Combine like terms to simplify the expression: 9 + 3b − 1 + 7b − 2 = ______ 9 − 10b 6 + 10b 8 + 10b 16b 9 + 10b

Answers

Answer 1

Answer:6 +10b

Step-by-step explanation:

Like terms 9-1-2 =6 and 3b + 7b = 10b


Related Questions

y=x+2 2x-y=-4 Solve the systems of equations

Answers

Answer:

Step-by-step explanation:

Given that,

y=x+2 equation 1

2x-y=-4 equation 2

This is a simultaneous equation.

Substitute equation 1 into equation 2

2x-y=-4. Since y=x+2

2x-(x+2) = -4

2x-x-2 = -4

x-2 = -4

x = -4+2

x = -2

Also from equation 1

y=x+2

Since x=-2

y=-2+2

y=0

Then, solution (x, y) = (-2,0)

Answer: x = -2, y = 0

Step-by-step explanation:

[tex]y=x+2\\2x-y=-4[/tex]

Substitute y = x+2 in [tex]2x-y=-4[/tex]

Then we get, [tex]2x-(x+2)=-4[/tex]

[tex]2x-x-2=-4\\x-2=-4\\x=-4+2\\x=-2[/tex]

Then substitute x = -2 in any equations, just only one equation. For me, I'd substitute x = -2 in y = x+2

[tex]y=-2+2y=0[/tex]

So the answer is x = -2 and y = 0

WILL GIVE BRAINLIEST ANSWER!
Given the parent function f(x)=|x|, which equation would occur if the function is vertically compressed by 13, shifted down 6 units, and shifted right 5?


f(x)=3|x+5|−6



f(x)=13|x−5|−6



f(x)=13|x+5|−6



f(x)=13|x−6|+5

Answers

[tex]f(x)=13|x-5|-6[/tex] is the equation represented by all the operations.

Step-by-step explanation:

The given function is

[tex]f(x)=|x|[/tex]

It is vertically compressed by a factor of 13 then the function becomes,

[tex]f(x)=13|x|[/tex]

It shifted down 6 units, then the function becomes,

[tex]\mathbf{f}(\mathbf{x})=\mathbf{1 3}|\boldsymbol{x}|-\boldsymbol{6}[/tex]

It shifted right by 5 units then the function becomes,

[tex]f(x)=13|x-5|-6[/tex]

Thus the resultant equation thus obtained is  [tex]f(x)=13|x-5|-6[/tex]

Whats the product of 2/3 × 36

Answers

Answer:

24 :)

Step-by-step explanation:

2 / 3  x  36 = ?

First of all, note that 36 is the same as 36/1 since 36 divided by 1 is 36. Therefore, start by setting up the problem like this:

36 / 1  x  2 / 3

Multiply the numerators together (36 x 2 = 72) and multiply the denominators together (1 x 3 = 3) and make it into one fraction like so:

72 / 3

The greatest common factor of 72 and 3 is 3. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:

24 / 1

Convert the improper fraction above to a whole number to get the answer:

24

Hope this helps :)

help porfavor, please

Answers

Answer:

Option A, (-7, -3)

Step-by-step explanation:

The answer is:  Option A, (-7, -3)

∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+18)^{\circ}∠A=(3x+18)

and m\angle B=(5x+2)^{\circ}∠B=(5x+2)

, then find the measure of \angle A∠A.

Answers

[tex]\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78[/tex]

Final answer:

The measure of ∠A, when ∠A and ∠B are supplementary, is found to be 78° after setting up an equation, simplifying it, and solving for x.

Explanation:

If ∠A and ∠B are supplementary angles, the sum of their measures is 180°. We have m∠A=(3x+18)° and m∠B=(5x+2)°. Set up an equation to find the value of x:

3x + 18 + 5x + 2 = 180.

Simplify and solve the equation:

8x + 20 = 180

8x = 160

x = 20

Now, substitute x back into the expression for m∠A:

m∠A = 3(20) + 18

m∠A = 60 + 18

m∠A = 78°

So, the measure of ∠A is 78°.

