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Artist 52 [7]
2 years ago
14

!!

Mathematics
1 answer:
Luba_88 [7]2 years ago
5 0

Answer:

<u>$2142.86</u>

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

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

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

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

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = <u>$2142.86</u> (nearest cent)

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Let $f$ be a function such that $f(x+y) = x + f(y)$ for any two real numbers $x$ and $y$. if $f(0) = 2$, then what is $f(2012)?$
marusya05 [52]

<span>Given:

f(0) = 2</span>

So first of all, we let x = 2012, y = 0: 

<span>
Then, F(2012) = 2012 + f(0)

Since f(0) = 2, then f(2012) = 2012 + 2 = 2014.

To add, </span>the process that relates an input to an output is called a function.

 

 

<span>There are always three main parts of a function, namely:

</span>Input

The Relationship

The Output

 

The classic way of writing a function is "f(x) = ... ".

 

What goes into the function is put inside parentheses () after the name of the function: So, f(x) shows us the function is called "f", and "x" goes in.

 

 

What a function does with the input can be usually seen as:

 

<span>f(x) = x2</span><span> reveals to us that function "f" takes "x<span>" and squares it.</span></span>

3 0
3 years ago
What is the approximate value of k?
lesya692 [45]

Hello from MrBillDoesMath!

Answer:

5.06

Discussion:

Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,

From the law of sines

sin(120)/k = sin(20)/2  =>

sin(120) =  k *  (  sin(20)/2) )                (multiply both sides by "k")

k = sin(120)/  (   sin(20)/2)                    (divide both sides by sin(20)/2)

k =  (0.866) /  ( 0.171) =  5.06


Regards,  

MrB

 P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


6 0
3 years ago
Evaluate.
Temka [501]

9514 1404 393

Answer:

  -7/48

Step-by-step explanation:

Put the numbers in place of the corresponding variables and do the arithmetic.

  \dfrac{-\left|1\dfrac{7}{8}+(-1)\right|}{2-(-4)}=\dfrac{-\dfrac{7}{8}}{6}=-\dfrac{7}{8\cdot6}=\boxed{-\dfrac{7}{48}}

8 0
3 years ago
What is the measure of x in degrees ?
mr Goodwill [35]

Answer:

x = 35°

Step-by-step explanation:

Same side interior angles are supplementary, or they add up to 180°. So write an equation:

x+145=180

Solve for x. Subtract 145 from both sides:

x+145-145=180-145\\\\x=35

The value of x is 35°.

:Done

8 0
3 years ago
Write an equation if the line that passes through (0,-3) and (3,3) .
liq [111]

Answer:

y = 2x - 3

Step-by-step explanation:

y = mx + b

m = (y2-y1)/(x2-x1)

m = (3-(-3))/(3-0)

m = 6/3

m = 2

y = mx + b

y = 2x + b

3 = 2(3) + b

3 = 6 + b

b = -3

therefore

y = 2x - 3

6 0
3 years ago
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