Answer:
B. Changes in the fair value of the investors ownership shares of the investee
Step-by-step explanation:
The fair value option is defined as the alternative for any business that helps them to record its financial instruments at their fair values.
The answer is : Changes in the fair-value of the investor's ownership in shares of the investee.
show that (f o g)(x) = (g o f)(x) = x
f(x)= [tex]\frac{3}{x-1}[/tex]
g(x)= [tex]\frac{2}{x}[/tex]
Answer:
[tex] - \frac{2[1 - x]}{3} = g[f(x)] \\ \\ \frac{3x}{2 - x} = f[g(x)][/tex]
Step-by-step explanation:
They are not.
For the g[f(x)] function, you substitute ³/ₓ ₋ ₁ from the f(x) function in for x in the g(x) function to get this:
[tex] \frac{2}{ \frac{3}{x - 1}} [/tex]
Then, you bring x - 1 to the top while changing the expression to its conjugate [same expressions with opposite symbols]:
[tex] - \frac{2[1 - x]}{3}[/tex]
You could also do this [attaching another negative would make that positive].
For the f[g(x)] function, ²/ₓ from the g(x) function for x in the f(x) function to get this:
[tex] \frac{3}{ \frac{2}{x} - 1}[/tex]
Now, if you look closely, ²/ₓ is written as 2x⁻¹, and according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:
[tex] \frac{3x}{2 - x} [/tex]
When this happens, x leaves the two and gets attached to the three, and 1 gets an x attached to it.
I am joyous to assist you anytime.
In terms of paying less in interest, which is more economical for a $150,000 mortgage: a 30-year fixed-rate at 8% or a 20-year fixed-rate at 7.5%? How much is saved in interest?
Answer:
20-year fixed-rate at 7.5%$106,219.32Step-by-step explanation:
The shorter the term, the lower the amount of interest.
The lower the interest rate, the lower the amount of interest.
The loan that has both a shorter term and a lower interest rate will cost less in interest.
___
The total of payments for the 30-year loan is 396,232.87.
The total of payments for the 20-year loan is 290,013.55.
The amount saved by taking the shorter loan is the difference of these amounts: $106,219.32.
_____
You can use an amortization formula, spreadsheet, or a financial calculator to compute the payments for each loan. The total repayment amount is the product of the monthly payment and the number of them, 360 for the 30-year loan; 240 for the 20-year loan.
First, rewrite 16//21 and 7/9 so that they have a common denominator.
(I'm so confused on how to do this, someone please help me out a bit)
Answer:
Step-by-step explanation:
The distance from Earth to the sun is about 9.3 × 107 miles. The distance from Earth to the Moon is about 2.4 × 105 miles. About how many times greater is the distance from Earth to the Sun than Earth to the Moon?
Answer:
The answer to your question is: 387.5 times distance from earth to the sun than distance from the earth to the moon
Step-by-step explanation:
Data
distance from earth to the sun = 9.3 x 10⁷ miles
distance from the earth to the moon = 2.4 x 10⁵ miles
distance ES to EM
Then we need to divide
distance from earth to the sun / distance from the earth to the moon
9.3 x 10⁷ miles / 2.4 x 10⁵ miles
= 387.5 times is greater.
The distance from Earth to the Sun is about 387.5 times greater than the distance from Earth to the Moon. This is calculated by dividing the distance from Earth to the Sun by the distance from Earth to the Moon.
Explanation:To determine how many times greater the distance from Earth to the Sun is than the distance from Earth to the Moon, we need to divide the distance from Earth to the Sun by the distance from Earth to the Moon. So, we have 9.3 × 107 miles (distance to the Sun) divided by 2.4 × 105 miles (distance to the Moon).
When you perform this calculation, you get a value of approximately 387.5. Therefore, the distance from Earth to the Sun is about 387.5 times greater than the distance from Earth to the Moon.
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Stuart's best golf score is 4 under par or -4. He wants to beat this score by an additional 3 strokes under par. With one hole remaining, stuart is 5 under par, or -5. What must his score be on the last hole to beat his best score
Answer:
-2
Step-by-step explanation:
he wants to get -7 because -4 + -3 = -7
he has -5 currently, so to get to -7 I added -2 which is the amount he needs.
I hope this helps you :)
Stuart requires a score of atleast - 2 on his last hole in other to beat his best score.
Best score = - 4
Required score < Best score + (-2)
Required score < - 4 + (-2)
Current score = - 5
Therefore, the least score required to beat his best score is - 7
Therefore, the required score on last hole will be :
-7 - (-5) = - 7 + 5 = - 2Therefore, a score of - 2 is required on last hole in other to beat his best score.
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Find two consecutive even integers whors sum is 86. Which of the following could be used to solve the problem?
Answer:
42 and 44
Step-by-step explanation:
The even numbers are numbers which can be written as 2n where n is any integer number.
Therefore, two consecutive numbers would be "2n" and "2n + 2"
We then have that
2n + (2n+2) = 86
4n + 2 = 86
4n = 84
n = 21
And the even number 2n is 2(21) = 42.
(We can verify this answer by doing 42 + 44 = 86)
I WILL GIVE BRAINLYIST!
Which graph shows a system of equations with exactly one solution?
Answer:
The last graph, where the functions intersect at only one point.
Step-by-step explanation:
A system of equations with only one solution is the one that in some point the solutions of each ecuation is exactly the same. In the graphs 1 and 3, where the equations does not intersect each other, the system of equations have no solution. In the second graph, the equations intersect 2 times, so the system of equations have 2 solutions.
Answer:
The last graph:/ D
Step-by-step explanation:
i got it right on the test
Correct answers only please! If you don't know the answer, then please don't guess or say what you think it is.
Mike recently increased the size of his truck tires from the original P215/60R16 to the larger P235/7016. If Mike didn't recalibrate his speedometer, how fast is really going on the new tires when his speedometer shows he is traveling 60 mph?
A. 54.2 mph
B. 63.8 mph
C. 66.4 mph
D. 69.7 mph
Final answer:
When Mike increased the size of his truck tires from the original P215/60R16 to the larger P235/70R16 without recalibrating his speedometer, the actual speed he was going on the new tires when his speedometer showed 60 mph was approximately 54.2 mph.
Explanation:
When Mike increased the size of his truck tires without recalibrating his speedometer, his speedometer reading would be inaccurate. To determine how fast he is going on the new tires when his speedometer shows 60 mph, we can use the concept of tire revolutions per mile.
The original tire size, P215/60R16, has a diameter of approximately 25.7 inches, while the larger tire size, P235/70R16, has a diameter of approximately 29.0 inches. The new tires cover a greater distance in one revolution compared to the original tires.
To calculate the actual speed, we can use the equation:
Actual Speed = Speedometer Reading * (Original Tire Diameter / New Tire Diameter)
Substituting the given values:
60 mph * (25.7 inches / 29.0 inches)
By simplifying this calculation, the actual speed is approximately 54.2 mph. Therefore, the correct answer is A. 54.2 mph.
Mike is actually traveling approximately 64.4 mph. Hence the correct option is c.
Calculate the difference in tire circumference:
Original circumference: 2 * π * radius = 2 * π * (215 mm / 25.4 mm/inch) * (60 + 30%) = 79.3 inches (assuming 30% aspect ratio)
New circumference: 2 * π * (235 mm / 25.4 mm/inch) * (70 + 30%) = 85.1 inches
Difference: 85.1 inches - 79.3 inches = 5.8 inches
Calculate the percentage increase in circumference:
(5.8 inches / 79.3 inches) * 100% = 7.3%
Apply the percentage increase to the speedometer reading:
Actual speed = Speedometer reading * (1 + % increase)
Actual speed = 60 mph * (1 + 7.3%) = 60 mph * 1.073
Actual speed ≈ 64.4 mph
Therefore, when the speedometer shows 60 mph, Mike is actually traveling approximately 64.4 mph. Hence the correct option is c.
Tony loves to put stickers on his papers. Tony has 15 shark stickers. Tony has 21 whale sticker. Tony has 47 dolphi Stickers. Tony has 40 papers. Tony puts a dolphine sticker on every paper. Tony puts a shark sticker on every fourth paper. Tony puts a whale sticker on every fifth paper. When tony finishes putting all the stickers on the papers, how many papers will all three kinds of stickers on them.
Answer:
2 papers
Step-by-step explanation:
shark stickers : 15
whale stickers : 21
dolphin stickers : 47
papers:40
papers with dolphin stickers: 47
papers with shark stickers: 4, 8 , 12, 16, 20,24,28,32,36, 40 (every fourth paper, multiples of 4 till 40)
40/4 = 10 papers with shark stickers
papers with whale stickers: 5, 10,15, 15, 20, 25,30,35,40 (multiples of 5 till 40)
Papers with the three kinds of stickers : 2 (paper 20 and 40 )
Answer:
2 papers
Step-by-step explanation:
Colton and gage were building a castle together. Colton was 3 times as fast at building the castle than gage. If it takes 80 blocks to build the castle, how many blocks did colton build on the castle?
