PLEASE HELP! Find the accumulated value of an investment of $17,000 at 6% compounded annually for 13 years. (Please show work tho)

Answers

Answer 1

9514 1404 393

Answer:

  $36,259.78

Step-by-step explanation:

The formula for compound interest is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years compounded n times per year.

Here, you have P = 17000, r = 0.06, n = 1, t = 13.

  A = 17000(1 +0.06)^13 = 17000(2.13292826) = 36,259.78

The accumulated value after 13 years is $36,259.78.


Related Questions

what is the volume of the cone below?​

Answers

Answer:

96 pi

Step-by-step explanation:

The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.

Answer:

Volume = 96π cu. units

Step-by-step explanation:

Cone volume = πr^2h/3 where r = radius and h = height

V=π(4)^2(18)/3

V=π(16)(18)/3

V=π288/3

V=96π

Ayuda con esto de geometría

Answers

Answer:

Baba

Step-by-step explanation:

Booey

Bao Yu is completing the square to solve the polynomial equation.

x2 – x – 3 = 0

What should be her first step?

adding –x to both sides of the equation
adding –3 to both sides of the equation
isolating the first term, x2
isolating the constant, –3

Answers

[tex]\\ \sf\longmapsto {x}^{2} - x - 3 = 0 \\ \\ \sf\longmapsto {x}^{2} - x = 3 \\ \\ \sf\longmapsto 4( {x}^{2} - x) = 4 \times 3 \\ \\ \sf\longmapsto 4 {x}^{2} - 4x = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 + {1}^{2} = 12 + 1 {}^{2} \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 12 + 1 \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 13 \\ \\ \sf\longmapsto 2x - 1 = \pm \sqrt{13} \\ \\ \sf\longmapsto 2x = 1 \pm \sqrt{13} \\ \\ \sf\longmapsto x = \frac{1 \pm \sqrt{13} }{2} [/tex]

Bao Yu first step to solve the equation is,

⇒ adding –3 to both sides of the equation

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomial is,

⇒ x² - x - 3 = 0

Now,

We can solve the equation as;

⇒ x² - x - 3 = 0

⇒ x² - x - 3 + 3 = 3

⇒ x² - x = 3

⇒ x² - x + 1/4 = 3 + 1/4

⇒ (x - 1/2)² = 13/4

⇒ x - 1/2 = ±√13 / 2

⇒ x = ±√13 / 2 + 1/2

Hence, Bao Yu first step to solve the equation is,

⇒ adding –3 to both sides of the equation

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if x = 3+root8 find the value of :- 1/x

Answers

Answer:

Value is 3 - √8

Step-by-step explanation:

[tex]x = 3 + \sqrt{8} \\ \\ \frac{1}{x} = \frac{1}{3 + \sqrt{8} } \\ [/tex]

rationalise the denominator:

[tex] = \frac{1}{3 + \sqrt{8} } . \frac{3 - \sqrt{8} }{3 - \sqrt{8} } \\ \\ = \frac{3 - \sqrt{8} }{ {3}^{2} - {( \sqrt{8}) }^{2} } \\ \\ = \frac{3 - \sqrt{8} }{9 - 8} \\ \\ = 3 - \sqrt{8} [/tex]

- 6 x 8 - (4)² - (-72)

Answers

Answer:

[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]

points V W X Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ find the indicated length

21.) WX 22.) VW 23.) WY 24.) VX 25.) WZ 26.) VY

Answers

Answer:

WX=10; VW=22; WY=20; VX=32; WZ=30;VY=42

Step-by-step explanation:

1)WX=XY=XZ/2=20/2=10

2)VW=VZ-WX-XY-YZ=VZ-3*WX=52-3*10=52-30=22

3)WY=WX+XY=2*WX=2*10=20

4)VX=VW+WX=22+10=32

5)WZ=WX+XY+YZ=3*WX=3*10=30

6)VY=VZ-YZ=52-10=42

The points V, W, X, Y and Z are collinear. The indicated lengths are

[tex]WX=10\\VW=22\\WY=20\\VX=32\\WZ=30\\VY=42[/tex]

Given :

points V, W, X, Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ

Lets make diagram using the given information

The diagram is attached below

XY=YZ

XZ=20, so [tex]XY+YZ=20\\Both XY and YZ are same\\XY+XY=20\\2XY=20\\Divide \; by \; 2\\XY=10[/tex]

[tex]WX=XY=YZ \\XY=10\\WY=10\\YZ=10\\[/tex]

Now we find out VW

[tex]VW+WX+XY+YZ=52\\VW+10+10+10=52\\VW+30=52\\Subtract \; 30\\VW=52-30\\VW=22[/tex]

Now we find the indicated length

[tex]WX =10[/tex]

[tex]VW=22\\WY=WX+XY=10+10=20\\VX=VW+WX=22+10=32\\WZ=WX+XY+YZ=10+10+10=30\\VY=VW+WX+XY=22+10+10=42[/tex]

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PLZ HELP ME ASAP PLZ

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

The construction is of a perpendicular bisector, because the line in bisected and the angle formed by the bisector is a right angle.

