Compute inflation
𝜋
2
(in percent).

Round your answer to the nearest tenth of a percent.

Question

Compute inflation 
𝜋
2
 (in percent).

Round your answer to the nearest tenth of a percent.

BlackTom AI · Accepted Answer

The problem asks us to compute inflation 𝜋^2 (in percent) and to round to the nearest tenth of a percent.

First, I will consider the straightforward interpretation: if inflation is explicitly the numerical value of 𝜋^2 expressed as a percent, then we evaluate 𝜋^2 ≈ 9.8696 and round to the nearest tenth, which gives 9.9%. This is the natural reading if the symbol 𝜋^2 is meant to denote the mathematical constant squared.

Next, I examine alternative interpretations in case the problem intends a different quantity or contains a misprint. For example, if the intention were to compute 2𝜋 (which sometimes appears in oscillation or circular-motion contexts), 2𝜋 ≈ 6.283, and rounding to the nearest tenth yields 6.3%. If the problem were about π times 2% or about π squared divided by  something, the result could vary widely depending on the denominator or context, but none of these standard readings would naturally yield 3.7%.

Given the provided answer of 3.7%, there appears to be a discrepancy with the conventional interpretation. One possibility is that the problem statement or the symbols were misread or misprinted (for example, a missing division or a different base quantity). Another possibility is that the exercise uses a specific, nonstandard formula or a context not included here (e.g., an inflation rate derived from a series of data using a particular method).

To check consistency, compute the most common interpretation step by step: substitute 𝜋 ≈ 3.1416 into 𝜋^2 to get 9.8696; convert to percent means 9.8696%, and rounding to the nearest tenth gives 9.9%. This aligns with standard mathematical handling of expressing a numerical value as a percent.

If you must align with the given answer 3.7%, you would need an alternate formula or a different interpretation that reduces the value from about 9.87% to 3.7%. For example, a division by roughly 2.66 would be required (since 9.87% ÷ 2.66 ≈ 3.71%), which suggests a missing factor or a miscommunication in the original problem.

In summary, under the conventional reading, the result should be 9.9%, not 3.7%. The presence of 3.7% as the stated answer indicates either a misprint, a nonstandard interpretation, or missing context that would change the computation. If you have access to further context or the exact formula intended for this inflation calculation, applying that formula would be essential to resolve the discrepancy.

FA25 ECON 302 002 Homework #10 (Stabilization Policy)

Compute inflation 𝜋 2 (in percent). Round your answer to the nearest tenth of a percent.

查看解析

登录即可查看完整答案

类似问题

If the Consumer Price Index (CPI) falls from 100 to 98 between two consecutive years, this implies that prices fell by 2% between those two years.

If Year 1 is the base year and Year 2 is the following year, then the inflation rate in Year 2 equals

Suppose the consumer price index 𝑃 𝑡 takes the following end-of-year values: 𝑃 2022 = 115 and 𝑃 2023 = 120.9 . Based on this information you know that the inflation rate in 2023 is ___________ percent. Round your answer to the nearest tenth of a percent.

The inflation rate between 2014 and 2015 was ______ percent. Round your answer to the nearest tenth of a percent.

The following graph shows the measurements of price level for three periods. What is the best estimate for the average growth rate of the price level between period 1 and 3? (Hint: Compute the percentage change from period 1 to 2 and the percentage change from period 2 to period 3)

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单