ᴛʜᴇ ᴀᴠᴇʀᴀɢᴇ ʟɪꜰᴇ ᴇxᴘᴇᴄᴛᴀɴᴄʏ ᴏꜰ ᴀ ᴄᴇʀᴛᴀɪɴ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ɪꜱ ₁₀ ʏᴇᴀʀꜱ, ᴡɪᴛʜ ᴀ ꜱᴛᴀɴᴅᴀʀᴅ ᴅᴇᴠɪᴀᴛɪᴏɴ ᴏꜰ ₂ ʏᴇᴀʀꜱ. ᴛʜᴇ ᴍᴀɴᴜꜰᴀᴄᴛᴜʀᴇʀ ʀᴇᴘʟᴀᴄᴇꜱ ᴛʜᴇ ᴘᴜʀᴄʜᴀꜱᴇᴅ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ɪꜰ ᴛʜᴇ ʙᴜʏᴇʀ ꜰɪɴᴅꜱ ᴛʜᴀᴛ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ʜᴀꜱ ᴀ ᴘʀᴏʙʟᴇᴍ ᴏʀ ᴅᴇꜰᴇᴄᴛ. ᴛʜᴇ ʀᴇᴘʟᴀᴄᴇᴍᴇɴᴛ ɪꜱ ꜰʀᴇᴇ ᴏꜰ ᴄʜᴀʀɢᴇ ɪꜰ ɪᴛ ɪꜱ ᴄᴏᴠᴇʀᴇᴅ ʙʏ ᴛʜᴇ ᴡᴀʀʀᴀɴᴛʏ. ɪꜰ ᴛʜᴇ ᴍᴀɴᴜꜰᴀᴄᴛᴜʀᴇʀ ɪꜱ ᴡɪʟʟɪɴɢ ᴛᴏ ʀᴇᴘʟᴀᴄᴇ ᴏɴʟʏ ₃% ᴏꜰ ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀꜱ ᴛʜᴀᴛ ᴀʀᴇ ꜰᴏᴜɴᴅ ᴛᴏ ʙᴇ ᴅᴇꜰᴇᴄᴛɪᴠᴇ, ʜᴏᴡ ʟᴏɴɢ ꜱʜᴏᴜʟᴅ ᴛʜᴇ ɢɪᴠᴇɴ ᴡᴀʀʀᴀɴᴛʏ ʙᴇ? ᴀꜱꜱᴜᴍᴇ ᴛʜᴀᴛ ᴛʜᴇ ʟɪꜰᴇꜱᴘᴀɴ ᴏꜰ ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀꜱ ꜰᴏʟʟᴏᴡꜱ ᴀ ɴᴏʀᴍᴀʟ ᴅɪꜱᴛʀɪʙᴜᴛɪᴏɴ.
ᴛʜᴇ ᴀᴠᴇʀᴀɢᴇ ʟɪꜰᴇ ᴇxᴘᴇᴄᴛᴀɴᴄʏ ᴏꜰ ᴀ ᴄᴇʀᴛᴀɪɴ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ɪꜱ ₁₀ ʏᴇᴀʀꜱ, ᴡɪᴛʜ ᴀ ꜱᴛᴀɴᴅᴀʀᴅ ᴅᴇᴠɪᴀᴛɪᴏɴ ᴏꜰ ₂ ʏᴇᴀʀꜱ. ᴛʜᴇ ᴍᴀɴᴜꜰᴀᴄᴛᴜʀᴇʀ ʀᴇᴘʟᴀᴄᴇꜱ ᴛʜᴇ ᴘᴜʀᴄʜᴀꜱᴇᴅ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ɪꜰ ᴛʜᴇ ʙᴜʏᴇʀ ꜰɪɴᴅꜱ ᴛʜᴀᴛ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ʜᴀꜱ ᴀ ᴘʀᴏʙʟᴇᴍ ᴏʀ ᴅᴇꜰᴇᴄᴛ. ᴛʜᴇ ʀᴇᴘʟᴀᴄᴇᴍᴇɴᴛ ɪꜱ ꜰʀᴇᴇ ᴏꜰ ᴄʜᴀʀɢᴇ ɪꜰ ɪᴛ ɪꜱ ᴄᴏᴠᴇʀᴇᴅ ʙʏ ᴛʜᴇ ᴡᴀʀʀᴀɴᴛʏ. ɪꜰ ᴛʜᴇ ᴍᴀɴᴜꜰᴀᴄᴛᴜʀᴇʀ ɪꜱ ᴡɪʟʟɪɴɢ ᴛᴏ ʀᴇᴘʟᴀᴄᴇ ᴏɴʟʏ ₃% ᴏꜰ ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀꜱ ᴛʜᴀᴛ ᴀʀᴇ ꜰᴏᴜɴᴅ ᴛᴏ ʙᴇ ᴅᴇꜰᴇᴄᴛɪᴠᴇ, ʜᴏᴡ ʟᴏɴɢ ꜱʜᴏᴜʟᴅ ᴛʜᴇ ɢɪᴠᴇɴ ᴡᴀʀʀᴀɴᴛʏ ʙᴇ? ᴀꜱꜱᴜᴍᴇ ᴛʜᴀᴛ ᴛʜᴇ ʟɪꜰᴇꜱᴘᴀɴ ᴏꜰ ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀꜱ ꜰᴏʟʟᴏᴡꜱ ᴀ ɴᴏʀᴍᴀʟ ᴅɪꜱᴛʀɪʙᴜᴛɪᴏɴ.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.2: Percents And Proportions
Problem 18E
Related questions
Question
ᴛʜᴇ ᴀᴠᴇʀᴀɢᴇ ʟɪꜰᴇ ᴇxᴘᴇᴄᴛᴀɴᴄʏ ᴏꜰ ᴀ ᴄᴇʀᴛᴀɪɴ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ɪꜱ ₁₀ ʏᴇᴀʀꜱ, ᴡɪᴛʜ ᴀ ꜱᴛᴀɴᴅᴀʀᴅ
ᴅᴇᴠɪᴀᴛɪᴏɴ ᴏꜰ ₂ ʏᴇᴀʀꜱ. ᴛʜᴇ ᴍᴀɴᴜꜰᴀᴄᴛᴜʀᴇʀ ʀᴇᴘʟᴀᴄᴇꜱ ᴛʜᴇ ᴘᴜʀᴄʜᴀꜱᴇᴅ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ɪꜰ ᴛʜᴇ
ʙᴜʏᴇʀ ꜰɪɴᴅꜱ ᴛʜᴀᴛ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ʜᴀꜱ ᴀ ᴘʀᴏʙʟᴇᴍ ᴏʀ ᴅᴇꜰᴇᴄᴛ. ᴛʜᴇ ʀᴇᴘʟᴀᴄᴇᴍᴇɴᴛ ɪꜱ ꜰʀᴇᴇ ᴏꜰ
ᴄʜᴀʀɢᴇ ɪꜰ ɪᴛ ɪꜱ ᴄᴏᴠᴇʀᴇᴅ ʙʏ ᴛʜᴇ ᴡᴀʀʀᴀɴᴛʏ. ɪꜰ ᴛʜᴇ ᴍᴀɴᴜꜰᴀᴄᴛᴜʀᴇʀ ɪꜱ ᴡɪʟʟɪɴɢ ᴛᴏ ʀᴇᴘʟᴀᴄᴇ ᴏɴʟʏ
₃% ᴏꜰ ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀꜱ ᴛʜᴀᴛ ᴀʀᴇ ꜰᴏᴜɴᴅ ᴛᴏ ʙᴇ ᴅᴇꜰᴇᴄᴛɪᴠᴇ, ʜᴏᴡ ʟᴏɴɢ ꜱʜᴏᴜʟᴅ ᴛʜᴇ ɢɪᴠᴇɴ
ᴡᴀʀʀᴀɴᴛʏ ʙᴇ? ᴀꜱꜱᴜᴍᴇ ᴛʜᴀᴛ ᴛʜᴇ ʟɪꜰᴇꜱᴘᴀɴ ᴏꜰ ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀꜱ ꜰᴏʟʟᴏᴡꜱ ᴀ ɴᴏʀᴍᴀʟ
ᴅɪꜱᴛʀɪʙᴜᴛɪᴏɴ.
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