Lucy’s mom started a savings account for Lucy to go to college when she was 5 years old. She put $1000 into an account that earned 6% interest. Lucy is now 18. How much money does Lucy have?

Answer:

so is volume length times width

The probability of the event that the number picked is less than or equal to 16 is 33.33%. Then the probability of the complement of event A is 66.67%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A number is randomly selected from {15, 16, 17, 18, 19, 20}.

A is represented by the event that the number picked is less than or equal to 16.

Total event = 6 {15, 16, 17, 18, 19, 20}

Favorable event = 2 {15, 16}

Then the probability of the event that the number picked is less than or equal to 16 will be

[tex]\rm P(x\leq 16) = \dfrac{2}{6}\\\\P(x\leq 16) = \dfrac{1}{3} \\\\P(x\leq 16) = 0.3333\\\\ P(x\leq 16) = 33.33 \ \%[/tex]

The probability of the complement of event A will be

[tex]\rm P(x > 16) = \dfrac{4}{6}\\\\P(x > 16) = \dfrac{2}{3} \\\\P(x > 16) = 0.6667\\\\ P(x > 16) = 66.67\ \%[/tex]

The probability of the complement of event A is 66.67%.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex] would be your answer

Step-by-step explanation:

Since you have [tex]\frac{15}{25}[/tex] and the denominator for the answer is 5. You will be dividing 15 and 25 by 5. Making it look like:

15 ÷ 5 = 3

25 ÷ 5 = 5

so your answer will be

[tex]\frac{3}{5}[/tex]

Answer:

[tex]y = 20\times 2^{x}[/tex].

Step-by-step explanation:

Let [tex]y = (a)\, (b)^{x}[/tex] denote this exponential function for some constant [tex]a[/tex] and [tex]b[/tex] ([tex]b > 0[/tex]) that need to be found.

Assume that the graph of the function [tex]y = (a)\, (b)^{x}[/tex] goes through the point [tex](x_{0},\, y_{0})[/tex]. Substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] should satisfy the equation of this function:

[tex]y_{0} = (a)\, (b)^{x_{0}}[/tex].

For example, [tex]y = (a)\, (b)^{x}[/tex] goes through the point [tex](0,\, 20)[/tex]. Substituting in [tex]x = 0[/tex] and [tex]y = 20[/tex] should then satisfy the equation of this function:

[tex]20 = (a)\, (b)^{0}[/tex].

Similarly, since the graph of this function goes through [tex](7,\, 2560)[/tex] where [tex]x = 7[/tex] and [tex]y = 2560[/tex]:

[tex]2560 = (a)\, (b)^{7}[/tex].

In general, the constant [tex]a[/tex] in such systems could be eliminating by dividing one equation by the other. For example, dividing [tex]2560 = (a)\, (b)^{7}[/tex] by [tex]20 = (a)\, (b)^{0}[/tex] gives:

[tex]\displaystyle \frac{2560}{20} = \frac{(a)\, (b)^{7}}{(a)\, (b)^{0}}[/tex].

Simplify to obtain:

[tex]\displaystyle 128 = b^{7 - 0}[/tex].

[tex]\displaystyle 128 = b^{7}[/tex].

[tex]b^{7} = 128[/tex].

Since the exponent of [tex]b[/tex] is an odd number, the sign of [tex]b[/tex] should also be positive- same as the sign of [tex]128[/tex]. Extra steps would be required if the exponent of [tex]b[/tex] is even.

Raise both sides to the [tex](1/7)[/tex]th power to find the (unique) value of [tex]b[/tex]:

[tex]b = 128^{1/7} = 2[/tex].

Substitute [tex]b = 2[/tex] back into either equation (for example, [tex]2560 = (a)\, (b)^{7}[/tex]) to find the value of [tex]a[/tex]:

[tex]2560 = (a)\, (2)^{7}[/tex].

[tex]\begin{aligned}a &= \frac{2560}{2^{7}} \\ &= \frac{2560}{128} \\ &= 20\end{aligned}[/tex].

Thus, this exponential function would be [tex]y = 20\times 2^{x}[/tex].

Explanation:

6 = number of games the first friend won

x = number of games the other friend won

6+x = x+6 = total number of games

x+6 = 13 total games

Solving for x leads to x = 7

Answer:

Using Pythagorean theorem a2 + b2 = c2 15002 + 20002 = C2; c is 2,500 feet

Answer:

The answer is 22 point 62 degrees.

Answer:

Lin=48 seconds Diego=30 seconds

Step-by-step explanation:

Answer:

Lin   48 seconds      Diego 30 seconds

Step-by-step explanation:

Lin ----- 48 seconds  

Diego---------30 seconds  

Lin ---------- 12 ounces ÷ (1/4) ounces/second = 12 ÷ (1/4) = 48 seconds  

Diego --------- 20 ounces ÷ (2/3) ounces/second = 20 ÷  (2/3) = 30 seconds  

Answer:

31/30 or 1 1/30

Step-by-step explanation:

1/3+1/5+1/2

Answer:

Step-by-step explanation:

Answer:

Solve using the supplement of the angles.

