The changes in his account is that (d) The balance of the account increases by 6% each year.
How to determine the occurrence in his account?The function of the account balance is given as
f(x) = 4,000 (1.06)*
The above function is an exponential growth function
Such that the growth factor (b) is the number in bracket
This is represented as
b = 1.06
The percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 1.06 - 1
Evaluate the difference
r = 0.06
Express as percentage
r = 6%
This implies that the balance increases by 6% each year.
So, the true statement is (d)
Read more about exponential functions at:
brainly.com/question/11464095
#SPJ1
Nov 13, 12:27:13 PM
What is an equation of the line that passes through the points (5, -1) and (-5, 1)?
Answer:
y=-1/5x
Step by Step
y=mx+b
First find the slope
equation: y2-y1 divided by x2-x1
1-(-1)/-5-5
2/-10
simplified to -1/5
Now that we have the slope we need the y-int
using point slope form: y-y1=m(x-x1)
Let us use the point (5,-1)
y-(-1)=-1/5(x-5)
y+1=-1/5x+1
Subtract 1 to both sides
y=-1/5x
Find the angle x using circle theorem
Hey there! I explained and wrote everything on paper since it's hard to type so you can view the pic uploaded! Hope it helps, if you have any doubts, please feel free to ask :)
Can someone help me pls
Answer:
$8.30 per keychain
Step-by-step explanation:
15.5 is the price of one hat so we multiply by 3
15.5x3=46.5
Now we subtract this from 96.30
96.3-46.5=49.8
Now divide by 6 to get each key chain price
49.8/6= 8.3
$8.30 for each keychain
Claire’s answer is u reasonable because of the work I did above
Hopes this helps please mark brainliest
Question Prog
One-third of a number is 12.
Work out one-half of the number.
One-half of the number is 18.
Given that
One-third of a number is 12.
Let "x" be the number
Given that,
One-third of a number is 12
Which means,
[tex]\frac{1}{3} *x = 12[/tex]
x = 3*12
x = 36
Thus the number is 36
Work out one-half of the number
one half of the number = [tex]\frac{x}{2}[/tex]
one half of the number = [tex]\frac{36}{2}[/tex]
one half of the number = 18
Hence the answer is, one-half of the number is 18.
To learn more about one-half of a number click here https://brainly.com/question/28490542
#SPJ9
how much is 2/5 + 1/2 + 3/4 greater than 1
Answer:
0.65
Step-by-step explanation:
1.65 is 0.65 greater than 1
60 POINTS FOR FULL CORRECT ANSWER!!!!! I NEED IT NOW!!!!!
Whose sequence proves trapezoid PQRS is similar to trapezoid KLMN? Why?
THE ACTIVITY IS : Unit Activity: Transformations
Given
Complete the sentences
Parallel or not parallel
A polygon has 7 sides. The interior angle measures are 130°, 118°, 135°, 128°, 126°, 134°, and x°. Find the value of x.
Answer:
129 degrees.
Step-by-step explanation:
The Sum of all the interior angles of an a-sided polygon is always (n−2) × 180 degrees.
As this is a seven-sided polygon, the sum of its interior angles is (7−2) × 180 degrees = 5 × 180 degrees = 900 degrees.
Step 1: Find the sum of six of the angles is 130 degrees, 118 degrees, 135 degrees, 128 degrees, 126 degrees, and 134 = 771 degrees
Hence the seventh angle is x = 900 degrees − 771 degrees= 129 degrees.
how many nonnegative integers can be written of the form a7 * 3^7 a2 * 3^6 where ai {1, 0, -1} amc
The non negative integers can be written of the form is 3281.
Given:
a7 * 3^7 a2 * 3^6 where ai {1, 0, -1}.
ai = 7,6,5,4,3,2,1,0
Total = 8
= [tex]3^{8}[/tex] = 6561
= 6561 - 1 /2
= 6560/2
= 3280 is negative integers
Non negative or positive integers = 6561 - 3280 = 3281
Therefore the non negative integers can be written of the form is 3281.
Learn more about the non negative integers here:
https://brainly.com/question/16155009
#SPJ4
Select the choice that represents the two-variable equation after it has been solved for y in terms of x.
