Answer:
A. m = 0
Step-by-step explanation:
The slope is 0 as the change in y-value is 0, and change in x-value is infinite.
Graph
SOMEONE pleaseee helpp
Answer:
its b
Step-by-step explanation:
Answer: b
Step-by-step explanation:
Sienna Rose received $3500 cash in graduation presents. She invests it in an account earning 3.35% interest compounded monthly. How long will it take for her money to grow to $5500 ?
Answer:
It will take about 13.5 years for the money to grow to $5,500
That would be about 13 years and 6 months
Step-by-step explanation:
The formula for accrued amount(principal + interest) is given by:
\(A = P\left(1 + \dfrac{r}{n}\right)^{nt}\quad(1)\\\)
where
P = Principal amount
r = R/100 where R is the annual interest rate as a percentage
n= number of times compounded per year
t = number of years
Given
A = $5,600
P = $3,500
R = 3.35% ==> r = 3.35/100 = 0.0335
n = 12 (since there are 12 months in a year)
We have to find out t
Plugging known values into equation (1)
\(5500 = 3500\left(1+ \dfrac{0.0335}{12}\right)^{12t}\\\\5500 = 3500 \left(1+ 0.002791\right)^{12t}\\\\5500 = 3500 (1.002791)^{12t}\)
Switch sides so unknown appears on the left side:
\(3500 (1.002791)^{12t} = 5500\)
Divide by 3500 both sides:
\((1.002791)^{12t} = \dfrac{5500 }{3500}\\\\(1.002791)^{12t} = 1.5714\\\\\)
Take logs on both sides:
\(\ln \left(1.002791^{12t}\right)=\ln \left(1.5714\right)\\\\\)
We have
\(\ln \left(1.002791^{12t}\right) = 12t\ln \left(1.002791\right)\\\\\)
Therefore we get
\(12t\ln \left(1.002791\right)=\ln \left(1.5714\right)\\\\t\ln \left(1.002791\right)=\ln \left(1.5714\right)\\\\\\\)
Dividing both sides by \(12\ln \left(1.002791\right)\) this works out to
\(t=\dfrac{\ln \left(1.5714\right)}{12\ln \left(1.002791\right)}\)
\(t = 13.51359\; years\)
Rounding to one decimal place
\(t = 13.51\; years\\\)
This would be roughly 13 years and 6 months
y varies inversely as x. y= 27 when x=5 Find y when x=3
As y varies inversely as x, the value of y when x = 3 is 45.
What is the value of y when x = 3?Inverse proportionality is expressed as:
y ∝ 1/x
Hence:
y = k/x
Where k is the constant of proportionality.
First, we determine the constant of proportionality.
Using the information given in the problem.
When x = 5, y = 27
Substituting these values into the formula, we get:
y = k/x
27 = k/5
k = 135
Now that we have found the value of k, we can use the formula to find y when x = 3. Substituting x = 3 and k = 135, we get:
y = k/x
y = 135/3
y = 45
Therefore, the value of y is 45.
Learn more about proportionality here: https://brainly.com/question/27530069
#SPJ1
In the set of real numbers, the first number greater than -4 is -3.
true or false?
Answer:
........ true ...
obviously -3 is greater than -4
Answer:
False.
Step-by-step explanation:
There are many real numbers between -4 and -3. For example -3.5.
let x represent the number of customers arriving during the morning hours and let y represent the number of customers arriving during the afternoon hours at a diner. you are given
a. x and y are poisson distributed.
b. the first moment of x is less than the first moment of y by 8. c. the second moment of x is 60% of the second moment of y. calculate the variance of y.
(a) x has a mean of x and a variation of x that is also x. In a similar way, the variance and mean of y are both y.
Let's denote λx and λy as the arrival rates for the morning and afternoon hours, respectively.
Given that x and y are Poisson distributed, we know that the mean and variance of a Poisson random variable are both equal to its rate parameter. Therefore, the mean of x is λx, and the variance of x is also λx. Similarly, the mean of y is λy, and the variance of y is λy.
(b) The equation y = x + 8 indicates that the mean of y, y, is 8 greater than the mean of x, x.
