Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?

A sample space is the space of all the possible outcomes in this event.

Let's define each outcome as:

(first marble, second marble)

Where the first marble can be green or red.

The second marble can be blue or yellow.

Then the possible outcomes are:

(green, yellow)

(green, blue)

(red, yellow)

(red, blue)

So we have four different outcomes, which means that the sample space has 4 elements.

Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.

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Answer:

The choose C. 18

Step-by-step explanation:

UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18

I hope I helped you^_^

Answer:

D

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × product of 2 sides × sine ( angle between them ) , that is

A = 0.5 × 5.04 × 6.82 × sin61.73° ≈ 15.14 ( to 2 dec. places )

Answer:

The value of x is 6

Step-by-step explanation:

Alrighty, the statement "Figure A maps to figure B with a scale factor of .25" means that figure A is 1/4 of figure b. So to figure out the length of x. All you need to do is multiply 1.5 by 4! That gives you your answer:  6

Answer:

It is a rational number.

Step-by-step explanation:

A rational number is a number that repeats with the same number, or terminates. An irrational number is a number that repeats, but not with a constant number, like pi for example. 3.739 terminates at the end, so it is a rational number.

Hope this helps :)

Answer:

c = 49

Step-by-step explanation:

Let c = number of cards originally

give away 8 cards

c-8

Now she has 41

c-8 = 41

Add 8 to each side

c-8+8 = 41+8

c = 49

Answer:

49

Step-by-step explanation:

In the end, if she now has 41 cards you have to do inverse operation. Since you subtracted to take away those 8 cards she gave away, you have to add back in 8 cards to the 41 if you want to find what she had before. So, 8 + 41 = 49

Hope this helps! :)

The volume of the ice cube is 35.937 mm^3

We know that for a cube of side length L, the volume is defined as:

V = L^3

Here, we do know that each side of our ice cube measures 3.3 mm, so we have:

L = 3.3mm

Then the volume of the cube is just:

V = (3.3 mm)^3 = 35.937 mm^3

We can conclude that the volume of the ice cube is 35.937 mm^3

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Answer:

-1

Step-by-step explanation:

[3-4(-1)^4]^3

=>(3-4)^3

=>(-1)^3

=>-1

Answer From Gauth Math

Answer:

-1

Step-by-step explanation:

[tex][3-4*(3-4)^4]^3[/tex]        

[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]

Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.

Step-by-step explanation:

16d-4+5d= -67

21d-4= -67

21d= -67+4

d= -63/21

d = -3

hope it helps

Answer: d = -3

Step-by-step explanation:

⇒16d -(4-5d) = -67

⇒16d -4 +5d = -67

⇒21d = -67+4

⇒21d = -63

⇒d = -63/21

⇒d = -3

Therefore d = -3

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Answer:

38318

Step-by-step explanation:

Break the numbers into prime factors

46 = 23*2

49 = 7*7

17 = 17*1

The least common multiple is

23*2*7*7*17 = 38318

Answer:

Step-by-step explanation:

In the coordinate given, x = 3 and y = b. If we plug those into the given equation, we can solve for b:

y = 2x + 9 ---> b = 2(3) + 9 so

b = 6 + 9 and

b = 15

Answer:

b = 15

Step-by-step explanation:

y = 2x+9

Let x = 3 and y=b

b = 2(3)+9

b = 6+9

b = 15

Answer:

Step-by-step explanation:

Take example of 5/4.

Reciprocal= 4/5

5/4>4/5

so reciprocal of a no. may be greater than or equal to the original no.

Answer:

1. 22+b

2. 7x

3. 6+t

4. Z(4+6)

5. -10+4a

6. N(8+-2)

7. X^2/2

4/5(m^2)

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

1.) b + 21

2.) x × 7 or 7x

3.) t + 6

4.) 4 + 6z

5.) -10+4a

6.) 8 +(-2n)

7.) (1/2)×n³

8.) (4/5)×m²

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Answer:

The answer for no 2 is x = 3+y or y+3

Answer:

??

