the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.

The Compound Interest Formula A=p(1+r/n)^nt Where P Is The Initial Amount Invested, R Is The Interest

Answers

Answer 1

Answer:

Option (D)

Step-by-step explanation:

Formula to calculate the final amount after 't' years is,

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

Here P = Initial amount

r = rate of interest

n = number of times compounding done

t = duration of investment

For A = $8000

r = 0.06

t = 10 years

n = 12 (compounded monthly in a year)

Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]

                                        = [tex]8000(1+0.005)^{120}[/tex]

                                        = [tex]8000(1.005)^{120}[/tex]

                                        = 8000(1.8194)

                                        = $14555.17

Therefore, Option (D) will be the answer.

Answer 2

Answer:

the answer is d

Step-by-step explanation:

$14,555.17


Related Questions

1.If a number a is always less than another number b, which of the following expressions expresses their relationship?

A.a≤b

B.a≥b

C.a>b

D.a 0

D.x 9
Which of the following sentences is the word equivalent of the expression above?

A.The product between 3 and a number is no less than 9.

B.The product between 3 and a number is greater than 9.

C.The product between 3 and a number is no more than 9.

D.The product between 3 and a number is less than 9.

Answers

Answer:

Let's define the symbols:

x <  y

means that x is strictly less than y.

x ≤ y

means that x is less than or equal to y.

(both of these signs can be in the other direction, take that in mind).

A) " a is always less than another number b"

Here we should have:

a < b.

a is always less than the other number b.

This is not in the options, so i suppose that there is a mistake in the question.

B) The expression "above" is not shown here, so i will just writhe the correspondent expression for each option, and you can see which one matches with the expression above.

a) "The product between 3 and a number is no less than 9"

3*n ≥ 9.

b) "The product between 3 and a number is greater than 9."

3*n > 9

c) "The product between 3 and a number is no more than 9"

3*n ≤ 9

d) "The product between 3 and a number is less than 9"

3*n < 9

Please Find 23% of 40

Answers

Answer:

9.2

Step-by-step explanation:

THE POWER OF MULTIPLICATION

%/100=(x)/40

%=23 % (means out of 100 so (23/100=.23))

.23 = (x)/40 (solve for x)

9.2 is 23% of 40

Nemos aquarium is filled with 2400 cm³ of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the water in Nemo’s aquarium

Answers

10 dkddlckckvk kcfkdkkfgmgg

A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. What is the mean amount by which the team won or lost over the six games?

Answers

Answer:

the mean of which the team won is 8.75

The mean of which the team lost is 11.5

Step-by-step explanation:

add all the numbers of which the team won by then divide the sum by the number of numbers there are

example:

7+8+11+9=35/4=8.75

Which of the following is equivalent to (5x^2)(4x^3)

Answers

Answer:

20x^5

Step-by-step explanation:

You just multiply 5 by 4 and get 20 and when multiplying exponents you just add them together so you get 20x^5

Is 11 a solution to 3(x+6)=4x ?

Answers

Answer:

The number 11 is not a solution for the given equation.

Step-by-step explanation:

We are given an equation with one variable. We can use simplifying processes to solve the equation.

[tex]3(x+6)=4x \ \ \text{Distribute the 3 through.}\\3x + 18 = 4x\ \ \ \text{Flip the equation.}\\4x = 3x + 18 \ \ \ \text{Subtract 3x from both sides.}\\\small\boxed{\bold{x = 18}}[/tex]

We can also substitute 11 for x and solve to see if the left side and right side of the equation equals itself.

[tex]3(11 + 6) = 4(11)\\33 + 18 = 44\\\small\boxed{\bold{51 \neq 44}}[/tex]

Therefore, 11 is not a solution for the given equation.

Answer:

First of all,We need to find the value of x to find that 11 is the solution to 3(x+6)=4x or not.

