Question

In the month of February, Doodle Incorporated made 4,000 fidget

spinners. Sales were so good that the owner set a goal to increase
production of the spinners by 13% each month until the production
reached 40,000. About how many months would that take? Round to
the nearest month.

Answer 1

19 months

Explanation:

As an equation, this can be represented as: x=4000(1.13ᵃ), where x is the amount being produced now and a is the time in months. To find our answer, let x equal 40,000.

40000=4000(1.13ᵃ)

10=1.13ᵃ

log(1.13)(10)=a

a≈18.84, or 19 months