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Mars2501 [29]
3 years ago
5

The gross income of Maurice Vaughn is $785 per week. His deductions are $42.25, FICA tax; $90.33, income tax; 2% state tax; 1% c

ity tax; and 3% retirement fund. What is his net income for one week?
Mathematics
1 answer:
vivado [14]3 years ago
3 0
State tax = 2% of 785 = 0.02 x 785 = $15.70
city tax = 1% of 785 = 0.01 x 785 = $7.85
retirement fund = 3% of 785 = 0.03 x 785 = $23.55

Total deductions = $42.25 + $90.33 + $15.70 + $7.85 + $23.55 = $179.68

Net income = $785 - $179.68 = $605.32
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The half-life of cesium-137 is 30 years. Suppose we have a
VMariaS [17]
(a) If y(t) is the mass (in mg) remaining after t years, then y(t) = y(0) e^{kt}=100e^{kt}.

y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}

(b) y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}

(c)
100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
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3 0
3 years ago
1. If AABC SADEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct
bulgar [2K]

Answer:

x=9

Step-by-step explanation:

<u><em>The correct question is</em></u>

If Triangle ABC is congruent with triangle DEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct  value of x?

we know that

If two triangles are congruent, then their corresponding sides and their corresponding angles, are congruent

In this problem

The corresponding sides are

AB and DE

AC and DF

BC and EF

The corresponding angles are

∠A and ∠D

∠B and ∠E

∠C and ∠F

so

AB≅DE

AC≅DF

BC≅EF

and

∠A≅∠D

∠B≅∠E

∠C≅∠F

<em>Find the value of x</em>

BC≅EF

substitute the given values

2x-5=13

Solve for x

2x=13+5

2x=18

x=9

4 0
4 years ago
ace wants to buy clothes for his birthday. He has $40. He purchase a white shirt for $14. He spends the rest of his money on bla
anygoal [31]

Answer:

14+ 8n<40

Hope this helps

7 0
3 years ago
11+11 im 4 i need help
MrRa [10]
1.) 11 + 11. Let's solve this in steps.

2.) 11 + 11 = 10 + 10 + 2

3.) 10 + 10 = 20

4.) 20 + 2 = 22

5.) 22 = answer
5 0
3 years ago
Read 2 more answers
How do I find domain?
attashe74 [19]
Find the domain by finding where the expression is defined.


Inveral Notation: [3,6) ∪ (6, ∞)

Set Builder Notation:{x|x ≥3,x ≠6}

8 0
3 years ago
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