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Virty [35]
3 years ago
15

You have just inherited $560,000. You plan to save this money and continue to live off the money that you are earning in your cu

rrent job. If you can invest the money in a bond that pays 5.46 percent interest annually, how long will it be before your inheritance is worth $1 million? (If you solve this problem with algebra round intermediate calculations to 5 decimal places, in all cases round your final answer to 2 decimal places, e.g. 8.72.)
Business
1 answer:
suter [353]3 years ago
6 0

Answer:

10.64 years

Explanation:

To find the number of years , use this formula :

FV / PV = (1 + r) ^n

FV = Future value  = $1 million

P = Present value  = $560,000.

R = interest rate  = 5.6%

N = number of years  

$1,000,000 / $560,000 = (1.056)^n

1.785714  = (1.056)^n

Find the In of both sides

n = 10.64 years

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a boy is three years younger than his sister. two years ago he was two-thirds of his sister's age. what are their present ages ​
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Answer:

The boy: 8 years old

The sister: 11 years old

Explanation:

We assume that the age at present of the boy is x (years old).

As he is younger than his sister 3 years, so that his sister's present age is great than x 3 years

=> Her present age is: x + 3 (years old)

Two years ago, the boy is younger than present two years

=> The boy's age two years ago is: x - 2 (years old)

Similarly, the sister's age two years ago is: (x+3)-2 = x + 1 (years old)

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<em>The boy's age two years ago = </em>\frac{2}{3}<em> × the sister's age two years ago</em>

⇒ x - 2 = \frac{2}{3}(x+1)

⇒ x - 2 = \frac{2}{3}x + \frac{2}{3}

⇒ x - \frac{2}{3}x =  \frac{2}{3} + 2

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So the present age of the boy is 8 years old, of the sister is 11 years old

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3 years ago
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