Answer:
Step-by-step explanation:
The international company has 21,800 employees in one country, which represents 32.2% of the company's total employees. We can use this information to find the total number of employees by solving for the missing value.
Let's call the total number of employees in the company "X".
If the 21,800 employees in one country represent 32.2% of the total employees, we can write an equation to represent this relationship:
0.322 * X = 21,800
Next, we'll isolate X by dividing both sides of the equation by 0.322:
X = 21,800 / 0.322
Using a calculator, we can find that:
X = 68,062.5
Rounding to the nearest whole number, the company has 68,063 employees in total.
So, that's how you can use a percentage to find the total number of employees in the company. By knowing the number of employees in one country and the percentage that this represents of the total, we can find the total number of employees in the company.
Evaluate the limit limx approches 0 x square+ x over x
Step-by-step explanation:
If we use direct substitution, we will get
[tex] \frac{0}{0} [/tex]
Which is intermediate from so we must use.algebraic manipulation
Let's divide everything by x
We would get
[tex] \frac{x + 1}{1} [/tex]
So the limit as x approaches 0 is
[tex]1[/tex]
Proof using a graph:
As x gets close and closer to 0, f(x) approaches 1. Limits does not care about discontinuity, only what the function gets closer to.
Johnny has 3 spring jackets, 2 winter jackets, and 7 running jackets, what is the total number of jackets that Johnny owns?
Answer:
12
Step-by-step explanation:
3+2+7=12
Hope this helps! Please give brainliest!
Choose each correct coordinate for the vertices of ΔA'B'C'.
Answer:
Step-by-step explanation:
ΔABC transformed by 5/2 to A'B'C':
A' = -10, 15
B' = -15, 10
C' = 5, -5
PLEASE HELP!!
i think it wants it in the form of
m = y2-y1
——————
x2-x1
but i could be wrong please please please help if you can it’s greatly appreciated
a) Two different ways.
x = ln(32)/ln(2)
2^x = 2^5
b) Only the natural logarithm way can be used.
c) x = 3.58
How to solve the equation?We want to solve:
2^x = 32
in two ways.
The first way is trivial, apply the natural logarithm to both sides:
ln(2^x) = ln(32)
x = ln(32)/ln(2)
The second way is the next one:
2^x = 32
The right number can be written as:
4*8 = 32
Now we can factorize the left side:
4*8 = (2*2)*(2*2*2) = 2^5
Replacing that we get:
2^x = 2^5
So we know that x = 5.
b) The second way can't be used to solve:
2^x = 12
Because 12 has a factor different than 2.
c) Using the natural logarithm way:
x = ln(12)/ln(2) = 3.58
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look at the image below
It's due in 1 hour help Asap
I am giving away 18 points and Will mark brainiest to the correct answer
Answer:
For -- (1.) 38 / 1 ( apples and baskets)
It is 304 apples distributed evenly among 8 baskets.
For -- (3.) 42 / 1 (apples and baskets)
It is 294 apples distributed evenly among 7 baskets.
Step-by-step explanation:
For the 2nd one, I don't see an answer relating to it. Are there more options when you scroll down?
I hope the other 2 answers helped.
Raul tried to evaluate an expression step by step. \qquad\begin{aligned} &3 -(-5) - 7\\\\ \\ =&3+5-7&\green{\text{Step } 1}\\\\ \\ =&3+2&\blue{\text{Step } 2}\\\\ \\ =&5&\purple{\text{Step } 3} \\\\ \end{aligned} = = = 3−(−5)−7 3+5−7 3+2 5 Step 1 Step 2 Step 3
Raul made a mistake in evaluating the expression 3 - (-5) - 7 in B) Step 2 by not following PEMDAS.
What is PEMDAS?PEMDAS means Parentheses, Exponents, Multiplication and Division, Addition and Subtraction from left to right.
PEMDAS refers to the correct order for evaluating mathematical expressions.
The expression 3 - (-5) - 7 should be evaluated as follows:
3 - (-5) - 7
= 3 + 5 - 7
= 8 - 7
= 1
Thus, if Raul did not make a mistake in Step 2, he would have valued the expression as 1.
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Complete Question:Raul tried to evaluate an expression step by step.
3 - (-5) - 7
Step 1: 3 + 5 - 7
Step 2: 3 + 2
Step 3: 5
Find Raul's mistake.
Answer Options:A) Step 1
B) Step 2
C) Step 3
D) Raul did not make a mistake.
The figure shows a pair of eyeglasses. The lengths RS and TU of the lenses are equal.
From transitive property of equality, RT = SU.
