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shutvik [7]
3 years ago
7

Directions: Read the scenario below and calculate what Marcus' pay is after deductions are

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

$346.65

Step-by-step explanation:

If Marcus worked a total of 40 hours, and he earns 10$ an hour, his payment before deductions is 400$, as put in the "gross pay".

We need to sum all the deductions:

9.75 + 3.10 + 30 + 10.5 = 53.35

Now, to know Marcus net pay, we just need to subtract his gross pay from this total deduction:

400 - 53.35 = 346.65

So, his net payment is $346.65

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I need help with these questions​
attashe74 [19]

Answer:

29. D

30. A

31. 15

32. -34

33. -241

34. -36

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where
boyakko [2]

Answer:

a)X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

b)Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

Step-by-step explanation:

From the question we are told that

The Function

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

Generally the differentiation of function f(x) is mathematically solved as

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

f(x)=\frac{x^3+x^2+5x+1}{x^2}

Therefore

f'(x)=\frac{x^2+10x+3}{x^4}

Generally critical point is given as

f'(x)=0

\frac{x^2+10x+3}{x^4}=0

x=-5 \pm\sqrt{22}

Generally the maximum and minimum x value for critical point is mathematically solved as

f'(-5 \pm\sqrt{22})

Where

Maximum value of x

f'(-5 +\sqrt{22})

Minimum value of x

f'(-5 +\sqrt{22})

Therefore interval of increase is mathematically given by

f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})

f(x)

Therefore interval of decrease is mathematically given by

(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)

Generally the second differentiation of function f(x) is mathematically solved as

f''(x)=\frac{2(x^2+15x+6)}{x^5}

Generally the point of inflection is mathematically solved as

f''(x)=0

x^2+15x+6=0

Therefore inflection points is given as

x=\frac{1}{2} (-15 \pm \sqrt{201}

f''(x)>0,\frac{1}{2}(-15-\sqrt{201})

a)Generally the concave upward interval X is mathematically given as

X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

f''(x)

b)Generally the concave downward interval Y is mathematically given as

Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

5 0
3 years ago
I need some help with this
masya89 [10]

Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

m\angle K=m\angle M=90^{\circ}

In these right triangles:

  • \overline{NL}\cong \overline {NL} - reflexive property;
  • \angle KLN\cong \angle MLN - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]

Since

\overline{KN}\cong \overline{NM},

then

7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

4 0
3 years ago
Given the function f(x) = 2x, find the value of f−1(32).
sergeinik [125]

Answer:

find the inverse

exchange x for y and  y for x

y=2x

then

x=2y---------> clear y

y=x/2

f−1(x)=x/2

for x=32

f−1(32)=32/2----------> 16

the answer is 16

3 0
3 years ago
What is the first step when solving this equation?
notka56 [123]

Answer:

Distribute

When you have an equation like this, distribute first and then add or subtract like terms to solve for x.

Hope this helps!!

6 0
3 years ago
Read 2 more answers
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