The first moment of x is less than the first moment of y by 8, which can be expressed as:
λx < λy
This implies that the mean of y, λy, is 8 more than the mean of x, λx:
λy = λx + 8
(c) Variance of y will be : 0.4 * λy^2 + 16λy - 64 = 0.
The second moment of x is 60% of the second moment of y, which can be expressed as:
λx^2 = 0.6 * λy^2
We have three equations:
1. λy = λx + 8
2. λx = λy - 8
3. λx^2 = 0.6 * λy^2
Solving these equations simultaneously, we can find the values of λx and λy.
From equation (2):
(λy - 8)^2 = 0.6 * λy^2
Expanding and simplifying the equation:
λy^2 - 16λy + 64 = 0.6 * λy^2
Rearranging and simplifying further:
0.4 * λy^2 + 16λy - 64 = 0
We can solve this quadratic equation to find the value of λy. Once we have λy, we can directly calculate the variance of y as λy.
To know more about variance refer here:
https://brainly.com/question/31432390?#
#SPJ11
Sales tax on a shirt is 0.07 times the cost of the shirt. The sales tax for a shirt is $1.26. Which equation could you use to find the cost, c, of the shirt before sales tax? A. 0.07 · c = 1.26 B. 0.07 · 1.26 = c C. 0.07 ÷ 1.26 = c D. 0.07 ÷ c = 1.26
Answer:
Option A: 0.07c = 1.26 is the correct answer
Step-by-step explanation:
Given that the price of shirt is denoted by c.
Given that the sales tax is 0.07 times of the cost of shirt.
Mathematically it can be written as:
\(Sales\ tax=0.07c\)
Now it is also given in the statement that the sales tax is $1.26
Putting this value in the above equation
\(1.26 = 0.07c\)
As we have to find the cost, dividing both sides by 0.07
\(\frac{1.26}{0.07} = \frac{0.07x}{0.07}\\c = \frac{1.26}{0.07}\)
Hence, we saw that the intermediate equation was: 1.26 = 0.07c
So,
Option A: 0.07c = 1.26 is the correct answer
Answer: A. 0.07 · c = 1.26
Step-by-step explanation:
Sales tax (0.07) x cost (c) = price (1.26)
There are 12 boys and 12 girls in Ms. Mooney’s homeroom class. Ms. Mooney will randomly pick 1 student to take attendance today.
Which statement explains how to find the probability that Sara, a student from Ms. Mooney’s homeroom class, will be the student picked?
PLEASE HELP
Answer:
There is a \(\frac{1}{24}\) chance that Sara will be picked.
There is a 4.16% chance that Sara will be picked.
Step-by-step explanation:
there are 12 boys + 12 girls in Mooney's class => 24 total students
Sara is ONE out of those students
Sara is \(\frac{1}{24}\).
\(\frac{1}{24}\) as a percent is 4.16%.
Rewrite the following polynomial in standard form.
-6x^2+1+7x
Answer:
-6x² + 7x + 1
.
An electrician charges an initial fee of $35 for attending a house call. Thereafter, he charges $15 for every hour spent on the job. The equation for this is represented = 35 + 15, where $Y represents the charges the house owner has to pay and is the number of hours the electrician spends on the job: (a) , find the amount of money the house owner needs to pay if he spends (i) 1 hour (ii) 2 hours (iii) 3 hours (iv) 4 hours on the job very urgent
Answer:
1 hour=35+15=50
2 hours=35+15(2)=65
3 hours=35+15(3)=80
4 hours=35+15(4)=95
Step-by-step explanation:
Suppose a brand has the following CDIs and BDIs in two
segments:
Segment1 : CDI = 125, BDI = 95
Segment2 : CDI = 85, BDI = 110
Which segment appears more interesting for the brand to invest in
as far as it growth is appeared ?
Based on the given CDI and BDI values, investing in Segment 2 would be more advantageous for the brand.
Brand X's growth can be determined by analysing CDI (Category Development Index) and BDI (Brand Development Index) in two segments, Segment 1 and Segment 2.
Segment 1 has a CDI of 125 and a BDI of 95, while Segment 2 has a CDI of 85 and a BDI of 110. Based on the CDI and BDI values, Segment 2 appears to be a more favourable investment opportunity for the brand because the BDI is higher than the CDI.