Your bill at a restaurant is $4.65, and you decide to tip the waitress 90e. Because

you have only 20e in nickels, you give her six dollar bills and ask for change. The

waitress has only two quarters in change. Without changing your plans, how do

you solve this problem?

Answers

Answer: I will give her $6.05 and collect the $0.5 in her possession

Step-by-step explanation:

Before proceeding, we need to know the quantity or equivalent of some of the things mentioned.

a.Nickel:- a nickel is 5¢, this means that the 20¢ in nickels that you had in your possession while in the restaurant is equal to (20/5) 4 nickel coins.

b. Two quarters :- Just as the name implies; 2 quarters of a dollar is [(1/4) + (1/4)] of 1 dollar = 50 cent.

We need to calculate the entire amount that needs to be given to the waitress. Since your bill after eating at the restaurant is $4.65 and the intended tip is 90¢, the sum that should be offered to her =

$4.65 + $0.90

= $5.55 (five dollars : fifty five cent).

According to the question, you have only 20 cents in nickels, so although you have five dollar bills to give the waitress, 55¢ is not available. Again, if you offer her six dollar bills, she wouldn't be able to give you a change of 45¢ ($6.00 - $5.55) because she only has 2 quarters of a dollar (50¢).

Now, since you are in possession of 20¢ in nickels, the best way to tackle the situation is to demand the two quarters that she has while handing out the 6 dollar bills and 1 nickel (5¢) to her. So, you should simply offer her $6.05 while you collect $0.50 from her in return)

Recall that the total amount that must be given to her (bill + tip) = $5.55

Then subtracting 50¢ from $6.50¢ will give:

$6.05 - $0.50

= $5.55

Therefore you have given her exactly $5.55¢ if you offer her six dollars five cent and collect fifty cents in return.

The values in the table represent a linear function. How does the value of y change in relation to a change in the value of x? A) for every change in x by 4, y changes by 3 B) for every change in x by 3, y changes by 4 C) for every change in x by −4, y changes by 3 D) for every change in x by −3, y changes by 4

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:


What is the surface area of the breadbox
to the nearest square inch? Check your
answer for reasonableness.

Answers

Answer:

Step-by-step explanation:

surface area of two sides=2[(8×8)+π×8²/4]

=2[64+16π]

=128+32π

surface area of curved surface=2πrh/4

surface along length=base (16×16)+2×(16×8)+2×π×8/4 ×16

=256+256+64π

=512+64π

Total surface area=128+32π+512+64π

=640+96π

≈640+302

≈942 in²

A shipping company charges $6 to skip a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?

Answers

Step-by-step explanation:

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.

lets make an assumption that the total weight of the shipment is x pound and cost for shipping is y.

the shipping company charges $6 for the first pound.

Up to now the charge is y=6

After 1 pound, i.e for the remaining (x-1) pounds, they charge $2 per pound.

So, the total charge will be, y=6+2(x-1)

weight is always starting from zero as there is no negative weight.so X>0

so the equation is 6(2x-1), where X is more than 0

Answer:

Its A on edge, f(x)=6+2[x-1], the brackets are rounding up

The park modeled consists of a rectangular area and 2 semicircular areas the area of the rectangle part of the park is 60000

Answers

Answer:

1,228 yards

Step-by-step explanation:

I think the photo below is your full question

And here is my answer:

Area of a rectangle = bh

60,000 = 300h  

<=> h = 200

and the Circumference + 300 + 300 +πd + 300 + 300  + 3.14 x 200 + 300 + 300 = 1,228 yards

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Which of the following statements is true? Select all that apply. A. The probability of the pointer landing on an even-numbered section is 66.67%. B. It is impossible that the pointer will land on 1. C. It is less likely that the pointer will land on an odd-numbered section. D. It is certain that the pointer will land on a number less than 6. E. The spinner is fair.

Answers

Answer:

A, B and C are the correct answers.

Step-by-step explanation:

Correct:

A - There are 4 even numbers all together. 2 is repeated twice, there is a 4 and a 6. 4 divided by 6 is 0.666 repeated. Multiply by 100 which gives you 66.666 repeated and then round up, so now we have 66.67%. This is the probability.

