Answer:
Step-by-step explanation:
Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent.
SHOW THE WORK PLEASE
Answer:
$12,645
Step-by-step explanation:
The computation of the interest earned is shown below:
= 4,000 × (1.02)^(6 ×12)
= $16,644.5615
Now the interest earned is
= $16,644.5615 - $4,000
= $12,645
How do you write f(x)=|x-7| as a piece wise function
Answer:
f(x) = { x+9 x ≥ − 9
-x -9 x < -9
Let's say my car (I DON"T HAVE ONE) holds 17 gallons of gas right now it has 6 gallons. Can you explain how to find the amount of gas I need in liters, to fill the gas tank with the conversion factions 4 quarts in a 1 gallon and .94 liters in 1 quart
Fill the blank:
I need about _____ liters of gas to fill my tank
Answer:
41.6 (rounded to nearest tenth)
Answer:
I need about 41 liters of gas to fill my tank
Step-by-step explanation:
Full tank: 17 gallons
Amount of gas in tank now: 6 gallons
Amount needed to fill tank: 17 gallons - 6 gallons = 11 gallons
The amount needed to fill the tank is 11 gallons.
Now we convert 11 gallons to liters.
We use conversion fractions, first from gallons to quarts, then from quarts to liters.
11 gallons * (4 quarts)/(1 gallon) * (0.94 liter)/(1 quart) = 41.36 liters
The sum of 3 times the value of x and 2 is equal to four less than five times the value of x. Which equation can be used to find the value of x
The question has omitted options but i will solve, so you will just check my answer from the options you have.
Answer: The equation to find the value of x = 3x+ 2= 5x-4
The value of x= 3
Step-by-step explanation:
Step 1
The sum of 3 times the value of x and 2 is equal to four less than five times the value of x can be expressed as
3x+ 2= 5x-4
Step 2
Solving this equation to find the value of x , we have that
3x+ 2= 5x-4
3x-5x= -4-2
-2x= -6
x= -6/-2
x=3
When assessing skinfold thickness for 5 consecutive times, the investigator is getting responses very close to each other. This is a sign that the measurements are:
If an investigator is getting responses very close to each other when assessing skinfold thickness 5 consecutive times, it is a sign that the measurements are precise or reliable.
Measurements refer to the process of quantifying physical quantities or properties such as length, mass, time, temperature, and more. The aim of measurements is to obtain accurate and reliable data that can be used for various purposes, such as scientific research, industrial applications, engineering, and construction.
Measurement involves comparing an unknown quantity with a known standard or unit of measurement. For example, length can be measured using a ruler, mass can be measured using a scale, and time can be measured using a clock. The units of measurement used can vary depending on the system of measurement used, such as the metric system or the imperial system.
To learn more about Measurements visit here:
brainly.com/question/2107310
#SPJ4
x / 6 equals 12 / 15
There are 370 identical plastic chips numbered 11 through 370 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 201?
The probability of reaching into the box and randomly drawing a chip number that is smaller than 201 is 190/359.
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. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
The favourable choices are 11,12............200
Total number of favourable outcomes= 190
Total number of total outcomes =359
Probability = Total number of favourable outcomes/ Total number of total outcome
=190/359
For more information about probability, visit
https://brainly.com/question/251701
#SPJ4
7h=-(2h-18)7h=−(2h−18) Solve for h
Answer:
h=2
Step-by-step explanation:
7h=−(2h−18)
Distribute the minus sign
7h = -2h +18
Add 2h to each side
7h +2h = -2h+2h +18
9h = 18
Divide each side by 9
9h/9 =18/9
h =2
Answer:
h = 2
I got it right on Kahn Academy
x+10=2x-4 what does x=
Answer:
x = 14
Step-by-step explanation:
x + 10 = 2x - 4
x + 10 - 10 = 2x - 4 - 10
x = 2x - 14
x - 2x = 2x - 2x - 14
- x = - 14
- x ÷ - 1 = - 14 ÷ - 1
x = 14
Need help fast!!! And with all the other problems
Based on the properties of rectangles, the angles and the side lengths are KN = 11 and NLK = 32
How to determine the angles and the side lengthFrom the question, we have the following parameters that can be used in our computation:
JN = 2x + 7, LN = 6x - 1
NKJ = 58 degrees
The diagonals or a rectangle are equal
So, we have
2x + 7 = 6x - 1
Evaluate the like terms
4x = 8
Divide
x = 2
So, we have
KN = 2 * 2 + 7
KN = 11
Adjacent angles in this case add up to 90 degrees
This gives
NLK = 90 - 58
Evaluate
NLK = 32
Hence, the measure of the angle is 32 degrees
Read more about rectangle at
https://brainly.com/question/25292087
#SPJ1
An S corporation is generally set up to: a. implement an expansion strategy b. attract capital c. reduce tax burdens d. easy entry into an industry e. take advantage of limited liability
Implementing an expansion strategy, attracting capital, lowering tax obligations, facilitating entry into a business, and utilizing limited liability are all options are correct.
