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expeople1 [14]
3 years ago
6

You earned $62,715 this year and your Income tax calculator says you owe $8,818 in taxes. But you neglected to deduct $1,000 for

your dependent Grandfather and the $5,000 you put in an IRA. This reduces your income by $6,000 to $56,715. Your new effective tax rate is 10.70%. What is the difference in your old $62,715 based tax debt and the updated tax debt with another dependent and the IRA contribution?
Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer: 2,749.50

Step-by-step explanation:

56,715*10.70% = 6068.505

8818 - 6068.505 = 2,749.50

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use the steps of simultaneous

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Misha Larkins [42]

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24.24

Step-by-step explanation:

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Find the linear approximation for f(x) = 12x3 + 3x2 + x + 2 at x= 1.
Alchen [17]

Answer:

y = 43x − 25

Step-by-step explanation:

Evaluate the function at x=1:

f(x) = 12x³ + 3x² + x + 2

f(1) = 12 + 3 + 1 + 2

f(1) = 18

Find the slope of the tangent line at x=1:

f'(x) = 36x² + 6x + 1

f'(1) = 36 + 6 + 1

f'(1) = 43

Point-slope form:

y − y₀ = m (x − x₀)

y − 18 = 43 (x − 1)

Convert to slope-intercept form:

y − 18 = 43x − 43

y = 43x − 25

Graph:

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8 0
3 years ago
Using Geometric Mean, solve for x.
ehidna [41]

Answer:

x = 6 units

Step-by-step explanation:

By geometric mean property:

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3 0
3 years ago
The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldes
Angelina_Jolie [31]

Answer:

- September

Step-by-step explanation:

The temperature in Beijing, in m months after January, is given by the following equation:

T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45

In which m is the number of months after January.

During which month in the year would the temperature reach 55°F?

We have to find m for which: T(m) = 55. So

T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45

55 = 27\cos{((\frac{\pi}{6})(m-6))} + 45

27\cos{((\frac{\pi}{6})(m-6))} = 10

\cos{((\frac{\pi}{6})(m-6))} = \frac{10}{27}

Now, we apply the inverse cosine, on both sides of the equation, to find the value of m.

\cos^{-1}{\cos{(\frac{\pi}{6})(m-6)}} = \cos^{-1}{\frac{10}{27}}

Now, with the help of a calculator, in radians:

\frac{\pi}{6}(m-6) = 1.19

\pi m - 6\pi = 6*1.19

\pi m = 6*1.19 + 6 \pi

m = \frac{6*1.19 + 6 \pi}{\pi}

m = 8.27

8.27 months after January, since 8.27 + 1 = 9.28, it happens during the month of September.

5 0
3 years ago
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