Given:
RS = TU
What is Segment addition postulate ?
The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC
Since , from Segment addition postulate
ST = ST
What is addition property of equality ?
The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation. if a-b=c,then a−b+b=c+b, or a=c+b. The same goes with the subtraction property of equality.
Now , by addition property of equality
SU = ST + TU
Similarly,
RT = RS + ST
Now , Using transitive property of equality,
RT = SU
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Aaron launches a toy rocket from a platform. The graph below shows the height of the
rocket h in feet after t seconds. Find the interval for which the rocket's height is
increasing.
Height (in feet)
240
220
200
1800
160
140
120
100
80
60
40
20
(0, 180)
(1, 196)
(4.5, 0)
The interval for which the rocket's height is increasing is 0 to 1 second.
What does the graph show?The graph shows the way a toy rocket changes its height once it is launched. In general, it can be seen the height increases for some seconds and then the height decreases.
How to calculate the interval?To calculate the interval let's find out the second or minute at which the rocket loses height.
0 - 1 second (from this moment the rocket loses height)
Based on this, it can be concluded the interval is 0-1 seconds.
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Spring 2023
- Homework
<
Question 13, 2.4.29
Part 2 of 2
mexample
What is the area of Desert 1?
3,000,000 square miles
What is the area of Desert 2?
The area of a certain desert (Desert 1) is three times the area of another desert (Desert 2). If the sum of their areas is 4,000,000
square miles, find the area of each desert.
Get more help.
Amber McLain
HW Score: 47.92%, 11.5 of 24
points
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Desert 2 will be 4,000,000 square miles and Desert 1 will be 12,000,000 square miles.
How to calculate the dimensionsThe area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
Desert 1 = 3x
Desert 2 = x.
Total area = 16,000,000
x + 3x = 16000000
4x = 16,000,000
Divide
x = 16000000 / 4
x = 40000000
Desert 2 = 4,000,000 square miles
Desert 1 = 12,000,000 square miles.
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The circle graph describes the distribution of preferred music from a sample of 400 randomly selected middle school students.
a circle graph titled preferred music, with five sections labeled rock 13 percent, hip hop 25 percent, pop 35 percent, classical 13 percent, and jazz 14 percent
Which of the following conclusions can we draw from the circle graph?
Hip Hop is the preferred music for 25 students.
Together, Pop and Jazz are the preferred music for over half the students.
Classical is the preferred music for 52 students.
Together, Rock and Hip Hop are the preferred music for 172 students.
The correct conclusion from the given percentage of students of different categories is option(c): Classical is the preferred music for 52 students.
What is meant by percentage?
A figure or ratio stated as a fraction of 100 is called a percentage. It is frequently indicated by the percent sign, "%."
Given,
Total number of middle school students = 400
Percent of students who prefer rock = 13%
Percent of students who prefer hip hop = 25%
Percent of students who prefer pop = 35%
Percent of students who prefer classical = 13%
Percent of students who prefer jazz = 14%
Now we can find the number of students for each category.
Number of students who prefer rock = 13/100 * 400 = 52
Number of students who prefer hip hop = 0.25 * 400 = 100
Number of students who prefer pop = 0.35 * 400 = 140
Number of students who prefer classical = 0.13 * 400 = 52
Number of students who prefer jazz = 0.14 * 400 = 56
We can now look at different options.
a) This is false as hip-hop is preferred by 100 students.
b) Together Pop and jazz are preferred by 140+56 = 196, which is not more than half (200) of students. So this is false.
c) This is true as classical is preferred by 52 students.
d) Together rock and hip hop are preferred by 52+100 = 152, which is not equal to 172. So this is false.
Therefore the correct conclusion from the given percentage of students of different categories is option(c).
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Answer: c
Step-by-step explanation:
I did the test and it’s right
The time between arrivals of customers at a bank during the noon-to-1 p.m. hour has a uniform distribution between 0 to 120 seconds. What is the probability that the time between the arrival of two customers will be
a. less than 20 seconds?
b. between 10 and 30 seconds?
c. more than 35 seconds?
d. What are the mean and standard deviation of the time between arrivals?
