The CFO of International Hardware expects to invest $50,000 of the firm's funds in a long-term investment vehicle at the end of each year for the next five years. She expects that the company will earn 7% interest that will compound annually. What is the value of these funds at the end of the five-years

Answers

Answer 1

The future value of these funds at the end of the five-years is $287,536.95

What is the future value of an annuity?

The future value of annuity , which is a  stream of level of cash flows of $50,000 each year is determined using the future value formula of an ordinary annuity bearing in mind that that investment for an ordinary annuity is made at the end of each year rather than at the beginning of each year

FV=PMT*(1+r)^N-1/r

FV=future value of the annuity=unknown

PMT=annual investment=$50,000

r=annual interest rate=7%

N=number of annual investments to be made over 5 years=5

FV=$50,000*(1+7%)^5-1/7%

FV=$50,000*(1.4025517307-1)/0.07

FV=$50,000*0.4025517307/0.07

FV=$287,536.95

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Related Questions

According to the following table, what is the federal income tax due for Mr. and Mrs. Jones filing their federal income tax return jointly who make a combined $92,400 in taxable income?

Answers

Based on the fact that Mr. and Mrs. Jones are filling their federal tax return jointly, their federal income tax due is $11,737

How to find the federal income tax?

There was no table included so I will use the federal income tax rates for those filing in April 2022.

For a married couple filing jointly like Mr. and Mrs. Jones with a combined $92,400 taxable income, the federal income tax due is:

= 9,328 + 22% of income over $81,050

= 9,328 + (22% x (92,000 - 81,050))

=  9,328 + (22% x 10,950))

= 9,328 + 2,409

= $11,737

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add to lowest terms
6 4/5 + 3 7/10

Answers

answer:

[tex]10 \frac{1}{2} [/tex]

D=33+31g. Determine the distance the car can travel using 4 gallons

Answers

Answer:

The distance d (in miles) you travel in a car is given by d=55t where t is the time (in hours)

The distance d (in miles) you travel in a car is given by d=20g where g is the number of gallons of gasoline the car uses.

1. Write an equation that relates g & t.

2. Solving for g.

=>

Hence,

3. You travel for six hours. How many gallons of gasoline does the car use

We will use this equation  to solve the question.

Putting t = 6

g = 16.5 gallons

4. How far do you travel?

We can use equation  here

miles

Step-by-step explanation:

this is what you wanted right?

Special Angle Pairs
Find m<1
Please help !

Answers

Special Angle Pairs, m<1, then the expression is,

(4x + 16)° = (2x + 34)° = 52°    where, x = 9°

⇒ As shown in Graph,

⇒ (4x + 16)° is congruent to (2x + 34)°

⇒ Because they are vertical angles.

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down.

These are vertical angles.

So,

We can write,

(4x + 16)° = (2x + 34)°

Calculate the equation,

(4x - 2x)° = (34 - 16)°

We can use sum or difference,

(2x)° = (18)°

We can divide the values,

(x)° = (18/2)°

x° = 9°

Hence,

x° = 9°

We can substitute x = 9°  value in (4x + 16)° and (2x + 34)° expression,

So,

We can use,

= (4x + 16)°

= (4*9 + 16)°

= (36 + 16)°

= 52°

Therefore,

(4x + 16)° = 52°

We can use,

= (2x + 34)°

= (2*9 + 34)°

= (18 + 34)°

= 52°

Therefore,

(2x + 34)° = 52°

Hence,

Special Angle Pairs, m<1, then the expression is,

(4x + 16)° = (2x + 34)° = 52°    where, x = 9°

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Simplify 15^5/ -5^-6

Answers

Answer:

Step-by-step explanation:

Factor 15^5:      5^5 x 3^3

[tex]\frac{5^5*3^5}{-5^-6} = 5^1^1\\ \\ \frac{5^1^1*3^5}{-1} =-5^1^1*3^5\\ \\ =-11865234375[/tex]

Either: -5^11(3^5) or -11865234375

(depending on how you're supposed to write it)

I think at least

HELP QUICK!

Which rectangle is not an enlargement of rectangle A?
A
B
C
D

Answers

Answer:

The answer is D.

Find the scale of each dimension:

B: 6/3 = 2 and 10/5 = 2, both dimensions have the same scale factor of 2.

C: 15/3 = 5 and 25/5 = 5, both dimensions have the same scale factor of 5.

D: 60/3 = 20 and 90/5 = 18, each dimension has a different scale factor so is not an enlargement.

hope it helped:)!

Answer:  answer a is wrong answer b is right answer c is wrong answer d is  right

Step-by-step explanation:

d and b are right why? bc b saids this; 6 ft for b;  10 ft d; 60 ft and 90 ft

The distance in feet that a ball rolls down an incline is modeled by s(t) = −2t^2 − 2 , where t is seconds after the ball begins rolling. Find its instantaneous velocity at t = 4 seconds.

Answers

Answer:

5

Step-by-step explanation:

because im a genious.

