Can anybody help me with these three problems thank you

Answer:

(5.33) the answer but I am not sure

Answer:

Step-by-step explanation:

Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

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

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

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Answer:

5 b^ 3 √ a

Step-by-step explanation:

Break up the radicand up into a product of known factors assuming positive real numbers.

Answer:

The 37th term is 136.

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

The formula for arithmetic sequence is

[tex]an = a1 + (n - 1)d[/tex]

where,

an is the nth term,

a1 is the first term,

n is the term number and

d is the common difference

Find the 37th term.

an = a1 + ( n-1 ) d

a37 = 460 + ( 37-1 ) -9

a37 = 460 + ( -324 )

a37 = 136

The slope of a line is the average rate of change of the line.

The slope of the line would be 45

From the question, we understand that she can swim 90 meters in 2 minutes.

So, the slope (m) of the line of the graph would be

[tex]m=\frac{90 - 0}{2 - 0}[/tex]

Simplify the numerator, and the denominator

[tex]m=\frac{90}{2}[/tex]

Divide 90 by 2

[tex]m=45[/tex]

Hence, the slope of the line would be 45

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Answer:

1.6 divided by 8 is 0.2

Step-by-step explanation:

Answer:

angle 4 is also 75 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = [tex]\sqrt{400 - b^2}[/tex]

A = bh

A = b[tex]\sqrt{400 - b^2}[/tex]

Area will be maximized when the derivative is set to zero

           dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

                   0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

b²/[tex]\sqrt{400 - b^2}[/tex] =  [tex]\sqrt{400 - b^2}[/tex]

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = [tex]\sqrt{200}[/tex]

h = [tex]\sqrt{400 - b^2}[/tex]

h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]

h = [tex]\sqrt{200}[/tex]

A = bh

A =  [tex]\sqrt{200}[/tex]•[tex]\sqrt{200}[/tex]

A = 200 units²

Answer:

122 degrees

Step-by-step explanation:

The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.

Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.

When keeping these two things in mind, you can solve like this:

180 = angle3 + 58

180 - 58 = angle3

angle3 = 122

122 degrees

Answer:

Every eight weeks, James skis 64 miles and swims 96 miles.

Step-by-step explanation:

12×8=96

8×8=64

Answer:

-5x+173

Step-by-step explanation:

x+4x+7      (sum of the 2 angles that you know)

5x+7

180-5x+7

-5x+173

Answer:

read step-by-step explanation

Step-by-step explanation:

it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100

Answer:t=10.05s

Step-by-step explanation:

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

Answer:

x=1.88

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

You simply apply the distance formula:

[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(5-0)^2+(-12-0)^2} = \sqrt{25+144}=\sqrt{169}=13[/tex]

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

The constant of proportionality is y=kx which should 2.4

Answer:

84

Step-by-step explanation:

Total episodes to watch = (100 - 30)% = 70%

Finding 70% of 120

70/100 × 120

7 × 12

84

Answer: A. 40

Step-by-step explanation:

Answer:

I am not exactly sure of the answer, i am just trying to help

I think the angle O is 135

The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.

I dont know if you understan what i am trying to say

Answer: They are inverses of each other

============================================================

Explanation:

We need to check two things:

If both of those equations are true, then f and g are inverses of each other.

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

Part 1

[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]

So far, so good. Now we need to check the other equation mentioned.

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

Part 2

[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

Answer:

5

Step-by-step explanation:

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

3x+4=0

x-1=0

(x-3)^2=0

We solve for x each time

x=-4/3

x=1

x=3

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

0y=0

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

Answer:

Step-by-step explanation:

The answer is d.

The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.

A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.

For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.

Here, the black graph corresponds to the function:

y = f (x).

In the red graph, the y values are increased to two fold but the x-values are the same.

then,

relation between new y values and older function f(x) is :

y/2 = f (x).

Therefore, option D is correct.

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The equation used to model the regular cost of each chair at Maplewood Furniture store is given by 6c - 55 = 455

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let c represent the regular cost for x chairs. Hence:

c = mx + b

Given that a discount of $55 is applied to the total, hence, b = -55.

Rhianna buys a set of 6 chairs and pays 455, hence:

6c - 55 = 455

6c = 510

c = 85

The equation is given by 6c - 55 = 455 and the regular cost of each chair is $85

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Answer:

48 pieces

Step-by-step explanation:

20÷5/12=20*12/5=240/5=48

Answer:

The height of the tree is 38.76.

Step-by-step explanation:

[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]

x= [tex]\frac{69.53x5}{8.97}[/tex]

69.53x5= 347.65

347.65  8.97= 38.75696767

round the number (38.76)

Hope this helps

sorry if its wrong

Answer:

In a period of time of 24 hours...

Step-by-step explanation:

In a period of time of 24 hours, she would have put 1008 letters. Good job Natasha