6. Interest is compounded semianually. Find the amount in the account after the given time.

6. Interest Is Compounded Semianually. Find The Amount In The Account After The Given Time.

Answers

Answer 1

The amount in the account after the given time if compounded semiannually is $1104.2

Compound interest

Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:

A = P(1+r/n)^nt

Given

P = $1000

rate r = 0.05

time =3years

n = 2

Substitute

A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2

Hence the amount in the account after the given time if compounded semianually is $1104.2

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Related Questions

Can someone help with this?

Answers

Answer:

4 < n < 130.

Step-by-step explanation:

n is a positive integer

n^100 > 2^200

2^2*100 = 2^200

4 ^100 = 2^200

So n > 4

(130n)^50 > n^100

130^50 * n^50 > n^100

130^50 > n^50

130 >n

so n < 130.

If it takes 2/3 hours to paint 2/5 room how many hours does it take to paint one room

Answers

Step-by-step explanation:

2/3 hours for 2/5 room.

that means

5×2/3 = 10/3 hours for 5×2/5 = 2 rooms

and then 1 room in 10/3 / 2 = 5/3 hours

witch value from the set {3,8,9,14} makes the euation true 2n-5=

Answers

The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

2n - 5 = 11

When n = 3:

2(3) - 5 = 1 ≠ 11

When n = 8:

2(8) - 5 = 11

When n = 9:

2(9) - 5 = 13

When n = 14:

2(14) - 5 = 23

The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8

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rek is attending a four-year college. His tuition for one year derek is attending a four year college.his tuition for one year is $12,400 and his family is going to contribute $4,120.
w much does Derek need to save each month his junior and senior year of high school (two full years) to pay for the first year at
four-year college?
A. $516.67
B. $345.00
C. $172.50
D. $258.34

Answers

The correct answer is B.

The tuition is $12,400
His family pays $4,120
12,400 - 4,120= 8,280
8,280 divided by 24(months)= $345

6.) A voicemail system password is 1 letter
followed by a 3-digit number less than 600.
How many different voicemail passwords are
possible?

Answers

Answer:

15600

Step-by-step explanation:

26 x 6 x 10 x 10 = 15600

There are 15600 different possible choices of voicemail passwords.

What is a permutation?

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

According to the fundamental counting principle, there are 26 choices of letters and 600 different digits of numbers,

So, the Count of possibilities as

⇒ 26 x 600

15600

Hence, there are 15600 different possible choices of voicemail passwords.

y²+y-20 can sb answer this

Answers

Answer:

STEP ONE.

Use the sum-product solution.

y² + y - 20

y² + 5y - 4y - 20

STEP TWO.

Common factors from the pairs.

y² + 5y - 4y - 20

y (y + 5) - 4 (y + 5)

STEP THREE.

Rewrite in factored form.

y (y + 5) - 4 (y + 5)

(y - 4) (y + 5)

SOLUTION

(y - 4) (y + 5)

Step-by-step explanation:

hope this helped !! good luck and make sure to always stay safe and happy !

you got this !!

(y + a)(y + b) = y^2 + (a + b)y + ab
We need two factors of -20 that sum to +1
That would be 5 and -4
y^2 + y - 20 = (y + 5)(y - 4)

What is the most prescise classification of this shape?

Answers

Answer:

the answer for this question isnparallelogram

Answer:

Parallelogram

Step-by-step explanation:

HELP ME PLS!!!!!!!!!!!!!!!! I NEED HELP ASAP CUZ I NEED TO GO SOMEWHERE!

Answers

Answer:

D 2,5

Step-by-step explanation:

have a good day and don't copy me

A spool with 18 feet of ribbon will be cut into 8-inch segments. how many 8-inch segments can be cut from the spool of ribbon?

Answers

Answer:

27

Step-by-step explanation:

First, we convert 18 ft to inches.

18 × 12 in. = 216 in.

Now we divide 18 ft written as 216 in. by 8 in.

216 in. / 8 in. = 27

Answer: 27

Sabine rode on a passenger train for 480 miles between 10:30 A.M. and 6:30 P.M. to visit
a friend in a different city.
Part A
Calculate the train's average speed while Sabine was riding.
Answer
miles per hour

Answers

Answer:

60

Step-by-step explanation:

630 minus 1030 is 8 hours

480 divided by 8 is 60

Expand and simplify (5x+2)(2x+3)

Answers

Answer:

10ˣ² +19ˣ + 6

Step-by-step explanation:

5ˣ(2x + 3) + 2 (2x + 3 )

10x² + 15x + 2(2x + 3 )

10x² + 15x + 4x + 6

= 10x² + 19x + 6

(5x+2)(2x+3)

5x(2x+3) + 2(2x+3)

10x^2 + 15x +2(2x +3)

10x^2 + 15x + 4x +6

Add like terms

15x + 4x= 19x

10x^2 +19x +6

The circumference of a circle is 24 feet. What is the approximate length of the radius? Round to the nearest tenth​

Answers

given:

circumference= 24 feet

to find:

the radius of the circle.

solution:

[tex]c = 2\pi \: r[/tex]

[tex]r = \frac{c}{2\pi} [/tex]

[tex]r = \frac{24}{2 \times \pi} [/tex]

[tex]r = 3.81972[/tex]

[tex]r = 3.8 \: ft[/tex]

therefore, the radius of the circle is 3.8 feet.

