Yoko deposited $4000 into an account with 5.8% interest, compounded semiannually. Assuming that no withdrawals are made, how much will she have in the account after 8 years?
Do not round any intermediate computations, and round your answer to the nearest cent.

Answer:

[tex]a_n=33+6n[/tex]

Step-by-step explanation:

General form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

Given terms:

To find the common difference, subtract a term from the next:

[tex]d=a_3-a_2=51-45=6[/tex]

Substitute [tex]a=39[/tex] and [tex]d=6[/tex] into the formula:

[tex]\implies a_n=39+6(n-1)[/tex]

[tex]\implies a_n=39+6n-6[/tex]

[tex]\implies a_n=33+6n[/tex]

Answer:

44,15,29

Step-by-step explanation:

8 + 11 + 25 + p=

simplify

44 + p

8 + 11 + 25 + p = 15

p=29

but your real answer for p is p= 44

Answer:

(x4 36) I didn't that is .   or + so I solved it on +

Hope that what you looking for :)

Step-by-step explanation:

BY Using the long divison method,  x⁴ + 36 is divided by x² - 8 is 100

Dividend = x⁴ + 36

Divisor = x² - 8

_____x²+8

x² - 8 | x⁴ + 36

| x⁴ - 8x²

-8x² + 36

8x² - 64

_100

The remainder is calculated as (36 - (-64)) = (36 + 64) = 100

Therefore, the remainder is 100

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,

[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]

Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

Learn more about Expression:

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Answer:

240

Step-by-step explanation:

30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps

The equation of the line in point-slope form is: y - 12 = -4/5(x - 5).

It is given as, y - b = m(x - a), where (a, b) is a point on the line and m is the slope of the line.

Rewrite 5x-4y=10 in slope-intercept form:

-4y= - 5x + 10

y= -5x/-4 + (10/-4)

y = 5/4x - 5/2

The slope is 5/4

The line that is perpendicular to 5x-4y=10 will have a slope which is the negative reciprocal of 5/4, which is -4/5.

Substitute (5, 12) and -4/5 into y - b = m(x - a):

y - 12 = -4/5(x - 5) [point-slope form]

Learn more about point-slope form on:

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Answer:

[tex]3\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

We could use the combined rate equation to find the combined rate of work.

Combined rate of work formula: [tex]\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }[/tex], where [tex]t_{1}[/tex] is the individual time for object A, [tex]t_{2}[/tex] the individual time for object B and [tex]t_{b}[/tex] is the time for A and B together.

The time it takes Irina to paint the room alone, [tex]t_{1}[/tex] = 5 hours

The time it takes Paulo to paint the room, [tex]t_{2}[/tex] = 10 hours

1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change [tex]t_{b}[/tex] into an [tex]x[/tex].

[tex]\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }[/tex]

2) Add the fractions.

[tex]\frac{1}{x} = \frac{3}{10}[/tex]

3) Solve for the [tex]x[/tex].

[tex]x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\[/tex]

4) Change them into a mixed fraction.

[tex]3\frac{1}{3}[/tex]

Note: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex] are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose [tex]3\frac{1}{3}[/tex].

Answer:

answer can be any numbers but I will choose

x = 50° and y =130°

Step-by-step explanation:

We know all the inner degree of rhombus =360°

Then, x+y+x+y = 360°

or,2x + 2y = 360°

or, 2(x + y) = 360°

or, x + y = 360°/2

or,x + y = 180°

Let x = 50° then

50° + y = 180°

or, y = 180° - 50°

or, y = 130°

Answer:

$3172.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Graph the cubic using its end behavior and a few selected points.

Falls to the left and rises to the right

x    y

-2   20

-1    16

0  0

1  -16

2  -20

Answer:

Your dog weighs 9.97903kg.

