Answer:
n=-3
Step-by-step explanation:
3 * (n+1) = 2n
distribute
3n +3 = 2n
subtract 3n from each side
3n-3n+3 = 2n -3n
3 = -n
multiply by -1
-3 = n
Answer:
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Step-by-step explanation:
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<span><span><span><span>A house is valued every year. The building is appreciating at an average annual rate of 7%. Therefore, every year the value of the house is increasing.
Start Year </span>
<span> End Year </span>
</span>
<span>
1995
<span> 96,000.00 </span>
<span>
1.07 </span>
<span> 102,720.00
</span>
</span>
<span>
1996
<span> 102,720.00 </span>
<span>
1.07 </span>
<span> 109,910.40
</span>
</span>
<span>
1997
<span> 109,910.40 </span>
<span>
1.07 </span>
<span> 117,604.13
</span>
</span>
<span>
1998
<span> 117,604.13 </span>
<span>
1.07 </span>
<span> 125,836.42
</span>
</span>
<span>
1999
<span> 125,836.42 </span>
<span>
1.07 </span>
<span> 134,644.97
</span>
</span>
<span>
2000
<span> 134,644.97 </span>
<span>
1.07 </span>
<span> 144,070.11
</span>
</span>
<span>
2001
<span> 144,070.11 </span>
<span>
1.07 </span>
<span> 154,155.02
</span>
</span>
<span>
2002
<span> 154,155.02 </span>
<span>
1.07 </span>
<span> 164,945.87
</span>
</span>
<span>
2003
<span> 164,945.87 </span>
<span>
1.07 </span>
<span> 176,492.08
</span>
</span>
<span>
2004
<span> 176,492.08 </span>
<span>
1.07 </span>
<span> 188,846.53
</span>
</span>
<span>
2005
<span> 188,846.53 </span>
<span>
1.07 </span>
<span> 202,065.79
</span>
</span>
<span>
2006
<span> 202,065.79 </span>
<span>
1.07 </span>
<span> 216,210.39
</span>
</span>
<span>
2007
<span> 216,210.39 </span>
<span>
1.07 </span>
<span> 231,345.12
</span>
</span>
<span>
2008
<span> 231,345.12 </span>
<span>
1.07 </span>
<span> 247,539.28
</span>
</span>
<span>
2009
<span> 247,539.28 </span>
<span>
1.07 </span>
<span> <u> 264,867.03
</u><u></u>Boyce's home is valued at $264,867.03 at the end of 2009.
Or it can be valued using the Future Value formula:
FV = (1+r)^n * PV
PV = 96,000
r = 7%
n = 15 years
FV = (1 + 0.07)</span></span></span></span>¹⁵ x 96,000
FV = (1.07)¹⁵ x 96,000
FV = 2.759 x 96,000
FV = 264,864
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