Solve for x
3x = 4y

Answers

Divide by 3 and you get x=4y / 3

Is 5x+3y=0 linear or nonlinear

Answers

Answer:

3.33333

Step-by-step explanation:

It is a Linear

Which list shows these lengths in order greatest to least?

Answers

Using the conversion of fraction to decimal, the list that shows these lengths in order greatest to least is:

[tex]\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}[/tex]

How a fraction is converted to decimal?

A fraction is converted to decimal dividing the numerator by the denominator.

Hence the numbers in this problem are given as follows:

9/100 = 0.09.π/24 = 0.131.3/25 = 0.12.sqrt(3)/11 = 0.1575.

Hence, considering the conversions to decimal above, the list that shows these lengths in order greatest to least is:

[tex]\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}[/tex]

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Please help !! Maurice walks 262 miles due south, then 168 miles due west and finally 422 miles due north. How
far is Maurice from his starting point?
miles

Answers

Maurice is a distance of 232 miles away from his starting point.

What is the final distance of Maurice from his starting point by using vectors and Pythagorean theorem?

Let suppose the existence of a coordinate system whose orthogonal axes are represented by north and east directions, which means that both north and east directions have positive signs. Then, the vector position of Maurice relative to his starting point is:

r = ∑ Δx i + ∑ Δy j          

Where:

Δx - Net change in the east direction.Δy - Net change in the north direction.

Then, the vector position of Maurice relative to his starting point is:

r = (- 168) i + (- 262 + 422) j

r = - 168 i + 160 j

And the distance is found by using the Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

r = √[(- 168)² + 160²]

r = 232

Maurice is a distance of 232 miles away from his starting point.

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When traveling to Great Britain, Bethany exchanged $635 US dollars into £580 British pounds. How many pounds did she receive for each US dollar?

Answers

After the exchange from the U.S dollar to British pounds, Bethany received £0.91 for each U.S. dollar.

What is an exchange rate?

An exchange rate is a rate or a price of one country's currency in terms of another.

The exchange rate describes how much each currency can be obtained when converting one currency to another.

In this instance, the exchange rate between the U.S. dollar and the British pound is $1 = £0.91.

Data and Calculations:

Total US dollars with Bethany = $635

The total British pounds received by Bethany after the exchange = £580

Exchange rate per U.S. dollar = £0.91 (£580/$635)

Exchange rate per British pound = $1.095 ($635/£580)

Thus, Bethany received £0.91 for each U.S. dollar.

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2x+5-19 division property of equality

Answers

Answer:

Step-by-step explanation:

it is the steps to get to that certain step

some of the steps are out of order

I'm going to assign letters

the order is

A: 2x+5=19

B: 2x+5-5=19-5

C: 2x=14

D: 2x/2=14/2

E: x=7

A: given

B: we subtracted 5 from both sides so subtraction property of equality

C: subtract

D: divison property of equality (we divide both side by 2)

E: divide

twenty more than a number is less than twice the same number

Answers

Answer:

x+20<2x

Step-by-step explanation:

20 more than a number implies that twenty must be added to the variable. Then, because it says less than you add a less than symbol. Finally, twice the same number tells you to use x again but since it’s being multiplied by 2, typing 2x makes it easier to understand.

The algebraic representation for the expression would look like so:

n + 20 < 2n

Given the keywords of:

• “twenty more than” (this means [insert number] + 20)

• “a number” (this stands for a variable, which any letter can be used for)

• “less than” (the way that always helps me remember is the alligator eats the greater number. It stands for this sign: “<“)

• “twice the same number” (this means “2n” because it multiplies the unknown number by 2)

please help me please dont ignore

Answers

Answer:

  2

Step-by-step explanation:

Given a graph of an original object and its image after dilation, you want to know the scale factor of the dilation.

Dilation

The scale factor multiplies each of the coordinates.

The original coordinates of point A are (0, 1).

The coordinates of dilated point A' are (0, 2).

The factor that multiplies 1 to make it be 2 is 2/1 = 2.

The dilation scale factor is 2.

__

Additional comment

As a check, you can consider another point:

  C(4, 3) × 2 = C'(8, 6) . . . . matches the point on the graph

Given m || n, find the value of x and y.
X=
(5y+19)
(2x+1)
y =
(3x-19)
m2
72

Answers

uyfgwu wfweiufw wuifhw ifew iuf iuf 7gi

A rectangular board is 1100 millimeters long and 700 millimeters wide. What is the area of the board in square meters?

Answers

Answer:

its 300000000

Step-by-step explanation:

the 5th dimensions negate your father out of existence

what percent of 55 is 11 ?

Answers

Answer:

20% try this I think this is the answer

In ΔABC, what is the value of cos B?

Answers

In right-angled triangle (ΔABC), the value of cos(B) is equal to 12/13.

What is a right angle?

A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angle has a measure of 90 degrees.

How to calculate the magnitude of cos θ?

In order to determine the magnitude of cos θ, we would apply the law of cosine because the given side lengths represent the adjacent side and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

Adj represents the adjacent side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.

Substituting the parameters into the formula, we have;

cos(B) = 12/13

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Find the ratio created when BA is partitioned by C.

