In 2000, there were 0.025 phone subscriptions per person in Africa for both mobile and land-line phones. After that, the land-line phone subscriptions steadily increased by 0.01 every 7 years, while the mobile phone subscriptions grew 48% per year. What was the total number of phone subscriptions per person in 2002?Choose 1 answer:(A) 0.027(B) 0.034(C) 0.073(D) 0.083
Q. In 2000, there were 0.025 phone subscriptions per person in Africa for both mobile and land-line phones. After that, the land-line phone subscriptions steadily increased by 0.01 every 7 years, while the mobile phone subscriptions grew 48% per year. What was the total number of phone subscriptions per person in 2002?Choose 1 answer:(A) 0.027(B) 0.034(C) 0.073(D) 0.083
Calculate Increase Land-line Subscriptions: Calculate the increase in land-line phone subscriptions from 2000 to 2002.Since the land-line phone subscriptions increase by 0.01 every 7 years, and only 2 years have passed by 2002, there would be no increase because the increase happens only every 7 years.Land-line subscriptions in 2002 = Land-line subscriptions in 2000 = 0.025
Calculate Increase Mobile Subscriptions: Calculate the increase in mobile phone subscriptions from 2000 to 2002.The mobile phone subscriptions grow by 48% per year. To find the total growth over 2 years, we need to apply the growth rate for each year.For the first year (2000 to 2001): Mobile subscriptions in 2001 = Mobile subscriptions in 2000 * (1+growth rate)= 0.025∗(1+0.48)= 0.025∗1.48
First Year Growth Calculation: Complete the calculation for the first year's growth.Mobile subscriptions in 2001 = 0.025×1.48= 0.037
Calculate Mobile Subscriptions Second Year: Calculate the mobile subscriptions for the second year (2001 to 2002) using the growth rate.Mobile subscriptions in 2002 = Mobile subscriptions in 2001 * 1+growth rate= 0.037∗(1+0.48)= 0.037∗1.48
Second Year Growth Calculation: Complete the calculation for the second year's growth.Mobile subscriptions in 2002 = 0.037×1.48= 0.05476Since we are looking for the number of subscriptions per person, we can round this to the nearest thousandth, which gives us 0.055.
Total Phone Subscriptions Calculation: Add the land-line and mobile phone subscriptions together to get the total number of phone subscriptions per person in 2002.Total subscriptions in 2002= Land-line subscriptions in 2002+ Mobile subscriptions in 2002=0.025+0.055=0.080
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