A Deposit of $ 5000 Is Made in an Account $$A _ { n } = 5000 \left( 1 + \frac { 0.04 } { 4 } \right) ^ { n } , n = 1,2,3 , \ldots$$

question 15

Multiple Choice

A deposit of $ 5000 is made in an account that earns 4 % interest compounded quarterly.The balance in the account after n quarters is given by $$A _ { n } = 5000 \left( 1 + \frac { 0.04 } { 4 } \right) ^ { n } , n = 1,2,3 , \ldots$$ Find the balance in the account after 10 years by finding the 40th term of the sequence.Round to the nearest penny.

• A)$ 7518.76
• B)$ 7370.61
• C)$ 7444.32
• D)$ 24,005.10

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Definitions:

Sensory Adaptation

This refers to the reduction in sensitivity to a stimulus after constant exposure to it.

Sleep Deprivation

A condition resulting from not getting enough sleep, which can affect mental, physical, and emotional health.

Neutral Object

An object that initially produces no specific response until it is associated with a meaningful stimulus through classical conditioning.

Masking Stimuli

External stimuli that interfere with the perception of other stimuli, impacting the ability to fully process what is being observed.