Suppose that Crystal has just finished smoking a cigarette and is thinking about throwing the cigarette butt onto her neighbor B
1 answer:
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Answer:
PV = $27,263.15
It will be needed to deposit the lump sum of $27,263.15
Explanation:
The question is asking for how much will you need to deposit in a lump sum today to withdraw for seven years the sum of $5,600 with an interest rate of 10%
In other words it is asking us for the preset value of an annuity of $5,600 with interest of 10%
Using the present value of an annuity formula of $1 we can solve for the present value of that annuity, which is the amount needed to generate this annuity
We post our knows value and solve it:
PV = $27,263.15
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)
As given, two years ago he was two-thirds of his sister's age, so that we have:
<em>The boy's age two years ago = </em><em> × the sister's age two years ago</em>
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=> x + 3 = 8 + 3 = 11
So the present age of the boy is 8 years old, of the sister is 11 years old