Write your answer as a ratio with a colon and no spaces. Example 10:3

Answers

The ratio of the point C on the line segment is 2 : 3

How to determine the ratio of the point C on the line segment?

The line segment that completes the question is added as an attachment

On the attached line segment, we have the following points assuming that the point A is at A = 0

So, we have

A = 0

C = 2

B = 5

The above means that

AB : CB = C - A : B - C

So, we have

AB : CB = 2 - 0 : 5 - 2

Evaluate the difference

AB : CB = 2 : 3

Hence, the ratio of the point C on the line segment is 2 : 3

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16.
A quote you received from a local restaurant is $625 for a business luncheon. The restaurant owner tells you the price with gratuity is $720. How
much did the owner add for gratuity?
A. $75
B. $105
C. $85
O D. $95

Answers

The owner added D, $95 gratuity

Patty and Carol cach go for walks around a lake a few times per week. Last week, Patty walked7 miles more
"than Carol.
a. If e represents the number of miles Carol walked, write an equation that represents the total number of
miles T the two girls walked. (You may only use the variables c and T in your equation.)
b. If Carol walked 9 miles during the week, how many miles did Patty walk?
c. If Carol walked 11 miles during the week, how many miles did the two girls walk together?


Porfavor me urge :,3

Answers

(a) let number of miles Carol walked be e.

Patty walked 7 miles more than Carol.

Patty walked e + 7 miles.

Let total number of miles walked be T

that is how many miles Carol walked plus how many miles Patty walked

T = e + (e + 7)

(b) :Let number of miles patty walked be p.

p = e + 7

e = 9

P = 9 +7

P = 16

(c) T = e + (e + 7)

T = 11 + (11+7)

T = 11+18

T=29

What is the 99th digit of pie?​

Answers

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...

The approximation of pi to 99 decimal places is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679.

We have,

Determining the 99th digit of pi requires an understanding of the properties of pi and how it is calculated.

Pi is an irrational number, which means it has an infinite number of non-repeating decimal digits.

Since pi has an infinite number of digits, it is not possible to directly state the 99th digit without extensive computation.

However, various methods and algorithms have been developed to approximate the value of pi to a specific number of decimal places.

The 99th digit of pi has not been explicitly determined.

Thus,

The approximation of pi to 99 decimal places is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679.

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0.003 as a percentage.

Answers

Answer:

.3 %

Step-by-step explanation:

.003 x 100% = .3 percent

Water comes out of a pipe at a rate of 16 gallons per minute.
How many gallons have come out after 4 minutes?

Answers

Answer:64

Step-by-step explanation:16 × 4

I need to solve this problem using the he quadratic formula

Answers

Answer:

the quadratic formula is

-b +  {the square root of} b^2 - 4ac   / 2a

    -    

or just

(-b±√(b²-4ac))/(2a)

Step-by-step explanation:

yh

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth multiplier (i.e. common ratio) was around 2.0. In 1983, about 1800 people in the U.S. died of AIDS. We can use the exponential model:
P
n
=
1800

(
2.0
n
)
.
If the trend had continued unchecked, how many people would have died from AIDS in 2004?

Answers

If the trend had continued unchecked, 3,774,873,600 people would have died from AIDS in 2004

How many people would have died from AIDS in 2004?

The equation of the function is given as

P(n) = 1800(2.0)^n

Where n represents the number of years since 1983

There are 21 years from 1983 to 2004

This is calculated as

n = 2004  - 1983

n = 21

Substitute 21 for n in the equation P(n) = 1800(2.0)^n

So, we have

P(21) = 1800(2.0)^21

Evaluate

P(21) = 3774873600

Hence, if the trend had continued unchecked, 3,774,873,600 people would have died from AIDS in 2004

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ill give brainly and 10 points hurry please

Answers

Answer:

B

Step-by-step explanation:

it cant be a or c because if it is a negative then there is no need to put a + sign or add another - sign

Answer:

A

Step-by-step explanation:

Let's get the answer.

Suppose the question was the distance between 12 and 1. You would write it as 12 - 1 = 11. So you have to pick an answer that looks like this example.

B: is actually 11  12 -1 = 11

C: is 12 +(-1) = 12 - 1 which also gives 11

D: -1 -12 = -13. You are not really really with a distance here. You are combining 2 negative numbers.

So the answer is A.

-12 - (-1) = -12 + 1 = - 11

Which of the following shows examples of things that convert light energy to electrical energy? (5 points)

•Fan and wind turbine
•Light bulb and blender
•Airplane and human body
•Solar panels and solar cells.

Answers

The electrical device which shows an example of the conversion of light energy into electrical energy is: D. solar panels and solar cells.

What is a PV panel system?

A PV panel system is an abbreviation for photovoltaic (PV) panel system and it is also referred to as a photovoltaic module, solar cell panel, or solar electric panel.

In Electrical engineering, the photovoltaic (PV) panel system are typically designed and developed to convert the light energy received from the Sun into electrical energy, which can be used specific electrical devices and home appliances.

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What should be added to 52 to get -79?

Answers

Answer:

-131

Step-by-step explanation:

52+-131=-79

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