Answer:
Inequality Form:
x < - 4
Interval Notation:
( − ∞ , − 4 )
Step-by-step explanation:
HELP LeShana loaned Deena $480. Deena paid the money back with a simple interest of 5% at the end of 2 years. How much money did Deena pay back?
Answer:
FV= $528
Step-by-step explanation:
Giving the following information:
Loan (P)= $480
Number of years (n)= 2 years
Simple interest (i)= 5% per year
To calculate the amount of money that Deena paid is calculated using the following formula:
FV= P*r*t + P
FV= 480*0.05*2 + 480
FV= $528
does anybody know the answer?
Answer:
y+48=90
y= 90-48
y= 42
Step-by-step explanation:
ok
by using the property
sum of two opposite interior angles of triangle is equal to exterior angle
PLEASE HELP due in a few hours!!
Answer:
75 meters²
Step-by-step explanation:
4 cm= 5 m
12 cm= 15 m
15×5=75
Area of Patio=75 m²
Tong loaned Jody $50 for a month. He charged 5% simple interest for the month. How much did Jody have to pay Tong?
Answer:
$50(1.05) = $52.50
Jody had to pay $52.50 to Tong for the month.
Determine the approximate length of the segment AD *
Answer:
35/6
Step-by-step explanation:
The right angle triangle ABC which has another triangle BCD, the length of segment AD is, 9.73 cm
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
Two triangle,
ΔABC and ΔBCD
Side lengths are ,
AC = 19cm
BC = 8cm
DC = 11cm
AC² = AB² + BC²
19² = AB² + 8²
AB = 17.23
Another ΔBCD
11² = DB² + 8²
DB = 7.5
The length of AD = AB - DB
= 17.23 - 7.5
= 9.73
Hence, the length of the segment is 9.73 cm
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Given y[n] = 3" u[n] - 1.5 8[n-1] = A) B) C) What is Y[z]? Draw the graph 3u[n] and 1.58 [n-1]. Simplify y[n] by first solving Y[z]. Use inverse Z for simplification.
The Z-transform of the given sequence y[n] = 3u[n] - 1.5 8[n-1] is Y[z] = (3z)/(z-1) - (1.5z)/(z-1). To simplify y[n], we need to find the inverse Z-transform of Y[z].
The Z-transform is a useful tool for analyzing discrete-time signals and systems. In this case, we are given the sequence y[n] = 3u[n] - 1.5 8[n-1], where u[n] is the unit step function and 8[n-1] represents the delayed unit impulse function.
To find the Z-transform of y[n], we can use the linearity property of the Z-transform. Since the Z-transform of u[n] is 1/(1-z^(-1)), and the Z-transform of 8[n-1] is z^(-1), we can substitute these values into the expression for y[n] to obtain:
Y[z] = 3(1/(1-z^(-1))) - 1.5(z^(-1))/(1-z^(-1))
To simplify Y[z], we need to combine the terms with a common denominator. By finding a common denominator of (1-z^(-1)), we can rewrite Y[z] as:
Y[z] = (3z - 1.5)/(z-1)
Now, to obtain y[n], we need to find the inverse Z-transform of Y[z]. The inverse Z-transform can be computed using techniques such as partial fraction expansion or by referring to Z-transform tables.
The simplified expression for y[n] would be:
y[n] = 3δ[n] - 1.5δ[n-1]
where δ[n] represents the discrete-time unit impulse function. The graph of y[n] would have an impulse of magnitude 3 at n = 0 and an impulse of magnitude -1.5 at n = 1.
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Nelson LLC, has earnings before interest and taxes of €10,350 and net income of €2,528.50. The tax rate is 25%. What is the interest coverage ratio (times interest earned)?
A) 0.62
B) 0.96
C) 1.04
D) 1.48
The interest coverage ratio (times interest earned) for Nelson LLC is approximately 1.04, option C.
The interest coverage ratio is calculated by dividing earnings before interest and taxes (EBIT) by the interest expense. EBIT represents the operating income of the company before deducting interest and taxes.
