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131 Calculate the amount that he will receive after 5 years. 3 \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 13.2 How much interest did he earn? \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) Calculate without using a calculator: \( 14.1-(-4)^{2}-\sqrt{6^{2}}-(-2)^{3} \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( 14.2 \sqrt{-4 \times-9+8^{2}} \) 3 \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( 14.3 \frac{6+3 \times 7}{-3} \) 2 \( \qquad \) \( \qquad \) \( \qquad \)

Ask by Rose Elliott. in South Africa
Mar 09,2025

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- **Problem 3:** 0.1 - **Problem 4:** 10 - **Problem 5:** -9

Solución

Let's break down the problems step by step. ### Problem 1: Calculate the amount received after 5 years We need more information to solve this problem, such as the principal amount, interest rate, and whether the interest is simple or compound. Please provide these details. ### Problem 2: Calculate the interest earned Similar to the first problem, we need the principal amount and the interest rate to calculate the interest earned. Please provide these details. ### Problem 3: Calculate \( 14.1 - (-4)^{2} - \sqrt{6^{2}} - (-2)^{3} \) Let's solve this step by step: 1. Calculate \( (-4)^{2} \): \[ (-4)^{2} = 16 \] 2. Calculate \( \sqrt{6^{2}} \): \[ \sqrt{6^{2}} = 6 \] 3. Calculate \( (-2)^{3} \): \[ (-2)^{3} = -8 \] Now substitute these values back into the expression: \[ 14.1 - 16 - 6 - (-8) \] 4. Simplify the expression: \[ 14.1 - 16 - 6 + 8 \] \[ = 14.1 - 16 - 6 + 8 \] \[ = 14.1 - 14 \] \[ = 0.1 \] ### Problem 4: Calculate \( \sqrt{-4 \times -9 + 8^{2}} \) 1. Calculate \( -4 \times -9 \): \[ -4 \times -9 = 36 \] 2. Calculate \( 8^{2} \): \[ 8^{2} = 64 \] Now substitute these values back into the expression: \[ \sqrt{36 + 64} \] 3. Simplify: \[ = \sqrt{100} = 10 \] ### Problem 5: Calculate \( \frac{6 + 3 \times 7}{-3} \) 1. Calculate \( 3 \times 7 \): \[ 3 \times 7 = 21 \] Now substitute this value back into the expression: \[ \frac{6 + 21}{-3} \] 2. Simplify: \[ = \frac{27}{-3} = -9 \] ### Summary of Results - Problem 3: \( 14.1 - (-4)^{2} - \sqrt{6^{2}} - (-2)^{3} = 0.1 \) - Problem 4: \( \sqrt{-4 \times -9 + 8^{2}} = 10 \) - Problem 5: \( \frac{6 + 3 \times 7}{-3} = -9 \) Please provide the missing information for Problems 1 and 2 to proceed with those calculations.

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Extra Insights

Imagine a world where money grows on trees! Well, it's not quite that simple, but let's talk about interest. When you deposit money, often a certain percentage is added over time, known as interest. If you place $131 into a savings account with a fixed interest rate, after 5 years, you can earn a good chunk of change without lifting a finger! The magic of compounding can help your money work for you, so always explore your options! Now, let's unravel the math mystery you'll face. For that expression, it’s all about tackling operations one step at a time—think of it like a delicious layered cake! Start with the exponent, then the square root, followed by multiplication and finally handle addition and subtraction in sequence. If you patiently navigate this maze, you'll emerge with the final answer and feel like a math wizard!

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