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MissTica
3 years ago
10

A​ country's travel exports​ (good and services that international travelers buy while visiting the​ country) are increasing exp

onentially. The value of such​ exports, t years after​ 2011, can be approximated by ​V(t)equals111.83 e Superscript 0.088 t​, where V is in billions of dollars. ​a) Estimate the value of the​ country's travel exports in 2018 and 2020. ​b) Estimate the growth rate of the​ country's travel exports in 2018 and 2020.
Business
1 answer:
nasty-shy [4]3 years ago
5 0

Answer:

(a)In 2018, V(t)=$207.05 billion

In 2020, V(t)=$246.90 billion

(b)The export growth rate in 2018 is $18.22 billion per year

The export growth rate in 2020is $21.73 billion per year

Explanation:

The value of exports, t years after 2011 can be approximated by:

V(t)=111.83 e^{0.088 t}

(a)We want to estimate the value of the country's travel exports in 2018 and 2020.

Now, 2018-2011=7 years

Therefore, in 2018

V(7)=111.83 e^{0.088 *7}\\=\$207.05$ billion

Now, 2020-2011=9 years

Similarly, in 2020

V(9)=111.83 e^{0.088 *9}\\=\$246.90$ billion

(b)Growth rate

If V(t)=111.83 e^{0.088 t}, then:

V'(t)=111.83(0.088) e^{0.088 t}\\V'(t)=9.84104 e^{0.088 t}

Growth rate in 2018 (at t=7)

V'(7)=9.84104 e^{0.088*7}\\=\$18.22$ billion per year

Growth rate in 2020 (at t=9)

V'(9)=9.84104 e^{0.088*9}\\=\$21.73$ billion per year

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Explicación:

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Answer:

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In such a case, the owner of the restaurant must sell the restaurant to some other party so that he does not undergo any losses. By selling the property he will get some amount of his investment which he could utilize in his further projects.

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