A loan of $2,000 dollars is being paid off over time. You have automatic payments set up to pay $50 towards the loan each month. You also work and save money in your bank account. You currently have $500 in the bank and save an additional $100 per month. What is the earliest you could pay off you loan?

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%

Answer:

n= 19/7 I hope this helped!

Step-by-step explanation:

Answer:

2.714285714285714

Step-by-step explanation:

Answer:

The translation corresponds to a translation of 13 units to the right

Step-by-step explanation:

Translation of a Graph

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

Answer:

The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Step-by-step explanation:

Answer:

1.Neither

2.Discrete

3.Discrete

4. Continuous

Step-by-step explanation:

Discrete Data can only take certain values. The number of students in a class

We can't have half a student!

1. The graph in option 1 is Neither.

2. The graph in option 2 is discrete.

3. The graph in option 3 is discrete.

4. The graph in option 4 is continuous.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In discrete mathematics, and more specifically in graph theory.

A graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

1. The graph in option 1 is Neither. It is not discrete and continuous.

2. The graph in option 2 is discrete. The values of the data are not in a specific pattern.

3. The graph in option 3 is discrete. The values of the data are not in a specific pattern.

4. The graph in option 4 is continuous. The points in the graph are varying continuously.

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Answer:21

Step-by-step explanation:

21

Answer:

Step-by-step explanation:

[tex]\frac{36}{9}[/tex] = 4

I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

Total number of sandwiches = 36

Total pounds of ham = 9 pounds

per pound = 36 ÷ 9 = 4 sandwiches

Ham per sandwich = 0.25 pounds

Answer:

I think 8

Step-by-step explanation:

i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8

sorry if im totally wrong

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

You can add the x together, 2+3 is 5 so we have 5x.

The you add the other numbers, -8+-2 is -10.

You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.

Answer:

13 1/2 is your answer.

Step-by-step explanation:

With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Saul can cut 4 lawns in 6 hours.

The ratio of hours to lawns will be as,

6/4

Suppose the time taken to mow 9 lawns to Mitch is x hours.

The ratio of hours to lawns will be as

x/9

Since the rate is the same thus ratio must be the same.

x/9 =  6/4

x = 6/4 x 9

x = 13.5 = 13 + 1/2

Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".

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Answer:

11h + 15

Step-by-step explanation:

3(2h+5)+5h | Given

6h + 15 + 5h | Distribute

11h + 15 | Combine like-terms

Answer:

a= 80

b= .25

Step-by-step explanation:

We know that a has to equal 80 because

[tex]a(b)^0=80\\a=80[/tex]

We can then just solve for b

[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]

The English translation of the question is

A reservoir was full at the end of May. In the month of June 3/10 of its reserves were consumed and at the end of July only half remained. What fraction of the reservoir was consumed during the month of July?

Answer:

1/5 of the Reservoir will be consumed in the month of July.    

Step-by-step explanation:

We are given

Full reservoir at the end of month May. In the month of June 3/10 of the reservoir was consumed.

Amount present in the Reservoir at the end of the month June will be = 1 -3/10

                                                                                                          = 7/10

Now this 7/10 of the Reservoir will be used for the next month which is July

It is given that at the end of July only 1/2 of the Reservoir is remained that means the amount that was left at the end of the Month June will be used for the month July. So the amount consumed in the month of July will be

    Amount consumed  =  7/10 - 1/2

                                     = 2/10 = 1/5

Therefore 1/5 of the reservoir will be consumed in the month of July.    

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Answer:

down five units, and left three units.

Step-by-step explanation:

The bottom corner moved down five units.

Then that point moved three units to the left.

It's the same for the other points too.

Answer:

yes

Step-by-step explanation:

Move 4x to the right to get y= -4x + 5. This is a linear equation because the graph of it is a straight line.

Answer:

x>−5

Step-by-step explanation:

Answer: Arnav is 1.8m

Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8

:D

Answer:

1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

Answer: (4 3/5) x (3 1/2)

23/5  (3 1/2)

23/5 (7/2)

161/10 =

your answer is 16 1/10

Step By-step explanation:

Answer:

5km

Step-by-step explanation:

1/2xbxh

1/2x 2x5= 5

Answer:

5 km.

Step-by-step explanation:

1/2 times base times height.

1/2 times 5 times 2

= 5

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

Step-by-step explanation:

(2.3)^2 +5^2= ?

=6^2 +5^2

= 61

Answer:

THXSSSS UUUU SWOOOO MUCHHHHHHH

Step-by-step explanation:

Answer:

The area of this trapezoid is 8cm

Answer:

130

Step-by-step explanation:

first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,

112 + 9 + 9 = 130

Answer:

the answer is false

Step-by-step explanation:

just cause it is

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

Answer:it should be $23.80

Step-by-step explanation:28/100x85=23.80