Its times interest earned ratio is = 3.89
What is Interest Earned Ratio?
Based on current income, the times interest earned (TIE) ratio assesses a company's capacity to service its debt. Earnings before interest and taxes (EBIT) divided by the total amount of bond and other debt interest payable is the calculation for a company's TIE number.
Times interest earned ratio formula = Income before interest and taxes / interest expenses
What is Income?
Income is the spending and saving opportunity acquired by an entity during a given time period, which is usually stated in monetary terms. Income is difficult to describe theoretically, as definitions vary across sectors.
= 525000 / 135000
= 3.89
Its ratio of times interest earned is 3.89.
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alva nunez is a punch press operator for drummond machine company she earns $0.95 for every holding she presses. what is here total pay for a week in whoch she presses 310 modlings
Alva nunez total pay for the week in which she presses 310 moldings is
$294.5What is unit price?The cost per unit of an item is represented by the unit price.
To determine the unit price of an item, we divide the price of a specific number of units by the number of units.
How to find the total payIf she earns $0.95 for every holding she presses this means that the unit price is 0.95
for 310 moldings Alva nunez will earn
= 0.95 * 310
= 294.5
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two fair number cubes are rolled. the table below shows the possible outcomes for each number cube and their sum.
Two fair cubes are rolled.
The total number of possible outcomes is 36.
These 36 possible outcomes are shown in the given figure.
We are asked to find the theoretical probability of rolling two numbers with a sum of 11.
Recall that theoretical probability is given by
\(P=\frac{number\;of\;desired\;outcomes}{total\;number\;of\;possible\;outcomes}\)The desired outcome is the sum of 11 which occurs exactly 2 times.
The total number of possible outcomes is 36.
So, the probability is
\(P(sum\;of\;11)=\frac{2}{36}=\frac{1}{18}\)Therefore, the theoretical probability of rolling two numbers with a sum of 11 is 1/18
a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite. the geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis. (a) what is the pmf of the number of granite specimens selected for analysis? (round your probabilities to four decimal places.) x 9 correct: your answer is correct. 10 correct: your answer is correct. 11 correct: your answer is correct. 12 correct: your answer is correct. 13 correct: your answer is correct. 14 correct: your answer is correct. p(x) 0.0974 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.0974 incorrect: your answer is incorrect. (b) what is the probability that all specimens of one of the two types of rock are selected for analysis? (round your answer to four decimal places.) 0.0974 incorrect: your answer is incorrect. (c) what is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (round your answer to four decimal places.)
The standard deviation is 1.0319
x values between 10.4681 and 12.5319 are respectively ( 11 , 12 )
The probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value is 0.6740
How to solve thisWe are given that: a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite.
Thus total rocks = N = 14 +14 = 28
The geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis.
Thus sample size = n = 23
Part a) What is the pmf of the number of granite specimens selected for analysis?
x = the number of granite specimens selected
Thus M = Number of granite specimens = 14
Thus x can have the following values:
x n-x = 23-x
9 14
10 13
11 12
12 11
13 10
14 9
We can select a minimum 9 granite specimens, so that total becomes 9 granite specimens + 14 basaltic rock = 23
and maximum 14 granite specimens, so that total becomes 14 granite specimens + 9 basaltic rock = 23
Here x = the number of granite specimens selected follows Hypergeometric distribution with parameters N = 28 ,M=14 , n = 23 .
P(X=9) =0.02037
Similarly, we find all next probabilities:
x P(x)
9 0.0204
10 0.1426
11 0.3370
12 0.3370
13 0.1426
14 0.0204
Part b) What is the probability that all specimens of one of the two types of rock are selected for analysis?
the probability that all specimens of one of the two types of rock are selected
That is:
P( All 14 are granite specimens and rest 9 are basaltic rock OR All 14 are basaltic rock and rest 9 are granite specimens)=......?
That is:
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =......?
