Luke and Liam wash their clothes on a schedule. Luke
2 answers:
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Answer:
19,656
Step-by-step explanation:
Numbers used in locker = 3
Total numbers available = 28
Repetition is not allowed, so one number can be used only once. The order of number matters in the locker e.g. 123 password is not the same as 231. Since, the order of numbers matter, this is a problem of permutations. We need to find the number of different sequences formed with 28 numbers taken 3 at a time. This can be represented as 28P3
The formula for permutations is:
For the given case, we will have:
This means, 19,656 different 3 numbered sequences are possible for the locker.
Given:
Rate of interest = 8% compounded continuously.
Amount = 100,000
Time = 25 years
To find:
The principal value.
Solution:
Formula for amount after continuous compound interest:
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting in the above formula, we get
On further simplification, we get
Therefore, the amount 13533.528 is invested.
Here, triangle AEN and ALG are similar.
We know that the ratio of corresponding sides of two similar triangles are equal. So,