Suppose you deposit $100 in a savings account where the interest earned is compounded continuously at a rate of 2%. How many years will it take the balance in the account to reach $10,000 (round your answer to
the nearest year)?

A. 231 years
B. 230 years
C. 234 years
D. 232 years

Answer:

1/6

Step-by-step explanation:

in the model it shows 6 spots, 1 of those 6 are colored in.

Answer:

obtuse

Step-by-step explanation:

Answer:

b :)

Step-by-step explanation:

None of the other answers make sense. And acute is smaller than a 90 and obtuse is bigger than a 90 if I remember correctly.

Hope this helps!

Answer: 55/126

Step-by-step explanation:

For this equation, the easiest way to solve is to change the denominators, or bottom halves, of both fractions to be the same thing. The easiest way to do this is to multiply themselves with a “funny form” of one. A funny form of one is just a way of representing “1” with numbers that aren’t 1. “2/2” is a funny form of one. log(x)/log(x) is a funny form of one, etc..

(3/7)x(9/9)=27/63

(4/9)x(7/7)=28/63

These fractions are very close. If you are willing to settle for an unsimplified fraction, the answer here would be 27.5/63. If you aren’t willing to settle for the unsimplified form, we can multiply both fractions by a funny form of one again, most easily 2/2, and find the median of the two fractions.

(27/63)x(2/2)=54/126

(28/63)x(2/2)=56/126

The median of these two fractions is 55/126.

55/126 is exactly halfway between 3/7 and 4/9.

Answer:

A

Step-by-step explanation:

100 - 30 - 40 = 30%

30% of 50 = 15 pizzas

Answer:

-6,-8

Step-by-step explanation:

We need to find the derivative first. Think of x/(x+2) as x(x+2)^(-1). That will allow us to use the product rule. You could also use the quotient rule if you want. I'll go with the product rule route.

[tex]f(x) = \frac{x}{x+2}\\\\f(x) = x(x+2)^{-1}\\\\f'(x) = (x+2)^{-1}-x(x+2)^{-2}\\\\f'(x) = \frac{1}{x+2}-\frac{x}{(x+2)^2}\\\\f'(x) = \frac{x+2}{(x+2)^2}-\frac{x}{(x+2)^2}\\\\f'(x) = \frac{x+2-x}{(x+2)^2}\\\\f'(x) = \frac{2}{(x+2)^2}\\\\f'(x) = \frac{2}{x^2+4x+4}\\\\[/tex]

Since we want the tangent slope to be 1/2, we'll set f ' (x) equal to 1/2 and solve for x.

[tex]f'(x) = \frac{2}{x^2+4x+4}\\\\\frac{1}{2} = \frac{2}{x^2+4x+4}\\\\1*(x^2+4x+4) = 2*2\\\\x^2+4x+4 = 4\\\\x^2+4x = 0\\\\x(x+4) = 0\\\\x = 0 \ \text{ or } \ x+4 = 0\\\\x = 0 \ \text{ or } \ x = -4\\\\[/tex]

The two x values, x = 0 and x = -4, make f ' (x) equal to 1/2.

---------

If x = 0, then y is...

[tex]y = f(x)\\\\f(x) = \frac{x}{x+2}\\\\f(0) = \frac{0}{0+2}\\\\f(0) = 0\\\\[/tex]

Showing that (0,0) is one point we're after.

If x = -4, then,

[tex]y = f(x)\\\\f(x) = \frac{x}{x+2}\\\\f(-4) = \frac{-4}{-4+2}\\\\f(-4) = 2\\\\[/tex]

Making (-4, 2) the other point where the tangent slope is 1/2.

We use the original f(x) function, and not the derivative, when determining the y coordinates of the two points. If you plugged x = 0 or x = -4 into f ' (x), you'd get 1/2. So its good practice, but not what we're after ultimately.

Answer:

4.5

Step-by-step explanation:

54/12=4.5

Answer:

(a) Sample Space

[tex]S = \{0,1,2,3\}[/tex]

(b) PMF

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}[/tex]

(c) CDF

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}[/tex]

Step-by-step explanation:

Solving (a): The sample space

From the question, we understand that at most 3 cars will be repaired.

This implies that, the number of cars will be 0, 1, 2 or 3

So, the sample space is:

[tex]S = \{0,1,2,3\}[/tex]

Solving (b): The PMF

From the question, we have:

[tex]P(2) = P(1)[/tex]

[tex]P(0) = P(3)[/tex]

[tex]P(1\ or\ 2) = 0.5 * P(0\ or\ 3)[/tex]

[tex]P(1\ or\ 2) = 0.5 * P(0\ or\ 3)[/tex] can be represented as:

[tex]P(1) + P(2) = 0.5[P(0) + P(3)][/tex]

Substitute [tex]P(2) = P(1)[/tex] and [tex]P(0) = P(3)[/tex]

[tex]P(1) + P(1) = 0.5[P(0) + P(0)][/tex]

[tex]2P(1) = 0.5[2P(0)][/tex]

[tex]2P(1) = P(0)[/tex]

[tex]P(0)= 2P(1)[/tex]

Also note that:

[tex]P(0) + P(1) + P(2) + P(3) = 1[/tex]

Substitute [tex]P(2) = P(1)[/tex] and [tex]P(0) = P(3)[/tex]

[tex]P(0) + P(1) + P(1) + P(0) = 1[/tex]

[tex]2P(1) + 2P(0) = 1[/tex]

Substitute [tex]P(0)= 2P(1)[/tex]

[tex]2P(1) + 2*2P(1) = 1[/tex]

