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Rudik [331]
3 years ago
12

Zeituni's standard deduction on her federal income tax return is $5700. If she paid $4670 in state taxes and $1180 in mortgage i

nterest last year, should she use her standard deduction?
Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
6 0

Answer:

The answer is No.

Step-by-step explanation:

Zeituni's standard deduction on her federal income tax return is $5700.

she paid $4670 in state taxes and $1180 in mortgage interest last year, totaling to  : 4670+1180=$5850

So, no, she should not use her standard deduction because it is less than the deduction she will get from itemizing.

Taya2010 [7]3 years ago
3 0

Answer:

No, because it's less than the deduction she would get from itemizing.

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Mandarinka [93]
Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c}  \right)+c
\end{cases}
\\\\\\
8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c

what's the speed of the boat?  well, 5 + c = b.
6 0
3 years ago
the boiling point of water is 212•F. the boiling point of helium is -452•F. how would you compare the temperatures using an ineq
Luden [163]

-452°F < 212°F

A negative number is always less than a positive number.

6 0
3 years ago
Read 2 more answers
Differentiate the equation to find the functions for <br> Velocity v= ds/dt
horrorfan [7]

Differentiation from First Principles is a formal method for determining a tangent's gradient.

<h3>What is meant by differentiation?</h3>

Finding a function's derivative is the process of differentiation. It is also the process of determining how quickly a function changes in relation to its variables.

According to the Sum rule, a sum of functions' derivatives equals the sum of those functions' derivatives. The derivative of two different functions is the difference of their derivatives, according to the Difference rule.

Differentiation from First Principles is a formal method for determining a tangent's gradient. The straight line connecting any two locations on the curve that are fairly near to one another will have a gradient that is similar to that of the tangent at those places.

s(t) = ∫vdt = ∫sin(πt)dt = (-cos(πt))/π + c

substituting the values t = 3, we get

s(-3) = (-cos(-3π))/π + c = 0

simplifying the above equation, we get

(-cos(3π))/π + c = 0

1/π + c = c

c = -1/π

Therefore, the correct answer is s(t) = (-cos(πt))/π - 1/π = (-cos(πt) - 1)/π.

The complete question is:

Given the velocity v=ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v=sin(pi*t), s(-3)=0

To learn more about Differentiation refer to:

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7 0
1 year ago
Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

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y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

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4 = -3 + b

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So equation 2 is y = - x + 7.

Now we check if  (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore  (2, 5) is on this line.

Verifying if (2, 5)  is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 =  1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

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2 years ago
Gerard ran out of tile for his patio.The width of the remaining area 2 2/9 feet.The length of the remaning area is 7 feet.How mu
nikklg [1K]
Length X Width =
2 x 7 = 14
2/9 x 7 = 44/9
14 + 44/9 = 18 8/9
He has 18 8/9 feet left to tile.
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