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Tcecarenko [31]
4 years ago
9

Manny and Irene will be retiring in fifteen years and would like to buy a Mexican villa. The villa costs​ $500,000 today, and ho

using prices in Mexico are expected to increase by​ 6% per year. Manny and Irene want to make fifteen equal annual payments into an​ account, starting​ today, so there will be enough money to purchase the villa in fifteen years. If the account earns​ 10% per​ year, what is the amount of each​ deposit?
Business
1 answer:
ki77a [65]4 years ago
6 0

Answer:

Annual deposit= $37,714.37

Explanation:

Giving the following information:

The villa costs​ $500,000 today, and housing prices in Mexico are expected to increase by​ 6% per year. Manny and Irene want to make fifteen equal annual payments into an​ account, starting​ today, so there will be enough money to purchase the villa in fifteen years.

The account earns​ 10% per​ year.

First, we need to calculate the final value of the house with the following formula.

FV= PV*(1+i)^n

FV= 500,000*(1.06^15)=$1,198,279.1

Now, we can calculate the annual payments required:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (1,198,279.1*0.10)/[(1.10^15)-1]

A= $37,714.37

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Answer:

Hi

It meant a political situation among the states in which none of them achieved a power superior to the others. It is an idea of the late Middle Ages, applied to major or minor geographic regions that comprise the plurality of sovereign territories. Throughout Europe there is a legitimate feeling, always subject to interpretation, whereby any action required the confirmation of the rest of the States, the most significant case being the invasion of a territory. In this way the doctrine of just war was reached, to the problem of to what extent and to what extent the actual or imminent engraving of a State could mean a warlike justification. Transactions between contestants, neutral or rival, never ended, hence the relevance of diplomacy, as the concepts of balance, neutrality, freedom of Europe or sovereignty are interpreted continuously, while being used in conversations. Some thought of equilibrium as a natural system, because it was a consequence of international relations, and when a great power had too much force it threatened the others, and therefore, had to counteract the disproportion. Others considered it a desired goal for which he had fought.

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Explanation:

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In year 9 = $240,000

In year 10 = $240,000

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