both sides of this equation by (15/2):
(15/2)(2/15)V = (15/2)(40 = 300 cm^3
The total volume of the glass is 300 cm^3.
Help me ASAP!!!! Please asap!!! I will give 50 points for the correct answer!
Answer:
10
Step-by-step explanation:
The equation of a triangle is that all the angles add up to 180°.
So,
180 = 90 + 27 + (6x+3)
180 = 117 + (6x+3)
( Subtract 117)
63 = (6x+3)
( Subtract 3)
60 = 6x
( Divide by 6)
10 = x
HELP DUE IN 15 MINS!
Quadrilateral DAVE has vertices D(2, 2), A(4, 2), and V(5, -3). Plot a point E to make DAVE an isosceles trapezoid.
1. What are the coordinates of E ( , )??
Answer:
i believe it's (1, -3)
hope it helps!
i neeeed helpppppppppppppp
Answer:
y = -3x + 5/2
Step-by-step explanation:
y = -3x + 5/2
what number goes into 2556 without a remainder
Answer:
Step-by-step explanation:
Factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278. There are 17 integers that are factors of 2556. The biggest factor of 2556 is 1278. Positive integers that divides 2556 without a remainder are listed below.
Every number is divisible by itself and 1.
Calculating factors of 2556
2556/1 = 2556 gives remainder 0 and so are divisible by 1
2556/2 = 1278 gives remainder 0 and so are divisible by 2
2556/3 = 852 gives remainder 0 and so are divisible by 3
2556/4 = 639 gives remainder 0 and so are divisible by 4
2556/6 = 426 gives remainder 0 and so are divisible by 6
2556/9 = 284 gives remainder 0 and so are divisible by 9
2556/12 = 213 gives remainder 0 and so are divisible by 12
2556/18 = 142 gives remainder 0 and so are divisible by 18
2556/36 = 71 gives remainder 0 and so are divisible by 36
2556/71 = 36 gives remainder 0 and so are divisible by 71
2556/142 = 18 gives remainder 0 and so are divisible by 142
2556/213 = 12 gives remainder 0 and so are divisible by 213
2556/284 = 9 gives remainder 0 and so are divisible by 284
2556/426 = 6 gives remainder 0 and so are divisible by 426
2556/639 = 4 gives remainder 0 and so are divisible by 639
2556/852 = 3 gives remainder 0 and so are divisible by 852
2556/1278 = 2 gives remainder 0 and so are divisible by 1278
2556/2556 = 1 gives remainder 0 and so are divisible by 2556
When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What is the number
By setting up the equation and solving we get the positive number is 2/5.
What is positive number?A positive number is a number greater than zero. In mathematical terms, it is a number that is greater than zero on the number line. Positive numbers are often represented with a "+" sign in front of them, but this is not always necessary as the positive sign is the default and is usually omitted.
What is equations?An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts that the two expressions on either side of the "=" sign are equal and have the same value. The expressions on either side of the "=" sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.
For example:
2x + 3 = 7
x(2x+x/2)=x
2x^2+x^2/2=x
5x^2/2=x
5x^2=2x
5x=2
x=2/5
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Rule 1: Multiply by 2, then add 1/3 starting from 1. Rule 2: Add 1/2, then multiply by 4 starting from 0. What is the fourth ordered pair using the two sequences
Answer:
(10 1/3, 42)
Step-by-step explanation:
a1 = 1
a2 = a1×2 + 1/3 = 2 1/3
a3 = a2×2 + 1/3 = (a1×2 + 1/3)×2 + 1/3 = a1×4 + 2/3 + 1/3 =
= 4 + 3/3 = 5
a4 = a3×2 + 1/3 = ... = 10 1/3
b1 = 0
b2 = (b1 + 1/2)×4 = (0 + 1/2)×4 = 1/2 × 4 = 2
b3 = (b2 + 1/2)×4 = ((b1 + 1/2)×4 +1/2)×4 = 16×b1 + 16/2 + 4/2=
= 16/2 + 4/2 = 8 + 2 = 10
or (to check we made no mistake)
= (2 + 1/2)×4 = 8 + 2 = 10. => all ok, no mistake
b4 = (b3 + 1/2)×4 = ... = (10 + 1/2)×4 = 40 + 2 = 42
so, the fourth ordered pair (= the fourth elements of each sequence) is therefore (10 1/3, 42)
In the figure shown, what is the value of x?
Answer:
Step-by-step explanation:
SHOW HIGH CLARITY IMAGE, BUT USE CONGRUENCE OF TRINALGES AND FIND X BY EQUATING THE GIVEN SIDE I GUESS
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Select the correct answer. which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x 2y = 21
a. 4x 6y = 64
b. 2x y = 36
c. 4x y = 21
d. -3x 4y = 33
e. 3x 2y = 28
An equation that combines with the given equation x + 2y = 21 to form a system of equations with the solution x = 3 and y = 9 is 4x + y = 21.
