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Exponential Growth and Decay
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Simplify completely
10m^2[sqrt(2n)]
Simplify completely
3[sqrt(6)]
Given the sequence {6144, 3072, 1536, …} write the rule and find the fifteenth term.
6144[0.5^(n-1)]; 0.375
The home whose value is modeled by the equation below was purchased in 1998. How much will the house be worth this year (2023)?
$3496.47
If the savings account modeled by the equation shown was opened in 2010, how much would it be worth in 2035?
$42,461.08
The value of a home is modeled by the following equation. What is the rate at which it is losing value?
15.7%
A savings account is modeled by the following equation. At what rate is the account incurring interest?
13%
What is the value of "a"?
0.5 or 1/2
Is the graph growth or decay?
Decay
What is the equation of the asymptote?
y = -4
Is the following Growth or Decay?
Growth
Given the sequence {-2, 6, -18, …}, write a rule and find the 8th term.
y = -2(3^n-1); 4374
Scott purchased a painting in 2006 for $1,250. Since then, its value has increased by 6% each year. How much will the painting be worth in 2017?
$2372.87
A car bought for $13,000 depreciates at 15% per year. What will the car be worth in 5 years?
$5678.17
A population of a city is 422,000 and increases by 12% each year. What is the population after 8 years?
1,044,856 People
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