[tex] \displaystyle \rm \longmapsto \:3(x + 6) = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:3x + 18 = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:4x = 3x + 18[/tex]

[tex] \displaystyle \rm \longmapsto \:4x - 3x = 18[/tex]

[tex] \displaystyle \rm \longmapsto \:x = 18[/tex]

Let's put x as 11:

[tex] \displaystyle \rm \longmapsto \:3(11 + 6) = 4(11)[/tex]

[tex] \displaystyle \rm \longmapsto \:33 + 18 = 44[/tex]

[tex] \displaystyle \rm \longmapsto \:51 = 44[/tex]

51 doesn't equal to 44.So,11 is not the correct solution to 3(x+6)=4x.

A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}

Which one is a function?
And which is is not Non-function?


PLZ ANSWER PLZ 15 POINTS JUST PLZ

Answers

Letter B is a function because all the x values are different. Letter C is a function also because even though the number 4 repeats, it is in the y value and not the x so as long as the x value’s are different, it is a function. Letter A is not a function because there are 2 of the same x values.

5/6 multiplied by 1/5
Show you work please

Answers

Answer:

The answer is 5/30

Step-by-step explanation:

The answer is 5/30 because when multiplying a fraction by a fraction you have to multiply the numerator by the numerator and the denominator by the denominator so if you multiply 5 by 1 you get 5 and when you multiply 6 by 5 you get 30 so the answer is 5/30

Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.
To find the number of meters in 9,382 centimeters, move the decimal point 2 units to the right.
To find the number of kilometers in 6.39 decimeters, move the decimal point 3 units to the left.
To find the number of dekameters in 18 kilometers, move the decimal point 3 units to the right.

Answers

Answer:

To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.

Mark me brainliest if I am right...PLEASE

Answer:To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.

Step-by-step explanation:

PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)

Answers

Answer:X=3

y= -4

Step-by-step explanation:

If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.

so solving for x, 4x=12--> x=3, since y=0 in this scenario.

Solving for y, x=0, so -3y=12--> y=(-4)

9514 1404 393

Answer:

  see below for a table

Step-by-step explanation:

You can easily identify intercept points by solving for one variable when the other is zero.

x-intercept (y=0)

  4x = 12

  x = 12/4 = 3

y-intercept (x=0)

  -3y = 12

  y = 12/-3 = -4

So, the coordinate pairs of these points are ...

  (3, 0) and (0, -4)

__

If you solve for y, you get ...

  -3y = 12 -4x

  y = (4/3)x -4 . . . . . divide by -3

This suggests that x being a multiple of 3 will be useful for finding integer values of y.

We already have points for x=0 and x=3. We can add points for x=6 and x=-3.

  y = 4/3(6) -4 = 4

  y = 4/3(-3) -4 = -8

So, the additional points are ...

  (6, 4) and (-3, -8)

what is 55 - 11u =55​

Answers

Answer:10


Explanation:

Take the subtraction sign turn it into a plus because you want to make it a bigger number. Then it equals 110 and divide 110 by 11u and it equals 10

the length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensions of the rectangle

Answers

Answer:

26x47

Step-by-step explanation:

To calculate the length of the rectangle we would do 2(2x - 5) + 2(x) = 146

We simplify and get 6x - 10 = 146,

then divide both side by 6 and plus 10 both sides,

we will get

x = 26

Now we've found one of the length,

to find the other side we do 26 * 2 = 52, and subtract 52 from 146,

which would get 94, then we divide it by 2

94/2 = 47

The dimensions is 26x47

please can i have the asnwer !!

Answers

9514 1404 393

Answer:

  (3, 2), (4, 0)

Step-by-step explanation:

Two integer grid points are crossed by the curve on or above the x-axis:

  (x, y) = (3, 2), (4, 0).

PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.

Answers

Answer:

ok it has to be c baceau it loooks like it

Step-by-step explanation:

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line
containing AB?

