$$ \leftarrow $$ Mathspace-IM1B-LL-Task 6 1. Algeria's population in the next 10 years is expected to grow approximately according to the model $$ P=38(1+r)^{t} $$, where $$ P $$ represents the population (in millions) $$ t $$ years from now. The world population in the next 10 years is expected to grow approximately according to the model $$ Q=7020(1.0119)^{t} $$, where $$ Q $$ represents the world population (in millions) $$ t $$ years from now. 1a According to the model, what is the current population in Algeria?

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UpStudy AI · Accepted Answer

1. We are given the population model for Algeria as
$$
P = 38 (1+r)^t.
$$
2. To find the current population, we set $$ t = 0 $$:
$$
P(0) = 38 (1+r)^0.
$$
3. Since any nonzero number raised to the power $$ 0 $$ is $$ 1 $$, we have
$$
(1+r)^0 = 1.
$$
4. Therefore, the current population is
$$
P(0) = 38 \times 1 = 38.
$$

Thus, according to the model, Algeria's current population is $$ 38 $$ million.
Algeria's current population is 38 million.

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