CDI is an index that compares the percentage of a company's sales in a specific market area to the percentage of the country's population in the same market area. It provides insights into the market penetration of the brand in relation to the overall population.
BDI, on the other hand, compares the percentage of a company's sales in a given market area to the percentage of the product category's sales in that same market area. It indicates the brand's performance relative to the product category within a specific market.
A higher BDI suggests that the product category is performing well in the market area, indicating a higher growth potential for the brand. Conversely, a higher CDI indicates that the brand already has a strong presence in the market area, implying limited room for further growth.
Therefore, The higher BDI suggests a stronger potential for growth in this market compared to Segment 1, where the CDI is higher than the BDI. By focusing on Segment 2, the brand can tap into the market's growth potential and expand its market share effectively.
Learn more about CDI and BDIs
https://brainly.com/question/33115284
#SPJ11
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
The values of x in the given equation, (x-7)^2=36, are x = 13 and x = 1. The correct options are the first and second options - x = 13 and x = 1
Quadratic equation: Calculating the value of xFrom the question, we are to determine the values of x in the given equation. The given equation is:
(x-7)^2=36
To solve the equation (x-7)^2=36, we can take the square root of both sides and solve for x:
(x-7)^2 = 36
Taking the square root of both sides:
x - 7 = ±6
Adding 7 to both sides:
x = 7 ± 6
So we get two possible values of x:
x = 7 + 6 or x = 7 - 6
x = 13 or x = 1
Hence, the correct values of x are:
x = 13
x = 1
Learn more on Calculating the value of x here: https://brainly.com/question/24334139
#SPJ1
A change in a certain population is expressed by the following
Differential Equation.
dP/dt = 0.8P(1-P/5600)
a) At what value of P does the population increase?
b) At what value of P does the population decrease?
c) What is the population at the highest rate of population growth?
If a change in a certain population is expressed then there is no specific population value at which the highest rate of growth occurs based on the given differential equation.
A differential equation is a mathematical equation that relates an unknown function to its derivatives. It involves one or more derivatives of the unknown function with respect to one or more independent variables.
a) The population increases when 0 < P < 5600.
b) The population decreases when P < 0 or P > 5600.
c) To find the population at the highest rate of growth, we need to find the maximum of the function dP/dt = 0.8P(1 - P/5600). Setting the derivative equal to zero, we have 0.8 - 0.8P/5600 + 0.8P/5600 = 0. Simplifying further, we find 0.8 = 0, which has no solutions.
Hence, there is no specific population value at which the highest rate of growth occurs based on the given differential equation.
To learn more about “differential equations” refer to the https://brainly.com/question/1164377
#SPJ11
a worker in a silver mine descends 71 feet. Use an integer to represent the change in the workers position.
Answer:
iuyhgt
Step-by-step explanation:
Please help!!!!
Solve the following equation for m:
m/3=6
Answer:
\( \frac{m}{3} = 6 \\ m = 6 \times 3 \\ = 18\)
Answer:
m=18
Step-by-step explanation:
Multiply the 3 on both sides of the equation
find all of the zeros of p(x)= x^3+2x^2-16, given that -2-2i is a zero.(if there is more than one zero, separate them with commas.)
find all of the zeros of p(x)= x^3+2x^2-16, given that -2-2i is a zero.
we have that
If (2-2i) is a zero
that means
(2+2i) is a zero too by the Conjugate Zeros Theorem
using a graphing tool
the third zeros of the function is a real number
x=2
therefore
the zeros of the function are2,(2+2i),(2-2i)(2x³+11x²+16x+6)/(2x+3)=?
Answer:
\(x^2+4x+2\)
Step-by-step explanation:
\(\frac{2x^3+11x^2+16x+6}{2x+3}\\\\Factorize \: :\\2x^3+11x^2+16x+6 : \:\left(2x+3\right)\left(x^2+4x+2\right) \\\\=\frac{\left(2x+3\right)\left(x^2+4x+2\right)}{2x+3}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2x+3\\\\=x^2+4x+2\)
I hope it helps .
how many tenths are equal to 3/5
Answer:
8
Step-by-step explanation:
3/5 ×2=8/10
..............
