Suppose you deposit $4000 in a savings account that pays interest at an annual rate of 3.1% compounded continuously How many years will it take for the balance in your savings account to reach $5625.41?

15 Minutes Remaining

Answer:0.08

0.0818

Step-by-step explanation:

Answer:

173

Step-by-step explanation:

substitute and calculate

Answer: I feel like it’s d..

Step-by-step explanation:

Answer:

(5x + 3x) (x -5)

Step-by-step explanation:

Factor a GCF from the expression, if possible.

Factor a Trinomial, if possible.

Factor a Difference Between Two Squares as many times as possible.

If the equation is in the form a2-b2, factor it to (a+b)(a-b). Equations with two variables factor differently than basic quadratics. For any equation a2-b2 where a and b do not equal 0, the equation factors to (a+b)(a-b). For example, the equation 9x2 - 4y2 = (3x + 2y)(3x - 2y).

Answer:

Step-by-step explanation:

The can contains 1 pound + 2 oz

1 pound = 16 oz

1 can = 16oz + 2oz

1 can = 18 oz

2/3 can = 18 oz * 2/3

2/3 can = 18 oz/1 * 2/3

Multiply the numerator * numerator divide by (denominator * denominator)

2/3 can = 36 / 3

2/3 can = 12 oz.

You could do this by cancelation, but you may not know that yet.

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(3)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(4)(3)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}}\implies 15~~ + ~~6~~ + ~~2\pi \stackrel{using~\pi =3.14}{\implies 27.28}[/tex]

Answer:

1. Polynomial

2. Not a polynomial

3. Not a polynomial

4. Not a polynomial

5. Not a polynomial

6. Not a polynomial

Step-by-step explanation:

Answer:

  the first three are polynomials; the remainder are not

Step-by-step explanation:

A polynomial is a sum of terms with non-negative integer powers of the variables.

The first three expressions are all polynomials; the last three are not.

__

The rational expression with a variable in the denominator is a "rational function", but is not a polynomial. The expressions containing |x| and √x are not expressions that have x to an integral power.

The coefficients of the polynomials we generally deal with are usually integers or fractions. However, there is no requirement that they be rational or real. The second expression is still a polynomial even though it has irrational coefficients.

Answer:

C

Step-by-step explanation:

x² - 12x + 36 = 49

(x - 6)² = 49

now taking the square root

x - 6 = 7

x = 13

the second solution is (remember, sqrt(a²) = ±a)

-(x - 6) = 7

-x + 6 = 7

-x = 1

x = -1

Answer:

9=n-3

Step-by-step explanation:

Answer:

X=7/2 Y=1

Step-by-step explanation:

4X-Y=13

4X-13=Y

2X-3(4X-13)=4

2X-12X+39=4

-10X+39=4

-10X=4-39

-10X=-35

X=7/2(-35/10)

Y=4(7/2)-13

Y=14-13

Y=1

The solution of the two given linear equations will be equal to X=7/2 Y=1

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The solution of the linear equation is as follows:-

4X  -  Y   =    13

4X  -  13   =   Y

2X   -   3  (   4X  -  13  )   =    4

2X   -   12X   +    39   =    4

-10X   +    39  =  4

-10X  =    4  -   39

-10X    =    -35

X   =    7/2   (  -35  /   10   )

Y   =   4  (  7/2  )  -   13

Y   =  14  -  13

Y  =   1

Therefore the solution of the two given linear equations will be equal to X=7/2 Y=1

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Answer:

HERE

Step-by-step explanation:

All equations equivalent to 8+3x = -2(11) are:

2(8+3x) = -4(11) and -8 - 3x = 2(11)

Answer:

Step-by-step explanation:

The y intercept, is when x=0, and so it is 10000(0.97)^0 = 10000

Answer:

[tex]26[/tex]

Step-by-step explanation:

[tex](-4a - 6) + a2[/tex]

[tex]a=8[/tex]

Let's Substitute a with 8:

[tex]-4\times \:8-6+8^2[/tex]

[tex]26[/tex]

Answer:

-3,-2,-1,0,2,3,4,5

hope it helps

Answer:

[tex]{22p^4qr\sqrt{35q[/tex]

Step-by-step explanation:

I am interpreting what you wrote as  [tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}[/tex], sorry if that's not what you meant!

We rewrite [tex]385[/tex] as [tex]5 \cdot 7 \cdot 11[/tex]. Since the radicals have the same index, the expression can be written as

[tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}=2\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}[/tex].

Multiplying like terms, the expression simplifies to

[tex]2\sqrt{5\cdot7\cdot11^2p^8q^3r^2}\\[/tex].

