Write a formula that describes the value of an initial investment of $4000 that loses value at a rate of 10% per year, compounded six times per year.​

Answers

Answer 1

since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.

[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]

[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]


Related Questions

if 1/5 of 100 oranges is given to Ade and 1/4 of the remaining orange is given to Hardy what fraction of the orange is left​

Answers

Answer:

3/5

Step-by-step explanation:

5/5 - 1/5 = 4/5

4/5 × 4/4 = 16/20

16/20 - 4/20 (1/4) = 12/20

12/20=3/5

I think this is right

The remaining fraction of oranges left is A = 3/5 of the total oranges

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the remaining fraction of oranges be A

And , if 1/5 of 100 oranges is given to Ade, then Ade gets:

1/5 * 100 = 20 oranges

The remaining oranges are:

100 - 20 = 80 oranges

Now , if 1/4 of the remaining oranges is given to Hardy, then Hardy gets:

1/4 * 80 = 20 oranges

So the total number of oranges given away is:

20 (Ade) + 20 (Hardy) = 40 oranges

The fraction of the oranges that is left is:

(100 - 40) / 100 = 60 / 100 = 3/5

Hence , 3/5 of the oranges are left

To learn more about fractions click :

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NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY

NO LINKS IF YOU DO NOT KNOW THE ANSWER PLEASE SKIP OVER THIS THREAD

Answers

Answer:

I think this Cyclic quadrilateral 180degree

Apply the distributive property to factor out the greatest common factor.
{25p + 50q} =

Answers

Answer:

25(p+25q)

Step-by-step explanation:

50 and 25 have 25 in common so you divide that out of the equation

How much is 240 in into ft

Answers

Answer:

How much is 240 in into ft 20 ft

Step-by-step explanation:

hope this helps

The answer is 20 ft

Divide 240 by 12
(12 inches in a foot)

Fill in the table using this function rule. Y=-5x+1

Answers

Answer:

X ∣ Y

-5 ∣ 26

-4 ∣ 21

-3 ∣ 16

-2 ∣ 11

-1 ∣ 6

0 ∣ 1

1  ∣ -4

2 ∣ -9

3 ∣ -14

4 ∣ -19

5 ∣ -24

What is the value for y when x = 8

Answers

Answer:

x+y=0

8+y=0

y=8

Step-by-step explanation:

correct me if I'm wrong

Answer:

D. 44

Step-by-step explanation:

y = (8 x 5) +4

y= 40 + 4

y= 44

can you help me for math? Statistic and Probability ! what is P(2) + P(3)?​

Answers

Answer: 1/3

You can find the complete solution in the given attachment

I hope It helped you

Help picture below problem 20

Answers

Answer:

it's.. parallelogram..

Step-by-step explanation:

mark me brainliest

Answer:

That is a parallelogram.

Step-by-step explanation:

Not a square, not a rectangle, not a trapezoid.

PLS ANSWER THIS QUESTION
I WILL MARK BRAINLIEST FASTTTTT

Answers

I believe your answer is 16

What is the answer to this? Due in 3 minutes!

Answers

The answer are
X=3
Wx=29

For Wx

7x+8
So you put the 3 in the x


7x3+8
21+8 =29


Hopefully that makes sense

Good luck

The rest is in attached
You use the formula
Wx = 1/2(uv +st )

GIVING BRAINLIEST FOR THIS ONE QUESTION, THANKS

Answers

Answer:

[tex](6\times 4)^3 = 6^3 \times 4^3[/tex]

Step-by-step explanation:

The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77ft^2 . Find the dimensions of the rectangle.

Answers

Answer:

The dimensions of rectangle are 11 feet and 7 feet.

Step-by-step explanation:

Given, The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77 ft²

Let's assume width of rectangle be x feet and Length of rectangle be 3x - 10. Using the formula of area of the rectangle we'll find the dimensions of the Rectangle.

[tex] \\ \dashrightarrow{ \red{\underline{\underline{\sf{Area (rectangle) = Length \times width }}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \: \: (3x-10)(x) = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 - 10x = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 -10x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \:3x^2 + 11x -21x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \: x(3x+11)-7(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: (x-7)(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: { \red{\underline{\underline { x = 7 \: or \: \dfrac{-11}{3}}}} } \\ \\ [/tex]

Hence,

Width of rectangle = x = 7 feetLength of rectangle = 3x -10 = 3(7) - 10 = 11 feet

[tex] \therefore[/tex] The required dimensions of rectangle are 11 feet and 7 feet.

The dimensions of the given rectangle with an area of 77 ft^2 and given dimensions are; Length = 11 ft and Width = 7 ft

How to find the Area of a rectangle?

Formula for area of a rectangle is;

A = Length * Width

We are given;

Length; L = 3W - 10

Thus;

Area; A = W(3W - 10)

Thus;

W(3W - 10) = 77

3W² - 10W - 77 = 0

Using online quadratic equation calculator, we have;

W = 7

Thus;

L = (3*7) - 10

L = 11 ft

Read more about Rectangle Area at; https://brainly.com/question/13048427

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help me please.........​

Answers

Answer:

um 21

Step-by-step explanation:

8r^2(r^2-2) polynomial I’m standard form expand

Answers

Answer:

  8r^4 -16r^2

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Write the result in order of decreasing powers of the variable.

