In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%. Assume that both populations are growing exponentially. (Round your answers to the nearest whole number.) (a) In what year will country A double its 1987 population?(b) In what year will the the two countries have the same population?

Step-by-step explanation:

Since both populations are growing exponentially, we would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

a) for the population to double,

A = 2(87 × 10^6) = 174 × 10^6

P = 87 × 10^6

r = 3.5%% = 3.5/100 = 0.035

Therefore

174 × 10^6 = 87 × 10^6(1 + 0.035)^t

174 × 10^6/87 × 10^6 = (1 + 0.035/1)^t

2 = (1.035)^t

Taking log of both sides to base 10

Log 2 = log1.035^t = tlog1.035

0.3010 = t × 0.015

t = 0.3010/0.015 = 20 years

The year would be

1987 + 20 = 2007

b) let t represent the year when the the two countries will have the same population. Therefore,

In t years, the population of country A would be

87 × 10^6(1 + 0.035)^t = 87 × 10^6(1.035)^t

In t years also, the population of country B would be

243 × 10^6(1 + 0.006)^t = 243 × 10^6(1.006)^t

For both populations to be the same, the number of years that it will take would be

87 × 10^6(1.035)^t = 243 × 10^6(1.006)^t

87(1.035)^t = 243(1.006)^t

By iterating,

t is approximately 36 years

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation:

whats the rest of it?