U= a/k, for a. I really don’t get this whole topic an in depth explanation would be great thanks!

Answers

Answer:

ku=a

Step-by-step explanation:

We are given

[tex]u = \frac{a}{k} [/tex]

and we need to solve for a. First let multiply k by both sides to isolate a.

[tex]ku = a[/tex]

A ski instructor earns $997.50 for a 35-hour week. What is her hourly rate of pay?

Answers

Answer:

$28.5

Step-by-step explanation:

997.50 divided by 35 = $28.50 is their hourly rate of pay.

What is the value of x?

Answers

Answer:

is it 15.8

Step-by-step explanation:

13-16 pls I don’t understand

Answers

Answer:

13. 1

14. 42

15. 65

Step-by-step explanation:

13.

If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.

Only one number is an integer and has a reciprocal that is an integer, the number being 1.

1/1 = 1

1/1 = 1

Average:

1+1 = 2

2/1 = 1

Therefore the answer is 1.

14.

If we multiply everything by 7x, we'd get

7 + x = 49

subtract 7 on both sides

x = 42

15.

If

pg = 50 and gr = 15

then

pg + gr = 65

factoring that would give you

g(p+r) = 65

I can't see 16 but good luck!

A
1
-4
-3
-2
-1
0
00
-1
-2.
The distance AB rounded to the
nearest tenth = [?]
Hint: d = V(x2 – x1)2 + (y2 - yı)2

Answers

Answer:

2.8

Step-by-step explanation:

use the distance formula in the picture:

[tex]\sqrt{(-1-(-3))^2+((-1)-1)^2} = \sqrt{2^2+(-2)^2} = \sqrt{4+4} = \sqrt{8} = 2\sqrt{2} = 2.8284[/tex]

Answer:

AB ≈ 2.8

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 3, 1) and (x₂, y₂ ) = B (- 1, - 1)

d = [tex]\sqrt{(-1-(-3))^2+(-1-1)^2}[/tex]

  = [tex]\sqrt{(-1+3)^2+(-2)^2}[/tex]

  = [tex]\sqrt{2^2+4}[/tex]

  = [tex]\sqrt{4+4}[/tex]

  = [tex]\sqrt{8}[/tex]

  ≈ 2.8 ( to the nearest tenth )

 


A line passes through the point (0-4) and has a slope of 3/2
What is the equation of the line?
A. 3x – 2y = 8
B. 6x+4y=-8
C. 2x+4y=-1
D. 3x – 2y = 8

Answers

Answer:

y = 3/2 - 4

A. is the answer

A. 3x – 2y = 8

Step-by-step explanation:

3x – 2y = 8

-2y =8 - 3x

y = - 4 + 3/2x

y= 3/2x - 4

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] and c = - 4 , then

y = [tex]\frac{3}{2}[/tex] x - 4 ← equation in slope- intercept form

Multiply through by 2 to clear the fraction

2y = 3x - 8 ( subtract 2y from both sides )

0 = 3x - 2y - 8 ( add 8 to both sides )

8 = 3x - 2y , that is

3x - 2y = 8 ← in standard form → D

Which of the following are the correct steps to solve the equation below?
​ 5x + 9 = 39


A----Add 9 first and then divide by 5

B----Add 9 first and then multiply by 5

C-----Subtract 9 first and then divide by 5

D----Subtract 9 first and then multiply by 5

Answers

C. You get:
5x = 30
x = 6

Shannon is planning to tile a rectangular kitchen countertop that is 24 inches wide and 64 inches long. She determined that 1 tile will be needed for each 4-inch-by-4-inch region. What is the minimum number of tiles that will be needed to completely cover the countertop to its edges

Answers

Answer:

96

Step-by-step explanation:

[tex]\frac{24*64}{4*4}=96\\[/tex]

or

[tex]\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96[/tex]

The minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The number of tiles will be calculated by calculating the area of the rectangular kitchen and the area of a tile then dividing the whole area by the area of a tile.

Area of kitchen,

A(k) = 64 x 24 = 1536 Square inches

Area of a tile,

A(T) = 4 x 4 = 16 square inches.

Divide the area of the kitchen by the area of a tile.

N = 1536 / 16 = 96 tiles

Therefore, the minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

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pls help me ASAP !!!!!!

Answers

Answer:

I think that the answer is 1 to1

Pls help I am giving brainliest help me ASaP

Answers

Answer:

4

Step-by-step explanation:

4 because 4^2 = 16.

WHY IS MATH SO HARDDDD

Answers

Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on.

Andrew has a coupon for 20 % off of the price of any CD. If he purchases a CD originally priced at $16, what will the discounted price be?
Solve the above problem by using decimals.

