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777dan777 [17]
3 years ago
6

You recently deposited $2000 in a bank account during your first year at work.

Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

A. $12,000

B. $147,000

Step-by-step explanation:

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Two legs are 3√2. The triangle is 45-45-90. What is the hypotenuse?
lana [24]
The answer is:   [A]:  "6" .
________________________________________________________
Explanation:
________________________________________________________

Using the Pythagorean theorem to solve for the hypotenuse of a right triangle:

                a² + b² = c² ;

in which "c" is the length of the "hypotenuse" (for which we are to solve);
   & "a" and "b" are the lengths of the other 2 (two) sides.

In this case, "a" and "b" are "equal lengths" ; 

that is:  a = b = 3√2 ;

So "(3√2)² + (3√2)² = c² " ; Solve for "c" ; 

↔  c² = (3√2)² + (3√2)² ; 

→  c² = 2*(3√2)² = 2 * (3²) * (√2)² ;

                            =  2 * 9 * 2 ; 

                            = 18 * 2 = 36 ;

→ c² = 36 ; 

Take the positive square root of each side of the equation ; to isolate "c" on one side of the equation ; & to solve for "c"  (the length of the hypotenuse);

→  +√(c²) = +√36 ; 
 ______________________________________________________ 
      →  c = 6  ;  which is:  "Answer choice:  [A]:  "6" .
_______________________________________________________
  
5 0
3 years ago
Read 2 more answers
Assignment: Function Equations Investigation
kakasveta [241]

Function 1:

For the given table

\begin{array}{cc}x&f(x)\\-2&-2\\-1&1\\0&4\\1&7\end{array}

you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.

Function 2:

For the given function f(x)=-2x+3 you can create a table

\begin{array}{cc}x&f(x)\\-2&7\\-1&5\\0&3\\1&1\end{array}

and plot the graph (see second attached diagram).

Function 3:

For the given graph of the function, you can find the function:

\dfrac{x-0}{6-0}=\dfrac{y-(-3)}{0-(-3)},\\ \\\dfrac{x}{6}=\dfrac{y+3}{3},\\ \\2(y+3)=x,\\ \\y=\dfrac{1}{2}x-3.

Thus, the equation of the function 3 is f(x)=\dfrac{1}{2}x-3.

The table will take a look

\begin{array}{cc}x&f(x)\\-2&-4\\-1&-3.5\\0&-3\\1&-2.5\end{array}



3 0
4 years ago
16. In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-
sergey [27]

Answer:

Step-by-step explanation:

Total number of students = 68

Let history = H

Maths = M

English = E

n(H) = 25

n(M) = 25

n(E) = 34

n(HnMnE) = 3

Total = n(H) + n(M) + n(E) - people in exactly two groups + 2(people in exactly 3 groups) + people in none of the groups

68 = 25 + 25 + 34 - people in exactly two groups - 6 +0

68 = 84 -6 - people in exactly two groups

68 = 78 - people in exactly two groups

People in exactly two groups = 78 - 68

= 10

OR

From the venn diagram, people in exactly two groups are represented by x, y and z

Total = 25 - x - y - 3 + 25 - x - z - 3 + 34 - y - z - 3 + x + y + z + 3

68 = 50 - x - 3 + 34 - y - z - 3

68 = 84 - 6 - x - y - z

68 = 78 - x - y - z

68 - 78 = - x - y - z

-10 = -(x + y + z)

x+y+z = -10/-1

x+y+z = 10

The number of students that registered for exactly two courses = 10

4 0
3 years ago
Read 2 more answers
Sorry about the picture quality on this app for pics just isn’t it for me lol <br><br> (NO LINKS)
Anastasy [175]

Answer:

negative association

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The quotient of a number and 3 is 6
KengaRu [80]

Step-by-step explanation:

the quotient of a number and 3 is 6

Solution,

Let the number be x, then

\frac{x}{3}  = 6 \\ x = 6 \times 3 \\ x = 18

5 0
3 years ago
Read 2 more answers
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