Which of the following is the product of the rational expressions shown below?
1 answer:
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Answer:
The answers are in solutions.
Step-by-step explanation:
- Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.
(i) The amount invested by each businessman is;
<u>1^st businessman invested:</u>
<u />
Rs. 30,000
<u>2^nd businessman invested:</u>
<u />
<u /> = Rs. 50,000
<u>3^rd businessman invested:</u>
<u />
<u /> = Rs. 70,000
<u>4^th businessman invested:</u>
<u />
= Rs. 100,000
- If they gained Rs. 50,000
(ii) The profit each one of them got is;
<u>1^st businessman got:</u>
<u />
<u /> = Rs. 6,000
<u>2^nd businessman got:</u>
<u />
<u /> = Rs. 10,000
<u>3^rd businessman got:</u>
<u />
<u /> = Rs. 14,000
<u>4^th businessman got:</u>
= Rs. 20,000
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500
Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n
Recursive formular is
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500
Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n
Recursive formular is