3(y + 2) - 4x = 0
Answer:
Step-by-step explanation:
3y+6-4x=0
3y-4x=0-6
3y-4x=-6
y-4x=6/3
y-4x=2
y-x=2/4
y-x=0.5
Given the ordered pair (-5, 4), name the coordinates after a rotation of 90° counter-clockwise.
Answer:
(-5,-4)
as 90 degree rotation counter clockwise would land in the third quaderant where both x and y are negative
Which graph shows the solution to the system of linear inequalities?
y < 2x – 5
y > –3x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.
The graph of the system of inequalities can be seen in the image at the end.
How to get the graph of the system of inequalities?
Here we have the following system of inequalities:
y < 2x - 5
y > -3x + 1
So first we need to graph the two lines:
y = 2x - 5
y = -3x + 1
With dashed lines (because the symbols < and > are used).
And then we shade all the region below the line:
y = 2x - 5
And we shade the region above the line:
y = -3x + 1
So we will get the graph below:
Learn more about systems of inequalities:
https://brainly.com/question/9774970
#SPJ1
Type the missing number to complete the proportion.
8 minutes for 3 songs =
minutes for 6 songs
Does the quadratic function
f(x) = 5x² + 5x + 21 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer.
Answer:
No real zeros.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Discriminant of the Quadratic Formula}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\When $b^2-4ac > 0 \implies$ two real zeros.\\When $b^2-4ac=0 \implies$ one real zero.\\When $b^2-4ac < 0 \implies$ no real zeros.\\\end{minipage}}[/tex]
The value of the discriminant shows how many zeros the function has.
Given quadratic function:
[tex]f(x)=5x^2+5x+21[/tex]
Therefore:
a = 5b = 5c = 21Substitute the values into the discriminant and solve:
[tex]\begin{aligned}\implies b^2-4ac&=(5)^2-4(5)(21)\\& = 25 - 20(21)\\&=25-420\\&=-395\end{aligned}[/tex]
Therefore, as -395 < 0, there are no real zeros.
Anyone good there at math? Explain briefly and give examples
Answer:
y = (3/4)x - 3/4=====================
Slope-intercept form is:
y = mx + b, where m- the slope, b- the y-interceptGiven line in standard form:
- 3x + 4y + 3 = 0Convert this to slope-intercept form:
- 3x + 4y + 3 = 04y = 3x - 3y = (3/4)x - 3/4Answer:
[tex]\boxed{y=\dfrac{3}{4}x-\dfrac{3}{4}}[/tex]
[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]
[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Given equation:
[tex]-3x+4y+3=0[/tex]
To write the given equation in slope-intercept form, rearrange the equation to isolate y.
Add 3x to both sides of the equation:
[tex]\implies -3x+4y+3+3x=0+3x[/tex]
[tex]\implies 4y+3=3x[/tex]
Subtract 3 from both sides of the equation:
[tex]\implies 4y+3-3=3x-3[/tex]
[tex]\implies 4y=3x-3[/tex]
Divide both sides of the equation by 4:
[tex]\implies \dfrac{4y}{4}=\dfrac{3x-3}{4}[/tex]
[tex]\implies y=\dfrac{3}{4}x-\dfrac{3}{4}[/tex]
Compare the rearranged equation with the slope-intercept formula:
[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]
[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]
The probability that at least one number is odd and the sum of the two numbers is even is. The probability that exactly one number is 6 and the product of the two numbers is at most 15 is.
The probability that at least one number is odd and the sum of the two numbers is even is 1/4
The probability that exactly one number is 6 and the product of the two numbers is at most 15 is 1/9
The easiest way to figure out probability problems with small data sets is to write out your entire sample space and then divide by the total:
Sample size = 6 * 6 = 36
S = {[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[2,1],[2,2],[2,3],[2,4],[2,5],[2,6],[3,1],[3,2],[3,3],[3,4],[3,5],[3,6],[4,1],[4,2],[4,3],[4,4],[4,5],[4,6],[5,1],[5,2],[5,3],[5,4],[5,5],[5,6],[6,1],[6,2],[6,3],[6,4],[6,5],[6,6]}
The only way to make a number combination that's even while 1 die is odd is to have 2 odd numbers.
{[1,1],[1,3],[1,5],[3,1],[3,3],[3,5],[5,1],[5,3],[5,5]}
This gives us 9 results.
