In the smoky mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by P = 10.0 ln

Question

3 years ago

15

In the smoky mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by P = 10.0 ln

h - 80, where P is the percent of snow moisture at an altitude h feet. What altitude corresponds to 5 percent snow moisture. Round to the near hundred feet. A. About 4,900 ft B. About 14,800 C. About 1,000 ft D. About 2,700 ft

Mathematics

1 answer:

Mars2501 [29] · Answer 1 · 2022-01-20T21:18:26+03:00

Mars2501 [29]3 years ago

7 0

Answer:

A. About 4,900 ft

Step-by-step explanation:

We want h such that ...

5 = 10·ln(h) -80

8.5 = ln(h) . . . . . . . add 80, divide by 10

e^8.5 = h ≈ 4914.8 . . . . take the antilog

h ≈ 4900 . . . . feet