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3 years ago

Kyle anticipates that he will be in a higher tax bracket when he retires than he's in now.

Mathematics

1 answer:

kupik [55]3 years ago

3 0

Answer:

For Kyle, a Roth IRA would be a better choice if he wants to pay less tax, since the tax will be collected when he contributes funds.

Explanation:

If kyle falls in higher tax bracket when he retires, then Roth IRA is the best option.Roth IRA is an individual's retirement saving account that offers valuable tax benefits, that is the money invested within the Roth IRA is tax free and withdrawal in retirement will be tax free too.That is you contribute money now that you'll pay income taxes on this year, but the withdrawal will be tax free during retirement.

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To estimate the mean of a population with unknown distribution shape and unknown standard deviation, we take a random sample of

Naddika [18.5K]

Answer:

$t_{critical} = \pm 1.7793$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 64

Sample mean = 22.3

Sample standard deviation = 8.8

We want to estimate 92% confidence interval.

92% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

Degree of freedom = n - 1 = 63

$t_{critical}\text{ at degree of freedom 63 and}~\alpha_{0.01} = \pm 1.7793$

$22.3 \pm 1.7793(\dfrac{8.8}{\sqrt{64}} ) = 22.3 \pm 1.95723 = (20.34,24.26)$

7 0

3 years ago

Find the functional values g (-3), g (0), and g (5) for the compound function.

Zinaida [17]

Answer:

$g(-3)=7$

$g(0)=7$

$g(5)=\dfrac15$

Step-by-step explanation:

$g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\\dfrac{1}{x} & \text{if } x > 0\end{cases}$

This means:

when x is equal to zero or less than zero, g(x) will always be 7.

when x is more than zero, g(x) is $\frac{1}{x}$

$\implies g(-3)=7$

$\implies g(0)=7$

$\implies g(5)=\dfrac15$

5 0

2 years ago

Read 2 more answers

Identify the value of c in the following quadratic function f (x) = -2x^2+ 3x – 4

Hitman42 [59]

Answer:

-4

Step-by-step explanation:

Given function

f(x) = -2x² + 3x - 4

Comparing with ax² + bx + c We get

c = - 4

Hope it will help :)❤

5 0

3 years ago

Read 2 more answers

According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a

Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, $\mu$ = 2.58 and Standard deviation, $\sigma$ = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar $\leq$ 2.50)

P(Xbar < 2.66) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z < -1.68) = 1 - P(Z 1.68)

= 1 - 0.95352 = 0.04648

P(Xbar $\leq$ 2.50) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z $\leq$ -3.92) = 1 - P(Z < 3.92)

= 1 - 0.99996 = 0.00004

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0

3 years ago

Need to know the population in 2015

Margarita [4]

$\bf P=1110.9e^{kt}\quad 
\begin{cases}
P=1200 &\textit{in thousands}\\
t=2 &\textit{in 2002}
\end{cases}\implies 1200=1110.9e^{k2}
\\\\\\
\cfrac{1200}{1110.9}=e^{2k}\implies ln\left( \frac{1200}{1110.9} \right)=ln(e^{2k})\implies ln\left( \frac{1200}{1110.9} \right)=2k
\\\\\\
\cfrac{ln\left( \frac{1200}{1110.9} \right)}{2}=k\implies 0.0385755\approx k\implies 0.0386\approx k\\\\
-------------------------------\\\\$

$\bf P=1110.9e^{0.0386t}\qquad 
\begin{cases}
t=14\\
\textit{year 2015}
\end{cases}\implies P=1110.9e^{0.0386\cdot 14}
\\\\\\
P\approx 1907.0747\implies about\ 1,907,075\textit{ once rounded up}$

3 0

3 years ago