A huge ice glacier in the Himalayas initially covered an area of 45 square kilometers. Because of changing
weather patterns, this glacier begins to melt, and the area it covers begins to decrease exponentially,
The relationship between A, the area of the glacier in square kilometers, and t, the number of years the glacier
has been melting, is modeled by the following equation.
A= 45e -0.057
How many years will it take for the area of the glacier to decrease to 15 square kilometers?
Give an exact answer expressed as a natural logarithm.
years

45 years

Step-by-step explanation:

Calculations show that in approximately 45 years the glacier will shrink to 15 killos

step-by-step explanation:

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"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629