Given the values:
EBIT = €10,350
Net Income = €2,528.50
Tax Rate = 25%
To calculate the interest expense, we subtract the net income from the EBIT and multiply it by (1 - tax rate):
Interest Expense = (EBIT - Net Income) × (1 - Tax Rate)
= (€10,350 - €2,528.50) × (1 - 0.25)
= €7,821.50 × 0.75
= €5,866.12
Now, we can calculate the interest coverage ratio by dividing EBIT by the interest expense:
Interest Coverage Ratio = EBIT / Interest Expense
= €10,350 / €5,866.12
≈ 1.04
Therefore, the interest coverage ratio for Nelson LLC is approximately 1.04, indicating that the company's earnings before interest and taxes are 1.04 times greater than its interest expense.
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25% of what number is 65?
Porter read 20% of the Star Wars book. He read 8 pages of the book. Write the number of pages in the Star Wars book
Answer: 40 pages in total
Explanation: Porter has read 20% of the book and this translates to 8 pages of the book.
20% = 8 pages
Assume the total number of pages is x:
20% * x = 8
0.2x = 8
x = 8 / 0.2
x = 40 pages in total
Answer:
40 pages in the book
Step-by-step explanation:
8/40 = .20
PLEASE HELP! I need this asap
Answer:
5.17
Step-by-step explanation:
just at 10 pecent
Answer:
I think that the third one is the correct answer , $4.94 i mean .
(t+8)^3
i want you to solve this
[tex]( {t + 8})^{3} = {t}^{3} + 3 \times ({t})^{2} \times( 8) + 3 \times (t) \times ( {8})^{2} + {8}^{3} \\ [/tex]
So :
[tex] ({t + 8})^{3} = {t}^{3} + 24 {t}^{2} + 192t + 512[/tex]
The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance
Answer:
There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Step-by-step explanation:
Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78
Using calculator :
Sample mean, xbar = 79.06
Sample standard deviation = 9.85
Sample size, n = 17
H0 : μ = 77
H1 : μ > 77
The test statistic : (xbar - μ) ÷ (s / sqrt(n))
(79.06 - 77) ÷ (9.85 / sqrt(17))
2.06 ÷ (9.85 / sqrt(17))
= 0.8623
The Pvalue from Tscore :
Pvalue = 0.20063
Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Select the 2 moves necessary in the sequence of transformations that produced polygon A from polygon E. *
What is the probability that either event will occur?
5
A
B
35 5, 10
P(A or B)=P(A) + P(B) - P(A and B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Answer:
P(A or B) = 1 - P(neither A nor B)
= 1 - 5/55 = 1 - 1/11 = 10/11
= about .91 = about 90.91%
Answer:
Step-by-step explanation:
Help please me thanks
Answer:
option 1:a+12
Step-by-step explanation:
add 12 to a
$475 20 for 6 years at 6-% $787 for 3 years at 9% $131 70 for 6 yrs 8 months at 4-%. find the simple interest
The simple interest for each scenario is 1. $171, 2. $212.13, and 3. $35.15.
To calculate the simple interest for each scenario, we can use the formula: Interest = Principal × Rate × Time.
1. For $475 at 6% interest for 6 years:
Principal = $475, Rate = 6%, Time = 6 years.
Interest = 475 × 0.06 × 6 = $171.
2. For $787 at 9% interest for 3 years:
Principal = $787, Rate = 9%, Time = 3 years.
Interest = 787 × 0.09 × 3 = $212.13 (rounded to two decimal places).
3. For $131.70 at 4% interest for 6 years and 8 months (or 6.67 years):
Principal = $131.70, Rate = 4%, Time = 6.67 years.
Interest = 131.70 × 0.04 × 6.67 = $35.15 (rounded to two decimal places).
Therefore, the simple interest for each scenario is:
1. $171
2. $212.13
3. $35.15
What does "simple interest" mean?
Simple interest is a method for figuring out how much interest was paid on an amount of money during a specific time period at a specific rate. Simple interest has a fixed principle amount. Simple interest is a clear-cut and simple method for computing financial interest.
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The correct question would be as
Find the simple interest of each scenario:
1. Principal = $475, Rate = 6%, Time = 6 years.
2. Principal = $787, Rate = 9%, Time = 3 years
3. Principal = $131.70, Rate = 4%, Time = 6.67 years (6 years and 8 months)
Help please fast and don’t say files
A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at
random from telephone listings. Of these, 68 return the questionnaire. The population being studied is:
A. The set of all local businesses
B. The 68 businesses who returned surveys
C. The 150 businesses who were sent surveys
D. All the students at the college
The proportion of businesses who did not respond = 54.67%
Given : Total businesses = 150
Businesses responded = 68
Businesses did not respond = 150- 68 = 82
The proportion of businesses who did not respond =
82/150 x 100
54.67%
8[x-y] use x=5 and y=2
Answer:
24
Step-by-step explanation:
Plugin the value of x and y
8[x + y] = 8*[5 - 2]
= 8 *3
= 24
Answer:
24
Step-by-step explanation:
8(5-2)
5-2=3
8 times 3=24
plz can i get brainliest:)
A storage chest is shown. What is the volume in cubic feet?