B - It’s impossible that the pointer will land on 1 because there in no 1.

C - It’s less likely because there are only two odd numbers, 3 and 5. Compare that to the 4 even numbers. 4 > 2. Therefore the odd numbers, or the two, is less likely than the even numbers, the 4.

Incorrect:

D - There is only one 6 out of 6 numbers total. So 1 out of 6. We cannot be certain, it fact, it would be said that it’s very unlikely for the pointer to land on the 6.

E - The spinner is most certainly not fair. The spinner has one of each number except for the 2. There are double twos. On a normal spinner you would see a number 1 replace on of the 2. This ways the spinner will be 1 through 6.

If it makes any of you more confident in this answer, my assessment also had this question and I got it correct by answering with A, B and C.

Final answer:

The probability of the pointer landing on an even-numbered section is 33.33%. The pointer can't land on 1. The spinner is not fair.

Explanation:

To find the probabilities in this scenario, we need to analyze the spinner. The spinner has 6 equal sections, numbered 2, 2, 3, 4, 5, and 6. There are:

2 even-numbered sections (2 and 4)3 odd-numbered sections (2, 3, and 5)1 section with a number less than 6 (4)

Based on this analysis, we can determine the following statements:

Statement A is false: The probability of the pointer landing on an even-numbered section is 33.33% (2 out of 6 possibilities).Statement B is true: The pointer can't land on 1 because it is not one of the numbered sections on the spinner.Statement C is false: The probability of the pointer landing on an odd-numbered section is 50% (3 out of 6 possibilities), which is the same as the probability of landing on an even-numbered section.Statement D is true: The pointer will certainly land on a number less than 6 because all the numbered sections on the spinner are less than 6.Statement E is false: The spinner is not fair because the probabilities of landing on different sections are not equal.

A 45 foot ladder is used to clean the
gutters at your house. How far away from
the house should you put the ladder in
order for it to reach the 40 foot high
gutter? Round your answer to the nearest
tenth.
5 feet.

Answers

Answer:

20.62

Step-by-step explanation:

In this instance, we are going to use the pythagorean theorem.

The height of the gutter will be a leg of the triangle, and the ladder will be the hypotenuse. The formula is

[tex]a^{2} + {b}^{2} = {c}^{2} [/tex]

While A and B are legs and C is the hypotenuse. We are trying to find B, the distance from the house.

So plug A and C in:

[tex] {40}^{2} + {b}^{2} = {45}^{2} [/tex]

Now figure it out: first you square 40 and 45:

[tex]1600 + {b}^{2} = 2025[/tex]

Isolate the B term: subtract 1600 from both sides

[tex] {b}^{2} = 425[/tex]

Now take the square root of both sides to find B

[tex]b = 20.62[/tex]

And that's your answer

Answer:

  20.6 feet

Step-by-step explanation:

The Pythagorean theorem can tell you the distance from the house the base of the ladder may be for it to reach 40 feet up. If that distance is represented by x, then it tells you ...

  45^2 = x^2 + 40^2

  x = √(2025 -1600) = √425

  x ≈ 20.6

The ladder will reach to 40 feet high when the base is 20.6 feet from the house.

_____

Comment on ladder distance

The ladder safety association recommends an angle with the ground of about 75°. That corresponds to a distance from the house of about 10 feet. If the ladder is 20 feet away, it will barely reach the gutter, so placing it at that distance would probably not be safe.

An appropriate answer to this question is "10 feet", not based on math, but based on safety. At that distance the end of the ladder will extend about 3.7 feet beyond the gutter.

What is the volume of this sphere?
12pi cm^3
36pi cm^3
288pi cm^3
864pi cm^3

Answers

Answer:

Option 3

Step-by-step explanation:

Volume of a sphere:

(4/3)×pi×r³

(4/3)pi × 6³

288pi cm³

Without multiplying, tell which is greater: 4/5 x 45 or 2/3 x 45. Explain.

Answers

Answer: It is 4/5 x 45

Step-by-step explanation: Hope i helped please mark brainliest!

