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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

In 20002000, there were 0.0250.025 phone subscriptions per person in Africa for both mobile and land-line phones. After that, the land-line phone subscriptions steadily increased by 0.010.01 every 77 years, while the mobile phone subscriptions grew 48%48\% per year. What was the total number of phone subscriptions per person in 20022002?\newlineChoose 11 answer:\newline(A) 0.0270.027\newline(B) 0.0340.034\newline(C) 0.0730.073\newline(D) 0.0830.083

Full solution

Q. In 20002000, there were 0.0250.025 phone subscriptions per person in Africa for both mobile and land-line phones. After that, the land-line phone subscriptions steadily increased by 0.010.01 every 77 years, while the mobile phone subscriptions grew 48%48\% per year. What was the total number of phone subscriptions per person in 20022002?\newlineChoose 11 answer:\newline(A) 0.0270.027\newline(B) 0.0340.034\newline(C) 0.0730.073\newline(D) 0.0830.083
  1. Calculate Increase Land-line Subscriptions: Calculate the increase in land-line phone subscriptions from 20002000 to 20022002.\newlineSince the land-line phone subscriptions increase by 0.010.01 every 77 years, and only 22 years have passed by 20022002, there would be no increase because the increase happens only every 77 years.\newlineLand-line subscriptions in 20022002 = Land-line subscriptions in 20002000 = 0.0250.025
  2. Calculate Increase Mobile Subscriptions: Calculate the increase in mobile phone subscriptions from 20002000 to 20022002.\newlineThe mobile phone subscriptions grow by 4848% per year. To find the total growth over 22 years, we need to apply the growth rate for each year.\newlineFor the first year (20002000 to 20012001): \newlineMobile subscriptions in 20012001 = Mobile subscriptions in 20002000 * (1+growth rate)(1 + \text{growth rate})\newline= 0.025(1+0.48)0.025 * (1 + 0.48)\newline= 0.0251.480.025 * 1.48
  3. First Year Growth Calculation: Complete the calculation for the first year's growth.\newlineMobile subscriptions in 20012001 = 0.025×1.480.025 \times 1.48\newline= 0.0370.037
  4. Calculate Mobile Subscriptions Second Year: Calculate the mobile subscriptions for the second year (20012001 to 20022002) using the growth rate.\newlineMobile subscriptions in 20022002 = Mobile subscriptions in 20012001 * 1+growth rate1 + \text{growth rate}\newline= 0.037(1+0.48)0.037 * (1 + 0.48)\newline= 0.0371.480.037 * 1.48
  5. Second Year Growth Calculation: Complete the calculation for the second year's growth.\newlineMobile subscriptions in 20022002 = 0.037×1.480.037 \times 1.48\newline= 0.054760.05476\newlineSince we are looking for the number of subscriptions per person, we can round this to the nearest thousandth, which gives us 0.0550.055.
  6. Total Phone Subscriptions Calculation: Add the land-line and mobile phone subscriptions together to get the total number of phone subscriptions per person in 20022002.\newlineTotal subscriptions in 20022002 == Land-line subscriptions in 20022002 ++ Mobile subscriptions in 20022002\newline=0.025+0.055= 0.025 + 0.055\newline=0.080= 0.080