Answer:

3.80

Step-by-step explanation:

The circumference has /pi and diameter

lets just say pi is 3.14

24/3.14 = 7.64

that means the diameter is 7.64

Radius is half, or 1/2 of the diameter

7.64/2 = 3.82

radius = 3.82

3.82 rounded is 3.8

please help with the picture below

What value of X will make line 1 parallel to line 2

A. 32
B.58
C.72
D.148

Answers

Answer:

Step-by-step explanation:

Remark

The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20  must equal 52. That's all you have to do. Just equate the 2 givens and solve.

Givens

x - 20 is one angle

52 is the other.

Solution

x - 20 = 52                   Add 20 to both sides.

x - 20 + 20 = 52 +20   Combine

x = 72

Answer: C

Jada recorded the heights of the plants she's growing in her garden. This line plot shows what she recorded.

How much taller is one of the tallest plants than one of the shortest plants?

Answers

The tallest plant is  [tex]1 \dfrac{3}{4}\ inches[/tex]   timed taller than the shortest plant.

What is graphical analysis?

The finding of the conclusion by reading the data on the graph is termed as the graphical analysis.

Given:

The line plot below shows the heights of flowers in a garden.

To Find:

How much taller is the tallest flower than the shortest flower?​

The solution will be:

Knowing that each dot represents it's heights.

Let's makes a table:

[tex]6 \dfrac{1}{2} =OO[/tex]

[tex]6 \dfrac{3}{4} = O[/tex]

7 ⇒ ОООО

[tex]7 \dfrac{1}{4} == > OOOOOO[/tex]

[tex]7 \dfrac{1}{2} = OOOO[/tex]

[tex]7 \dfrac{3}{4} = OO[/tex]

8 ⇒ none

[tex]8 \dfrac{ 1}{4} = O[/tex]

[tex]8 \dfrac{1}{2}[/tex] ⇒ none

It's also given that the tallest flower and the shortest flower.

Which is:

Smallest → [tex]6 \dfrac{1}{2}[/tex]

Tallest → [tex]8 \dfrac{1}{4}[/tex]

Now all we have to do is subtract tallest flower from the shortest flower.

[tex]8 \dfrac{ 1}{4} - 6\dfrac{ 1}{2}[/tex]

Break off 1 from 8 : 8 1/4 = 7 5/4

Now we have:

[tex]7 \dfrac{5}{4} - 6\dfrac{ 1}{2}[/tex]

Subtract whole number: 7 - 6 = 1

Combine fraction:

[tex]\dfrac{5}{4} - \dfrac{1}{2} = \dfrac{3}{4}[/tex]

[tex]=1 + \dfrac{3}{4}[/tex]

Hence the tallest plant is  [tex]1 \dfrac{3}{4}\ inches[/tex]   timed taller than the shortest plant.

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What is the slope of a line parallel to the line whose equation is x+2y=-14x+2y=−14. Fully simplify your answer.

Answers

Answer:

x+2y=-14x+2y=-14

x+14x+2y-2y=-14

15x+0=-14

15x=-14

15x/15=-14/15=-7/5

x=7/5.

Step-by-step explanation:

Before you start calculating the following . You need to group like terms .Also when you are moving the numbers to the other side and it is negative you need to change it to positive . Also when you are changing it to the other side and it is positive you need to change it to negative.Thank you for the question

Which expression represents “12 less than the product of n and 5”?

Answers

        - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

               Which expression represents "12 less than the product of n and 5"?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

12-5n

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                        First of all, the "product" indicates that you multiply these           numbers.

Here we are asked to multiply a number n times 5. This can be written as follows:

[tex]\red{\textsf{\textbf{5n}}}[/tex]

Now, "12 less" indicates that we subtract 12 from something; in this case, this "something" is 5n:

[tex]\red{\textsf{\textbf{\underline{\underline{12-5n}}}}[/tex]

Good luck.

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25

Answers

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

I Need help Really bad

Answers

Answer:

  7776π in³

Step-by-step explanation:

You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.

__

radius

The area of the sphere is given by the formula ...

  A = 4πr²

Solving for r, we find ...

  A/(4π) = r²

  √(A/(4π)) = r = √(1296π/(4π)) = √324 = 18

The radius of the sphere is 18 inches.

__

volume

The volume formula is ...

  V = 4/3πr³

Using the found radius, we find the volume to be ...