In most cases, a corporation is set up to benefit from restricted liability. This indicates that the shareholders, who are the corporation's owners, are not personally liable for the debts and liabilities of the business. The additional reasons you have provided for forming a corporation are also viable possibilities, but they are not its main objective. Establishing a corporation might be one approach to carry out an expansion strategy, which is a company's plan for growth and expansion.
know more about corporation here
https://brainly.com/question/29734988#
#SPJ4
Is the given point interior, exterior, or on the circle (x 2)2 (y - 3)2 = 81? p(8, 4) click on the graphic to choose the correct answer.
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
To learn about circle from the given link
https://brainly.com/question/2166803
#SPJ4
Uh can anybody help with thi
Answer: She can buy 35 apples, if she only buys apples
Step-by-step explanation: Divide $10 by $0.28 and you get 35.7, don’t round up because she won’t have enough money to pay for the last apple
hope this helps :)
Answer:
$9.8 for 35 apples.
Step-by-step explanation:
I know this because she is spending $9.86 on oranges on apples she would spend $9.8 on apples therefor she bought 35 apples.
Which graph is it? I need the geniuses of this platform to help me.
2. Mako has $150 in her savings account. $150 is $12.50 more than twice the
amount Sam has in his savings account. How much does Sam have in his savings
account? *
Answer: $220.35
Step-by-step explanation:
A mega-pack of markers contains red markers, black markers, and blue markers. There are 24 red markers in the pack. The probability of randomly choosing a red marker is 1 in 3. If the probability of randomly choosing a blue marker is 1 in 8, how many blue markers are in the pack?
Will mark brainlist
Answer:
Number of blue markers = 9
Step-by-step explanation:
Given that there are 24 red markers.
Probability of randomly choosing a red marker is 1 in 3.
Probability of an event E is given as:
\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)
That means the ratio of red markers to total markers is 1:3.
Here number of favorable cases are 24 i.e. the number of red markers
and Total number of cases are equal to total number of markers.
Let T be the total number of markers.
As per definition of probability:
\(\dfrac{1}{3}=\dfrac{24}{T}\\\Rightarrow \bold{T = 72}\)
Also, given that the probability of choosing a blue marker is 1 in 8.
Let the number of blue markers be B.
As per definition of probability:
\(\dfrac{1}{8}=\dfrac{B}{72}\\\Rightarrow \bold{B = 9}\)
Hence, the answer is:
Number of blue markers = 9
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
Which statement is true?
Answer:
B is the correct answer
Step-by-step explanation:
I've tried geometric, alternating, and lagrange error bound i need help thank you
The Lagrange error bound is a method for estimating the error in approximating a function using a polynomial
Let's say you have a function f(x) and you want to approximate it using a polynomial of degree n, denoted by Pn(x). The Lagrange error bound states that the absolute error between f(x) and Pn(x) is bounded by:
|f(x) - Pn(x)| ≤ M/[(n+1)!] |x - c|^(n+1)
where M is a bound on the (n+1)th derivative of f(x) on an interval containing x and c is some constant value in that interval (typically the midpoint of the interval). Note that the bound depends on the choice of x and c.
In practice, the Lagrange error bound can be used to estimate the error in polynomial approximations. You can choose a value of x and a degree n for the polynomial, then use the bound to find an upper bound on the absolute error. If the error is too large, you may need to increase the degree of the polynomial or choose a different value of x.
Learn more about Lagrange error bound here
brainly.com/question/30758051
#SPJ4
The given question is complete, the complete question is:
What is Lagrange error bound ?
Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c = 0.98, o = 7.6, and E = 2 Assume that a preliminary sample has at least 30 members. n= (Round up to the nearest whole number.)
The minimum sample size needed to estimate u for the given values of c, o, and E is `39`.
Given that the level of confidence is `c = 0.98`, the margin of error is `E = 2`, and the standard deviation is `σ = 7.6`.The formula to find the minimum sample size is: `n = (Zc/2σ/E)²`.Here, `Zc/2` is the critical value of the standard normal distribution at `c = 0.98` level of confidence, which can be found using a standard normal table or calculator.Using a standard normal calculator, we have: `Zc/2 ≈ 2.33`.
Substituting the values in the formula, we get:n = `(2.33×7.6/2)²/(2)² ≈ 38.98`.Since the sample size should be a whole number, we round up to get the minimum sample size as `n = 39`.