From above table in part a) , we have:
P( 14 granite specimens) = 0.0204 , that means
P(14 granite specimens , 9 basaltic rock) = 0.0204
and
P( 9 granite specimens)=0.0204
That is:
P( 14 basaltic rock , 9 granite specimens) = 0.0204
Thus
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =0.0204 + 0.0204
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) = 0.0408
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A.answer the following:
1.what is the common ratio of the following G.P.
a.4,3,9/4..... c.-10,-2,-2/5,-2/27
b.1,-6,36...... d.0.03,0.3,3...
2.find the missing term 120,60,30,__ , __
3.given the G.P.5,10,20......what is the 10th term?
Answer:
30
Step-by-step explanation:
took test
Write the conjunction of the following two statement Tois summer It is showing
It is summer but it is snowing.
y + 2x = -1
y = 1/2x + 4
Answer:
x = -1
y = 3
Step-by-step explanation:
y + 2x = -1
y = 1/2x + 4
(1/2x + 4) + 2x = -1
1/2x + 2x + 4 = -1
2 1/2x + 4 = -1
2 1/2x = -1 - 4
2 1/2x = -5
x = -5 / 2 1/2
x = -2
y + 2x = -1
y + 2(-2) = -1
y - 4 = -1
y = -1 + 4
y = 3
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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find the value of 4th terms by using 3n-2
Answer:
Step-by-step explanation:
\(4^{th} term \ means \ n = 4\\\\3n - 2 = 3 \times 4 - 2 = 12 -2 = 10\)
Write as the opposite of a square root. -3√5
The value of -3√5 as the opposite of the square root is -75.
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root.
Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
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need an answer quick, will give the first right answer brainliest, i need a step by step explanation please
Answer: Imma say C
Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
7 yd
3 yd
2 yd
4 yd
10 yd
3 yd
yd
7yd
62 square yards is the area of the figure.
What is Area?Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape
In the given figure there are three rectangle in that two are smaller rectangles squares.
The rectangle has length of 10 yd and width of 5 yd.
Area of rectangle (Large)=10×5
=50 square yds
The side length of smaller rectangle is 3 yards and width is 2 yd
Area of rectangle (small)=3×2
6 square yds.
As there are two smaller rectangles, then area will be 2(6)=12 yards.
Now total area = 50+12
=62 square yards.
Hence, the area of the figure is 62 square yards.
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Please please help me
Answer:
2a squared - 4a
Step-by-step explanation:
12 a^2 - 3a - 10a^2 - a
12 - 10 = 2
-3 - 1 = -4
2a^2 - 4 a
Find the missing angle. Round your answer to the nearest degree.
13 in
df
.pdf
18 in
sl.pdf
real
X =
degrees
Step-by-step explanation:
\( \tan( x ) = \frac{13}{18} \\ x = arctan (\frac{13}{18} ) \\ x = {79}^{o} \)
a quadratic function is defined by f(x) = x*2 - 8x - 4.
Which expression also defines f and best reveals the max and mini of the function?
a) (x-4)*2 - 20
B) (x-4)*2 + 12
c) x(x-8) -4
d) (x-4)*2 + 20
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A
How to find the expressionThe vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.
In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:
\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)
From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).
The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is \((x - 4)^2 - 20.\)
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PLEASE IM LITERALLY SO CONFUSED
Options:
- does not
- does
Answer: does not
Step-by-step explanation: I think a linear equation is y=mx+b
Help thanks please number 7
Coach Kirby is forming dodgeball teams from students in her physical education class.
She wants teams that each have 6 students. There are fewer than 48 students in the class,
so Coach Kirby can't form as many full teams as she wants.
1)) Let x represent how many full teams Coach Kirby can form. Which inequality describes
the problem?
6x < 48
6x > 48
Solve the inequality. Then, complete the sentence to describe the solution.
1) Coach Kirby can form fewer than 8|
full teams.
Please hurry
Answer:
6x<48
Step-by-step explanation:
ik its this one because theres 48 players and 6 teams both are even numbers so if you did 48÷6x you would get 8 but theres fewer than 48 kids
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx = ______
dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.