Answers

Answer:

ABC to XYZ

Step-by-step explanation:

Line AB can be moved across to line XY and it will be a perfect match

Answer:

its A

Step-by-step explanation:

bc its A

which of these tables represents a linear function?​

Answers

Answer:

table b

Step-by-step explanation:

Linear equations have a constant pattern in the y values and the second table consistently decreases by 1

Which is the solution to the inequalit? 1/4 +x less than 5/6

Answers

Answer:

  x<7/12

Step-by-step explanation:

     1/4+x<5/6

1/4+x-1/4 < 5/6-1/4

             x<10/12-3/12

            x<7/12

Write the inequality out.

1/4 + x < 5/6

Now solve for x

x < 5/6 - 1/4
x < 7/12

help me please.
[tex]help \: me[/tex]

Answers

The solution is where the two lines cross each other:

(-1,3) and (2,6)

The answer is B.

Solve for r: 7r+ 30 = -65​

Answers

Answer:

R= - 95/7

Step-by-step explanation:

Y’all please help I have so many missing assignments and it would help if you even did one question for my homework

Answers

Answer:

Step-by-step explanation:

31 = - (1 +6p ) +4(p + 6 )

Answers

Answer:

p = -4

                                                                                                                 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

p = -4

Step-by-step explanation:

I'm not going to explain each step, just try to follow along.

31 = -(1+6p)+4(p+6)

31 = -1-6p+4p+24

7 = -1-2p

8 = -2p

p = -4

I hope this helps!

What value of x makes this equation true?

-6x + 3 = 45

Answers

Subtract 3
-6x = 42
Divide by -6
x = -7

Answer:

Subtract 3

-6x = 42

Divide by -6

x = -7

Write the equation of the line that goes through (-2/3, 7/8) and is PARALLEL to 3x + 4y = 7

Answers

Answer:

6x+8y = 3

Step-by-step explanation:

we have 3x + 4y = 7

4y = -3x + 7

y = -3/4 x + 7/4

so slope is -3/4

2 parallel lines always have same slope

so the slope of our new line is -3/4

so y = -3/4 x + C

for c,

we have (x,y) = (-2/3,7/8)

7/8 = -3/4 * -2/3 + C

C = 3/8

so equation is

y = -3/4 x + 3/8

simplyfyig,

8y = -6x + 3

or, 6x+8y = 3

2x+3>_7 or 2x+9>11 plzzzz help meee

Answers

Answer:

b

Step-by-step explanation:

hi I I'm the explanation

Need help !!!! I would make you 100 edits if you answer this for me ! I need some help on this !! It’s due in a few minutes!! Help me !!

Answers

Answer:

6A7C8B

Step-by-step explanation:

Add them in and try to solve for 7 and 6, for 8. I usually put all number on one side and all x on other side.

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

40

17

15

42

52

67

65

14

Answers

Answer:

The possible lengths of TR : TR = 17, 40, 42, 52,

Step-by-step explanation:

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

To find the possible lengths of the third side of a triangle:

c - a< b > a + c

a = WT = 25

c = WR= 40

b = TR = ??

40 - 25 < b < 40 + 25

15 < b < 65

The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,

im bad at math so help ill mark the first person brainliest ty

Answers

Answer:

A. -x² + 2x + 8

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 1

g(x) = x² - 7

(f - g)(x) is f(x) - g(x)

Step 2: Solve

Substitute:                    (f - g)(x) = 2x + 1 - (x² - 7)Distribute -1:                 (f - g)(x) = 2x + 1 - x² + 7Combine like terms:    (f - g)(x) = -x² + 2x + 8

I'm having trouble with this...
Solve.

{y=x−63x+2y=8

Use any method.


(14, 8)

(3, -3)

(0, -6)

(4, -2)

Answers

Answer:

(4, -2) should be the correct answer.

-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3

Answers

Answer:

-1.48148148

Step-by-step explanation:

-7 x -8 = 56

-7 x -4a = 28a

25-56=-31

27a/-31

a=-1.48148148

HELP PLEASE ILL GIVE BRAINLIEST!!!!!!!!!

Answers

Nope it’s not functional

Answer:

the first questions answer is yes the seconds is no

HAVE A NICE DAY!!!

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