The correct answer is an option (c)
As x = 3 and y = 9 are the solution of system of equations, the required equation must be true for x = 3 and y = 9.
Given equation is: x + 2y = 21
For x = 3 and y = 9 given equation is 3.
In order to find the required equation, we substitute the values of x and y in each equation and check whether the equation is true for x = 3 and y = 9.
a. For equation, 4x + 6y = 64
LHS = 4(3) + 6(9)
LHS = 12 + 54
LHS = 66
LHS ≠ RHS
So, this is not a required equation.
b. 2x + y = 36
LHS = 2(3) + 9
LHS = 6 + 9
LHS = 15
LHS ≠ RHS
So, this is not a required equation.
c. 4x + y = 21
LHS = 4(3) + 9
LHS = 12 + 9
LHS = 21
LHS = RHS
this is the required equation.
d. -3x + 4y = 33
LHS = -3(3) + 4(9)
LHS = -9 + 36
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
e. 3x + 2y = 28
LHS = 3(3) + 2(9)
LHS = 9 + 18
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
Therefore, the reuired equation is 4x + y = 21
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1. Write 7 example of mathematical expreion. 2. Larry had 5 3/6 yard of fabric. He ued 2 2/3 to make a bag for hi computer. Write an expreion that will how how much of the fabric Larry will have left. PLEASE HURRY UPPPPP!!! I HAVE 1 HOUR LEFT UNTIL SUBMISSION!!!
a) 7 examples are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
b) Fabric Larry will have left after using [tex]2\frac{2}{3}[/tex] yard out of [tex]5\frac{5}{6}[/tex] yard to make a bag for his computer is: [tex]3\frac{3}{6} yard[/tex]
What kinds of expressions are examples?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
7 examples of mathematical expression are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
For the second part of the question:
Larry had 5 3/6 yards of fabric. He used 2 2/3 yards to make a bag for his computer. Write an expression that will show how much of the fabric Larry will have left.
The mathematical expression that represents the amount of fabric Larry has left is:
5 3/6 - 2 2/3 = 2 7/18
You can simplify this further:
2 7/18 = 2 1/6
The amount of fabric Larry will have left is 2 1/6 yards.
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A bakery sells yesterday's bagels for a discounted rate of $2.64/dozen. What is the price per bagel?
Answer:
$0.22 per bagel
Step-by-step explanation:
A dozen is 12:
2.64/12 = 0.22
What is the measure of ∠A if it is complementary to ∠B that has a measure of 55?
For the given complementary angles, the measure of angle A is found to be 45°.
Define the term complementary angles?When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are referred to as supplementary angles.When two angles sum up to 90 degrees, they are complementary (a Right Angle). They don't even have to be close to one another for the total to be 90 degrees. Examples: The complimentary angles of 40° and 50°.For the stated question-
Angle A is complementary to Angles B.
So,
Angle A + Angles B = 90°
Angle A + 55° = 90°
Angle A = 90° - 55°
Angle A = 45°
Thus, the measure of angle A is found to be 45°.
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Why is Avogadro's number 6.02 x10 23?
The value of Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as Avogadro's number.
What is one mole?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.
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2/3
21 and 23 can best be described as
4
Answer:
A) Vertical angles
----------------------
1 and 3 and 2 and 4 are vertically opposite angles or vertical angles, so option A is correct.
-----------------------
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For problems 1 - 6, determine whether the relationships represented are A. Exponential., B. Linear., or C. Neither.
Step-by-step explanation:
a linear function is following
y = ax + b
that means the ratio of the y and x differences between the data points is constant (a).
an exponential function is in the form y = a^x. or some constant variations of it.
the base is constant (a), and the exponent of the constant is the variable (x).
1.
clearly exponential.
this is the typical graph of an exponential function.
it looks like y = 2^x, as e.g. f(4) = 2⁴ = 16, and the graph seems to be at least very close to this.
2.
exponential.
y = 3^(x - 0.5)
3¹ = 3
3² = 9
3³ = 27
3⁵ = 243
this is just y = 3^x shifted to the right by 0.5 units.
3.
linear.
the difference ratio between the data points is constant :
x is the row number (1, 2, 3, 4, 5, ...).
y is the number of seats per row (14, 16, 18, 20, 22, ...).
so,
(16-14)/(2-1) = 2/1 = 2
(18-16)/(3-2) = 2/1 = 2
...
(22-14)/(5-1) = 8/4 = 2
always constant (2).
4.
neither.
it is y = x²
when you compare 4. and 1. you see the clear difference between the 2 graphs.
5.
exponential.
remember, y = a^x.
well, here, a = 1/2. but that is still constant and doesnot change the principle.
the factor 10 stretches the graph a bit up (in fact, this 10 is the starting number of an exponential growth). but the function in its core is still exponential.
6.
linear.
when written that way, it just means that x = n, and for every increase of n by 1, y (f(n)) increases by +4.
so, the difference ratio stays constant (4/1 = 4).