To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.
Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
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The number of hours a student spent studying each week for 9 weeks is shown.
5, 8.5, 11, 13, 5.5, 9, 2, 4, 6.5
What is the value of the range for this set of data?
13
11
6
2
Answer: *11* is the correct answer.
Step-by-step explanation:
To find *range*, use the *formula*,
*Range= Highest value - Lowest value*
From the given data, we can see that, the *highest value* is *13* and *lowest value* is *2*. So, *13-2=11*.
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what is the radius of a circle whose equation is x2y28x6y210 2 units 3 units 4 units 5 units
The radius of the given circle is 2 units.
Here, we are given an equation of a circle as follows-
\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)
The general form of the equation of a circles is -
\((x- h)^{2}+ (y-k)^{2} = r^{2}\)
where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.
Let us convert the given equation into the general form by completing the squares as follows -
\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)
\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)
\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)
\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)
\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)
\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)
\((x+4)^{2} + (y - 3)^{2} = 4\)
\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)
Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.
Therefore, the radius of the given circle is 2 units.
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Round 8.96278650872 to the nearest millionth
Answer:
9????
Step-by-step explanation:
?????????????????
Find the following F distribution values from the F distribution table. (Round your answers to two decimal places.)
(a) F0.05 with degrees of freedom 6 and 15
(b) F0.025 with degrees of freedom 30 and 25
(c) F0.01 with degrees of freedom 8 and 12
(d) F0.10 with degrees of freedom 10 and 20
To find the F0.10 with degrees of freedom 10 and 20, first you need to locate the row with 10 degrees of freedom, then you need to find the column with 20 degrees of freedom. The intersection of these two values is 1.86.
(a) 2.45
(b) 2.75
(c) 2.82
(d) 1.86
(a) To find the F0.05 with degrees of freedom 6 and 15, first you need to locate the row with 6 degrees of freedom, then you need to find the column with 15 degrees of freedom. The intersection of these two values is 2.45.
(b) To find the F0.025 with degrees of freedom 30 and 25, first you need to locate the row with 30 degrees of freedom, then you need to find the column with 25 degrees of freedom. The intersection of these two values is 2.75.
(c) To find the F0.01 with degrees of freedom 8 and 12, first you need to locate the row with 8 degrees of freedom, then you need to find the column with 12 degrees of freedom. The intersection of these two values is 2.82.
(d) To find the F0.10 with degrees of freedom 10 and 20, first you need to locate the row with 10 degrees of freedom, then you need to find the column with 20 degrees of freedom. The intersection of these two values is 1.86.
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What is the domain of the exponential function?
\(y=2^{x}+6\)
The domain of the exponential function is all real numbers.
The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.
For the exponential function y = 2ˣ + 6, the domain includes all real numbers.
This is because there are no restrictions on the input values that can be plugged into the function.
We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.
Hence, the domain of the exponential function is all real numbers.
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List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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Pete's checking account showed a balance at the beginning of the month of $180. After 3 days the checking account showed a balance of $160. Write a linear equations to represent the total in the checking account f(x) according to the day x.
Answer:
180 - 172 =$8 8/3=2.56
Which number is irrational, and integer, and a real number A) -4/2 B) there is no such number
Answer:
Step-by-step explanation:
real number can be irrational or integer.
otherwise there is no number which can be irrational,integer and real (all together)
Answer: The answer is B) there is no such number.
Step-by-step explanation:
So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:
- irrational means not rational and cannot be represented by a simple fraction (like pi )
- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )
- and a real number means that it is not imaginary ( like 2i, \(\sqrt{-1}\) )
And our choices here are:
- -4/2
- there is no such number
Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.
Which expression is equivalent to
(5^-2) (5^-4)?
A. -1/125
B. -1/5
C. 1/125
D. 1/5
Answer:
umm none the above cuz 5^-2 = 1/25 and 5^-4 = 625, 625*25 = 15625 so 1/15625 bru
Step-by-step explanation:
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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