Math Problem Statement

1. Virus Growth: A laboratory test shows that 1 virus can divide into 2 viruses in 4 hours. In the test, there were initially 200 viruses. Determine the number of viruses after 12 hours. 2. Farmer’s Crop Yield: A farmer records the yield of his crops for the last 10 years. The yield increases by 10% each year. If in the first year the crop yield was 10 tons, determine the crop yield in the fourth year. 3. Bank Savings: Mrs. Dewi deposits Rp5,000,000 in a bank and earns 10% interest per year. If the interest remains fixed and she never withdraws money, how much will Mrs. Dewi's savings be after 6 years?

Solution

The image contains three math-related problems in Indonesian. Here’s a translation and breakdown of each question:


1. Virus Growth

A laboratory test shows that 1 virus can divide into 2 viruses in 4 hours. In the test, there were initially 200 viruses. Determine the number of viruses after 12 hours!


2. Farmer’s Crop Yield

A farmer records the yield of his crops for the last 10 years. It turns out that the yield increases by 10% each year. If in the first year the crop yield was 10 tons, determine the crop yield in the fourth year!


3. Bank Savings

Mrs. Dewi deposits Rp5,000,000 in a bank and earns 10% interest per year. If the interest remains fixed and she never withdraws money, how much will Mrs. Dewi's savings be after 6 years?


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Math Problem Analysis

Mathematical Concepts

Exponential Growth
Percentage Increase
Compound Interest

Formulas

Exponential Growth: N(t) = N_0 * 2^(t / doubling_time)
Percentage Growth: Future Value = Present Value * (1 + growth_rate)^n
Compound Interest: A = P(1 + r)^t

Theorems

Exponential Growth Theorem
Compound Interest Theorem

Suitable Grade Level

Grades 9-11