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loris
1 month ago
9

Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about

a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)x − 1. After combining the two functions, the new function is g(x) = 103(1.03)x − 1. Using complete sentences, explain what this new function means.
Mathematics
2 answers:
AnnZ [12.3K]1 month ago
7 0
s(x)=1.03x−1

so be sure to place parentheses around (x-1)

This indicates that her investment is increasing by 3% each time period as defined by the bank (e.g., monthly, annually...).

AnnZ [12.3K]1 month ago
6 0

Answer:

Christina has saved $103 from babysitting at home, which is represented by the function h(x) = 103.

The bank's interest is generated based on the function s(x) = (1.03)^x − 1.

Upon merging these two functions, we derive a new function g(x) = 103(1.03)^x − 1. (correct form)

This formula indicates that if Christina invests her $103, the amount she would accumulate after (x) years reflects a 3% annual growth in value (assuming x stands for the number of years).

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