Taking out the perfect square factors, [tex]11^2, p^8, q^2,[/tex] and [tex]r^2,[/tex] we get

[tex]2\cdot11p^4qr\sqrt{5\cdot7q[/tex], or

[tex]\boxed{22p^4qr\sqrt{35q}}[/tex].

[tex]\begin{align*}\\\sqrt{11p^4q^3r} \cdot\sqrt{385p^4r}=\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}\\=\sqrt{11^2p^8q^3r^2}\\\end{align*}[/tex][tex]\begin{align*}\sqrt{5*4}\\\end{align*}[/tex]

Answer:

y= x-4

Step-by-step explanation:

slope-intercept form is y=mx+b

-2y-8=-2x   move the 8 over to the other side

-2y=-2x-8   divide whole equation by negative 2

this should give you, y=x-4

Answer:

364

Step-by-step explanation:

Hello, you can use the formula which is [tex]v=lwh/3[/tex]

Answer:

1) -6.4

2)71

3)15.4

Answer:

9

Step-by-step explanation:

[tex] \sqrt{3 {}^{4} } =( 3 {}^{4} ) {}^{ \frac{1}{2} } = {3}^{2} = 9[/tex]

The amount of paint required by Madeline will be 0.8325 gallons

Given that

[tex]1cm=1.5ft[/tex]

We will first find the area of the wall

Area of the wall = Area of trapezoidal shape+ Area of triangular shape

Area of trapezoid = [tex]\dfrac{a+b}{2} \times h[/tex]

a= 4cm

b=14cm

h=10cm

putting this values

[tex]A=\dfrac{4+14}{2} \times 10[/tex]

[tex]A=90cm^{2}[/tex]

Area of triangular shape=  [tex]\dfrac{1}{2} \times width\times height[/tex]

width=14cm

height=8cm

putting the values

[tex]A=\dfrac{1}{2} \times 14\times 8=58cm^{2}[/tex]

[tex]Total area of the wall= 90+58=148cm^{2}[/tex]

since we have

[tex]1cm=1.5ft[/tex]

[tex]148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}[/tex]

Now

[tex]1gallon = 400ft^{2}[/tex]

so for  [tex]333 ft^{2}[/tex]  amount of paint in gallons required will be

[tex]1ft^{2} =\dfrac{1}{400} gallons[/tex]

[tex]333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons[/tex]

Thus the amount of paint required by Madeline will be 0.8325 gallons

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Answer:

vertices

Step-by-step explanation:

The corner of a shape or object is the vertices

Answer:

4

Step-by-step explanation:

The perimeter of the triangle CFX is the sum of lengths CF, FX and XC

The perimeter of the triangle CFX is 82 units

The given parameters are:

CE=5, YF=21 and XZ=15

Points E, Y and Z are the median of the triangle CFX.

This means that:

CF = 2 * CE

FX = 2 * YF

XC = 2 * XZ

The perimeter of triangle CFX is then calculated as:

Perimeter = CF + FX + XC

This gives

Perimeter = 2 * CE + 2 * YF + 2 * XZ

So, we have:

Perimeter = 2 * 5 + 2 * 21 + 2 * 15

Perimeter = 82

Hence, the perimeter of the triangle CFX is 82 units

Read more about the perimeters at:

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Answer:

Its A :))

Step-by-step explanation:

Answer:

y=7/20x+11/20

Step-by-step explanation:

7x-20y=-11

20y=7x-(-11)

20y=7x+11

y=7/20x+11/20

Step-by-step explanation:

I am not sure what you mean by "sort". that would mean to bring them into a certain sequence.

I think you mean "categorize".

the first one is arithmetic.

the added constant is -4.2

98.3 - 4.2 = 94.1

94.1 - 4.2 = 89.9

...

the second one is neither.

it looks like first to be arithmetic with the added constant of -1.

1 - 1 = 0

0 - 1 = -1

but then

-1 - 1 = -2 and not 0.

the third is geometric.

the ratio or multiplication factor is 2.

1.75 × 2 = 3.5

3.5 × 2 = 7

...

the fourth is arithmetic.

the added constant is 1.2.

-12 + 1.2 = -10.8

-10.8 + 1.2 = -9.6

...

the fifth is geometric.

the ratio of multiplication factor is -1.

-1 × -1 = 1

1 × -1 = -1

...

if you really need to sort them (change their positions in that 5 elements list), then

the 1st and 4th are arithmetic (to be put into the top 2 spots).

the 3rd and 5th are geometric (to be put into the next 2 spots).

the 2nd is neither (last spot).