Step-by-step explanation:

[tex]1lb = 0.453592kg[/tex]

[tex]22lbs * 0.453592kg/lbs = 9.97903kg[/tex]

[tex]\huge\fcolorbox{blue}{yellow}{Answer:}[/tex]

══════════════════════

Answer:

[tex] = n\geq -64 [/tex]

Solution:

[tex]\frac{ 3 }{ 4 } n+12 \geq -36[/tex]

[tex]\frac{3}{4}n\geq -36-12 [/tex]

[tex]\frac{3}{4}n\geq -48 [/tex]

[tex]n\geq -48\times \left(\frac{4}{3}\right) [/tex]

[tex]n\geq \frac{-48\times 4}{3} [/tex]

[tex]n\geq \frac{-192}{3} [/tex]

=[tex]n\geq -64 [/tex]

═════════════════════

Explanation:

#Carry on learning

Answer:

Positive association Hope this helps

The system of equations that represents the situation is given by:

C. x² – 2y ≥ 5000, 2x + 5y < 1000

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:

x² – 2y ≥ 5000

The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:

2x + 5y < 1000

This means that option C is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

x2 – 2y ≥ 5000

2x + 5y < 1000

Step-by-step explanation:

I got it right on the test.

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

Answer:

Q=(2,4)

R=(3,1)

S=(5,3)

Step-by-step explanation:

The x value stays the same when reflecting in the x axis

And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.

Please give brainliest :)

Answer:

V = 104 in³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = lbh ( l is length, b is breadth, h is height )

here l = 13 , b = 2, h = 4 , then

V = 13 × 2 × 4 = 26 × 4 = 104 in³

The total surface area of the three figures are 702 square feet.

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the total surface area ([tex]A_{T}[/tex]), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (n), no unit, and the surface area of each piece (A).

Now we proceed to calculate the total surface area:

[tex]A_{T} = n\cdot A[/tex]

[tex]A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\[/tex]

[tex]+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ][/tex]

[tex]A_{T} = 702\,ft^{2}[/tex]

The total surface area of the three figures are 702 square feet. [tex]\blacksquare[/tex]

To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293

Answer:

35.53 meters = circumf

Step-by-step explanation:

76 degrees out of 360 degrees = 7.5 m

76 / 360    * x   = 7.5

x = 35.53 m

Answer:

25.12 yd

Step-by-step explanation:

Radius (r) = 4 yd

π = 3.14

Circumference of the circle

= 2πr

= 2 × (3.14) × (4)

= 25.12 yd

_________

Hope it helps ⚜

Answer:

25.12 yards

Step-by-step explanation:

Circumference formula : 2πr

Solving

Step-by-step explanation:

it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7

so, we can assume that the sequence is created by always subtracting 7.

a1 = 352

a2 = a1 - 7 = 352 - 7 = 345

a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338

an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)

a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58

Equally likely refers to two or more possible outcomes of a given situation that have the same probability or the same likelihood to occur. For example, if you throw a die, there are six possible outcomes. You could get 1, 2, 3, 4, 5, or 6. These outcomes are equally likely to occur.

[tex]\pi = 180[/tex]

[tex] \frac{17 \times 180}{12} = \frac{3060}{12} = 255[/tex]

Answer:

The value of x is 55⁰.

Step-by-step explanation:

Let n be X,

(n+7)⁰+(3n-47)⁰=180⁰

or,n+7+3n-47=180

or,4n-40=180

or,4n=180+40

or,4n=220

or,n=220/4

.:n=55⁰##

Answer:

Letter C

Step-by-step explanation:

A function has to have no repeating x-intercepts.

Answer:

1:6 is the answer

Step-by-step explanation:

If X is equal to 1, Y would equal 6...

Because X is /3 of half of Y

so if Y is 6 then divide by 2 then divide by 3 to get 1

the reverse... (X x 3) x 2 = Y

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

3x + 5x = 720

8x = 720

x = 90

1st) 3x = 3 x 90

270

2nd) 5x = 5 x 90

450

Answer:

0.1042, 10.42%

Answer:

Part A:

x > 13

Part B:

How to show this inequality on a number line is a closed circle on 13, going left of 13.

Step-by-step explanation:

Part A:

x represents the age of children who are allowed to operate the boat.

Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,

the inequality x > 13 reads x (the age of children) is greater than or equal to 13

Part B:

How to describe inequalities on a number line;

Closed circle: less than or equal to - or - greater than or equal to ( < , > )

Open circle: less than - or - greater than ( < , > )

To the right of the number on the number line: greater than

To the left of the number on the number line: less than

Answer:

Part A

Let x = age of child (in years)

Given:

"Children under the age of 13 are not allowed to operate a boat"

Therefore, children should be 13 or older:

⇒ x ≥ 13

Part B

Place a closed circle at 13.

Shade to the right of the closed circle.