Answer:
Scientific notation: 4 ⋅ 10 -4
expanded form: 0.0004
You deposit $4000 in an account earning 7% interest compounded continuously. How much will you have in the account in 10 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &10 \end{cases} \\\\\\ A=4000e^{0.07\cdot 10}\implies A=4000e^{0.7}\implies A\approx 8055.01[/tex]
Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.
What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)^2 as -(32)^2.
Emi forgot to take the square root of -135.6.
The error she made is Emi evaluated (46-78)² as - (32)² is wrong.
What is variance?Variance is calculated as the average of squared differences of the data observations from the mean.
Given data: 87, 46, 90, 78, and 89.
Here, the first Emi find the difference of 89 - 78 correctly.
Now, Emi division is also correct.
Now, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.
(46-78)² = (-32)²
Here she used the negative sign outside.
Hence, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.
Learn more about this concept here:
https://brainly.com/question/9899363
#SPJ1
Answer:
C.) Emi evaluated (46 - 78)2 as -(32)2.
Step-by-step explanation:
The interior angles of a pentagon are 126°, 114°, y°, and 83°. Find the value of y°?
please can someone help me with the answer to this question pls
am preparing for my WASSCE(west Africa senior school certificate examination) which is going to be held tomorrow
pls can someone help me
Answer:
217
Step-by-step explanation:
angles in a pentagon =540°
y°+126°+114°+83°=540°
y°+323°=540°
y°=540°-323°
y°=217°
Look at the set of quadrilaterals in the coordinate plane shown below.
Which statement is TRUE?
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.Look at the set of quadrilaterals in the coordinate plane shown below.
Which statement is TRUE?
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
The true statement about the set of quadrilaterals in the coordinate plane is B. Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
What is a quadrilateral?A quadrilateral is a polygon having four sides, four angles, and four vertices.
In this case, because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Learn more about quadrilateral on:
https://brainly.com/question/23935806
#SPJ1
What is the area of a rectangle with a length of 3in and a with of 5 square root of 2
Answer:
The area of the rectangle = 15√2 in²
Step-by-step explanation:
What is the area of a rectangle with a length of 3in
and a width of 5√2.
……………………………………………
FORMULA :
area of a rectangle = length × width
===============================
Then
The area of the rectangle = 3 × 5√2 = 15√2
use a number line to find the product.
5 x (-5)
a. -25
b. 25
c. 10
d. 0
Answer: a. -25
Step-by-step explanation:
1. Multiply the numbers
5x(−5)
Solution
−25x
Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.
The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
For the given problem, the image is given below.
The area of the arrow is,
Area = Area of rectangle + Area of triangle
= (1.5 in × 4.5 in) + (0.5×3×3)
= 6.75 in² + 4.5 in²
= 11.25 in²
Hence, the area of the arrow is 11.25 in².
Learn more about the Area:
https://brainly.com/question/1631786
#SPJ1
Jane had $5.00, then spent $2.00. How much does she have now?
Answer:
$3.00
Step-by-step explanation:
$5.00 = 5
$2.00 = 2
5
-2
_
3
3 = $3.00
Answer:
$3.00
Step-by-step explanation:
help help help help help
guys pls help me i will give brain list pls help me out
if someone could please help me i will be sending more so plsss i need help
Answer:
200
Step-by-step explanation:
Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown.
Step 1: (6x4 – 8x2) + (3x2 + 4)
Step 2: 2x2(3x2 – 4) + 1(3x2 + 4)
Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?
Faelyn should realize that her work shows that the polynomial is prime.
Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) – (8x2 + 4).
In Step 2, Faelyn should factor only 2x out of the first expression.
Faelyn should factor out a negative from one of the groups so the binomials will be the same.
An accurately describes what Faelyn should do next is option B. Faelyn should realize that her work shows that the polynomial is prime.
What are prime polynomials?Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called a prime polynomials.
The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:
Step 1: (6x⁴ – 8x²) + (3x² + 4)
Step 2: 2x²(3x² – 4) + 1(3x² + 4)
Since they do not have any common factor.
Faelyn should realize that her work indicates that the polynomial is prime.
Prime polynomials have integer coefficients.
An accurately describes what Faelyn should do next is option B. Faelyn should realize that her work shows that the polynomial is prime.
Learn more about prime polynomials here:
https://brainly.com/question/10717989
#SPJ1
Please Help!!! Two parallel lines are cut by a transversal. What is the measure of 7?
Answer:
D. 77º
Step-by-step explanation:
Because 3 and 7 are corresponding angles and 3 = 77º, 7 also is 77º.