I know there is suppose to be no multiplying but if you mulitply in your head 4/5 x 45 is 36 and 2/3 x 45 is 30

therefore, 4/5 x 45 is greater!

also, if not multiplying 0.8(5/4) is greater than 0.667(2/3). Therefore, 4/5 is greater than 2/3.

Final answer:

Without multiplying, 4/5 x 45 is greater than 2/3 x 45 because the fraction 4/5 is greater than 2/3 when both are compared using a common denominator.

Explanation:

To answer which is greater without multiplying, we can look at the fraction multiples of 45 in the problems 4/5 x 45 and 2/3 x 45. Since both expressions involve the same whole number (45), we can compare the fractions 4/5 and 2/3 to determine which product is greater. By converting the fractions to have a common denominator, we can see that 4/5 is equivalent to 24/30, and 2/3 is equivalent to 20/30. Therefore, 4/5 is greater than 2/3, meaning that 4/5 x 45 is greater than 2/3 x 45.

Find the equation of the line that is perpendicular to y = 2x + 4 and passes though the point (2, –2).

Answers

Answer:

the point is 3 i think

Step-by-step explanation:

Answer:

B   y=-1/2x -1

Step-by-step explanation:

Call an integer $n$ oddly powerful if there exist positive integers $a$ and $b$, where $b>1$, $b$ is odd, and $a^b = n$. How many oddly powerful integers are less than $2010$?

Answers

Answer:

There are 16 oddly powerful integers less than 2010

Step-by-step explanation:

∵ b is an odd integer

∵ b > 1

∴ The first value of b is 3

∵ a is an integer

- We can use a = 1, 2, 3, ..........

∵ [tex]a^{b}=n[/tex]

∵ n < 2010

- Let a = 1, 2, ............... 12 because 12³ is greatest integer  < 2010

∵ 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343,

   8³ = 512, 9³ = 729, 10³ = 1000, 11³ = 1331, 12³ = 1728

∴ There are 12 oddly powerful integers with b = 3

Now the second value of b is 5

[tex]1^{5}=1[/tex] but we took 1 before so we will start with 2

∵ [tex]2^{5}=32[/tex], [tex]3^{5}=243[/tex], [tex]4^{5}=1024[/tex]

- [tex]4^{5}[/tex] is the greatest integer < 2010

∴ There are 3 oddly powerful integers with b = 5

Now the third value of b is 7

∵ [tex]2^{7}=128[/tex]

- [tex]2^{7}[/tex] is the greatest integer < 2010

∴ There is 1 oddly powerful integers with b = 7

Now the fourth value of b is 9

∵ [tex]2^{9}=512[/tex]

- [tex]2^{9}[/tex] is the greatest integer < 2010

- But we used 512 before

∴ There is no oddly powerful integers with b = 9

- 9 is the greatest value of b which makes [tex]a^{b}<2010[/tex]

∵ 12 + 3 + 1 = 16

There are 16 oddly powerful integers less than 2010

Tegan biked 5 1/3 miles today, and Jack biked 3 3/4 miles. How many times the length of Jack’s bike ride was Tegan’s bike ride?

Answers

Answer:

5 1/3= (3*5+1)/3=16/3

3 3/4=(4*3+3)/4=15/4

16/3: 15/4=16/3*4/15=64/45=1.422

Step-by-step explanation:

Answer:

1.422

Step-by-step explanation:

Danielle has 3/5kg of beads. She shares the beads evenly between 5 friends.
How many Kilograms does each friend receive?

Answers

Answer:

0.12

Step-by-step explanation:

3/5=0.6

0.6/5=0.12

-5 + (5 + 3)

In the box below, show each step in simplifying the expression and explain which property you used in each step.

Answers

Answer:3

Step-by-step explanation: So if we start by breaking it down -5+ (5+3) we do the parentheses first (5+3) which equals 8. Then we are left with (-5)+8 and it would equal 3.

Final answer:

The expression -5 + (5 + 3) simplifies to 3 by first evaluating the expression inside the parentheses to 8, and then subtracting 5 from 8 to get the final result.