Answer:
Step-by-step explanation:
Here's a step-by-step solution to finding the probabilities of the time between customer arrivals:
a. less than 20 seconds:
To find the probability that the time between arrivals is less than 20 seconds, we need to find the cumulative distribution function (CDF) of the time between arrivals and evaluate it at 20 seconds. The CDF for a uniform distribution is given by:
F(x) = x/b - a/b, where a is the lower bound and b is the upper bound of the distribution
For this problem, the lower bound a is 0 and the upper bound b is 120, so the CDF of the time between arrivals is:
F(x) = x/120
Now, we can evaluate the CDF at 20 seconds to find the probability that the time between arrivals is less than 20 seconds:
F(20) = 20/120 = 1/6
So, the probability that the time between arrivals is less than 20 seconds is 1/6.
b. between 10 and 30 seconds:
To find the probability that the time between arrivals is between 10 and 30 seconds, we need to find the difference between the CDFs at 30 seconds and 10 seconds:
F(30) - F(10) = 30/120 - 10/120 = 3/12 - 1/12 = 2/12 = 1/6
So, the probability that the time between arrivals is between 10 and 30 seconds is 1/6.
c. more than 35 seconds:
To find the probability that the time between arrivals is more than 35 seconds, we need to subtract the CDF at 35 seconds from 1:
1 - F(35) = 1 - 35/120 = 85/120 = 7/12
So, the probability that the time between arrivals is more than 35 seconds is 7/12.
d. Mean and standard deviation:
The mean of the time between arrivals is given by the average of the lower and upper bounds of the distribution:
mean = (a + b)/2 = (0 + 120)/2 = 60
The standard deviation of the time between arrivals for a uniform distribution is given by:
standard deviation = (b - a)/(2 * sqrt(3))
For this problem, the standard deviation is:
standard deviation = (120 - 0)/(2 * sqrt(3)) = 60/sqrt(3) ≈ 34.64101615
So, the mean time between arrivals is 60 seconds and the standard deviation is approximately 34.64 seconds.
a. The less than 20 seconds 0.1667.
b. The between 10 and 30 seconds 0.1667.
c. The more than 35 seconds 0.7083.
d. The mean and standard deviation of the time between arrivals 34.64 seconds.
To solve the probability questions, to find the probability density function (PDF) of the uniform distribution for the time between customer arrivals. In a uniform distribution, the probability density is constant within the given range.
Given:
Time between arrivals follows a uniform distribution between 0 to 120 seconds.
a. Probability of time between arrivals being less than 20 seconds:
Since the probability density is constant within the given range, we can calculate the probability by dividing the time range of interest (20 seconds) by the total time range (120 seconds).
Probability = (Time of interest) / (Total time range) = 20 / 120 = 1/6 ≈ 0.1667
b. Probability of time between arrivals being between 10 and 30 seconds:
Similar to part (a), the probability for this interval can be found by dividing the time range of interest (30 - 10 = 20 seconds) by the total time range (120 seconds).
Probability = (Time of interest) / (Total time range) = 20 / 120 = 1/6 ≈ 0.1667
c. Probability of time between arrivals being more than 35 seconds:
In this case, we need to calculate the probability of the time between arrivals being in the range from 35 to 120 seconds (as it is more than 35 seconds).
Probability = (Time of interest) / (Total time range) = (120 - 35) / 120 = 85 / 120 ≈ 0.7083
d. Mean and standard deviation of the time between arrivals:
In a uniform distribution, the mean (μ) can be calculated as the average of the minimum and maximum values in the range.
Mean (μ) = (Minimum value + Maximum value) / 2 = (0 + 120) / 2 = 60 seconds
The standard deviation (σ) for a uniform distribution can be calculated using the formula:
Standard deviation (σ) = (Maximum value - Minimum value) / √12
Standard deviation (σ) = (120 - 0) / √12 ≈ 34.64 seconds
So, the mean time between arrivals is 60 seconds, and the standard deviation is approximately 34.64 seconds.
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The rectangle is framed find the area of shaded region if the frame is 2 unit wide
The area of the shaded region is 20 square units for the given rectangle frame.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Dimensions of the inside rectangle, are as follows:
Length L₁ = 5 units
Width W₁ = 3 units
Since the frame is 2 units wide,
So, the dimensions of the outside rectangle, are as follows:
Length L₂ = 5 + 2 = 7 units
Width W₂ = 3 + 2 = 5 units
The area of the shaded region = area of the outside rectangle - area of the inside rectangle
The area of the shaded region = L₂ x W₂ - L₁ x W₁
The area of the shaded region = 7 x 5 - 5 x 3
The area of the shaded region = 35 - 15
The area of the shaded region = 20 square units
Thus, the area of the shaded region is 20 square units.
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The question seems incomplete, the missing figure is attached below.
what mistake did he make help!!
Answer: the correct choice is b
Step-by-step explanation:
Describe the transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4
A:The graph is vertically stretched by a factor of 1/3 and shifts up 4 units.
B:The graph is vertically stretched by a factor of 1/3 and shifts down 4 units.
C:The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.