Consider the scatter plot.
what type of association does it show?
drag a word or phrase into the box to correctly complete the sentence.
the scatter plot shows (no) association.
correct answers: no
The scatter plot in the instance demonstrates a negative association.
What is a scatter plot?The values for two different numerical variables are represented by dots in a scatter plot (also known as a scatter chart or scatter graph).
Each dot's location on the horizontal and vertical axes represents a data point's values.
To view relationships between variables, utilize scatter plots.
So, we say there is a positive correlation between the variables when the y variable tends to rise when the x variable rises.
We say there is a negative correlation between the variables when the y variable tends to decline as the x variable rises.
The scatter plot's points appear to form a line that runs downward from left to right.
It follows that the relationship between the x- and y-coordinates is inverse.
Therefore, the scatter plot in the instance demonstrates a negative association.
Know more about scatter plots here:
https://brainly.com/question/6592115
#SPJ4
Kevin open to saving account with $1400 that pays no interest he deposit additional $170 each week write a recursive formula to show how much money Kevin has in his account n weeks after opening the account
Answer:
Amount in account of Kevin after \(n\) weeks is equal to \(\$(1400+170n)\)
Step-by-step explanation:
Initial amount in the savings account \(=\$1400\)
Amount deposited each week by Kevin \(=\$170\)
Amount deposited by Kevin in \(n\) weeks \(=\$170n\)
Therefore,
Amount in account of Kevin after \(n\) weeks \(=\) Initial amount in the savings account \(+\) Amount deposited by Kevin in \(n\) weeks
\(=\$(1400+170n)\)
. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
green. What part of Osteen's marbles are red?
A. 5/16
B. 9/16
C. 1/2
D. 2/3
Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
If you have 2 litres of white paint and plenty of other colours, can you make 55 litres of pale purple paint?
severe difficulty in making mathematical calculations as a result of a brain disorder
Dyscalculia is a learning disorder that affects a person’s ability to do the math.
A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.
The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.
Know more about Dyscalculia
https://brainly.com/question/29454867
#SPJ4
Which are equivalent to −6(b+2)+8 chose all that apply
−6b+2+8
−6b−4
None of the above
Jenna owes the bank $2,300 which accumulates interest at 6% compounded quarterly
from April 1, 2016, to January 1, 2019,. After January 1, 2019, the debt is compounded semi- annually at a rate of 10%. What is the accumulated value of the debt owed January 1, 2021?
Amya received a scholarship for $250. She spent 1/5 the money on textbooks and 1/4 of the remainder on other school supplies. How much money does she have left?
Answer:
$150
Step-by-step explanation:
You do $250 divided by 1/5 which is 50 (you basically divide by the denominator if the fraction). Then, you subtract 50 from that which is 200. After, you take that 200 and divided that by 1/4 which is 50 (you basically divide by the denominator if the fraction). Last you subtract 50 from that and then there you have it you final answer is
$150
What is the slope of a line passing through (-10, 1) and (-6, -1)?
Answer:
Step-by-step explanation:
\(Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-1}{-6-[-10]}=\dfrac{-2}{-6+10}\\\\\\=\dfrac{-2}{4}\\\\\\=\dfrac{-1}{2}\)
Whats the área and circumference of a circle if the radius is 6in?
Answer:
C≈37.7in
Step-by-step explanation:
Answer:
Hello!
Area: 113.04
Circumference: 37.68
Hope this helps
22. The fare for a cab is $3.50 per trip plus $1.25 per
mile. Which describes the cab fare in dollars as a
function of miles traveled?
Ff(x)=3.5x+1.25
G f(x)=3.5x+ 0.125
(H) f(x)= 1.25x + 3.5
f(x)=1.25x + 0.35
what is the molecular formula for this compound
Answer:
4 C3 H6 ........................
In the diagram, △ABC ~ △DEF. What is AC?
The image is of two similar right triangles ABC and DEF with right angles at B and E respectively. First one smaller in size and its base is 3. Base, altitude and hypotenuse of second one are 6, 8 and 10 respectively.
A. 4
B. 7.5
C. 5
D. 3
Answer:5
Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.
I had the same question on my homework.