your 6 1/4 - year investment of 40,000 at 14% compounded quarterly is worth how much now?​

Answers

Answer 1

Answer:

The investment of $40,000 is worth $94,529.80 now

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

To calculate the final amount we use:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.

Applying the formula:

[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]

[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]

A=$94,529.80

The investment of $40,000 is worth $94,529.80 now


Related Questions

expresa en lenguaje algebraico lo siguiente​

Answers

Answer:

i dont speek Spanish sorry

1 What is the nature of the roots of the quadratic equation if the value of its discrimman
is zero?
The roots are not real
o the roots are rational and not equal
b. The roots are irrational and not equal d the roots are rational and equal
2. Whal is the ans of symmetry of the parabola y​

Answers

Answer:

If d is zero, both roots are rational and equal.

Step-by-step explanation:

Quadratic Equations

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The discriminant is defined as:

[tex]d=b^2-4ac[/tex]

The sign of the discriminant defines the nature of the roots of the quadratic equation as follows:

If d is positive, both roots are real and differentIf d is negative, both roots are imaginary and conjugateIf d is zero, both roots are rational and equal.

yoooo can someone help meeee thanks In advance

Answers

Answer:

The slope of F = 5.

Not 100% sure.

I need help? I don’t know what to dooooooo

Answers

Your suppose to graph where the line is

what place does the three sit at in 43,628,698,591

Answers

Answer:

Billion

Step-by-step explanation:

In 43,628,698,591 the three is in the Trillion spot.

One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.

There are 9 #’s after the 3 which means it is billions :)

4x - 10 = p+ 3x - 2x what is the value of x

Answers

Answer: if you need more let me know

Mr. Webb had 90.66 feet of wood. If he gave Jim 15.4 feet, Allison 20.69 feet and Cory
32.02 feet, how much does he have left?

Answers

Answer:

22.55 ft of wood is what mr. webb will have left

A high school track is 9.76 meters wide. It is divided into 8 lanes of equal width for
track and field events. How wide is each lane?

Answers

Answer:

1.22

Step-by-step explanation:

9.76/8

Answer: 1.22 Explanation to my answer: 9.76/8


Solve x^2 = 64, where x is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".

Answers

Answer:

x=8

Step-by-step explanation:

8 times 8 equals 64

1 11. What is the constant of proportionality? y = 8x​

Answers

Answer:

-8

Step-by-step explanation:

lere

the answer to this is 8

Please help me answer this question 17

Answers

Answer:

∠AEC = 139°

Step-by-step explanation:

EC bisects ∠BED. This means that the line EC cuts the angle in half, so        ∠BEC = 4x + 1

What do I put in those blank spaces? Been doing this for hours

Answers

Answer: okay so this is what I think is the answer I used a calculate so

Step-by-step explanation:

$12.05

$24.08

$36.12

$48.16

$60.20

Step-by-step explanation:

1 hour        2 hours         3 hours        4 hours          5 hours  

$12.04       $24.08          $36.12         $48.16            $60.20

A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP​

Answers

Answer:

1/8 tablespoons

Step-by-step explanation:

Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.

You can do this by multiplying 1/2 by 1/4.

[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]

Answer:

it would be 1/8

Step-by-step explantion:

simply divide

1/2÷4

=1/8

(that should be right)

A purse is on sale for $25.60. If the original price of the purse was $32.00,what is the percent of discount?

Answers

Answer:

20%

Step-by-step explanation:

The dollar amount of the discount is $32.00 - $25.60 = $6.40

Now we need to find what percent of $32.00 is $6.40.

To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

part = $6.40

whole = $32.00

percent = $6.40/$32.00 * 100%

percent = 20%

Find the average rate of change for the function over the given interval.
2) y = 6x3 - 6x2 - 8 between x = 2 and x = 4

Answers

Answer:

132

Step-by-step explanation:

The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.

y = 6x^3-6x^2-8

____

x = 2

6(2)^3-6(2)^2-8

6(8)-6(4)-8

48-24-8

24-8

16

____

x = 4

6(4)^3-6(4)^2-8

384-96-8

288-8

280

_____

280-16/4-2 = 264/2 = 132

if pooh bear got a bucket of honey and hops got one how much do I need to steal from hops >;3

Answers

Answer

all of it

Step-by-step explanation:

Answer:

one bucket/all of it

Step-by-step explanation:

The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
X-
Calculate the Z-score for a tree that has a diameter of
1.83 inches. Round the Z-score to the nearest
hundredth, if necessary.
The Z-score for a tree that has a diameter of 1.83 inches
is about...?