Step-by-step explanation:

For the first page, you should use the supplement of the angles. This means, on a straight line, you can subtract the known angle from 180 degrees to find the missing angle. The top angle, for example, will be 180 - 46 resulting in the interior angle being 134 degrees.

You can do this until you find all of the known interior angles, then using the sum of interior angles and the current known interior angles you can find the last known interior angle. If they are asking you to solve for an exterior angle, you can once again subtract the known interior angle from 180 degrees to find the exterior angle.

For the second page, you can refer to exterior angles again. Knowing that all exterior angles add to 360 degrees, and since we are given all of them, we can set the sum of the exterior angles to 360 degrees.

9x + 4x + (5x + 10) + (5x + 25) = 360

Simplify.

23x = 325.

Solve for x.

Answer:

192.92

Step-by-step explanation:

Multiply 12 and 723.45 and then divide 45

Answer:

192.92. But you wrote the numbers like a todler so I can't quite understand.

Step-by-step explanation:

It's easy. First divide 723.45 with 45 to get how much 1L of fuel costs. Then with the answer multiply with 12 to see how much 12L of fuel costs.

Oh and please give me brainliest cause why not.

Answer:

3

Step-by-step explanation:

6x (horizontal totals) + 12 x(vertical totals) = 54

18x = 54

x = 3

HOPE THIS HELPS!!!

Answer:

18

Step-by-step explanation:

you take away -9 from both sides

27-9=18

Answer:

9

Step-by-step explanation:

so first you send +9 to the right , it will become -9

2p + 9 = 27

2p = 27 - 9

you substract -9 from 27

2p = 18

next step you send 2 to the other side... since it multiply on the left side...it will become divide on the right side, so that p can be alone

2×p = 18

p = 18 ÷2

p = 9

i rewrote it without explication

full step is : 2p = 27 - 9

2p = 18

p = 18 ÷ 2

p = 9

Answer:

Please see analysis

Step-by-step explanation:

{the constant of proportionality of 4}

The circumference of a square is in relation to the length of its sides

{C=4l}

I hope this helps you

:)

Answer:

[tex]\boxed{\underline{\tt B.\:x=-6}}[/tex]

Step-by-step explanation:

[tex]\tt \cfrac{1}{25} = 5^{(x+4)}[/tex]

(First, let's convert both sides to the same base):-

[tex]\tt 5^{-2}=5^{x+4}[/tex]

(Now, cancel the base of 5 on both sides):-

[tex]\tt -2=x+4[/tex]

( Subtract 4 from sides)

[tex]\tt x+4-4=-2-4[/tex]

[tex]\tt x=-6[/tex]

~

Answer:

When we add 23°, 145°, 23° and 69° we get 260°

And 260° does not have defined number of sides

Step-by-step explanation:

These are the polygons with the number of sides and angles

Polygon Name  |  Number of Interior Angles  |  Sum of Interior Angles

Triangle                                     3                                    180°

Quadrilateral                            4                                    360°

Pentagon                                  5                                    540°

Hexagon                                   6                                    720°

Septagon                                  7                                    900°

Octagon                                    8                                   1080°

Nonagon                                   9                                   1260°

Decagon                                   10                                  1440°

Answer:

C

Step-by-step explanation:

a linear equation has the form

y = ax + b

y = - [tex]\frac{6}{7}[/tex] x - 11 ← is in this form and is a linear equation

Answer:

C: Linear

Step-by-step explanation:

Linear equations are also called first-order equations. An equation in which the unknowns are all primary so, it’s linear.

The value of the angle measures as required is;

Vertically opposite angles otherwise referred to as X-angles are angles opposite each another at the point of intersection of two line and hence, are equal.

According to line geometry, the sum of angles on a straight line is; 180°

The statements above provide premises for the values supplied in the aforementioned answers.

Read more on vertically opposite angles;

https://brainly.com/question/68367

Step-by-step explanation:

Given:

We know that:

Considering all the info we can make below chart:

Nikolas' car trip                                                                    

                        |    at 100 km/h  | at 80 km/h |  Total       |

Distance            |         x              |      y            |   500 km  |

Time                   |      x/100         |     y/80       |     5 1/2 h   |

Answer:

I think it might be this one

Answer:

Step-by-step explanation:

4x2−y2−24x+4y+28=0⇒(4x2−24x)−(y2−4y)+28=0

Answer:

6 divided by 3 would come first

Step-by-step explanation:

follow pemdas which stands for parenthesis, exponents, multiplication, division, adadditiaddition, then subtraction

Step-by-step explanation:

we start with the point-slope form

y - y1 = a(x - x1)

where "a" is the slope, (x1, y1) is a point on the line, and then we simplify that equation giving us the slope-intercept form

y = ax + b

so,

y - -9 = -9(x - 1)

y + 9 = -9(x - 1)

and now simplifying this

y + 9 = -9x + 9

y = -9x

Answer:

factor the polynomial

6 (7x-3)

Step-by-step explanation:

[tex] - 18 + 42x \\ divide \: both \: sides \: by \: 6 \\ 2(7x -3)[/tex]