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hey can you do me a favour and check this for me
the number of gadgets sold in 2000 were 10 000 and in 2002, 82700 gadgets were sold growing exponentially. What year would the sales reach 500 000?
Show full calculations
Number of gadgets sold with exponential growth =
10 000 in 2000
82700 in 2002
500 000 in what year
Form: y = ab^x
Solve for a and b.
82700 = ab^2
10000 = ab^0
a = 10000
b^2 = 82700/10000
b^2 = 8.27
b = 2.8757
y = 10,000*2.8757^x
Solve 10,000*2.8757^x > 500,000
2.8757^x > 50
x*log(2.8757) > log50
x > 3.7035 years
Year 2000 + 3.7 = year 2004
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