Answers

Answer:

-1.34

Step-by-step explanation:

Solve the following system of equations. y + 5x = 30 2y = 5x + 15

Answers

Answer: Solve   2y-5x-30  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2y-5x-30  = 0 and calculate its properties

Step-by-step explanation:

Answer:

x = 3, y = 15

Step-by-step explanation:

Given the 2 equations

y + 5x = 30 → (1)

2y = 5x + 15 → (2)

Subtract 5x from both sides in (1)

y = 30 - 5x → (3)

Substitute y = 30 - 5x into (2)

2(30 - 5x) = 5x + 15 ← distribute left side

60 - 10x = 5x + 15 ( subtract 5x from both sides )

60 - 15x = 15 ( subtract 60 from both sides )

- 15x = - 45 ( divide both sides by - 15 )

x = 3

Substitute x = 3 into (3) for corresponding value of y

y = 30 - 5(3) = 30 - 15 = 15

Thus solution is x = 3, y = 15

which is more , 1 gallon or 7 pints ,

a. 1 gallon
b. 7 pints
c. nethier ; they are equal

Answers

Answer:A

Step-by-step explanation: 1 Gallon is equal to 8 pints.

Answer:

A

Step-by-step explanation:

pint=1/8 of a gallon

therfor 7 pints = 7/8

7/8<1gal

Help me pleaaaaaaassssssssseeeeeeee

Answers

Answer:

+29

Step-by-step explanation:

(-)(-)=+

The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =

Answers

x=6 y=10
x=57 y=10
57/6=9.5
10*9.5 =95
y=95

Look at the table


What is the ratio of cows to horses?

pwease help me ​

Answers

Answer:

5:8 is the ratio of cows to horses.

Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts

Answers

Answer:

22

Step-by-step explanation:

The side of the rectangle that is 20 feet divide it by 5

[tex]\dfrac{20}{5}=4[/tex]

Now we add one to this as the fence post each required in each 5 feet section.

The same is the case for the opposite side.

So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]

Now for the 35 feet side

[tex]\dfrac{35}{5}=7[/tex]

Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.

So, new posts on the 35 ft side is 6.

So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]

Total number of posts is [tex]10+12=22[/tex]

2x+3=17 and x =7



It’s for algebra class please help my teacher is really strict but okay please thank u a lot

Answers

Answer:

The equation is true/ or an identity

Step-by-step explanation:

Plug in 7 for x, you get

2(7)+3=17

14+3=17

17=17

Answer:

14+3=17or(2*7) +3=17basically 17=17

Step-by-step explanation:

2x+3=17 and x =7

Let's Substitute:(Because the variable is x and we have a value for it which is 7)(Bold and underlined is where the variable is in the equation)

Since x is equal to 7 we are going to substitute it in the equation.

So: (2*7) +3=1714+3=17

I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.

Everyone Can Learn and will never stop learning!

Thank you! Hope this helps!

Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)

Answers

Answer: 6.32 units

Step-by-step explanation: You count the distance and get 6.32 units.

You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?

Answers

Answer:

=36

Step-by-step explanation:

Step-by-step explanation:

for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....

so we have to multiply 3×3×4

=36

so if we divide 36 by 3 ,4 OR 9

we will not find any remainder

1)
What number is 4 times as many as 25?

Answers

Answer:

100

Step-by-step explanation:

Find he percent of change from 1250 to 1,755mi

Answers

28.7749% increase because

1250/1755 = .7122
.7122 *100 = 71.22%
100 - 71.22 = 28.7749

In February, you have a balance of $135 in your bank account. Each month you deposit $45. Write an equation to describe the situation.

Answers

Answer:

135+45x

Step-by-step explanation:

6666666666666666666666666666666

What is the best first step to solve the inequality 5x – 3 ≥ 2?

Answers

Do the Math is Easy man!!!

Answer:

add 3

Step-by-step explanation:

trust me

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