  V = 4/3π(18 in)³ = 4/3(5832)π in³

  V = 7776π in³

x^8+x^4+1−(24)(7)−45 simplify ​

Answers

given:

[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]

to find:

the simplest form.

solution:

[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]

[tex] = {x}^{8} + {x}^{4} + 1 - 168 + - 45[/tex]

[tex] = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)[/tex]

[tex] = {x}^{8} + {x}^{4} - 212[/tex]

can i get some help please the ordered pair (__ __) represents the cost of 6 pounds of noodles

Answers

Pounds of noodles is along the bottom which is the X value. The cost is on the side which is the y value.


6 pounds would be the x, find the cost on the graph, which is shown but the dot, 15


answer : (6,15)

4 Write a recursive formula for the sequence below.
f(1) = 3, f(2) = 7, f(3)=11, f(4)=15

Answers

Answer:

aₙ = aₙ₋₁ + 4

Step-by-step explanation:

Finding the common difference (d) :

d = f(2) - f(1)d = 7 - 3d = 4

Hence, the recursive formula :

aₙ = aₙ₋₁ + 4

A polygon is graphed in the coordinate plane. The coordinates of the polygon's vertices are listed.
(2, 2)
(-6, 5)
(-6, -4)
(0,0)
which graph shows the polygon?

Answers

The coordinates (2, 2),(-6, 5),(-6, -4),(0,0) are well defined in the Graph 4.

The correct option is (D)

What is a Graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given Coordinates are: (2, 2),(-6, 5),(-6, -4),(0,0)

The above coordinates are well defined in the Graph 4.

Hence, the correct graph is (d)

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the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.

Answers

Answer:

x = 348

Step-by-step explanation:

From the given we can tell it a supplementary angle.

Don't know what supplementary angle is?

Supplementary angle are angles that :

Equal 180 °

Solve:  

Since,

∠ABD is (0.18x+54)°

∠CBD is (0.07x+39)°

Thus,

(0.18x+54) + 0.07x + 39 = 180

Group likes terms:

0.25x + 54 + 39 = 180

0.25 + 93 = 180

Subtract 93 from both sides

0.25x = 87

x = 348

Check Answer:

0.18(348) + 54 + 0.07(348) + 39

= 180

use the diagram below to solve for x

Answers

Answer:

see the attachment!

#CarryOnLearning

What is the missing angle? (Please use image attached)

Answers

Answer:

56

Step-by-step explanation:

Since vertical angles are equal, we know the two angles labeled are equal.

We can then set up an equation to get

[tex]19x-28=9x+52.[/tex]

Subtracting [tex]9x[/tex] from both sides to isolate the variable gives us

[tex]10x-28=52[/tex].

Then, adding [tex]28[/tex] to both sides gives

[tex]10x=80,[/tex]

and dividing both sides by 10 gives

[tex]x=8.[/tex]

Now, we can find the measure of [tex]9x+52[/tex] by plugging what we found for [tex]x[/tex] in:

[tex]9(x)+52=9(8)+52=72+52=124.[/tex]

Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have

[tex]?=180-(9x+52)=180-124=\boxed{56}.[/tex]

$3000 principal earning 5%, compounded semi-annually, after 20 years.

Answers

Answer:

$ 8055.19

Step-by-step explanation:

interest per period   .05 /2 = .025

periods = 20 * 2 = 40 periods

3000 ( 1+.025)^40 =

What is the volume?
8 in
8 in
8 in
cubic inches

Answers

ANSWER

512 cubic inches



EXPLANATION

Since the formula for volume is LWH 8*8*8 is 512. So your answer is 512.

does someone mind helping me with this question? Thank you!

Answers

Answer:

I dont mind :D These were my favorite! They are actually really simple. Dont overthink it. It even gave you a hint!

It says a^2 + b^2 = c^2

We can substitute what we do have which is a = 10 and c = 15

10^2 + b^2 = 15^2

Now we square it

100 + b^2 = 225

Next, all we have to do is subtract the 100 from our answer so 225-100 which is 125, so b has to be 125!!! Because 125 + 100 is 225 :D

Step-by-step explanation:

Given:Hypotenuse ( c )= 15Side 1 ( a )= 10To find:

The length of "b" using Pythagoras Theorem.

Solution:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {10}^{2} + {b}^{2} = {15}^{2} [/tex]

[tex]b = {15}^{2} - {10}^{2} [/tex]

[tex] {b}^{2} = 125[/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = 11.18033989[/tex]

[tex]b = 11.2 \: (nearest \: tenth)[/tex]

Therefore, the length of "b" is 11.2

Find the value of

484 ÷ 44 × 6 × 4 = ___

Answers

Answer:

the anwser is 264

Step-by-step explanation:

484 divieded by 44 = 11

11 times 6 = 66

66 times 4 = 264

Answer:

The answer is 264 pls mark me brainliest

Step-by-step explanation:

Can somebody please help

Answers

Answer:

It is the third one.

Step-by-step explanation:

h=V/πr² because when you transpose for h, you will be dividing both sides by πr², leaving you with h on one side, and V/πr² on the other. I don't know if this is detailed enough.

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