D:The graph is horizontally compressed by a factor of 1/3 and shifts down 4 units.
The transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4 will be C. The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.
How to explain the transformationThe parent function f(x) = sin(x) has been transformed by replacing x with 3x in the argument of the sine function.
This results in a horizontal compression of the graph by a factor of 1/3. In addition, the graph of g(x) = sin(3x) is shifted upward 4 units, as indicated by the subtraction of 4 from the value of the sine function.
The correct option is C.
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Please help me ASAP THANKS
Answer:
i think its 1 or 3 or 5 if not what i moslty think it is is (((( 4 )))
Step-by-step explanation:
i hope this helps may luck be with YOU! :)
Solve the quadratic equation by the square root method and write the solutions in radical form. Simplify the solutions.
(3x+20)2=125
Answer:
Step-by-step explanation:
To solve the equation (3x + 20)^2 = 125 using the square root method, we start by taking the square root of both sides:
√[(3x + 20)^2] = √125
3x + 20 = ± 5
Next, we subtract 20 from both sides:
3x = -20 ± 5
Finally, we divide both sides by 3:
x = -8 or x = 3/3
So, the two solutions to the equation (3x + 20)^2 = 125 are x = -8 and x = 1. These solutions are in radical form and are already simplified.
K
In 1999 there were 60 million people worldwide who had been infected with a particular disease. At that time the infection rate was 3.5 million people per year.
(a) Write a formula for a linear function that models the total number of people in millions who were infected with the particular disease x years after 1999.
(b) Estimate the number of people who may have been infected by the year 2013.
f(x) = ax + b, where a and b are real values, is the formula for a linear function. In this instance, a denotes the line's gradient, and b denotes the y-axis intercept (which is sometimes called the vertical intercept).
What is linear function?A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. Any function that depicts a straight line on the coordinate plane is said to be linear. For instance, the equation y = 3x – 2 indicates a straight line on a coordinate plane, indicating that it is a linear function. This function can be expressed as f(x) = 3x - 2 since f(x) can take the place of y. Look for a steady rate of change to determine whether a table of values depicts a linear function. You are viewing a linear function if there is one!To learn more about linear function, refer to:
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HELPP ASAP
suppose
Find the value
Answer:
C, I did the math
hope this helps
What’s the correct answer answer asap for brainlist
The explanation 3 is the path that tells us that the interlopers would have to come between the men in the story.
What is the summary of the passage?The summary here is that the men are faced with a face off. That is they were to fight themselves till they killed themselves.
But while they were to fight they are met with the interloper which is a more ferocious danger that they are facing.
This tells us that they both have more on their plate at the moment.
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A researcher establishes that a patient reaction time R in minutes to a dose of particular drug is R(d)=d3+3d2-8where d is the amount of drug in milliliters that absorbed in the patients blood. find the patients reaction time when d=3
On solving the provided question, we can say that quadratic equation is 46.
What is quadratic equation?A quadratic equation is x ax² +bx +c = 0, which is a quadratic polynοmial in a single variable. a 0. The Fundamental Theοrem of Algebra ensures that it has at least οne solution since this polynomial is of second οrder. Solutions may be simple or cοmplicated.
An equation that is quadratic is a quadratic equatiοn. This indicates that it has at least οne word that has to be squared. The fοrmula "ax² + bx + c = 0" is one of the often used solutions for quadratic equatiοns. where are numerical cοefficients or constants a, b, and c. where the variable "X" is unidentified.
Quadratic equatiοn is
R(d) = d³ +3d² -8
R(3) = (3)³ +3(3)² - 8
R(3) = 27 + 27 - 8
R(3) = 46
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2
The absolute value function, f(x) = x + 21, is shown.
4
3-
Mark this and return
~
--5-4-3-2-11- 1 2 3 4 5
77774
6
-2+
-3
10
If the graph is reflected over the x-axis, what is the
domain of the function?
TIME REMAINING
37:46
O all real numbers
O all real numbers greater than or equal to 0
Oall real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Save and Exit
Next
Submit
The correct option regarding the domain of the reflected absolute value function is given as follows:
All real numbers.
How to obtain the domain of a function?The domain of a function is the set that contains all possible input values for the function.
The absolute value function is defined for all real numbers, and the reflection does not change the domain, hence the domain is all real numbers.
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pleas help me ill give you brainliest
Answer:
This is a Right Triangle because the last angle is 90 degrees.
