Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of
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Given:
The value of home in 2011 is $95,000.
The value of home in 2018 is $105,000.
To find:
The exponential model for the value of the home.
Solution:
The general exponential model is
...(i)
where, a is initial value and b is growth factor.
Let 2011 is initial year and x be the number of years after 2011.
So, initial value of home is 95,000, i.e., a=95,000.
Put a=95000 in (i).
...(ii)
The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.
Taking 7th root on both sides, we get
Put in (ii).
Therefore, the required exponential model for the value of home is , where x is the number of years after 2011.
<span>1) Multiply both sides of the equation by 2:
2(A)=2[1/2h(b+c)
2A=2/2h(b+c)
2A=1h(b+c)
2A=h(b+c)
2) Divide both sides of the equation by (b+c):
(2A)/(b+c)=[h(b+c)]/(b+c)
2A/(b+c)=h
h=2A/(b+c)
Answer: </span>
2(A)=2[1/2h(b+c)
2A=2/2h(b+c)
2A=1h(b+c)
2A=h(b+c)
2) Divide both sides of the equation by (b+c):
(2A)/(b+c)=[h(b+c)]/(b+c)
2A/(b+c)=h
h=2A/(b+c)
Answer: </span>