Under Logarithmic Interpolation, If He $t _ { i }$ -Tear Yield Is

question 18

Multiple Choice

Under logarithmic interpolation, if he $t _ { i }$ -tear yield is $y \left( t _ { i } \right)$ , $i = 1,2$ , then the interpolated yield for $t$ lying between $t _ { 1 }$ and $t _ { 2 }$ is given by $y ( t ) = y \left( t _ { 1 } \right) \left[ 1 + \ln \left( 1 + x \cdot \left( t - t _ { 1 } \right) \right) \right]$ where $x$ is a parameter. Suppose the yield at one year is 4% and the yield at two years is 5%. Then, the closest yield at one and a half years, using logarithmic interpolation in time $t$ , is

• A) 4.47%
• B) 4.50%
• C) 4.53%
• D) 4.55%

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Definitions:

Right Hemisphere

The half of the brain that controls the left side of the body, associated with creativity, spatial ability, and the processing of visual and auditory stimuli.

Left Hemisphere

The left side of the brain, primarily responsible for controlling the right side of the body and functions such as speech, logic, and analytical thinking.

Right Temporal Lobe

The portion of the brain located beneath the right temple, responsible for processing auditory information and contributing to the understanding of language and the integration of memories.

Left Parietal Lobe

A region of the brain associated with processing sensory information such as touch, temperature, and pain, as well as spatial orientation and language.