We are given the following
<span>gross income = $117,151
$2,713 = interest on mortgage
$2,791 = business losses
$1,346 = alimony,
$2,086 = property taxes
$2,376 = contributions to charity
$1,091 for contributions to retirement fund.
</span><span> standard deduction for a single filer = $5,700
exemptions = $3,650 </span>each worth
Adding all the deductions and subtracting it to the gross amount will give us
<span>b. $9,350</span>
Answer:
-390 mph
Step-by-step explanation:
Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...
d² = a² + b²
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
Solving for d', we get ...
d' = (a/d)a' +(b/d)b'
The value of d at the time of interest is ...
d = √(a² +b²) = √(30² +40²) = √2500 = 50
Then the rate of change of separation is ...
d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph
d' = -390 mph
The distance between planes is decreasing at 390 miles per hour.
Answer:
f x y z 4y cos (< x >) y x sin z z xy k s is the hemisphere x2 y2 z2 25 z ≥ 0 oriented upward
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