Find the largest possible constant r ∈ (0, 1) such that the function f : [0, r] → [0, r] defined by f(x) = x^2 is a (strict) contraction.
The largest possible constant r ∈ (0, 1) such that the function f : [0, r] → [0, r] defined by f(x) = x^2 is a strict contraction is r = 1/2.
To prove this, we need to show that there exists a positive constant k < 1 such that |f(x) - f(y)| ≤ k|x - y| for all x, y ∈ [0, r] with x ≠ y.
Let x, y ∈ [0, r] with x ≠ y. Then, we have:
|f(x) - f(y)| = |x^2 - y^2| = |(x - y)(x + y)| ≤ |x - y|(r + r) = 2r|x - y|
Therefore, if we choose k = 2r < 1, then |f(x) - f(y)| ≤ k|x - y| for all x, y ∈ [0, r] with x ≠ y.
Now, we need to find the largest possible constant r such that k < 1. We have k = 2r < 1, so r < 1/2.
Thus, the largest possible constant r ∈ (0, 1) such that f(x) = x^2 is a strict contraction is r = 1/2.
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Please help! I'm not sure how to do these.
Answer:
i dont know bro
Step-by-step explanation:
please help me with this one
Answer:
A: 112 cubic inches
Step-by-step explanation:
A = l*w*h/3 = (6*8*7)/3
A = 336/3
A board game has a spinner divided into sections of equal size(10). Each section is labeled a number between 1-5. Which number is a reasonable estimate of the number of spins on a section labeled 5 over the course of 150 spins?
A(15)
B(25)
C(40)
D(60)
What type of function will fit these data points?
Linear
Quadratic
Exponential
None of the above
Answer: quadratic
Step-by-step explanation:
I guess if you can search up a picture of each function, you will be able to understand it. A linear graph is linear (as its name suggests), as a result, it never "goes back" to the value that has showed up. For example, the linear function y=3x+2. If you plug in a random value of y (let's say 10), then solve for x, you will only get 1 value of x. The data table that you have indicates that the y value of 0 has appeared twice. Thus, the function cannot be linear. The same thing applies to an exponential function. A quadratic function, however, can have to x values that result in the same y value. For example, the function y = [tex]x^2[/tex]-1. When you set y equal to zero....
0 = [tex]x^2[/tex]-1
0 = (x+1)(x-1)
x = -1 or 1.
Hope this helps :)
From a horizontal distance of 80.0m the angle of elevation to the top of the flagpole is 18 degrees calculate the height of the flagpole
Answer:
The figure is omitted--please sketch it.
Set your calculator to Degree mode.
tan(18°) = h/80
h = 80tan(18°) = about 25.994 feet
The height of the flagpole is about 25.994 meters (about 26 meters).
Please find the next fraction in this sequence. No files please
PLEASE HELPP !!! it’s due today
Answer:
18
Step-by-step explanation:
PLEASE HELP URGENT!! DONT LINK FILES!!! HELP!!
The face of triangular-shaped guitar has an area of 52 square inches and the height of 13 inches. What is the length
of the guitar?
Answer:
Base = 8
Step-by-step explanation:
Area of a triangle can be calculated as:
Area = 0.5 x Base x Height
The values of the area and the height are given in order to find the length.
A= 52 in^2
Height= 13
First we have to find the base or the length. Using the values above we can set up the equation as:
1. 52= (0.5)(13)(b)
2. 52/0.5(13)
3. b=8
Answer: The length of the guitar or the base would be 8 inches.
I hope this helps and for future problems regarding this topic use the formula above!!
Formula: 0.5 x Base x Height
Which value of t makes the two matrices inverses of each other?
Answer:
C) 2
Step-by-step explanation:
I got it right on Edge 2021
The reason is that you can see that on the first matrix a and d are the same number, meaning that a and d on the second matrix need to be the same as well. Brainliest please :)
Ignore grammar and spelling mistakes
Answer: 2
Step-by-step explanation: