Suppose that a risk-free investment will make three future payments of $250 in 1 year, $250 in 2 years, and $250 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 4 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 6 percent? $

Answers

Answer 1

Answer:

la théorie des plaques est

Answer 2

The total present value will be $693.75

The total present value will be $668.23

What is Future Value?

Future value is the value of an asset or investment as of some future date. In other words, the future value is the sum of money that an investment will be worth, assuming a certain rate of return, after a specific amount of time (interest rate).

First, i= 4/100 = 0.04

n= 1, 2, 3

Amount= $250

So, Present Value = 250/ (1 + 0.04) +  250/ (1 + 0.04)² +  250/ (1 + 0.04)³

=  250/ 1.04 + 250/ 1.04² + 250/ 1.04³

= 240. 38 + 231.13 + 222.24

= $693.75

So, The total present value will be $693.75

Second,  i= 6/100 = 0.06

n= 1, 2, 3

Amount= $250

So, Present Value = 250/ (1 + 0.06) +  250/ (1 + 0.06)² +  250/ (1 + 0.06)³

=  250/ 1.06 + 250/ 1.06² + 250/ 1.06³

= 235. 84 +  222.49 + 209.90

= $668.23

So, The total present value will be $668.23

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Related Questions

NOT SURE HELPP... it's a khan academy question

Answers

Answer:

36.87

Step-by-step explanation:

Sine rules says:

. sin x = opposite / hypotenuse

We just substitute in the values

. sin x = 3 / 5

. sin x = 0.6

Now we use sin inverse to find the value of the angle

. x = sin^-1(0.6) = 36.87

[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]

Who is the general information of accounting

Answers

Answer:

General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.

Due to normality, the formula for computing z is the same for a single data value, as it is
for an average of the data values for a sample group.

True or false ?

Answers

Using the Central Limit Theorem, the statement is false, as for the averages of  the data values for a sample group, the standard error is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], hence, the formula is:

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

While for a single value, it is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Hence, the formulas are different, and for an average of the data values for a sample group it is:

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

A similar problem is given at https://brainly.com/question/24663213

solve pls brainliest

Answers

2/6 should be the answer

Answer:

1/3

Step-by-step explanation:

Can somebody answer this with A ANSWER and not sum else whoever does I will give brainiest

Answers

Answer:

911,250

Step-by-step explanation:

4050 · 225 = 911,250

i need help with this question.

Answers

Answer:

See below for answer.

Step-by-step explanation:

∠1 and ∠2 are supplementary               Given

∠1 + ∠2 = 180°                                         Definition of supplementary angles  

∠3 and ∠2 are supplementary               Given

∠3 + ∠2 = 180                                         Definition of supplementary angles  

∠1 + ∠2 = ∠3 + ∠2                                  Substitution

∠1 = ∠3                                                    Substracting ∠2 from both sides    

Does anyone know how to do this function

Answers

Answer:

Step-by-step explanation:

f(x) = 2x + 1

g(x) = ?

h(x) = ln(x)

hgf(x) = ½ln(2x - 3)

All h(x) does is take a natural log of a number, therefore the output

gf(x) = [tex]\sqrt{2x - 3}[/tex]

the change between f(x) and fg(x) is a subtraction of 4 then raising the result to a power of ½.

g(x) = [tex]\sqrt{x - 4}[/tex]

What is the place value of 8 in 4.08?
20+ Points

Answers

Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.

Would appreciate brainly <3

Hello there!

The value of 8 is:

Hundredths

The second number after the decimal point is in the hundredths place.

Hope it helps!

Please mark brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

The chief engineer is in charge of deciding the mountainous road-network that will be kept open (cleared of debris and maintained regularly) during the winter months. Each road connects different small towns in the mountains, and all towns are connected to each other either directly or indirectly. Each road is associated with a value indicating the level of danger in maintaining that road during winter months. There are many subsets of roads such that the roads in such subsets keep the towns connected directly or indirectly. Each subset is assigned a cost of maintenance, which is directly proportional to the highest danger level of the road present in that subset. The engineer wants to select the smallest subset that keeps the towns connected directly or indirectly and that also has the lowest cost of maintenance. Develop an algorithm to find such a subset. Justify the correctness of your algorithm and derive its runtime.

Answers

Answer:

I dont know the answer to it

The two legs of a right triangle are and . The hypotenuse is . Solve for in terms of the other variables.
What's the answer I'm very confused.

Answers

Answer:

the answer is c

Step-by-step explanation:

u welcome

The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

What is the Pythagoras Theorem?

According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

How to solve the question?

In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.

We are asked to solve for r in terms of other variables.

By Pythagoras theorem in the given right triangle, we can say that:

r² + s² = t², which is the required equation.

To solve for r in terms of other variables, we do as follows:

r² + s² = t²,

or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},

or, r² = t² - s² {Simplifying},

or, r = √(t² - s²) {Square rooting both sides of the equation}.

Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

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Taryn mowed 9 yards and makes $112.50. How much does Taryn charge
to mow one yard?

Answers

12.50$ cause if you do 112.50/9 it equals 12.5

Which equations and/or functions represent the graphed line? Select three options.
i included the graph and choices in the attachment (;

Answers

Answer:

1,3,4

Step-by-step explanation:

hope this helped

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

Answers

9514 1404 393

Answer:

  55° : 70°

Step-by-step explanation:

The sum of the two other angles is ...

  180° -55° = 125°

The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...

  11×5° = 55°

  14×5° = 70°

Answer:

55° and 70°

Step-by-step explanation:

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.

11 * 5 = 55°

14 * 5 = 70°

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

check

55 + 55 + 70 = 180°

the sum of the interior angles of a triangle is 180,

so

the answer is good

Calculate percentage to the nearest 0.1%.

The markup on desserts in a restaurant is 70% of the menu price. The restaurant is adding key lime pie to its dessert list.
The cost to the restaurant works out to $1.25 per slice.
Determine:

a. The menu price of a slice of pie. (Round your answer to the nearest cent.)

Price
$

b. The rate of markup on cost. (Round your answer to one decimal place.)

Rate
%

Answers

9514 1404 393

Answer:

  a. $4.17

  b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

  m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

  m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

  t : c = 10 : 3

The menu price of the pie slice will be ...

  $1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

  m : c = 7 : 3 ≈ 2.333 = 233.3%

Y=2x+9
Y=6-x
Solve the system of linear equations by

Answers

Answer: (-1,7)

If you just set them equal to each other by the process of substitution, the equation would look like:

6-x=2x+9
6=3x+9
-3=3x
x= -1

Then solve for y by substituting the x value:

Y=6-(-1)
Y=7

So, your answer would be (-1,7)

The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12 mice?

Answers

Answer:

18

Step-by-step explanation:

you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18

8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags

Answers

a) 1 bag is $2.99

b) 9 bags are $26.91.

$11.96/4 is 2.99

So one bag costs $2.99 and for any rest of number of bags we just multiply that number by 2.99!!

Hope this helps. :)

Answer:

a) $2.99

b) $26.91

Step-by-step explanation:

Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.

Since

$11.96 / 4 = $2.99

One bag costs $2.99

To find the price of 9 bags, just multiply 2.99$ by 9:

$2.99 * 9 = $26.91

A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

The grocery clerk can scan 2 items every second or 2/1 with 2 represrnting items and 1 representing seconds

which inequality is true when the value of H is -14 I'ma post a picture​

Answers

Answer:

h + 10 > - 9.5 is the correct answer

100 POINTS If x and y are real numbers, what is the simplified radical form of [tex](x^{2} y^{5} )^{\frac{1}{5} }[/tex]

Answers

Answer: [tex]x^{2/5}[/tex][tex]y[/tex]

Step-by-step explanation:

([tex]x^{2}[/tex][tex]y^{5}[/tex])^[tex]^{1/5}[/tex]

= [tex]x^{2/5}[/tex][tex]y[/tex]

the answer will be: (x^2/5) y
(x to the power of 2/5, times y)

Work out the area of this semicircle.
Take a to be 3. 142 and write down all of the digits given by your calculator.
11 cm

Answers

Answer:

Step-by-step explanation:

A = πr²/2 = 3.142(11²)/2 = 190.091 cm²

Solve each inequality. Graph and check the solution.
e
1.
<3
2
0 1 2 3 4 5 6 7 8 9 10 11

Answers

Answer:

xxxx

Step-by-step explanation:

The ratio of boys and girls are 2:5. If the total number of students in school are 350, find the number of girls.

Answers

Answer:

250 girls

Step-by-step explanation:

Add the ratio together (2+5=7), then do 350÷7=50

50 is one part of the ratio so to find how many girls, you would do 50x5=250

Simplify the expression ((1/2)^3)^3
Helppp

Answers

the expressions simplified in the exact form would be 1/512.

please answer fully /////////////

Answers

Answer: 6

Step-by-step explanation:

PEMDAS. 3 * {(10+35) / 9 - 3}             10+35=45  45/9= 5    5-3=2     2*3= 6

What does ± indicate when its used like 2±1?​

Answers

Answer:

it is in quadratic equation meaning you use Plus or minus

Answer:

I is both the plus and minus sign so and 2+1 and subtract 2-1 both answers are the answer

Step-by-step explanation:

The plus–minus sign, ±, is a mathematical symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction.

The sign may also represent an inclusive range of values that a reading might have.

f(x) = -4x2 + 4x – 4
Find f(3)

Answers

F(3) occurs when x =3. So lets plug 3 into our equation.

[tex]f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28[/tex]

F(3) = -28

I hope this helps! :)

WILL GIVE BRAINLIEST AND WORTH 20 POINTS! A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at 60 mph, at what time will the second train catch up with the first?

Answers

Answer:

the second train will Cath up with the first after 15 hours hence time will be at (5pm+15hours= 8:00am

Step-by-step explanation:


HELLOPPPPPPPPPPPPPPPP

Answers

Answer:

Hello!

Judging by the link you provided I have come up with the correct solution:

x= 61°

y= 29°

Step-by-step explanation:

I will link my work below:

The first step to finding the two solutions it to first identify one of them.

I chose to identify x first.

To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.

Thus you can simply find the value of x by doing this formula:

x+29°=90°

You then subtract 29° from both sides to simplify, and you come up with the solution

x=61°

Now we need to find the value of y.

To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).

The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.

Thus you can assume that:

x+y=90°

x= 61°

61°+y=90°

You then subtract 61° from both sides to get:

y=29°

1) Which multiplication expression is equivalent to
-8 + (-8) + (-8) + (-8)?

Answers

Answer:

-8 x 4

Step-by-step explanation:

Multiplication is really just repeated addition. In multiplication, the 2 terms are the number being added and the number of times it is added. In this case, the number being added is -8 and it is being added 4 times. Therefore, the multiplication expression must be -8 x 4.

-32 that's the answer

Step-by-step explanation:

that's easy

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