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Amiraneli [1.4K]
3 years ago
15

The following scenario is used for questions 3-7: Jack makes $700 per week. He puts $25 into a retirement account. He pays $31.5

6 for health care and $48.85 is deducted for federal taxes and $11.54 for state taxes. Additionally, he must pay 6.2% for Social Security and 1.45% for Medicare How much is deducted for SOCIAL SECURITY?​
Mathematics
1 answer:
Pavel [41]3 years ago
4 0

Answer:

588.39

Step-by-step explanation:

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In what time will a sum of money double itself at 5 parcent compound interest payable half yearly
ella [17]

Answer:

The Time in which sum of money double itself is 14 years .

Step-by-step explanation:

Given as :

The principal money = P

The rate of interest = R = 5 %  payable half yearly

The Amount = Double of principal

Let The time in which sum become double = t years

I.e A = 2 P

<u>From Compounded method</u>

Amount = principal × (1+\dfrac{\textrm rate}{2\times 100})^{2\times \textrm time}

or, 2 P = P  × (1+\dfrac{\textrm 5}{2\times 100})^{2\times \textrm t}

Or, 2 = (1.025)^{2 t}

Or, Taking log with base 10 both side

So, Log_{10}2 = Log_{10} (1.025)^{2 t}

or, 0.3010 = 2 t ×  Log_{10} 1.025

Or, 0.3010 =  2 t × 0.010723

Or, 0.3010 = 0.021446 t

∴ t = \frac{0.3010}{0.021446}

I.e t = 14.03 years ≈ 14 years

So, The time period = T = 14 years

Hence The Time in which sum of money double itself is 14 years . Answer

3 0
3 years ago
10 x ( -9 + (-6) ) <br> --------------------------
babymother [125]

Answer:

This graph will help you.

Step-by-step explanation:

3 0
3 years ago
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A pond has 150 fish and the population decrease by 8% each day
marta [7]
After 21 days, the answer is 26 fish.
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Tennessee Bounce Parties charges $20 per hour plus $80 for an inflatable rental. Jump Jump Bounce charges $30 per hour plus $30
Keith_Richards [23]

Answer:

At 5 hours and $180

Step-by-step explanation:

Just put them into an expression and make them equal to each other then solve for x.

20x+80=30x+30

5 0
2 years ago
1) A traditional die is a cube with each of its six sides representing the numbers from 1 to 6. Mr. Dicey customized a die by re
liraira [26]

Answer:

1) \frac{2}{5}

2) 49.225

3) \frac{7}{2}

Step-by-step explanation:

1) To find the expected value of the dice we can use the following equation:

E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})

So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:E(x)=(\frac{1}{1} *\frac{1}{6}) +(\frac{1}{2} *\frac{1}{6}) +(\frac{1}{3} *\frac{1}{6})+(\frac{1}{4} *\frac{1}{6})+(\frac{1}{5} *\frac{1}{6})+(\frac{1}{6} *\frac{1}{6})

E(x)=0.167+0.083+0.056+0.042+0.033+0.028=0.409\approx \frac{2}{5}

2) To find the variance of the expected values we can use the equation:

Var(x)=\frac{\sum_{i=1}^{n}(x_{i}-\overline{x})^{2} }{n}

So for our problem will be:

Var(x)=\frac{(3-10.5)^2+(4-10.5)^2+(17-10.5)^2+(18-10.5)^2}{4}

Var(x)=\frac{56.25+42.25+42.25+56.25}{4}Var(x)=\frac{196.9}{4}=49.225

3) To find the expected value of the dice we can use the following equation:

E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})

So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be:E(x)=(1*\frac{1}{6}) +(2 *\frac{1}{6}) +(3 *\frac{1}{6})+(4 *\frac{1}{6})+(5 *\frac{1}{6})+(6 *\frac{1}{6})

E(x)=0.17+0.33+0.5+0.67+0.83+1=3.5\approx \frac{7}{2}

7 0
3 years ago
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