Answers

Answer:

If you want to turn a percentage into a fraction divide by 100:

20%/100 = 0.2

0.2*16 = 3.2$

and if you want to turn a decimal into a fraction multiply by 100.

His discounted price will be 3.2$.

Have a nice day! :-)

and if you have questions please ask!

Percentage is the part of a whole given as a fraction of the hundred. The discounted price of the CD is $12.8.

Given information-

Andrew has a coupon for 20 % off of the price of any CD.

The price of the CD purchased by the Andrew is $16.

Percentage

Percentage is the part of a whole given as a fraction of the hundred.

As the Andrew has a coupon of 20 percent, the 20 percent will be off whatever he buys. Now the discount price for the $16 priced CD is equal to the 20 percent of the 16. Thus the discount is,

[tex]d=\dfrac{16\times20}{100} \\ [/tex]

[tex]d=3.2[/tex]

Thus the discount on the CD is 3.2.

Now the discounted price of the CD is equal to the difference of the price of the CD and the discount. Thus the discounted price of the CD is,

[tex]P=16-3.2[/tex]

[tex]P=12.8[/tex]

Thus the discounted price of the CD is $12.8.

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You write (5-2)÷n to represent the phrase 2 less than 5 divided by a number n. Your friend writes (5÷n)-2. Are these both reasonable interpretations? Can verbal descriptions lack precision? Explain

Answers

jhnskkakskjsmznznsnjismkznms

The correct representation is (5-2)÷n

What is expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

According to the question

2 less than 5 = 5-2

then the answer must be divided by n

=( 5-2)/n

Hence, the correct representation is (5-2)÷n.

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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

because the least popular thing that was sell at the bake sale is the corn muffins

hope this helps!!!

Which of the following phrases are inequalities?
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
5=\dfrac{55}{11}5=
11
55

5, equals, start fraction, 55, divided by, 11, end fraction

(Choice B)
B
-2<2\text{}−2<2minus, 2, is less than, 2, start text, end text

(Choice C)
C
10-6q10−6q10, minus, 6, q

(Choice D)
D
7w>5.6\cdot 10^{4}7w>5.6⋅10
4
7, w, is greater than, 5, point, 6, dot, 10, start superscript, 4, end superscript

(Choice E)
E
f-4-7>7-4-ff−4−7>7−4−f

Answers

Answer:

B,D, and E

Step-by-step explanation:

Yes

PLEASE HELP!! Which of the following demonstrates the commutative property across multiplication for 2 x 10 x 7
A.(2 x 10) x 7
B. 10 x7 x 2
C. 2 +10 x 7
D 2 x (10 x 7)

Answers

I think it’s all except for c
The answer is B
10 x 7 x 2

On her math quiz, Sandra lost 8 points for incorrect answers, but she gained 5 points for a bonus question. What is the sum iof the points Sandra lost and gained

Answers

Answer:

13

Step-by-step explanation:

i think 13 is the answer seeing that she lost 8 point,gained 5 points and they want you to find the sum of the points she lost and gained.. therefore you add since a sum is an answer you get after adding.

8+5=13

I hope this helps

What is the image of (-3,6) when reflected in the x-axis?
A. (6,-3)
B. (-3, -6)
C. (3,-6)
D. (3, 6)

Answers

The new coordinates are ( -3 , -6) , Option B is the answer.

What is meaning of Reflection ?

Reflection means to create a mirror image of an object along any axis .

The shape and size of the object remains constant while reflection.

An object of coordinate ( -3 ,6) is given

This is reflected in the x axis .

When an object is reflected along any axis , the coordinate of that axis remains the same while the coordinate of the other changes to its additive inverse .

object  ( -3 ,6) is reflected along x axis ,

( x, y) ----> ( x , -y)

The new coordinates are ( -3 , -6)

Therefore Option B is the answer.

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For people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:

Answers

There is no a that will make f(x) continuous.

No matter what value of a you pick, you will always have the one-sided limits,

[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

but f(a) = 8 regardless of a.

Help with this question please!!!!

Answers

Answer:

I think that the answer is 5

Can someone help? I also have 4 more problems.

Answers

Answer:

.0853

.8770

.9370

.0045

.4898

Step-by-step explanation:

Just go to a ztable and match the values (I've attached the one i use below)

if it's negative subtract one

if it's z># then subtract one

so for 1.37 go to the table and find the value (.8770) and subtract 1

Go to 1.16 on the z table (.8770), subtract 1 (1-.8770) and then do it again

for the last one you need to take a z value of 0 (.5) and then the value for 2.32 (.9898) and subtract them

.9898-.5=.4898

Write three integers that do not ali have the same sign that have a sum
of -20.

Answers

Well, we can use negatives and positives:
3 - 27 + 4

evaluate 3a+2b
a=2
b=3

Answers

Answer:

12

Step-by-step explanation:

3a+2b

Let a =2 and b=3

3(2) + 2(3)

6 + 6

12

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