Therefore, the minimum sample size needed to estimate u for the given values of c, o, and E is `39`.
Know more about sample size here,
https://brainly.com/question/31734526
#SPJ11
Plz Help, Will give brainliest
Step-by-step explanation:
By AAS congruence, triangles RNM and RNP are congruent. Hence 7x = 2x + 25, x = 5.
Line RM = 7x = 7(5) = 35 units.
Inequ
What is the solution to the inequality -3.x + 7 > 1?
Х
DONE
Answer: x < 2
-3x + 7 > 1
<=> -3x > - 6
<=> x < -6/-3
<=> x < 2
Step-by-step explanation:
A certain insect can beat its wings 240 times per second. Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the insect beats its wings.
Answer:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope (rate of change) and b is the y-intercept (where the line crosses the y-axis).
In this case, the number of times the insect beats its wings is the dependent variable (y) and the flying time in seconds is the independent variable (x). We know that the insect beats its wings 240 times per second, so the slope of the equation is 240.
To find the y-intercept, we need to know the number of times the insect beats its wings when it has flown for 0 seconds. Since the insect starts beating its wings immediately, the y-intercept is 0.
So the equation in slope-intercept form is:
y = 240x + 0
This equation represents the relationship between flying time in seconds (x) and the number of times the insect beats its wings (y).
Also, it is important to note that, the slope (240) is the rate of change of the number of times the insect beats its wings per second.
Step-by-step explanation:
Explain about Huckel Approximation ( the introduction to the method including secular equation and determinant, theory that could be used to evaluate or assumptions, characteristic such as all overlap integrals are set equal to zero etc , the matrix formulation of the huckel method and mustification of the formula).
int \( a[4]=\{1,2,3,4\} \) int \( { }^{*} p=a \); What is the value of \( *(p+3) ? \)
The value of the expression is 4.
The code :
int a[4] = {1, 2, 3, 4};
int *p = a;
what is *(p + 3)?
The variable a is an array of integers, and the variable p is a pointer to the first element of the array.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
Here is a breakdown of the code:
int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.
int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.
what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
To learn more about expression here:
https://brainly.com/question/28170201
#SPJ4
Correct Question :
Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?
Glven that g(x) = 4x + 6, find the value of x that makes glx) = 14. (5 points)
A) -50
B) -5
C)2
D) 8
Answer:
C) 2
Step-by-step explanation:
14 = 4x + 6
14 - 6 = 4x
8 = 4x
8/4 = x
2 = x
Subtract.x2+3xy−4y26x−3y−x2+xy−2y25x+3yx2+3xy−4y26x−3y−x2+xy−2y25x+3y=(Simplify your answer. Type your answer in factored form.)
The factored form is 2y(x - y) - 11x.
What is factored form?Factored form of a polynomial is when the polynomial is written as a product of its factors. Each factor is either a polynomial or a number. Factored form is useful for identifying the zeros of a polynomial and for solving polynomial equations.
To simplify the given expression, we need to combine like terms and factor if possible.
First, let's combine the like terms:
x^2 + 3xy - 4y^2 - 6x + 3y - x^2 - xy + 2y^2 - 5x - 3y
= 2xy - 2y^2 - 11x
Next, let's see if we can factor the expression:
2xy - 2y^2 - 11x
= 2y(x - y) - 11x
Since we cannot factor any further, the simplified expression in factored form is:
2y(x - y) - 11x
To know more about factored form click on below link:
https://brainly.com/question/29065045#
#SPJ11
integral of dx/(e^x+e^-x)
given tanhu
Answer:
= arctan( e^x)+c
Step-by-step explanation:
∫1/e^x+e^-x × dx
Apply u - substitution
=∫1/u²+1 du
Use the common integral: =∫1/u²+1 du
= arctan(u)
Substitute back u =e^x
=arctan(e^x)
Add a constant to the solution
= arctan( e^x)+c
please show the work, i’ll mark as brainliest
Answer:
hope it helps you
mark me as brainliest
y=4x2x-5y=44 whats the answer
The required values of x and y are after solving the given equations are,
x= -22/9
y = -88/9
What is Equation?There are various ways to define an equation. A mathematical statement that demonstrates the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the equation 3x + 5 = 14 comprises the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
We have the first equation,
y = 4x
substitute this value in 2 nd equation for variable y
2x - 5y = 44
2x - 5 (4x) = 44
2x - 20x = 44
-18x = 44
x = -22/9
By now we know this much :
y = 4x
x = 22/9
In order to determine y, use the value of x.
y = 4(-22/9) = -88/9
Hence,
The values of x and y are,
x= -22/9
y = -88/9
Learn more about equation, visit:
https://brainly.com/question/29657992
#SPJ1