$4,637.10 2) ANNUITY. Suppose that you deposit $200 each month for 20 years into a retirement account earning 6% interest, and then stop making deposits and leave the money earning interest for another 10 years. a) How much will you end up with? Given: $163,198.43 b) How much did you contribute? First find actual deposit = $200 (12)(20) = ? Then SUBTRACT from part a) $71,427.85

Answer:

Step-by-step explanation:

value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16

Answer:

= 5 /1 2

Step-by-step explanation:

Answer:

D) 7.1 units³

Step-by-step explanation:

V = (3.14)(1.5)²(3/3)

= (3.14)2.25 = 7.1

Answer:

○ [tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{f(x) = 10sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) + 10} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

The cosine graph in the photograph on the right is the OPPOCITE of the cosine graph in the photograph on the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Moreover, both graphs have the same maximum and minimum value, but we are looking for the equation that will not reflect over the midline of [tex]\displaystyle y = 10,[/tex]which means we do NOT want a negative in front of the amplitude value, therefore we have this equation:

[tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

If you are having trouble figuring out which graph is which, just remember that the parent function of [tex]\displaystyle y = cos\:x[/tex]never touches the origin unless it shifts one unit south or gets reflected from somewhere. In this case, the photograph on the left touches the origin because of a reflection [negative symbol], therefore the photograph on the right matches the equation selected.

I am delighted to assist you at any time.

The correct function is,

⇒ y = 10 cos (π/2x) + 10

A relation between a set of inputs having one output each is called a function.

Given that;

A cosine function has a period of 4.

Since, The period is 4.  

Hence, The relationship between period and b (the coefficient of the independent variable of the cosine function) is, (period) =(2π/b).  

Hence, We get;

⇒ 4b = 2π

⇒ b = 2π/4

⇒ b = π/2

So, Now our equation y = a cos (bx) + c becomes as;

⇒ y = 10 cos (π/2x) + 10

Thus, The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

Answer:

102 cm2

Step-by-step explanation:

First you want to find the area of the entire rectangle by multiplying the 2 sides.

20cm x 6cm = 120

Then you want to find the area of the other two shapes (in this case the square and triangle). Also use the other sides to find the lengths of the triangle.

Square = 3 x 3 = 9

triangle = 6 x 3 = 18 / 2 = 9

So then all you have to do is subtract the squares and triangles area from the total rectangle.

120 - (9 + 9)

120 - 18

102 cm2

Hope this helps! Feel free to message me for anymore help!

Answer:

>

Step-by-step explanation:

open means its not equal to and it pointing to the right so your inenquality has to point to the right

Answer:

Probability [selected donuts a jelly-filled donut] = 2 / 23

Step-by-step explanation:

Given:

Total number of donuts = 92

Number of jelly-filled donuts = 8

Find:

Probability [selected donuts a jelly-filled donut]

Computation:

Probability [selected donuts a jelly-filled donut] = Number of jelly-filled donuts / Total number of donuts

Probability [selected donuts a jelly-filled donut] = 8 / 92

Probability [selected donuts a jelly-filled donut] = 2 / 23

Answer:

Step-by-step explanation:

Given equation of a straight line is,

y = -4 - 2x

Domain of the line (x) → {-3, -2, -1, 0, 1}

Therefore, range for the given set of domain will be,

Range (y) → {2, 0, -2, -4, -6}

[By substituting the value of x in the given equation we get the value of y]

Set of scatter points are,

(-3, 2), (-2, 0), (-1, -2), (0, -4), (1, -6)

Now we plot these points to get the discrete graph as attached.

Answer:

count all the boxes it covers(that is your area)

answer : 27

Step-by-step explanation:

Answer:

451.92

Explanation:

(Please tell me if this is wrong, or if you want the equation or something)

Answer:

x>4

Step-by-step explanation: Khan Academy

Answer:

21 + 19 + x

40 + x

Step-by-step explanation:

well you would just add up 21 + 19 + x. that would be 40 + x. That would be the number of miles

Answer:

-7,3

Step-by-step explanation:

look at the pictire

Answer:

I think 90°

Step-by-step explanation:

I was not good in maths that's why I'm not sure about this answer

Answer The small triangles each have an area of 12m^2 and the big rectangle had an area of 80m^2. This would mean that the combined area is 104m^2

Step-by-step explanation: The rectangle shape can be found by multiplying 8 by 10 to get 80m^2. The two triangles can be found by multiplying 4 (half of 8) by 6 and then dividing it by two. This would mean that the small triangles each have an area of 12.

Answer:

A

Step-by-step explanation:

-4(x^2+14x+49)-6

-4x^2-56x-196-6

-4x^2-56x-202

Answer:

F(x)=-4x^2 - 56x - 202

Step-by-step explanation:

Answer:

The amount of money they will spend at the restaurant is $35.16

Step-by-step explanation:

From the information given in the question, we have;

The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30

The amount they wished to leave as tip, T = 20% (of the bill)

Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;

A = X + T

T = 20% of X = 20/100 × X = 0.2·X

∴ A = X + 0.2·X = 1.2·X

X = $29.30

A = 1.2·X = 1.2 × $29.30 = $35.16

The amount of money they will spend at the restaurant, A = $35.16

Answer:

slope is -3

y-intercept is -2

Step-by-step explanation:

put into slope-intercept form which is y = mx + b where 'm' is slope and 'b' is the y-intercept

12x + 4y = -8

4y = -12x - 8

y = -12/4x - 8/4

y = -3x - 2 (simplified)

Answer: he would save15,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

54 / 6= 9  

9 points per minute

9 score is the answer ok plz give me brilliant

Answer:

235 sq. cm

Step-by-step explanation:

Split into three different shapes

18*3=54

15*6=90

13*7=91

54+90+91=235

Answer:

C. A parallelogram, and then rectangle

Answer: D the final mean is higher than the original

Step-by-step explanation:

90+85+98+60+84+78/6= 82.5 as the original mean

dropping 60 which is the lowest grade means 90+85+98+84+78/5=87 which means the new mean is 87 which is greater than the original mean of 82.5

So the answer is D

Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

Answer:

m = 12

Step-by-step explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

Answer:

91,864

Step-by-step explanation:

you welcome

thank god me

also youre

self:):D

Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49

Answer:

Area of a trapezoid:

A=h(a+b)/2

A=2xy(4x^2y+7x^2y)/2

A=2xy(11x^2y)/2

A=22x^3y^2/2

A=11x^3y^2

So, the correct answer is the third option: A=11x^3y^2

Let me know if this helps!