Answer:
60
Step-by-step explanation:
For each 3 blocks Colton placed, Gage place 1, so Colton placed 3/4 of the total number blocks.
3/4 × 80 = 60
Colton placed 60 blocks on the castle.
Answer:
60
Step-by-step explanation:
Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay the loan on January 20. Assuming the loan is based on ordinary interest, Judy will pay back on January 20: ____________
Judy Clark will pay back $7,993.03 on January 20 for her loan of $7,800 at a 6.5% interest rate, with the interest being calculated for 140 days.
Explanation:To calculate the amount Judy Clark will repay for a loan of $7,800 borrowed from Reel Bank at an ordinary interest rate of 6.5%, we need to determine the amount of interest accumulated by the loan from September 2 to January 20. This involves calculating the time period for the loan, applying the ordinary interest formula, and then adding the interest to the principal amount to find the total repayment amount.
We first calculate the number of days between September 2 and January 20. Without knowing the year of the loan, we can use an approximate count and consider a non-leap year for this example, which would be 140 days (30 days for September after the 2nd, 31 for October, 30 for November, 31 for December, and 18 for January).
Using the formula I = PRT, where P is the principal ($7,800), R is the annual interest rate (0.065), and T is the time in years (140/365), we can calculate the interest:
I = 7,800 × 0.065 × (140/365) = $193.03 (rounded to two decimal places).
To find the total repayment amount, we add the interest to the principal: $7,800 + $193.03 = $7,993.03.
Therefore, Judy Clark will pay back $7,993.03 on January 20.
A cable service provider charges $40 per month for its basic package plus an additional $5.35 for each premium channel chosen. The average cost for cable per additional channel is given by the expression 5.35x + 40 / x, where x is the number of premium channels added to the basic package. What does the quotient 40/x represent?
Answer:
the answer will be d.PLATO users
You can buy 5 cans for green beans at the vilage market for $2.80 .You can buy 10 of the same cans of beans at sam club for $7.50.Which place is the better buy?
kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. at one dealer she would pay 2,500 down and 150 each month. at another dealer she would pay 3,000 down and 125 each month after how many months would the total amount paid be the same for both dealers? what would that amount be?
Answer:
20 months
Step-by-step explanation:
Let the number of months be denoted by x.
Then, we shall form two equations to represent the total cost from each dealer. Thus,
2500 + 150x is the cost of the motorcycle from the first dealer.
3000 + 125x is the cost of the motorcycle from the second dealer.
If the costs from the dealers are equal, then
2500 + 150x =3000 +125x
150x- 125x = 3000-2500
25x = 500
x = 500/ 25
x =20 months
What is X if X + R = S?
Answer:
The correct answer is the second option.
Step-by-step explanation:
If X + R = S, then X = S - R. You need to subtract each pair:
-2 - 0 = -2
-8 - 3 = -11
0 - (-4) = 4
2 - 5 = -3
Answer:
B
Step-by-step explanation:
Edge2020
Recall that the symbol z represents the complex conjugate of z. If z = a + bi, show that the statement is true. Z − z is a pure imaginary number. Use the definition of complex conjugates to simplify the expression.
Answer:
Step-by-step explanation:
z = a + bi
the complex conjugate is : Z = a-bi
so : Z-z = (a-bi) - ( a + bi ) = a-bi -a -bi
Z-z = -2bi ...is a pure imaginary number (the statement is true)
The statement is true, Z-z is a pure imaginary number = -2bi.
What is conjugate complex?
A conjugate of a complex number is another complex number which has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sign.
Here, given that, z = a+ib,
Let, Z be the complex conjugate of z, then, Z=a-ib
Now, Z-z = (a-ib)-(a+ib)
=a-ib-a-ib
=-i2b (which is purely imaginary)
Hence, proved. The given statement is true.
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A small toy car costs $3.A large toy car costs 5 times as much as the small one.Aaron wants to buy one of each.Which equation can he use to find the cost (a) of the two cars?
Answer:$18.00
Step-by-step explanation:5×3=15
$3+$15=$18
Answer:
Step-by-step explanation:
To
The lengths (in inches) of two sides of a regular triangle are given by the expressions 5x+40 and 8x-13. Find the length of a side of a triangle.
Answer:
Length = 128.3
Step-by-step explanation:
The 3 sides of a regular triangle are the same, the 2 sides that are in terms of x are equal:
5x + 40 = 8x - 13
40 + 13 = 8x - 5x
53 = 3x
17.7 = x
The length of a side = 5(17.7) + 40 = 128.3
A contestant on a game show is given $250 and is ask five questions the contestant loses $50 for every wrong answer determine the domain and range
Answer:
The domain is (all possible values of x) [tex]\{0,1,2,3,4,5\}[/tex]
The range is (all possible values of f(x)) [tex]\{250,200,150,100,50,0\}[/tex]
Step-by-step explanation:
A contestant on a game show is given $250. He is asked five questions and loses $50 for every wrong answer.
