How long does it take for a $5000 investment to turn into a $7000 investment if it is compounded
semi-annually at 5.2%

Answer:

a is less than 0

Step-by-step explanation:

The value of a in this function is a is less than 0 .

A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.

According to the question

Radical function that can be written in the form

[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)

By solving this equation we will get value of a and c

differentiating the equation

[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]

therefore

[tex]((x+k)^{1/n-1}) > 0[/tex]

As graph is decreasing monotonically  

[tex]\frac{a}{n} < 0[/tex]

as n will be always n>0 ,

so a < 0

Now taking value of f(x)= 0 in equation (1)

[tex]f(x)=a(x+k)^{1/n} +c[/tex]

[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex]   as (a < 0)

[tex]0=-a(k)^{1/n} +c[/tex]

[tex]-c =-a(k)^{1/n}[/tex]  multiplying (-1) both side

[tex]c =a(k)^{1/n}[/tex]  

i.e

c > 0

Hence, the value of a in this function is a is less than 0 .

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Answer:

(m-3)(m-2)

Step-by-step explanation:

Here,

m^2- 5m + 6

=m^2-(3+2)m +6

=m^2 - 3m - 2m +6

=m(m - 3) - 2 (m - 3)

=(m-3)(m-2)

The statements that are true about the dot plot are: I, III, and IV only.

The range, which is the difference between the maximum and minimum value, is a measure of the spread of a data distribution.

In the dot plot given, the spread of the data is: 30 - 25 = 5.

The peak points are at 27 and 28, and the data looks symmetrical in shape with no clear outlier.

Therefore, the statements that are true about the dot plot are: I, III, and IV only.

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Answer:

E. 0.23331

Step-by-step explanation:

⇒ As 21 is a common factor, take the remaining as powers of 10.

Answer:

p/3

Step-by-step explanation:

You can divide both sides by three.

P=3S

----/3

P/3=S

Thus, p/3 is the answer

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

Answer:

net loss of 10

Step-by-step explanation:

stop 1 :

13 off

5 on

7 net loss

stop 2 :

3 off

3 net loss

total net loss = 3+10

=10

Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

Answer:

Pythagorean Theorem used for finding the missing side length for a triangle the formula is a^2 + b^2 = c^2
a= base
b= height
c= the diagonal side a.k.a. hypotenuse

Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

Answer: 31/83  (decimal form 0.373494)

Step-by-step explanation:

Answer:

3 × 6 = 18 3 + 6 = 9

Step-by-step explanation:

3 × 6 = 18 3 + 6 = 9

Answer:

Step-by-step explanation:

hello :

the circumference is :P=2pi×r=2×3.14×3= .... continu

Answer:

Area=  7.065ft^2

Circumference= 9.42ft

Step-by-step explanation:

The area of a circle is,

area=Pi*r^2

and the circumference,

circumference=2*Pi*r

with r being the diameter/2

so we get,

area=(3.14)(1.5)^2=7.065ft^2

circumference=2(3.14)(1.5)=9.42ft

Answer:

x= 4, y= -2

Step-by-step explanation:

To solve the system by substitution, start by labelling the two equations:

-4x +5y= -26 -----(1)

y= 3x -14 -----(2)

Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.

Substitute (2) into (1):

-4x +5(3x -14)= -26

Expand:

-4x +15x -70= -26

11x= 70 -26

11x= 44

Divide both sides by 11:

x= 44 ÷11

x= 4

Substitute x= 4 into (2):

y= 3(4) -14

y= 12 -14

y= -2

Answer:

Answer given in the image below

I hope my answers helps you.

Answer:

Annabelle answered 85% of the answers correctly.

Step-by-step explanation:

You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)

Answer:

good and how do you forget wut H is?

Step-by-step explanation:

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

Answer:

V = 272 π cm^3

Step-by-step explanation:

r = 4 cm

h = 17 cm

V = πr^2h

V = π((4)^2)(17) cm^3 = 272 π cm^3

Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

__

If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

_____

Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

__

In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

Either way, the shading is above the dashed line.

__

About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.

Step-by-step explanation:

3(7 + x) = 3×7 + 3x = 21 + 3x

remember, when you multiply two expressions, you need to multiply every term of the first expression with every term of the second expression, and then add all partial results (by considering the individual signs, of course).

Answer:

7290ft^2

Step-by-step explanation:

60*30=1800

then multiply that by 4 because of the 4 rectangle

1800*4=7200

multiply 30*30 to get 90 then add that on

7290

The elevation and the top of the tree form a right triangle

The height of the tree is 104.96 feet

The given parameters are:

The height (h) of the tree is calculated using the following trigonometry ratio

tan(α) = h/b

Make h the subject

h = b * tan(α)

Substitute known values

h = 82* tan(52)

Evaluate the product

h = 104.96

Hence, the height of the tree is 104.96 feet

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Answer:

Step-by-step explanation:

tan 52 = x/82

x= 82 x tan 52

x=104.96

Answer:

there is 5 jokers

Step-by-step explanation:

the dot plot shows that

Answer:

[tex] \frac{9}{2} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{1}{6} [/tex]

[tex] \frac{3}{4} \times \frac{6}{1} [/tex]

[tex] \frac{18}{4} [/tex]

[tex] \frac{9}{2} [/tex]

Divide fractions:-

[tex]\displaystyle\frac{3}{4} :\frac{1}{6}[/tex]

Multiply the 1st fraction times the reciprocal of the 2nd fraction (flop the second fraction over) :-

[tex]\displaystyle\frac{3}{4} *\frac{6}{1} =\frac{3*6}{4*1}=\frac{18}{4}[/tex]

[If necessary, divide the top & bottom by 2, and you'll have 9/2]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37

Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...

Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532

The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.

Simplification is solved using BODMAS rule.

The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:

[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]

This can be simplified as,

[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]

[tex]\dfrac {1500}{79} \times37[/tex]

On further solving, it results to 702.531647.

The value of the given expression is 702.531647.

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Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

[tex] \sqrt{2704 } = 52[/tex]

Answer :

⠀

Explanation :

⠀

Solution :

We'll solve this using the Pythagorean Theorem.

where,

⠀

We know that,

[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]

We know that, (20)² = 400 and (48)² = 2304. So,

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]

Now, adding 400 and 2304 we get :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from AC :

[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]

When we take the square root of (AC)² , it becomes AC,

[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]

We know that, square root of 2704 is 52 .

[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]

So,

Not sure about Angle. 13