Making the assumption of no compounding interest, suppose you purchase a perpetuity bond from Sense/Net Corporation for $4,000 with an annual coupon rate of 3% . Specify all answers to the nearest dollar, and assume a discount rate equal to that of the current interest rate. What is the yearly return on your $4,000 investment?

Answer:

44

Step-by-step explanation:

Answer: b

Step-by-step explanation:Step 1: Simplify both sides of the equation.

6x=x2+9

Step 2: Subtract x^2+9 from both sides.

6x−(x2+9)=x2+9−(x2+9)

−x2+6x−9=0

Step 3: Factor left side of equation.

(−x+3)(x−3)=0

Step 4: Set factors equal to 0.

−x+3=0 or x−3=0

Answer:

increases

Step-by-step explanation:

on on the side, it looks like you need to enter stuff into the table. All you need to do is copy the numbers from the table and transfer them to the empty one.

also this answer just makes sense. If you look at the table, you can see for the x values, they are always increasing. For The y values they are also increasing. Therefore, is the number of hours studying increases the corresponding test scores also increase

Answer:

THEY ARE EQUAL =

Step-by-step explanation:

Answer:

Standard Form: 2x - y = -2

Answer:

32 miles

Step-by-step explanation:

32 miles is equal to 51.499008 Kilometers

12.7 kilometers is equal to 7.891414 miles

Answer:

1 cup of hot chocolate is $2.5

1 slice of pumpkin pie is $2.5

Step-by-step explanation:

Represent Pumpkin Pie with P and Hot Chocolate with C:

Marty:

[tex]2P + 2H = 10[/tex]

Patty:

[tex]4P + 5H = 22.5[/tex]

So, we have the following set of equation:

[tex]2P + 2H = 10[/tex] -------- (1)

[tex]4P + 5H = 22.5[/tex] -------- (2)

Multiply the first equation by 2

[tex]2(2P + 2H = 10)[/tex]

[tex]4P + 4H = 20[/tex] -------- (3)

Subtract (3) from (2)

[tex]4P + 5H = 22.5[/tex]

[tex]4P + 4H = 20[/tex]

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

[tex]5H - 4H = 22.5 - 20[/tex]

[tex]H = 2.5[/tex]

Substitute 2.5 for H in [tex]2P + 2H = 10[/tex]

[tex]2P + 2 * 2.5 = 10[/tex]

[tex]2P + 5 = 10[/tex]

[tex]2P = 10 - 5[/tex]

[tex]2P = 5[/tex]

Divide through by 2

[tex]P = \frac{5}{2}[/tex]

[tex]P=2.5[/tex]

Hence, 1 cup of hot chocolate is $2.5 and 1 slice of pumpkin pie is $2.5

Answer:

x=19

Step-by-step explanation:

x+8=2x-11

-11+11=0

8+11=19

x-x=0

2x-x=x

x=19

Answer:

hey so the answer is m=-4

hope this helps!!~~

Answer:

16.1

Step-by-step explanation:

Answer:

[tex]P = (-5,5)[/tex]

Step-by-step explanation:

Let the segments be A and B

[tex]A = (-9,3)[/tex]

[tex]B = (1,8)[/tex]

[tex]m:n = 2:3[/tex]

Required

Determine the endpoints after it is divided into ratios.

Let the point be represented with P

The formula to use is:

[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

Where

[tex]A = (-9,3)[/tex]  ----- [tex](x_1,y_1)[/tex]

[tex]B = (1,8)[/tex] ------ [tex](x_2,y_2)[/tex]

So:

[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

[tex]P = (\frac{2 * 1 + 3 * -9}{2 + 3},\frac{2 * 8 + 3 * 3}{2 + 3})[/tex]

[tex]P = (\frac{-25}{5},\frac{25}{5})[/tex]

[tex]P = (-5,5)[/tex]

Answer:

AAS (Angle-Angle-Side)

Step-by-step explanation:

Topic: congruence and similarity

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

Angle Angle Side

Step-by-step explanation:

You can see you have two angles next to each other and one side next to that so just see which proof it fits

Hope This Helps

Answer:

Well it could be a number of fractions. It could be 1/8 and 4/8, or 2/8 and 3/8.

Answer: -8

Step-by-step explanation: because the formula is mx+b=y and the -8 is the b

Answer:

is 300 an answer? If not let me know then I'll correct it.

Step-by-step explanation:

Answer:

The answer for the question is 11 and 12 I just got a test back and it was correct

Step-by-step explanation:

Answer:

32 and 146

Step-by-step explanation:

Answer:

Simplify the solution: 13^1d^3

Step-by-step explanation:

Any expression raised to the power of one equal itself.

Answer:

2. x = 3

3. x = 5

Answer:

Below.

Step-by-step explanation:

(2).   6x + 51 + 111 = 180

        6x = 180 - 162 = 18

         x = 3.

(3).   6x = 30

        x = 5.

Answer: it would be g because if you distribute 9, you end up with x+72 and the bottom one is 9•8 (also 72)+x

Answer:

3.72

Step-by-step explanation

2x3.42=6.82

6.82-3.1=3.72

Answer:

First, substitute y by the value

2(3.41)-3.1

Multiply the bracket by 2

It will be 0.58651026393, so you’ll round it up to make it shorter to make it easy for calculation

0.59-3.1=-2.51

-2.51 is the answer to your question

Step-by-step explanation:

I hope this helped, please give me brainliest

Answer:

229.9

Step-by-step explanation:

Answer:

229.9

Step-by-step explanation:

Uh easyyyyy lol

The answer is B because it has to have a right angle in it

Answer:

Answer: D. x/4 = 13

Step-by-step explanation:

Equations

Solve the following equation:

x - 12 = 40

Adding 12:

x = 52

Let's test each option to find which one of them has the same solution.

A. x/2 = 14

Multiplying by 2:

x = 28

B. x + 12 = 40

Subtracting 12:

x = 28

C. 12 - x = 40

Subtracting 12:

-x = 28

Multiplying by -1:

x = -28

D. x/4 = 13

Multiplying by 4:

x = 52

This last option is true.

Answer: D. x/4 = 13

Answer:

m=2

Step-by-step explanation:

if that's not how you write it then try y=2x

Answer:

123.6cm^2

Step-by-step explanation:

24^2=576

area of all four quarter circles combined: 144pi

576-122pi

Answer:

what do u need help with

Step-by-step explanation:

I'm sorry I don't know the answer i know your mad because I'm writing this