Exercise 30 please , show work
2 answers:
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Answer:
41.8 years
Step-by-step explanation:
From
A= 39000
r = 10.5%
P = $ 485
n=12
t = the unknown
t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]
t= 10.57 - 6.18/0.105
t= 41.8 years
This question is incomplete, the complete question is;
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.
In other words, how many 5-tuples of integers ( h, i , j , m ), are there with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?
Answer:
the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Step-by-step explanation:
Given the data in the question;
Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1
this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.
So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'
Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;
= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]
= [( n + 4 )!] / [ 5!( n-1 )! ]
= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Answer:
B. Divide 124 by 229.
Step-by-step explanation:
Given the table
The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.
The total number of males
The number of males that like drama
So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.