Explanation:

The given expression is -5 + (5 + 3). To simplify this expression, we can use the Associative Property of addition, which allows us to change the grouping of the numbers. We will also use the properties of addition and subtraction. Here is the step-by-step process:

First, simplify the expression inside the parentheses: 5 + 3. This equals 8.Now, the expression is -5 + 8. According to the rule for adding two numbers with opposite signs, subtract the smaller number from the larger number and keep the sign of the larger number. Thus, 8 - 5 equals 3.Since 8 is larger than 5 and has a positive sign, the final answer is +3 or simply 3.

Therefore, the simplified expression is 3.

What does the transformation from f to g represent?

F(x)= √x and g(x)=6 √x

Answers

Answer:

You have to have x to answer this question

Step-by-step explanation:

8a+ 12a - 75 - 95 – 11a
How to combine like terms

Answers

Answer:

9a -170

Step-by-step explanation:

Answer:

9a-170

Step-by-step explanation:

8a+ 12a-11a= 9a

-75-95= -170

9a-170

Solve the equation. Explain how you found your answer.

8y + 2y = 2y + 40

Answers

Answer:

y = 5

Step-by-step explanation:

Subtract 2y from either side. It'll cancel out both of them. Then the equation is 8y = 40.

Divide both sides by 8 and you get y=5

Pretty sure that's right. I have a dad who has a math degree so I think it would be right because he helps me every time.

Step-by-step explanation:

As shown first you combine like terms then you subtract 2y from both sides to get 40 by it self then you divide 8 by 40 to get y by itself hope this helps this answer is 100% correct and i was glad to help please give brainliest!

[tex]8y+2y=2y+40\\10y=2y+40\\ -2y -2y\\8y=40\\y=5[/tex]

If 4+2=26,8+1= 79 and 6+5=111 then what is 7+3

Answers

Final answer:

The answer is 70.

Explanation:

The given pattern seems to follow the rule of multiplying the first number by the sum of its digits and adding the result to the second number:

For example:

4 + 2 = (4 x (4+2)) = 26

8 + 1 = (8 x (8+1)) = 79

6 + 5 = (6 x (6+5)) = 111

Therefore, for 7 + 3:

7 + 3 = (7 x (7+3)) = 70

Evaluate Žy - 3+ when y = 4 and z=3

Answers

Answer:

9

Step-by-step explanation:

if

Žy - 3 when y = 4 and z=3

then,

4*3-3

=9

y=-2x²
how do I find the vertex and other points to graph​

Answers

For finding vertex, problems like ax^2 such as yours, would be (0,0). Problems like ax^2 + c, would be (0, c) and problems like ax^2 + bx + c, would be solved by -b/2a.
Now back to the question, the vertex would be (0,0). And to find other points, you make a table.
X | Y
2 | -8
1 | -2
0 | 0
-1 | -2
2 | -8
To find the X’s you just put the numbers that are to the left and right of 0 (which is the x of the vertex). Then, you plug in those numbers into the equation and solve. You will notice a pattern with the Y’s every time you make a table for a parabola. I hope this helps :)

3. What is the value of the x in the solution to the system of linear equations below?

y = 8x − 8
3x + 2y = −16

A x = 0
B x = 2
C x = −5
D x = −8

Answers

Answer:

B x = 2

Step-by-step explanation:

Step 1: Add -2y to both sides.

−75x+2y+−2y=−16+−2y

−75x=−2y−16

Step 2: Divide both sides by -75.

−75x /−75 =  −2y−16 −/75

x= 2 /75  y+ 16 /75

Answer:

x= 2 /75  y+ 16 /75

Answer:

x=0

Step-by-step explanation:

3x+2(8x-8)=-16    plug the 1st y for the 2nd y

----------------------------------------------

3x+16x-16=-16    distribute the 2

--------------------------------------------

19x -16 = -16       combine like terms

     +16     +16     add 16 both sides

--------------------------------------------

19x=0

19   19       divide 19 both sides

x=0

Hope This Helps

Evaluate 4+2(7) help me

Answers

Answer:

18

Step-by-step explanation:

4 + 2(7)

This equation can be rewritten like this: 4 + 2 x 7

According to the order of operations, multiplication comes before addition.

So, we can go ahead and multiply 2 and 7 out:

4 + 2 * 7

4 + (2 * 7)

4 + (14)

Then, our second step is to add.