__

  8r^2(r^2 -2) = (8r^2)(r^2) +(8r^2)(-2)

  = 8r^4 -16r^2

If Jyoti has 266 followers in 160 post's so how much followers should he gain in 1 post​

Answers

Step-by-step explanation:

160 posts = 266 followers

then,

1 posts = 266/160

= 2.50 followers

NEED HELP ASAP
!!!!!!!

Answers

Answer:

P = 184 yards

C = 175.84 centimetres

P = 212 m

Step-by-step explanation:

P = 2(150 yards) + 2(92 yards)

P = 300 yards + 184 yards

P = 184 yards

C = 2(3.14) × (28 centimetres)

C = 6.28 × (28 centimetres)

C = 175.84 centimetres

P = 104 m + 32 m + 76 m

P = 212 m

Evaluate x3 - x + x0 for x = -1.

Answers

substitute (-1)3-(-1)+(-1)0
multiply (-3)+1+0
simplify. -2

Final Answer: -2

Question 20 (20 points) Find the area of the figure, round your answer to one decimal place if ne Area = Unit = A) yd B) yd2 C) yd3 6 yd 6 yd 18 yd ​

Answers

Step-by-step explanation:

a circle with r=6 so the area for the circle is π*r^2

and the area for the rectangle in the meddle is 18*12 which 12 is the height of the rectangle

and the area for that shape equals the area for the circle plus the area for the rectangle

Find the area of the polygon

Answers

Answer:

answer is 40

hope it helps

Mike is saving up for a bike. He is saving up $785. He has 635 and needs to spend 356 for food for his graduation party. How much will he have once he buys food and how much more will need for his bike.

A 278 Left & 567 More

B 423 Left & 821 More

C 279 Left & 506 More

D 144 Left & 296 More

Answers

Answer: C

Step-by-step explanation:

635 - 356 = 279

279 + 506 = 785

         $785

Which letter on the number line represents one and eighty five hundredths?

A number line partitioned into tenths, starting at zero and ending at five. There are nine tick marks between each whole. There is a dot labeled A between the fifth and sixth tick mark after zero. A dot labeled B is between the eighth and ninth tick mark after one. A dot labeled C is between the fourth and fifth tick mark after 2. A dot labeled D is between the second and third tick mark after 3. A dot labeled E is between the seventh and eighth tick mark after three. A dot labeled F is between the fifth and sixth tick mark after four.

A
B
C
D

Answers

Do you think you could attach a photo?

Help help math math math

Answers

Answer:

the answer to your question is -27

Answer:

-27

Solution:All we have to do here is subtract:-19-8Think of it as 19+8:27Now, put the minus sign next to 27:-27

Hope it helps.

Do comment if you have any query.

Carter Is organized text book on his bookshelf. He had an English textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbook up on his bookshelf

Answers

Carter can line the books up on his bookshelf in 24 different ways.

Help. Please asap rn.

Answers

Answer:

Area = 12 + 6.25π ft², Perimeter = 6 + 5π ft

Step-by-step explanation:

Area:

So I would break this shape into a triangle and a circle (the two semi-circles make a full circle).

Formula for Area of a Triangle: base · height ÷ 2

6 · 4 ÷ 2 = 24 ÷ 2 = 12

Formula for area of a circle: π · radius²

π · (5/2)² = 6.25π

Area of entire shape: Triangle + Circle

Area = 12 + 6.25π ft²

Perimeter:

So the perimeter is made up of the base of the triangle plus the circumference of the circle.

Base of Triangle: 6

Formula for circumference: 2rπ

5 · π = 5π

Perimeter = 12 + 5π ft

What is the approximate area of a dart board with a diameter of 18 inches? Use 3.14 for π . Round to the nearest hundredth if necessary.

Answers

Diameter of the dartboard as given in the question = 18 inches. Then. Radius of the dartboard will be = 18/2 inches. = 9 inches.

What is the area of parallelogram ABDC?



9 cm 2
12.25 cm 2
7 cm 2
12 cm 2

Answers

Answer:

I guess it is 9 cm²

Step-by-step explanation:

Hope it helps.....

Order the integers from greatest to
least: 4, -3, 0, 8, -5.
A 5, 3, 0, 4,8
B 3.-5, 0. 4.8
8, 4.0, 3, 5
D 0, -3, 4, 5,8

Answers

Answer:

8, 4, 0, -3, -5

(greatest to least order)

-Answer: C-

Step-by-step explanation:

8 is positive so its greatest

-5 is negative but it is farthest away from 0 so it is least

Need help answering this

Answers

You just have to substitute 2 into t.

f(t) = 40 + 6 = 46

The answer is 46

Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)

Answers

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

(-8,3) (-2,5)

Distance Formula :

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

We have :

x1 = -8 x2 = -2 y1 = 3 y2 = -5

Substituting the values :

Refer the attachment.Additional Information :

Centroid of a triangle :-

[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]

Midpoint of two points:-

[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]

Select all of the equivalencies
1/4=5/10
8/5=8/5
9/8=7/8
1/2=6/12
7/3=7/3
9/10=10/9

Answers

Answer:

8/5 = 8/5

1/2 = 6/12

7/3 = 7/3

Step-by-step explanation:

1/4=5/10

5/10 = 1/2

False

8/5=8/5

True

9/8=7/8

False

1/2=6/12

6/12 = =1/2

True

7/3=7/3

True

9/10=10/9

False

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