Jenny will move forward and Tom will move backwards.
Answer:
a) Absolute Value Inequality => Absolute(0 + y) < 2
b) -2 < y < 2
Which means, Johnson Family has to live within the range of -2 to +2 from the fire department. Otherwise, they will have to pay 500 USD as increased deductible.
Explanation:
<u><em>Johnson Family has to live within the range of -2 to +2 from the fire department.
</em></u>
<em>a) Absolute Value Equation:</em>
Absolute(0 + y) < 2
where y represent the location of the new house and 0 represents the location of the fire department.
Furthermore,
<em>Absolute(0 + y) < 2 = (0 + x) < 2 when (0 + y) is +ve. </em>
and
<em>Absolute(0+y) <2 = -(0 + x) < 2 when (0 + y) is -ve.
</em>
b) When (0 + y) is +ve,
we have, (0 + y) < 2.
<em>Solving for y and subtracting 0 from both sides. </em>
0-0 + y < 2 - 0
<em>y < 2</em>
and when (0 + y) is -ve,
<em>we have, - (0 + y) < 2.
</em>
Solving for y:
- 0 - y < 2
multiplying negative from both sides
<em>y > - 2</em>
<em>So, we have -2 < y < 2 </em>
<em>Johnson Family has to live within the range of -2 to +2 from the fire department. Otherwise, they will have to pay 500 USD as increased deductible. </em>
Answer:
Zero- there is a $10 Million exemption equivalent ( d )
Explanation:
Annual exemption to be ignored = $15000
$1 million to an irrevocable trust
taxable gifts = $6 million
A) The amount of gift tax Nathan must remit in 2017 ignoring annual exemption
The gift tax must remit in 2017 is zero because there is a $10 million exemption because of the annual exception ( even if the annual exception is ignored ) and the lifetime benefits on taxable gifts that Nathan has is approximately $11.4 million, hence he wont be remitting any amount on gift tax in 2017
Answer: The actual rate of the mortgage is 5.27%.
Since we're taking two mortgages for a total of $200,000 for 30 years, we can find the actual rate of the mortgage by finding the weighted average of the two rates. The weights in this case will be the proportion of loan taken at each rate
We have
Rates Weights Rates * Weights
4.15 0.80 
9.75 0.20 
Total 5.27%