4 + 14 = 18

So, 4 + 2(7) = 18.

18 is your answer.

Please mark as Brainliest! :)

Answer:18

Step-by-step explanation:do parentheses. 4x7=14+4=18

Use △ABC, in which AB=37, AC=35, and BC=12, to answer the question.

what is the ratio for tan B?


(NEED HELP ASAP! HAVE TO FINISH TODAY!!!
Sorry If I am Annoying PLEASE DONT TAKE THIS DOWN I DONT WANNA FAIL D:)

Answers

Answer:

tan B = [tex]\frac{35}{12}[/tex]

Step-by-step explanation:

tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{35}{12}[/tex]

The glee club needs to raise money for the spring trip to Europe, so the members are assembling holiday wreaths to sell. Before lunch, they assembled 15 regular wreaths and 15 deluxe wreaths, which used a total of 135 pinecones. After lunch, they assembled 15 regular wreaths and 20 deluxe wreaths, using a total of 160 pinecones. How many pinecones are they putting on each wreath?

Answers

Answer:

5 pinecones on the deluxe wreath and 4 pinecones on the regular wreath

Step-by-step explanation:

Answer:

Regular: 4

Deluxe: 5

Step-by-step explanation:

15x + 15y = 135

15x + 20y = 160

5y = 25

y = 5

15x = 135 - 15(5)

15x = 60

x = 4


need help asap!!!!!

Answers

Answer:

The correct answer is A.

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The function will be called as follows from your main program: IN PYTHON PLEASE import random def calc_birthday_probability (num_people): random.seed (2020) # Don't change this value num_trials = 1000 probability = 0""" FIXME: Complete this function to return the probability of two or more people in the room having the same birthday. """ return probability Susan would like for her child to learn a second language. If she wants the child to be fluent in the second language, research suggests that she should begin instruction no later than age __________. NADH is also used by cells when making certain molecules. Based on your knowledge of the role of NADH in cellular respiration, what do you think NADH's role is in biosynthesis of molecules?1. Oxidising molecules2. Phosphorylating molecules3. Dehydrating molecules4. Reducing molecules An extract of a balance sheet is given. What are current ratio and the quick ratiocurrent ratio:A.1.5:1B.2.0:1C.2.6:1Quick ratio:1.9:12.6:12.5:1 If you consistently build your diet by choosing mostly nutrient-dense foods, you may be able to meet your nutrient needs without using your full calorie allowance. In this case, the balance of calories is called your ____. Solid A is similar to solid B. Solid B has a volume of 23000 cubic meters. By what scale factor can you multiply every side of solid A to get solid B if the volume of solid a is 23 cubic meters What integrates all departments and functions throughout an organization into a single IT system (or integrated set of IT systems) so employees can make decisions by viewing enterprisewide information about all business operations The Giles Agency offers a 12% trade discount when providing advertising services of $1,000 or more to its customers. Audreys Antiques decides to purchase advertising services of $3,500 (not including the trade discount), while Michaels Motors purchases only $700 of advertising. Both services are provided on account. Record both transactions for Giles agency What layer in the Transmission Control Protocol/Internet Protocol (TCP/IP) model is responsible for defining a way to interpret signals so network devices can communicate? Cullen is 10 years younger than Ada. The product of their ages 2 years ago was 39. What is the product of 4.6 and 3 written in word form? The team that is planning the annual company sales meeting has members in several offices. They need to have a conversation about the agenda for the sales meeting. Which of the following will they most likely use?a. e-mail. b. blog posts. c. a conference call. d. social networking. Is the magnitude of the acceleration of the center of mass of spool A greater than, less than, or equal to the magnitude of the acceleration of the center of mass of spool B? a retirement plan guarantees to pay you a fixed amount for 25 years. at the time of retirement, you will have $100,000 to your credit in the plan. the plan anticipates earning 7% interest annually over the period you receive benefits. assume the first payment occurs one year from your retirement date, how much will your annual benefits be The law of ______ was developed in response to the notion that every person has a responsibilty to look after his own safety, and should not be able to place the blame on someone else.