$6,000 is invested in an account at interest rate r, compounded continuously. Find the time (in years) required for the amount to double when r= 9.5% and when r=2.5%.

Answer:

slope equals 2

Step-by-step explanation:

graph points and calculate rise over run

Answer:

3

Step-by-step explanation:

Answer:

the cube ROOT of 27 is 3.

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

La parte decimal de un número decimal exacto está compuesta por una cantidad finita de términos.

Ejemplos:

15.125

0.1

3.0000001

Si en sus factores sólo aparecen 2, 5 o ambos, la fracción es decimal exacta.

Answer:

4/12

Step-by-step explanation:

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

The value of z/w is, (8 + 2i)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph is shown in figure.

And, The point z = (6 + 10i)

The point w = (1 + i)

Now,

We can find the value of z/w is,

⇒ z/w = (6 + 10i) / (1 + i)

         = (6 + 10i) (1 - i) / (1 + i) (1 - i)

          = (6 - 6i + 10i - 10i²) / (1 - i²)

          = (6 + 4i + 10) / (1 + 1)

          = (4i + 16) / 2

          = (8 + 2i)

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Answer:

attached is the answer :)

Step-by-step explanation:

The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.

It is a line that touches a single point on the circle.

Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.

OA=a

Lb=a also

O'L=b-a

In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,

OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]

=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]

It will be the length of AB also.

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Answer:

i think the answer is B

i am sorry if this is wrong

Step-by-step explanation:

Answer:

i got it

its an isosceles triangle bc two sides are equal.

Answer:

-682

Step-by-step explanation:

I worked it out and got -682

Answer:

72

Step-by-step explanation:

24 / 3 = 8

so

8*7 = 72

Answer:

72

Step-by-step explanation

24 / 3 = 8

so

8*7 = 72

Answer:

its the first one and the last one ..that's the answer.

Answer:

Step-by-step explanation:

Let the number of MC questions = x

Let the number of SA questions = y

x + y = 15

2x + 5y = 60

Multiply the top equation by 2

2x + 2y = 30

Put this underneath the second equation and subtract

2x + 5y = 60

2x + 2y = 30           Subtract

 3y = 30

   y = 10                  Subtract

2y = 20

y = 10

x + y = 15

x + 10 = 15

x = 5

Answer:

63

Step-by-step explanation:

3x^2+5y

Where X=4,Y=3

So

=3×4×4+5×3

=48+15

=63

So 63 is the answer

Answer:

C.63

Step-by-step explanation:

3x4²+5x3

4² = 16

3x16+5x3

Then

3x16 = 48

5x3 =15

48+15 equals 63

The answer is 63

Have a Good Day!!!!

9514 1404 393

Answer:

Step-by-step explanation:

Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).

__

1. p(x) = (x -(-6))(x -3)(x -5)

  p(x) = (x+6)(x-3)(x-5)

__

2. p(x) = (x -2)(x -(-2))(x^2 +6^2)

  p(x) = (x -2)(x +2)(x^2 +36)

__

If you want standard form, you can start with factored form, then multiply it out.

3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)

  p(x) = x^3 -7x^2 -x +7

__

4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)

  p(x) = x^4 -5x^2 -36

Answer:

yes though i am not completely sure

Step-by-step explanation:

Answer:

Lower

Step-by-step explanation:

Use the number 100 to see how the value changes:

First, calculate the 60% drop:

100(0.4)

= 40

Then, calculate the 75% increase:

40(1.75)

= 70

So, since 70 is smaller than 100, the value is lower than where it started.

Answer:

[tex] \frac{20}{29}[/tex]

Step-by-step explanation:

Equation of unit circle is:

[tex] x^2 + y^2 = 1[/tex]

Plug [tex] y = \frac{-21}{29}[/tex] in above equation.

[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\

x^2 + \frac{441}{841} = 1\\\\

x^2 = 1-\frac{441}{841}\\\\

x^2 = \frac{841-441}{841}\\\\

x^2 = \frac{400}{841}\\\\

x =\pm\sqrt{ \frac{400}{841}}\\\\

x =\pm\frac{20}{29}\\\\

[/tex]

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\

[/tex]

Answer:

Mariah will save more than Jane.

Step-by-step explanation:

i think

Answer:

YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters

Step-by-step explanation:

i took the test and got 5/5....this answer was correct

Answer:

Confidence interval = (4.61972, 25.46428)

Margin of Error = 3.9078675

Step-by-step explanation:

Given that :

This year:

Mean (μ1) = 64

Standard deviation (s1) = 13.8

Sample size (n1) = 28

Last year:

Mean (μ2) = 48.958

Standard deviation (s2) = 15.4

Sample size (n2) = 28

99% confidence interval estimate of the difference μ1−μ2

α = 1 - 99% = 0.01

(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)

t0.01, 27 = 2.770683 (t value calculator)

√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675

(64 - 48.958) ± 2.667(3.9078675)

15.042 ± 10.42228

(15.042 - 10.42228), (15.042 + 10.42228)

(4.61972, 25.46428)

The margin of error :

√(s1²/n1) + (s2²/n2)

√(13.8^2/28) + (15.4^2/28)

√(6.8014285 + 8.47)

√15.2714285

= 3.9078675

Answer:

There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.

Answer:

19

Step-by-step explanation:

While it's really easy to just divide, I'm sure your teacher wants an equation so:

1615=85x                                                      here x= skittle boxes

1615/85=x            In this line you can use divide to cancel out the multiplication, giving you

x=19

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

[tex]AC^2= AB^2+BC^2[/tex]

[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]

[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]

[tex]\Rightarrow 6x=64-9=55[/tex]

[tex]\Rightarrow x=55/6=9.17[/tex] chi.

Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,

and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.