Respuesta :
Answer:
This is an exponential growth problem.
The growth rate is 4% (0.04).
The time is 10 years (10 years from 2005 to 2015)
A = P(1+i)t
A = amount spent in 2015
P = amount spent in 2005
i = interest rate expressed as a decimal
t = # years
A = 500(1.04)10
A = 500(1.480244)
A = 740.122 ==> 740 billion
Step-by-step explanation:
Answer: 740 billion will be spent at restaurants in 2017.
Given: The growth rate is 4% = 0.04.
The time is 10 years (10 years from 2005 to 2015)
We will use the formula:
[tex]A = P(1+i)^t[/tex]
- A = amount spent in 2015 = ?
- P = amount spent in 2005 = $360 billion
- i = interest rate expressed as a decimal = 0.04
- t = The number of years = 10
Using the formula:
[tex]A = 500(1.04)^{10}\\A = 500(1.480244)\\A = 740.122 \\ A=740 \ billion[/tex]
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