SOLUTION: I'm struggling to answer this question. Can I please get some help? I would really appreciate. The sales of a new electronic gadget are growing exponentially such that a total

Question 809893: I'm struggling to answer this question. Can I please get some help? I would really appreciate.
The sales of a new electronic gadget are growing exponentially such that a
total of 10000 gadgets were sold in 2000 and 82700 gadgets were sold in
2002. If this trend continues, in what year will sales of the gadget reach or
exceed 500 000?
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!

y is amount of sales, how many of the gadget sold,
A is initial amount sold at beginning reference time, arbitrarily at x=0
k is a constant
x is time in years since year 2000.

The description indicates A=10000, which is for x=0, same as year 2000.

Data point, (x,y), (2, 82700) will allow us to find k.
Solve for k from the general equation first:

Substitute the coordinates from the data point.

The model equation to use is then

Question --- y=500000? What is x?
Just start with the found model equation, solve for x, and plug-in the value given for y.
RELATED QUESTIONS
Can I please get some help to complete the following question? I would really appreciate... (answered by josmiceli)

Can I please get help to solve 'x' for the following question? I would really appreciate... (answered by MathLover1)

Can I please get some help to Solve the following for 'a' and graph the solution on a... (answered by josmiceli)

Can I please get some assistance to solve a of the following equation to be graphed onto... (answered by CubeyThePenguin)

I would appreciate some help on this question please! During a sale, the price of a... (answered by josmiceli)

Hello, I am struggling with this homework problem. I need to solve for "x" of course, but (answered by bucky)

Can I please get some assistance to solve 'x' for the following question? I would... (answered by josgarithmetic)

Hi, I'm struggling with this test question that I'm really confused on: "In triangle... (answered by Boreal)

Hey, I'm really struggling with these 3 three math questions about quadratic... (answered by richwmiller,josgarithmetic)