Rick was given 2 new gaming consoles for his birthday, one from each set of grandparents. He wants to return one of the consoles and use the store credit to buy new video games. He will receive $299 in store credit, and each video game costs $60. You can use a function to describe the amount of store credit he will have left after purchasing x video games. Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x. f(x)=
don't spam ;-;
The linear function for the amount of store credit he will have left after purchasing x video games is given as follows:
f(x) = 299 - 60x.
How to obtain alinear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
b = 299, which is the initial credit that he has.m = -60, as for each videogame purchased, the amount of credit decays by $60.Hence the function is given as follows:
f(x) = 299 - 60x.
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Select the correct answer. What is the value of x in the equation 1,331x3 − 216 = 0? A. B. C. D.
Answer: x=0.545455
Step-by-step explanation:
add 216 to both sides
divided both sides by 1331
take cube root
Tony saved enough money to afford a car. He needs to determine if he can afford the car insurance. Tony earns $160 per week. Tony’s yearly pay is $8,320 and his monthly pay is $693.
Tony's monthly car insurance will be 1/30 of his rounded yearly pay. Can he afford it? Explain why or why not.
Tony can afford the car insurance, and he has enough money( $426.33 ) left over each month to cover other expenses.
To determine if Tony can afford the car insurance
We need to calculate the cost of the insurance and compare it to his monthly pay.
According to the information given,
Tony's yearly pay is $8,320
and his monthly pay is $693.
If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.
Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.
Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.
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The world population is 2000 was approximately 6.08 billion (6,080,000,000). The annual rate of increase is 1.26%.
a. What is the world population in 2010?
b. What is the population in 2023?
Answer:
6.89 billion for year 2010
7.15 billion for year 2023
Step-by-step explanation:
f(x) = [tex]a(1 + r) ^{x}[/tex]
f(x) = [tex]6.08(1+ .0126)^{10}[/tex]
f(x) = 6.89 Rounded to 2 places
f(x) = [tex]6.08(1+ .0126)^{13}[/tex]
f(x) = 7.15 Rounded to 2 places
If you toss 9 fair coins, in how many ways can you obtain at least two tails?
("At least two" is the complement of "zero or one.")
There are different ways of obtaining at least two tails.
(Type a whole number.)
There is 1 way to obtain at least two tails when you toss 9 fair coins.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
If you toss 9 fair coins, there are 2⁹ = 512 possible outcomes.
The number of ways to obtain zero or one tail is equal to the number of ways to obtain all heads or one head and the rest of tails, which is 2⁹ - 1 = 511.
Therefore, the number of ways to obtain at least two tails is the complement of the number of ways to obtain zero or one tail, which is 512 - 511 = 1.
Therefore, there is 1 way to obtain at least two tails when you toss 9 fair coins.
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nellie is analyzing a quadratic function f(x) and a linear function g(x). will they intersect?
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
Yes, It intersect at positive x-coordinates.
What is Equation of line?The equation of line in point-slope form which passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, Slope (m) = (y₂ - y₁) / (x₂ - x₁)
Given that;
The function f (x) is defined in graph.
Now, The function g (x) is defined as,
⇒ y - 5 = (10 - 5) / (2 - 1) (x - 1)
⇒ y - 5 = 5 (x - 1)
⇒ y - 5 = 5x - 5
⇒ y = 5x
Clearly, By the graph of functions f (x) and g (x), both intersect at positive x - coordinate.
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Brigitte deposits $1000 in a savings account that earns 1.3% compound interest. Which function models the total amount of money Brigitte has over time, t ?
The formula for compound interest is:
A = P(1 + r/n)^nt
where:
A is the total amount of money after t years,
P is the initial principal or deposit amount (in this case $1000),
r is the annual interest rate as a decimal (in this case 1.3% or 0.013),
n is the number of times interest is compounded per year (in this case, let's assume it's compounded annually), and
t is the number of years.
So, the function modeling the total amount of money Brigitte has over time, t, would be:
A = $1000(1 + 0.013)^t
This function shows how the amount of money in the savings account will increase as time goes on due to compound interest.
the equation of a curve is given by
y=x^3/3+7x^2/2+10x+d, where d is a
constant. Find the possible values of d
when the x-axis is tangent to the curve
v=x^3/3+7x^2/2+10x+d.
Answer: The x-axis is tangent to the curve when the value of y is equal to 0. So, to find the possible values of d when the x-axis is tangent to the curve, we need to solve the equation:
x^3/3 + 7x^2/2 + 10x + d = 0
To solve this equation, we need to use a method such as the cubic formula or a numerical method such as Newton-Raphson. However, it is not possible to determine a general solution for d without additional information, such as the value of x at which the tangency occurs. The possible values of d will depend on the specific value of x that satisfies the equation.
Step-by-step explanation:
