There is a drought and the oak tree population is decreasing at the rate of 6% per year. if the population continues to decrease at the same rate, how long will it take for the population to be a third of what it is? if necessary, round your answer to the nearest tenth. the population will reach a third of its original value in approximately years

17.8 years

Step-by-step explanation:

To find the population in a future year, use the formula:

where A is the amount, p is the starting population, r is 6% or 0.06, and t is the number of years.

Since the population is decreasing it is subtraction. Here we are finding t, A=1 P =3, and r=0.06.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

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step-by-step explanation:

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