Mathematics, 19.10.2020 09:01, laqu33n021

Nancy needs at least 100010001000 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 105\,\text{GB}105GB105, start text, G, B, end text available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs. The cheapest memory cards she can find each hold 256\,\text{GB}256GB256, start text, G, B, end text and cost \$10$10dollar sign, 10. She wants to spend as little money as possible and still get the storage she needs.
Let CCC represent the number of memory cards that Nancy buys.

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Nancy needs at least 100010001000 gigabytes of storage to take pictures and videos on her upcoming v...