Normandin Inc. has an unfunded pension liability of $575 million that must be paid in 20 years. To assess the value of the firm’s stock, financial analysts want to discount this liability back to the present. If the relevant discount rate is 6.8%, what is the present value of this liability?

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

Answer:

$56.16

Step-by-step explanation:

To find the sale price, multiply the original price by 0.75:

74.88(0.75)

= 56.16

So, the sale price is $56.16

Answer:

1065.1

Step-by-step explanation:

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

Salary is a compensation or fixed amount of money paid to an employee by an employer in return for work performed.

For the given situation,

Halloween's salary received per hour = $9.10

Halloween's piecework pay per unit = 15 cents

Total work per week = 40 hours

Total unit produced per week = 988 units.

Part a:

1. Halloween's piecework pay = [tex](988)(15)[/tex]

⇒ [tex]14820 cents[/tex]

we know that $1 = 100 cents

⇒ [tex]\$148.20[/tex]

2. Halloween's total hourly pay for the week = [tex](40)(9.10)[/tex]

⇒ [tex]\$364[/tex]

3. Halloween's total pay for the week = [tex]364+148.20[/tex]

⇒ [tex]\$512.20[/tex]

Part b:

Halloween's boss offered to pay her a straight $13 per hour and no piecework pay for the week.

Total amount received for the week = [tex](40)(13)[/tex]

⇒ [tex]\$520[/tex]

Difference in pay = [tex]520-512.20[/tex]

⇒ [tex]\$7.80[/tex]

Thus, she earns more when she get the straight salary on hourly basis.

Part c:

If her production is 0 units, then she might get her hourly pay only.

⇒ [tex](40)(9.10)[/tex]

Hence we can conclude that

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

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Answer:

Step-by-step explanation:

answer 41x

Step-by-step

Answer:

33-11

48-26

Alice’s age (a) = Martha’s age (m) + 22

Step-by-step explanation:

In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

To make sure we are correct we would do another problem.

37 - 15 = 22

So in order to find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

Same when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which would be 22.

Answer: 11 and 26

Step-by-step explanation:

hope this helps :)

Answer:

x=18°

Step-by-step explanation:

5x-18=4x

subtract 4x from both sides

x-18=0

add 18 to both sides

x=18°

Answer:

B 2:1

Step-by-step explanation:

Answer:

suree.

Step-by-step explanation:

Answer:

the first graph

Step-by-step explanation:

the one with (0,-1) (-3,1) (3,-3)

Answer:

93°

Step-by-step explanation:

In triangle ABC

one angle = 68°

Another angle = 19°

Let the third angle be X Then

x + 68° + 19° = 180° { being sum of angles of triangle }

x = 180° - 87°

x = 93°

The measure of the third Angle is 93°

Hope it will help :)

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

Answer:

Proved

Step-by-step explanation:

Given

[tex]a_n = 2n[/tex]

Required

Prove that [tex]S_n = n(n+1)[/tex]

The given sequence is an arithmetic sequence.

The Sn of this sequence is:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

Calculate a1

[tex]a_n =2n[/tex]

[tex]a_1 =2*1[/tex]

[tex]a_1 =2[/tex]

So, we have:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]

Factor out 2

[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]

[tex]S_n = n(1 + n)[/tex]

[tex]S_n = n(n + 1)[/tex] --- Proved

Step-by-step explanation:

1

9

2

5

5

8

6

7

−

1

9

8

9

7

6

6

6

7

+

4

4

5

Answer:

Step-by-step explanation:

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

Option D is true.

What is Vertical angles?

When the two lines are crosses to each other at a point then the vertical angles are formed.

Given that;

∠1 and ∠2 are formed between two lines which crosses at a point.

Now,

The two lines are vertical lines which passes through a point and ∠1 and ∠2 are formed between them.

So, By definition of Vertical Angles;

∠1 ≅ ∠2

Therefore,

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

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Answer:

the number of t-shirts sold to breakeven is 56 t-shirts

Step-by-step explanation:

The computation of the number of t-shirts sold to breakeven is shown below:

= Fixed cost ÷ (Selling price - cost price)

= $350 ÷ ($10 -  $3.75)

= $350 ÷ 6.25

=  56 t-shirts

Hence, the number of t-shirts sold to breakeven is 56 t-shirts

Answer:

[tex]r \le 10[/tex]

[tex]s > -1[/tex]

[tex]t \ne 5[/tex]

[tex]x \le -3[/tex]

[tex]y \ne 1[/tex]

Step-by-step explanation:

Required

Translate to mathematical statements

a) r is less than or equal to ten.

less than or equal means [tex]\le[/tex]

So, the expression is:

[tex]r \le 10[/tex]

b) s is more than negative one

More than means >

So, the expression is:

[tex]s > -1[/tex]

c) t isn't the same as negative  five.

isn't the same means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]t \ne 5[/tex]

d) x is at most negative three.

At most means [tex]\le[/tex]

So, the expression is:

[tex]x \le -3[/tex]

e) y is never one.

is never means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]y \ne 1[/tex]

Answer:186.66is answer

p=14000

r=8%

time=60days=2month/12=1/6year

Step-by-step explanation:

simple interest=ptr/100=14000×8×1/600=186.666

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Length times width. 3 is length and width is 5

Answer:

31/2 d nada xdddddddddddddddddddddddddddd

Answer:

2,540 miles

Step-by-step explanation:

The computation of the fewer miles is given below;

For Space explorer B

= 15,000 miles ÷ 5 hours

= 3,000 miles per hour

For space explorer A

y = 4,600 x

That means in one hour it covered 460 miles

So, the fewer miles would be

= 3,000 - 460

= 2,540 miles

Answer:

0.1709 in words-

Point one seven zero nine

Answer:

375

Step-by-step explanation:

15 times 25 equals 375

Answer:

You want to buy long pieces of paper at Dollar Tree for 66 cents. You have $12. How many long pieces of paper can you buy

Step-by-step explanation:

Answer:

-14. Aunque podría estar equivocado. Espero poder ayudar

Step-by-step explanation:

Answer:

Slope: 5/3

Step-by-step explanation:

Linear equation:

y = mx + b

m is the slope

so if,

y = 5/3x - 4

5/3 is the slope.

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

72 square feet not covered

Step-by-step explanation:

100%-40% = 60%

60% of 120 = 0.6x120 = 72

Answer:

72

Step-by-step explanation:

because i know

Answer:

y=-2/7x+1/7

Step-by-step explanation:

Find the slope first

-1-1/4+3

-2/7

m=-2/7

y=-2/7x+b

1=-2/7(-3)+b

b=1/7