[tex]2P(1) + 4P(1) = 1[/tex]

[tex]6P(1) = 1[/tex]

Solve for P(1)

[tex]P(1) = \frac{1}{6}[/tex]

To calculate others, we have:

[tex]P(2) = P(1)[/tex]

[tex]P(2) = P(1) = \frac{1}{6}[/tex]

[tex]P(0)= 2P(1)[/tex]

[tex]P(0) =2 * \frac{1}{6}[/tex][tex]P(0) =\frac{1}{3}[/tex]

[tex]P(3) = P(0) =\frac{1}{3}[/tex]

Hence, the PMF is:

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}[/tex]

See attachment (1) for histogram

Solving (c): The CDF ; F(x)

This is calculated as:

[tex]F(x) = P(X \le x) =\sum\limit^{3}_{x_i \le x} P(x_i)[/tex]

For x = 0;

We have:

[tex]P(X \le 0) = P(0)[/tex]

[tex]P(X \le 0) = 1/3[/tex]

For x = 1

[tex]P(X \le 1) = P(0) + P(1)[/tex]

[tex]P(X \le 1) = 1/3 + 1/6[/tex]

[tex]P(X \le 1) = 1/2[/tex]

For x = 2

[tex]P(X \le 2) = P(0) + P(1) + P(2)[/tex]

[tex]P(X \le 2) = 1/3 + 1/6 + 1/6[/tex]

[tex]P(X \le 2) = 2/3[/tex]

For x = 3

[tex]P(X \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]

[tex]P(X \le 3) = 1/3 + 1/6 + 1/6 + 1/3[/tex]

[tex]P(X \le 3) = 1[/tex]

Hence, the CDF is:

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}[/tex]

See attachment (2) for histogram

Answer:

22+ r = 30

I think this is the answer

Answer:

x = 9

Step-by-step explanation:

4(5 + 4) = 3(x + 3) => Intersecting secants theorem

4(9) = 3(x + 3)

Open bracket by applying distributive property

36 = 3x + 9

Subtract 9 from each side

36 - 9 = 3x + 9 - 9

27 = 3x

Divide both sides by 3

27/3 = 3x/3

9 = x

x = 9

Answer:

D. 20 inches

Step-by-step explanation:

Answer:

You multiply them 2x each time.

Step-by-step explanation:

Multiply

Answer:

6 ways.

There are one red, one blue and one green maker. So there are 3 markers they are in 3! = 3×2 = 6 ways.

Please mark brainliest! <3

Answer:

100 percent

Step-by-step explanation:

mean ( average daily demand ) ( d )  = 27 pounds

standard deviation of demand ( std ) = 8 pounds

Lead time ( taken order takes to arrive ) ( L ) = 5 days

Reorder point = 155 pounds

Determine the service level )

Applying the equation below

Reorder point = d x L + (Z x  std )       note : Z = service factor

155 = 27 * 5 + ( Z  * 8 )

155  = 135 + 8Z

hence Z ( service factor ) = ( 155 - 135 ) / 8 = 2.5

hence the service level is ≈ 100 percent

Answer:

1/4

Step-by-step explanation:

Answer:

Problem 1:

I = 0.4 volts

Problem  2:

V = 250 volts

Step-by-step explanation:

Given:

Potential difference V = 10 V,

Resistance R = 25 ω,

V = IR

I = V/R

I = 10/25

I = 0.4 volts

Current I = 5 A,

Resistance R = 50 ω,

Potential difference

V = IR

V = 5× 50

V = 250 volts

-TheUnknownScientist

Answer:

For Q. 17 I believe it's "the function has a minimum at -1" take this answer with a grain of salt but the other three seem to be true and I don't know how to solve this one so I'm assuming it's the false one.

Answer:

x=4

Step-by-step explanation:

bshdnbsskbewidbehhe

Answer:

translation

Step-by-step explanation:

Answer:

I think it's dilation or none

Step-by-step explanation:

Answer:

F.   4h ≥ 18

Step-by-step explanation:

In 1 hour, she walks 4 miles.

In h hours, she walks 4h miles.

She wants to walk at least 18 miles. That means she wants the distance she walks to be 18 miles or greater.

4h ≥ 18

Answer: F.   4h ≥ 18

Answer:

16.97

Step-by-step explanation:

The surface area of the prism is 294yd²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The prism is a square prism also called cube.

Therefore the surface area of a cube is expressed as;

SA = 6l².

This is because a cube has 6 equal faces. The area of each face is given as l². Where l is the side length.

Therefore the surface area of the prism is calculated as;

SA = 6l²

= 6 × 7²

= 6 × 49

= 294yd²

therefore the area of the prism is 294yd²

learn more about surface area from

https://brainly.com/question/28062681

#SPJ1

Answer:

Table C

Step-by-step explanation:

Answer:74inch

Step-by-step explanation:

Assuming this is a right triangle you do pythogreom theorm and get 74 inches

Answer:

y = 48°

Step-by-step explanation:

The value of an inscribed angle is half the value of the arc it subtends.

The angle marked x subtends the arc marked 66°, so has a value of ...

x = 66°/2

x = 33°

The value of y is similarly found.

y = 96°/2

y = 48°

The angle marked with a dot is an external angle of the triangle, so is the sum of the remote internal angles, x and y:

dot angle = x + y = 33° +48° = 81°

Of course, angle z is the supplement of this:

z = 180° -81°  

z = 99°

Answer: Should be about a 20.4% chance

Step-by-step explanation:

17 times 6 divided by 5