Step-by-step explanation:

how

did you get 616? are you even looking at the 4 answers?????

if the rolls come in 8

then we check which multiples 8 and 10 have in common which is 40

8,16,24,32,40

10,20,30,40

which is 5 packages of rolls and 4 pack of hot dogs

if the rolls are 12

we check the multiples which they have in common

12,24,36,48,60

10,20,30,40,50,60

which is 5 packages of rolls and 6 pack of hot dogs

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1a. 128

1b. 81

1c. 64

1d. 25

1e. 343

1f. 100000

1g. 64

1h. 0

1i. 13

1j. 1

2a. 243

2b. 64

2c. 36

2d. 625

2e. 1331

2f. 10000000

2g. 81

2h. 0

2i. 17

2j. 1

Answer:

options b is correct

Does the answer help you?

Answer:

B. [tex]85[/tex]

Explanation:

This is a simple test of your knowledge about this sort of problem. When you get 2 parallel lines intersected the way you see in the picture, the lower right angle of the first intersection is equal to the upper left angle of the first line as well as the upper left and lower right angles of the second line so with that knowledge you can immediately identify that since the question gives you the measure of an angle equal to the angle you need to identify; you don't even need to do any math to find the answer for this question.

Answer:

2cm/present is the unit rate

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]

[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]

[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]

[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:  sqrt(x+1)+4

This is the same as writing [tex]\sqrt{x+1}+4[/tex]

The +4 is not under the square root

==========================================================

Explanation:

g(x) is the same as y, since they're both outputs of a function

So we have the starting equation y = (x-4)^2 - 1

Swap x and y and solve for y to get the inverse.

y = (x-4)^2 - 1

x = (y-4)^2 - 1

x+1 = (y-4)^2

(y-4)^2 = x+1

y-4 = sqrt(x+1) ... see note below

y = sqrt(x+1)+4

Note: Recall that [tex]x \ge 4[/tex] and we swapped x and y. This ultimately means [tex]y \ge 4[/tex] and this only occurs if we picked the positive version of the square root (ignoring the negative version).

Answer:

4fg

Step-by-step explanation:

regrouping terms leaves 4 f variables along with the 4 g variables, since f is also multiplied by g, that would leave the answer to be 4fg. (socratic)

(4g)

Step One: Remove/ Alter the equation= f(gx4)

Step Two: Do the equation= f(gx4); f (4)

I hope I've helped! If you need anything, ask away!

Answer:

Step-by-step explanation:

B ----> Base Area

Base is triangle

base = b = 10 in

height = h = 6 in

Area of base B = [tex]\frac{1}{2}bh[/tex]

                         [tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]

B = 30 in²

H = 15 in

Volume of triangular prism = BH

                                            = 30 * 15

                                            = 450 in³

Answer:

Does the answer help you?

Answer:

x = 65 units

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse), so

x² = 25 × (25 + 144) = 25 × 169 = 4225 ( take square root of both sides )

x = [tex]\sqrt{4225}[/tex] = 65 units

Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The given parameters are:

Male:                                                               Female

[tex]Minimum = 0[/tex]                                                 [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex]                                                              [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex]                                                    [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex]                                                            [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex]                                               [tex]Maximum = 18[/tex]

A. IQR  for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex]  ----- Male dataset                                                    

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

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Answer:

13 sports books and 10 unknown books is 23 books

Step-by-step explanation:

we already know scott read 23 books total, we also know that he read 10 mystery books.

subtracting 10 unknown books from 23 total books, we get 13 sports books as your answer

Answer:

1320 yds

Step-by-step explanation:

1 mile = 1760 yds

3/4 mile * 1760 yds/ 1 mile

1320 yds

Answer:

1 mile = 1720 yard

______ ________

0.75 x

cross multiply and solve for x

1320 yards is the answer

good luck in the future..

Answer:

the number is 2.66

Step-by-step explanation:

[tex]6.7+5x=20[/tex]

Step 1. Subtract 6.7 from both sides

[tex]5x=20-6.7[/tex]

[tex]5x=13.3[/tex]

Step 2. Isolate the variable

[tex]\frac{5x}{5} =\frac{13.3}{5}[/tex]

[tex]x=2.66[/tex]

The number is 2.66

Answer:

-0.5 > -7/11

Step-by-step explanation:

-7/11 = -0.636

-0.5>0.6