What is the greatest common factor of
15x^7y^5+5x^5y^4-20x^6y
Answer:
5x^5y
Step-by-step explanation:
the number 2.525252.... can be written as a fraction, when reduced to its lowest term, the sum of numerator and denominator is:
Answer:
Here's your answer.
Let the number be x.
Here we have to multiply with 100 on both sides.
[tex] \implies \: 100x = 252.5252 \\ \\ \implies \: 100x = 250 \ + 2.5252... \\ \\ \implies \: 100x = 250 + x \\ \\ \implies \: 99x = 250 \\ \\ \implies \: x = \frac{250}{99} [/tex]
Therefore, sum of numerator and denominator = 25099 = 349
Hope it helps you from my sideAnswer:
349
Step-by-step explanation:
2.525252.... is a non-terminating and recurring number.2.525252.... can be expressed as [tex]2.\overline {52}[/tex]Now, we convert [tex]2.\overline {52}[/tex] as a fractional number. Lets start.[tex]Let \: x =2.\overline {52}[/tex]........(1)Multiply both sides of eq (1) by 100, we find:[tex]100x =252.\overline {52}[/tex]........(2)Subtracting (2) from (1)[tex]100x -x=252.\overline {52}-2.\overline {52}[/tex][tex]\implies 99x=250[/tex][tex]\implies x=\frac{250}{99}[/tex]Numerator = 250Denominator = 99 Sum of numerator and denominator = 250 + 99 = 349A jar has 9 pennies.
3 nickels, 8 dimes, and
5 quarters. A coin is chosen
at random, not replaced
then another is chosen.
Find the probability that
a quarter was chosen
followed by a penny,
Answer:
the answer to this question is 3/40
Step-by-step explanation:
if you want my explanation you ca
These graphs depict the price and output levels of apples under perfect competition and monopoly market structures. what is the extra amount that mary would pay for apples under a monopoly instead of a perfect competition? a. $2 b. $3 c. $4 d. $5 e. $6
The extra amount that Mary would pay for apples under a monopoly instead of perfect competition is B. $3
Calculations and Parameters:From the complete information,
There are images of the prices that can be gotten under a monopoly and the ones that can be gotten in a perfect competition by Mary.
The marginal cost which is graphed against the pound of apples and the price shows Mary would pay $15 and the marginal revenue shows that Mary would pay $12.
Hence, the difference between them, which is the extra amount to be paid would be $15-$12
=$3
Read more about perfect competition here:
https://brainly.com/question/3914700
#SPJ4
Answer:
B. 3$
Hope this helps!
Step-by-step explanation:
evaluate for f(6), show all work
Answer:
32
Step-by-step explanation:
f(6)=6^2-4
f(6)=36-4
f(6)=32
Answer:
f(6)=32
Step-by-step explanation:f(6)=6^2 -4
f(6)=36-4
f(6)=32
2 cups is equivalent to___ pint.
Answer:
1 pint is equal to 2 cups
Step-by-step explanation:
2 cups is equivalent to__1_ pint.
Hope This Helped
Answer:
answer is 1
Step-by-step explanation:
Question
The function defined by f(t)=12(1+0.03)t can be used to determine the population, in thousands, of a town t years since 1955. According to the function, what was the population of the town in 1955 and what was the percent increase in population from year to year?
Enter a number in each box to correctly complete the sentence.
The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
How to explain the population?A function assigns the value of each element of one set to the other specific element of another set. The function that gives the population of the town is given.
Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand. The percentage increase in population from year to year is 3%.
Therefore, the population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
Learn more about population on:
https://brainly.com/question/25630111
#SPJ1
Question 7 of 25
All else being equal, a study with which margin of error would give you the
most confidence in the results?
O A. 13 percentage points
OB. +12 percentage points
OC. 19 percentage points
OD. 16 percentage points
SUBMIT
Answer:
+12 percentage points
Step-by-step explanation:
All options have positive percentage in themselves
So lesser marginal error should be more applicable as lower the marginal errors lower the probability of doing mistakes so higher marks .
Option B
find the sum of 1+2-3+4+5-6+7+8-9+...+97+98-99
Answer:
Hi,
Step-by-step explanation:
Let's make group of 3 numbers
1+2-3=0
4+5-6=3
7+8-9=6
...
97+98-99=96
s=1+2-3+....+97+98-99=0+3+6+..+96=3*(0+1+2+3+...+32)
=3*(32+0)*33/2
=1584
Find the equation of the line in slope-intercept form containing the two points: (−1,5) and )(4,−3) Leave equation in fractional form.