If he answer all 5 questions correct, then he will still have $250;If he answers 4 questions correct and 1 question incorrect, he will have $200; If he answers 3 questions correct and 2 questions incorrect, he will have $150; If he answers 2 questions correct and 3 questions incorrect, he will have $100; If he answers 1 question correct and 4 questions incorrect, he will have $50; If he answers 5 questions incorrect, he will have $0.Let x be the number of wrong answers. Then you get a relationship
[tex]\begin{array}{cc}x&f(x)\\ 0&250\\1&200\\2&150\\3&100\\4&50\\5&0\end{array}[/tex]
The domain is (all possible values of x) [tex]\{0,1,2,3,4,5\}[/tex]
The range is (all possible values of f(x)) [tex]\{250,200,150,100,50,0\}[/tex]
Answer:
down below(hope this helps
Step-by-step explanation:
How can factors help you find a common denominator
Explanation:
A "common denominator" is the least common multiple (LCM) of the denominators of the rational expressions involved. As such it can be found as the product of the unique factors of those denominators, each to its highest power.
For example, the common denominator for fractions with denominators of 20 and 25 will be 100. It can be found by considering the factors ...
20 = 2² × 5
25 = 5²
The unique factors here are 2 and 5, each with a highest power of 2. The product of these unique factors to their highest powers is ...
2²·5² = 4·25 = 100.
___
Using this method of finding the LCM, it is essential that we know the factors of the numbers.
The LCM can also be found as the product of the numbers, divided by their greatest common factor (GCF). For this method, too, you need to know factors of the numbers involved--or, at least, the greatest common factor.
For the above example numbers, the GCF is 5, so their LCM is ...
20·25/5 = 500/5 = 100
Factors can help you find a common denominator by revealing common multiples. By multiplying the denominators of the fractions together, you can often find a common multiple that can be used as a common denominator. Simplify the resulting fraction by canceling out any common factors.
Explanation:Finding a common denominator involves identifying a common multiple of the denominators of the fractions you are working with. Factors can help you find a common denominator by revealing common multiples. By multiplying the denominators of the fractions together, you can often find a common multiple that can be used as a common denominator. It's important to simplify the resulting fraction by canceling out any common factors.
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The first hill on a roller coaster is 155 feet tall. The first drop on a second roller coaster is about 11/20 as tall as the first coaster. Find the height of the hill on the second roller coaster
Answer:
85.25
Step-by-step explanation:
155 x (11/20) =85.25 feet
The volume of a rectangular prism is 655.2 Ft cubed. If the base of the prism is 9 ft by 5.2 ft, find the height of the prism.
Answer:
Step-by-step explanWe can easily calculate for the height of the prism since all needed measurements are given. Volume of a rectangular prism is expressed by the equation:
V = lwh
where l is the length, w is the width and h is the height of the prism.
655 = 9 (5.2) hation:
h=14ft
25 POINTS AND BRAINLIEST PLZ HELP!!!
Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
A. 5
B. 1/5
C. -1/5
D. −5
Answer:
Step-by-step explanation:
B is the answer
What is the multiplicative rate of change for the exponential function f(x) = f start bracket x end bracket equals two start bracket five-halves end bracket superscript negative x
Answer:
a) 0.4
Step-by-step explanation:
Got it right on quiz
The multiplicative rate of change for the exponential function is 5/2, indicating that the function increases by a factor of 5/2 for each unit increase in x.
The multiplicative rate of change for an exponential function
[tex]\( f(x) = a \times b^x \)[/tex]
is given by the base of the exponential term, b .
In the function
[tex]\( f(x) = 2 \left(\frac{5}{2}\right)^{-x} \),[/tex]
the base of the exponential term is 5/2.
So, the multiplicative rate of change is 5/2
find an equation of the line through (5,-9) and perpendicular to x=7
Answer:
y = - 9
Step-by-step explanation:
x = 7 is the equation of a vertical line parallel to the y- axis and passing through all points with an x- coordinate of 7
A line perpendicular to it is a horizontal line parallel to the x- axis with equation y = c
Where c is the value of the y- coordinates the line passes through.
The line passes through (5, - 9) with y- coordinate - 9, thus
equation of line is y = - 9
Which expression shows the sum of the polynomials with like terms grouped together? 10x2y + 2xy2 - 4x2 - 4x2y
A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2
B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)]
C. (-4x2) + 2xy2 + [10x2y + (-4x2y)]
D. [10x2y + 2xy2 + (-4x2y)] + (-4x2)
Answer:
The answer to your question is letter C
Step-by-step explanation:
A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2 : in this polynomial the first term is not a like term, then this is incorrect.
B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)] : in this polynomial, the terms that are grouped, are not like terms, then is incorrect.
C. (-4x2) + 2xy2 + [10x2y + (-4x2y)] ; This polynomial is the right answer because the like terms are grouped.
D. [10x2y + 2xy2 + (-4x2y)] + (-4x2): This polynomial is incorrect because one of the terms that are grouped is not a like term.
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11+4-3/4
Answer:
57/4
Step-by-step explanation:
Answer:
11 + 4 = 15
Rewrite the problem:
15-3/4= ?
15-3= 12
the divide it by 4:
12 / 4 = 3
ANSWER: 3
Step-by-step explanation:
Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. Interpret the slope of the equation.
Select the correct answer below:
The slope, 15, means that the cost for renting the car on a particular day increases by 15 dollars for every 15 miles she drives on that day.
The slope, 15, means that the cost for renting the car on a particular day increases by 15 dollars for each mile she drives on that day.
The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each mile she drives on that day.
The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each 0.32 of a mile she drives on that day.
Answer:
The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day.
Step-by-step explanation:
The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each mile she drives on that day.
Explanation:The slope of the equation C=0.32m+15 is 0.32. The slope represents the rate of change in the cost per day for each unit increase in the number of miles Janelle drives. In this case, for every additional mile Janelle drives, the cost of renting the car increases by 0.32 dollars.
To win the jackpot, 4 different numbers are randomly selected from 1 to 46 and one number from 1 to 22. The order of the first 4 numbers does not matter. What is the probability of winning the jackpot on one try?
Answer:
Probability of winning on one try : 1.16060875e-8
Step-by-step explanation:
For the first first 4 numbers.
Probability is 1/46 for the first number. Since the numbers are different, and it doesnt matter the order, the second number has a probability now of 1/45, the third has a probability of 1/44 and the last one a probability of 1/43.
Since the probability is dependan of the results of hitting the other number the probability of the first for numbers is the multiple of the 4 probabilities.
So it is 1/46 * 1/45 * 1/44 * 1/43 = 1 / 3916440
And that number is then multiplied by the probabilty of hitting the last number. 1/22
So the final probability is :
1/86161680 = 1.16060875e-8
Answer:
The probability of winning the jackpot on one try is 2.78 * 10^-7
Step-by-step explanation:
There are 46 balls in total (46-1)+1 = 46 . (b-a)+1 is the formula for number of elements between a and b included.
We need to find the number of combinations possible of 4 balls ( as order doesn't matter - 1234 is the sames as 2341) . So the number of possible combinations of 4 balls taken from 1 - 46 is given by
C= n!/(r!(n-r)!) where n is the number of possible balls = 46 and r the size of combination = 4 and ! is factorial ( ex 3! = 3*2*1) This gives for this case
C= n!/(r!(n-r)!) = 46!/(4!(46-4)!)= 163,185 combinations.
But as there is a fifth ball with (22-1)+1 = 22 posible options each combination must be multiplied by 22( for example 1234 22 is one but also 1234 10 is other)
163,185*22= 3,590,070 possibilities.
The probability of winning is 1 in 3,590,070 possibilities. or
p = 1/ 3,590,070= 2.78 * 10^-7
Please help I keep getting it wrong and I can't move on to the next part! You need to look at both pictures to answer this.
Explanation:
3. ∠2 and ∠3 are a linear pair → definition of a linear pair
4. ∠3 and ∠4 are a linear pair → definition of a linear pair
5. m∠2 +m∠3 = 180° → definition of a linear pair (or angle addition postulate)
6. m∠3 +m∠4 = 180° → definition of a linear pair (or angle addition postulate)
7. m∠2 +m∠3 = m∠3 +m∠4 → substitution property
8. m∠2 = m∠4 → subtraction property
9. ∠2 ≅ ∠4 → definition of congruent angles
_____
A pair of angles is a "linear pair" if they are adjacent and supplementary. ∠2 and ∠3 are adjacent and the non-common legs form a straight line. It isn't clear what your definition of linear pair is and what you need to do to claim that the angles sum to 180°. Above, we have assumed a definition of "linear pair" that includes the facts that → they sum to 180°; → non-adjacent sides form a straight line.