   Chapter 2.3, Problem 31E

Chapter
Section
Textbook Problem

Sub-Saharan African GDP The real GDP per capita of sub-Saharan Africa (in 2009 U.S. dollars) from 1990 through 2030 is projected to bef(t) = 1.86251t2 − 28.08043t + 884 (0 ≤ t ≤ 40)where t is measured in years, with t = 0 corresponding to 1990. a. What was the real GDP per capita of sub-Saharan Africa in 2000? b. Assuming that the projection holds true, what will be the GDP per capita of sub-Saharan Africa in 2030? Source: IMF.

(a)

To determine
The real GDP per capita of sub-Saharan Africa in 2000.

Explanation

Given information:

The real GDP per capita of sub-Saharan Africa at time t in years from 1990 through 2030 is represented by the given function.

f(t)=1.86251t228.08043t+884 (1)

Calculation:

For the initial year 1990 the value of t is 0.

Difference between 2000 and 1990 is 10 years, therefore the value of t is 10 to find the real GDP per capita of sub-Saharan Africa in 2000.

Substitute 10 for t in equation (1), to find the real GDP per capita of sub-Saharan Africa in 2000.

f(10)=1.86251(10)228

(b)

To determine
The real GDP per capita of sub-Saharan Africa in 2030.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Evaluate the expression sin Exercises 116. 22212424

Finite Mathematics and Applied Calculus (MindTap Course List)

A sample of n = 9 scores has X = 108. What is the sample mean?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

In problems 63-73, factor each expression completely. 68.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate limx0sin(a+2x)2sin(a+x)+sinax2.

Single Variable Calculus: Early Transcendentals

Sometimes, Always, or Never: limxaf(x)g(x)=limxaf(x)limxag(x).

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 