The probability of this happening is 9/36 = 1/4 = 0.25
Now if we have to get a 6 with the product being at most 15 we know that the biggest number that 6 can be multiplied by is 2 which gives us 12.
We are left with 4 options:
{[1,6],[2,6],[6,1],[6,2]}
The probability of this happening is 4/36 = 1/9 = 0.1111...
To learn more about probability, visit:
https://brainly.com/question/11234923
#SPJ4
Kirk has just moved to Vindale and wants to check out some nearby restaurants. Starting from home, he drives 15 kilometers west, 45 kilometers east, and 75 kilometers west. Which direction must Kirk go to get back to his home?
Kirk will drive 15 kilometer east to get back to his home
How to determine the amount Kirk has to drive to get homeThe problem will be solved using basic addition operator and subtraction
Let the given information be represented as follows
he drives 15 kilometers west = 15 W
45 kilometers east = 45 E
75 kilometers west = 75 W
Kirk will drive East to get home = ?
since the distances are all in the horizontal direction we add up the west directions and subtract the east direction
15 W + 75 W = 45 E + ?
90 W = 45 E + ?
? = 90 - 45
? = 45 E
Learn more about driving distance here:
https://brainly.com/question/29321903
#SPJ1
If their food and beverages cost $25.30 and there is an 8% meals tax, , After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
The tip is 18%
From the question, we have
food and beverages cost = $25.30
meals tax = 8%
Tax = (8/100)* 25.3 = $2.02
Bill = $25.30 + $2.02
= $27.32
After adding a tip, the total lunch cost was $32.24.
Tip = $32.24. - $27.32 = $4.92
% of Tip = (4.92 / 27.32) * 100 = 18 %
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ1
Ken hikes a trail at a constant rate of 4/5 of a mile of a mile every 2/5 if an hour.he stops for a 3/4 hour lunch.he wants to hike at least 20 miles
Answer:
below
Step-by-step explanation:
Rate = 4/5 mi / 2/5 hr = 2 mi /hr
3/4 hr for lunch
20 miles / 2 miles/hr + 3/4 hr = 10 3/4 hr to hike 20 miles with a lunch
PLEASE ANSWER I WILL MARK BRAINLYEST
Factor −6x2 + 18x.
1. 6x(−x + 3)
2. −6x(x + 3)
3. x(6x + 18)
4. 6(−x2 + 18x)
Answer: 6x(-x+3)
Step-by-step explanation:
You can factor out the 6 and x. -6x^2 divided by 6x = -x, and 18x divided by 6x = 3. So the answer is 1. 6x(-x+3)
Answer:
-6x^2+18x
-6x^2-18x
6x^2+18x
-6x^2+108x
Step-by-step explanation:
1.
6x(-x+3)
6x(-x)+6x(3)
-6x^2+18x
2.
-6x(X+3)
-6x(X)+-6x(3)
-6x^2-18x
3.
x(6x+18)
x(6x)+x(18)
6x^2+18x
4.
6(-x^2+18x)
6(-x^2)+6(18x)
-6x^2+108x
Hopes this helps please mark brainliest
HELPPPPPP PLEASEEE SAVE ME
insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer
The numbers are inserted into the tree and shown in the below diagrams.
Given that,
Put these numbers into a 2-3-4 tree: 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50.
Binary Tree Data Structure: What is it?
A Binary Tree is a Tree data structure with two children or less. We typically refer to them as the left and right child since each element in a binary tree can only have two children.
Representation of a Binary Tree
A pointer to the topmost node of a binary tree serves as its representation. The root's value is NULL if the tree is empty.
The following components are found in a binary tree node:
Data
Pointer to left child in data
Pointer to the right-hand child
Thereforer, The numbers are inserted into the tree
Learn more about Binary Tree here:
brainly.com/question/13152677
#SPJ4
The question was incomplete. Check below the complete question.
insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer
Can someone tell me the answer piz •_•
The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .
Given,
The function is given as:
f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]
To find the bend behavior of f(x)
Now, According to the question:
Based on the given condition:
Analyze the end behavior of
f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]
As, x → infinity , f(x) → - infinity ;
as x → - infinity , f(x) → infinity .
Hence, The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .
Learn more about Function at:
https://brainly.com/question/28303908
#SPJ1
Please help today is my bday and I want to get an A
The proof of Δ SUE is not an isosceles triangle. is shown below.
What is distance Formula?If there are two points A(a, b) and B( c, d) then the distance between these two points are
AB= √( c-a )² + ( d-b )²
Given:
S(-2, -4), U(2, -1) and E(8, -9)
Using Distance formula
SU= √( 2 -(-2))² + ( -1-(-4))²
SU = √4²+ 3²
SU = √16+9
SU =5
and, UE = √( 8 -(2))² + ( -9-(-1))²
UE = √6²+ 8²
UE = √36+64
UE =10
and, ES= ( 8 +2 ))² + ( -9+4)²
ES = √10²+ 5²
ES = √100+25
ES = 5√5
As, none of the two sides are equal.
So, Δ SUE is not an isosceles triangle.
Learn more about distance formula here:
https://brainly.com/question/28956738
#SPJ1
HELPPP
im supposed to be turning this in in like 20 minutes
The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.
Given that,
The equations,
D=1-x² and C = -1-3x²+4x
We have to find the expression 3D-3C in standard form.
What the expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
We get,
3D-3C
3(1-x²)-3(-1-3x²+4x)
3-3x²+3+9x²-12x
6+6x²-12x
6x²-12x+6
Therefore, The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.
To learn more about expression visit: https://brainly.com/question/14083225
#SPJ1
guys help what is the answer to this need the answer asap
Whats 1+1=?
Answer:
2
Step-by-step explanation:
Question:
1 + 1 = ?
1 + 1 = 2
what does correlation investigate? select one: a. linear association between two numeric variables b. variances between two numeric variables c. association between two categorical variables d. differences of means between two numeric variables
Correlation is a bi-variate analysis that measures the strength of association between two variables and the direction of the relationship.
What is bi-variate analysis?
Bivariate analysis is one in every of the only kinds of quantitative (statistical) analysis. It involves the analysis of 2 variables (often denoted as X, Y), for the aim of deciding the empirical relationship between them.
Main Body:
The correlation coefficient's value ranges from +1 to -1. the entire degree of correlation between the 2 variables is indicated by a worth of one. The association between the 2 variables are weaker because the parametric statistic price approaches zero.
Hence correlation investigate linear association between two variables.
To know more about bi-variate analysis click on the link below
https://brainly.com/question/16795255
#SPJ4
through (-3,-1) perp to y=-1/2x=5
PLease ANSWER HURRY
The equation of line passing through the point (-3, -1) and is perpendicular to the line y = -x/2 - 5 is y = 2x + 5
What are perpendicular lines?perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
In such lines the product of their gradients is -1.
if y = -x/2 - 5
then comparing the equation with y = mx + c
it means slope(m) = -1/2
so the slope(p) of the second line perpendicular to the above line will be
p x m = -1
p = -1/m
p = -1 ÷ -1/2
p = 2
so if x = -3, y = -1 and substituting these values into the equation of line , y = mx + c becomes
-1 = 2 x (-3) + c
-1 = -6 + c
collect like terms
c= 6 - 1
c = 5
Equation of the second line becomes,
y = 2x + 5
In conclusion, the equation of the lines passing through point(-3, -1) is y = 2x + 5
Learn more about perpendicular lines: https://brainly.com/question/7098341
#SPJ1
what is the probability of rolling a small straight on the first round? round your answer to have three decimal places. enter your solution into variable
Answer:it depends on how many sides their are
Step-by-step explanation:
just factual
which of the following can be classified as data reduction techniques? a. cluster analysis b. sampling c. data visualization d. none of the above
The answer of the question is A. Cluster Analysis
Data reduction is a stage of qualitative data analysis techniques. Data reduction is simplification, classification, and unnecessary hoarding of data in such a way that the data can produce meaningful information and facilitate drawing conclusions.
Data reduction is done to provide more specific representation and make it easier for researchers to collect data then look for additional data if needed.
Various dimension reduction methods are used to reduce the complexity of data before further processing. One of data reduction techniques is Cluster Analysis. Cluster analysis is used to group or classify data with various types, for example in types according to the concept, and certain categories according to the research being conducted.
Learn more about Data Reduction at https://brainly.in/question/6416423
#SPJ4