Answer:
y = 1.6x + 3.4
Step-by-step explanation:
We have to use the equation y = m x + c to find the equation of the line.
Here,
m ⇒ slope
c ⇒ y-intercept
First, let us find the slope.
For that, we can use the given two coordinates.
( -1 , 5 ) ⇒ ( x₁ , y₁ )
( 4 , -3 ) ⇒ ( x₂ , y₂ )
The formula to find the slope of a line is :
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
Let us solve now.
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
m = ( 5 - ( -3 ) ) ÷ ( -1 - 4 )
m = ( 5 + 3 ) ÷ -5
m = 8 ÷ -5
m = -1.6
Now let us find the y-intercept (c ) of the line.
For that, let us get one of the coordinates which are given in the question.
I'll get ( -1 , 5 ) from that.
( -1 , 5 ) ⇒ ( x , y )
Let us solve now.
y = mx + c
5 = -1.6 × -1 + c
5 = 1.6 + c
5 - 1.6 = c
3.4 = c
Therefore,
m ⇒ -1.6
c ⇒ 3.4
So, the equation of the line is :
y = mx + c
y = 1.6x + 3.4
Multiple 4 by w then subtract v from the result
Answer:
4w-v
Step-by-step explanation:
Let the number be w.
Multiplying by 4:
4wSubtracting v,
4w-vFind the dependent value
for the graph
y = 15 - 3x
when the independent value is 2.
= [?]
The dependent value for the graph given the independent value is 9.
What is the dependent value?
The independent variable is the variable that explains the dependent variable. The dependent variable is the value that the independent variable determines.
The dependent variable is y and the independent variable is x.
y = 15 - 3(2)
y = 15 - 6
y = 9.
To learn more about independent variables, please check: https://brainly.com/question/26287880
#SPJ1
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
The total length of the trip 190.08 miles
How you do it is to add the 44% of 132 to 132
= (132 + (132×44%))
What is the length?Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.
First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.
132 × 0.44 is 58.08 miles.
Then you add that to the rest of the trip, 132 miles.
= (132 + 58/08
=190.08
The total length of the trip was 190.08 miles.
To learn more about the length of visit:
https://brainly.com/question/2217700
#SPJ1
please helb it is very hadr
Answer:
a=15.7mm2,31.4
b=18.84in2,37.68
the graph f(x) is shown below. Which function could represent the graph of f(x)?
(1) f(x)=(x+2)(x^2+3x-4)
(2) f(x)=(x-2)(x^2+3x-4)
(3) f(x)=(x+2)(x^2+3x+4)
(4) f(x)=(x-2)(x^2+3x+4)
The function which represents the graph is f(x) = (x + 2)(x² + 3x - 4). Then the correct option is 1.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The graph is given below.
The value of the function is zero for the values of x are -4, -2, and 1.
Let's check which function gets satisfied.
f(x) = (x + 2)(x² + 3x - 4)
The function can be written as
f(x) = (x + 2)(x + 4)(x - 1)
Then the values of x for which the value of the function is zero.
f(x) = 0
(x + 2)(x + 4)(x - 1) = 0
x = 1, -2, -4
Then the function will be f(x) = (x + 2)(x² + 3x - 4). Then the correct option is 1.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Which of the following is the graph of y = sine (4 (x minus pi))?
Answer:
Below is an array showing the x values, and phase shifts that occur in the graph of the equation.
[tex]~~~~~x~~~~f(x)\\\\\left[\begin{array}{cc}\pi &0 &\frac{9\pi }{8} &1\\\frac{5\pi }{4} &0&\frac{11\pi }{8} &-1&\frac{3\pi }{2}&0 \end{array}\right][/tex]
Answer:
Graph A
Step-by-step explanation:
Got 100% on edge
The mean age of a group of students is 16. John joins the group and the mean age changes to 18. How old is john ?
Answer:
John is 20 years old.
Step-by-step explanation:
Given the second mean is 18, it is equal to the first mean age plus John's unknown age. The sum is also divided by 2 because there are 2 values in the sum (1. John's age and 2. the mean, 16 yrs old).
Set up an equation: [tex]\frac{x+16}{2}=18[/tex]
multiply both sides by 2: [tex]x+16=36[/tex]
simplify: [tex]x=20[/tex]
There is 1/2 of a pizza left for 4 friends to share. What fraction of a pizza will each friend get to eat?
Answer:
12.5% is the answer.
Step-by-step explanation: