Answer:
Total periodic pension costs (TPPC) is equal to the contributions plus change in the pension liability during the year. Each period, the periodic pension cost is recognized in profit or loss (P&L) and/or in other comprehensive income (OCI).
56. How many tangent lines to the curve [tex]y=x /(x+1)[/tex] pass through the point (1,2)? At which points do these tangent lines touch the curve?
There are 2 tangent lines that pass through the point
[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]
and
[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]
Explanation:
Given:
[tex]y=\frac{x}{x+1}[/tex]
The point-slope form of the equation of a line tells us that the form of the tangent lines must be:
[tex]y=m(x-1)+2[/tex] [tex][1][/tex]
For the lines to be tangent to the curve, we must substitute the first derivative of the curve for [tex]m[/tex]:
[tex]\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\[/tex]
[tex]\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}[/tex]
[tex]\frac{dy}{dx}= \frac{1}{(x+1)^2}[/tex]
[tex]m=\frac{1}{(x+1)^2}[/tex] [tex][2][/tex]
Substitute equation [2] into equation [1]:
[tex]y=\frac{x-1}{(x+1)^2}+2[/tex] [tex][1.1][/tex]
Because the line must touch the curve, we may substitute [tex]y=\frac{x}{x+1}:[/tex]
[tex]\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2[/tex]
Solve for x:
[tex]x(x+1)=(x-1)+2(x+1)^2[/tex]
[tex]x^2+x=x-1+2x^2+4x+2[/tex]
[tex]x^2+4x+1[/tex]
[tex]x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}[/tex]
[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex]
[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex] [tex]and[/tex] [tex]x=-2-\sqrt{3}[/tex]
There are 2 tangent lines.
[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]
and
[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]
What number is halfway between
1.7 and 3.2 ?
Answer:
2.5
Step-by-step explanation:
i am not absolutely sure but according to me it is right
ANSWER:
2.45
Expalnation:
If you add/subtract 0.75 to the corrct side, you'll get 2.45.
3.2-2.45=0.75
2.45-1.7=0.75
Hence, this is the corrct answer.
The chart contains 5 red marbles, 11 yellow marbles, 7 blue, 10 green, and 5 brown
P(green)=
Answer:
5
19
Step-by-step explanation:
Is the correct answer to the probability
An athlete who participates in team sports tend
A. to have narrow concentration.
B. to be an extrovert.
C. to have more anxiety.
D. to be an introvert.
Answer:
Option B is the answer
am not really sure though
Rewrite the fraction as a decimal.
{57}{5}= 5 57
Answer: 11.4
Step-by-step explanation: In the fraction 57/5, 57 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 57/5 is same as "57 divided by 5" or "57 ÷ 5".
When we calculated 57 divided by 5, we found that 57/5 in decimal form is:57 ÷ 5 = 11.4 Therefore, the decimal form of 57/5 is 11.4
Hope I helped <3
A committee of three men and two women can be formed from a group of nine men and eleven women in how many different ways.
Answer:
4620.
Step-by-step explanation:
The number of combinations of 3 men from 9
= 9!/(9-3)!3!
= 9*8*7/3*2*1
= 84 ways.
The number of combinations of 2 women from 11
= 11!/11-2)!2!
= 11*10/2*1
= 55 ways.
So the total number of ways of men and women in the committee
= 84*55
= 4620.
One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution
for each equation?
I = - 4 + 51
I = 4 - 5
I = 5 + 4i
I = -5 - 4
I = 4 + 51
H
II
5 - 4
II
- 51
Reset
Next
Answer:
5+4i=4i+5
5i-4=-4+5i
-5i-4=-4-5i
Step-by-step explanation:
5+4i=4i+5
5i-4=-4+5i
-5i-4=-4-5i
Find the two that are the same with the terms swiched around and you get the answer.
100 POINTS WILL MARK BRAINLIEST DONE BY 9:00 attachment included
Solve the linear equations below. Show ALL your work AND circle the type of solution you found! (10 points)
Answer:
1. No sol.
2. One Sol. x=4
3. One Sol. w=22 1/2
Step-by-step explanation:
1.
Group like terms:
4+3p=6p-3p+5
Add similar elements (6p-3p=3p):
4+3p=3p+5
Subract 4 from both sides:
4+3p-4=3p+5-4
Simplify:
3p=3p+1
Subtract 3p from both sides:
3p-3p=3p+1-3p
Simplify:
0=1
There is no solution.
2.
One Sol. x=4
Switch sides:
3x-2=10
Add 2 to both sides:
3x-2+2=10+2
Simplify:
3x=12
Divide both sides by 3:
3x/3=12/3
Simplify:
x=4
There is a solution.
3.
One Sol. w=22 1/2
Subtract 7 from both sides:
2/3w+7-7=22-7
Simplify:
2/3w=15
Multiply both sides by 3:
3*2/3w=15*3
Simplify:
2w=45
Divide both sides by 2:
2w/2=45/2
Simplify:
w=22 1/2
There is one sol.
50 points each question. Please help. How do I solve?
Answer:
I'm not sure if it's correct
Please help me thank you!!
Answer:
Q1: 6
Med: 11
Q3: 13
Box plot: Place the far left line on 2 and the far right line on 14 to represent the minmum and maximum. For the box, drag the middle line inside to 11, keep the left side of the box on six and drag the right side to 13. It should look like the picture below when you're done.
Step-by-step explanation:
hope this helps!
help my sis needs help asap
Answer:
152 in^2
Step-by-step explanation:
If you take the left side and consider it a whole rectangle, you can calculate the area of that triangle to be 80. Using the same method, you can find the area of the rectangle of the right to be 72. Then add them together.
80 + 72 = 152 in^2
Answer:
It should be D
Step-by-step explanation:
I think it’s D since that’s what I got
A book sold 33,100 copies in his first month of release suppose is represents 7.6% of the number of copies sold to date how many copies have been sold to date?
Answer:
2515 number of copies sold to date
On the coordinate plane below, what is the length of AB?
Answer:
Ok so i think you can just count it i dont know; edit : i counted, it turns out the answer is 15 :)
2. Mr. Karr resurfaced a sidewalk in the park that was 125.065 meters long. How is this number written in words? one hundred twenty-five and sixty-five hundred thousandths one hundred twenty-five and sixty-five thousandths one hundred twenty-five and sixty-five hundredths D. one hundred twenty-five and sixty-five tenths
Answer:
one hundred twenty-five and sixty-five thousandths
Step-by-step explanation:
The 125 part is simply one hundred twnty five.
The .065 has the 5 in the thousandths place, so it is sixty-five thousandths.
Answer: one hundred twenty-five and sixty-five thousandths
Please help!! Will give brainliest! :)
Answer:
f(-2) = -3
Step-by-step explanation:
Step 1. Find equation
Step 2. Plug (-2) into f(x)
m, rise/run = (-2-0)/(0-4) = -2/-4 = 1/2
b, y-intercept = (0, -2)
y = 1/2x - 2
f(-2) = 1/2(-2) - 2
f(-2) = -1 - 2
f(-2) = -3
If you want to cheat, simply look for x = -2 on the graph and see where it touches the line. Then match the y-value and BOOM: (-2, -3), f(-2) = -3
BRAINLIEST please if this helped!Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Answer:
The data is skewed left
Less than
Median is 22
mean is 20.2
Step-by-step explanation:
median: 15,16,18,19,22,22,22,22,23,23
mean: 15+16+18+19+(22x4)+(23x2)=
31+37+88+46=
68+134=202÷10=20.2
1. At the gym on Monday, Larry is told to up his weight on the bench-press by 15% from last week. Last week he was bench-pressing 200 pounds. How many pounds should he bench-press this week?
Answer:
300 lbs
Step-by-step explanation:
We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.
Jordan spent $18. At the used bookstore.each book cost $0.45 how many books did Jordan buy?
find all the fraction between 0 and 1
Answer:
Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on. In fact, there are infinitely many fractions between any two whole numbers. Let's see why. Between 0 and 1 there are also 13, 14, 15, and any number that can be written as 1n where n is some whole number.
__________________
Hope this helped! Have a nice day!
Please give Brainliest when you can.
__________________
-Dont let the Pirates get ya!
-Jaron, King of Carthya.
Solve the equation −9f 2 + 153 = 0. Round to the nearest hundredth.
f = ±3.87
f = ±1.96
f = ±5
f = ±4.12
Answer:
Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
Step-by-step explanation:
Step 1: Subtract 153 from both sides
[tex]-9f^2 + 153 = 0[/tex]
[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]
[tex]-9f^2 = -153[/tex]
Step 2: Divide both sides by -9
[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]
[tex]f^2 = 17[/tex]
Step 3: Square root both sides
[tex]\sqrt{f^2} = \sqrt{17}[/tex]
[tex]f =[/tex] ± [tex]4.12[/tex]
Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
Suppose that$ 7000 is placed in an account that pays 6% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
Answer:
1) 7420
2) 7865.5
Step-by-step explanation:
The Formula for Compound Intertst is Amout(rate/100+1)^number of years
7000(.06+1)^1
7000(.06+1)^2
1. What is the surface area of the sphere below?
12 cm
Answer:
Using 3.14 for pi
SA =1808.64 cm^3
Using the pi button
SA =1809.557368 cm^3
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
We are given a radius of 12
SA = 4 pi ( 12) ^2
SA = 4 pi * 144
SA = 576 pi
Using 3.14 for pi
SA =1808.64 cm^3
Using the pi button
SA =1809.557368 cm^3
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
Answer:
Summary:
The solution to 2.5 - 1.2x < 6.5 - 3.2x lies in the interval (-∞, 2).
The equation of a circle is given below.
(x - 5)² + (y + 2)² =81/4
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units
Answer:
Emily, use the circle formula to solve this (x−a)^2 + (y−b)^2 = r^2
Step-by-step explanation:
where a and b are the center off sets in the x and y directions , repspectively.
(x - 5)² + (y + 2)² =81/4
So you now know, the center is at (x,y) = ( 5, 2)
and the radius is [tex]\sqrt{\frac{81}{4} }[/tex] , why is is square rooted ? you ask.
because in our formula above it's r^2 .. so we need to square root it to find it's value.
[tex]\frac{\sqrt{81} }{\sqrt{4} }[/tex] = [tex]\frac{9}{2}[/tex] = 4.5 rounded to two decimals 4.50 but not necessary
4) True or False? Our town is growing with a doubling time of 40 years, so its
population will triple in 120 years.
Is there any people who can solve this question?
What quadrilateral always has 4 congruent angles and opposite sides that are congruent and parallel?
Answer:
A Rectangle should fit all these rules.
find the value of a and b in the given figure
Answer:
a = 60°
b = 3cm
Step-by-step explanation:
Congruent angles
Parallel/congruent sides
BRAINLIEST please if this helped!Answer:
a=120 b=3
Step-by-step explanation:
For A you use 180-60 so you will get 120 for answer.
For B line PQ is parallel to line SR so 3 will be the answer
Perform the given operation :
(1+5i) (5+3i)
Answer:
-10 + 28i
Step-by-step explanation:
Multiply the binomials ↓
1*5+3i+(5i*5)+(5i*3i)
Simplify ↓
5+3i+25i+15i²
Combine like terms ↓
5+28i+15i²
Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓
5+28i-15
28i-15+5
28i-10
So the final ans is 28i-10hope helpful ~
PLEASE ANSWER THESE I WILL GIVE BRAINLIEST
I need them for math
thank you!!
Answer:
I believe 20. is (0,0)
Step-by-step explanation:
Sorry if I'm mistaken, I don't know number 18. though. I'm terribly sorry. I hope you figure it out soon and you have an amazing day! ^^ <3