If manufacture product games at rate of 8%p.a. and producing 4820 at p...
Given,
the no of video games the company produces at present p=4820
rate incresing per year r=8%=0.08,
no of year = 3
thus the no of games produced after 3 yrs
A=p(1+r)t
=4820+(1+0.08)
3
=4820(1.08)
=6071.81
=6072
If manufacture product games at rate of 8%p.a. and producing 4820 at p...
Calculation:
To determine the number of games the manufacturer produced 3 years ago, we need to consider the production rate of 8% per annum and the current production quantity of 4820 games.
Step 1: Calculate the annual production rate:
The annual production rate can be calculated using the formula:
Annual Production Rate = (Current Production Quantity / (1 + Rate of Production))^Number of Years
Let's calculate the annual production rate:
Annual Production Rate = (4820 / (1 + 8/100))^3
= (4820 / 1.08)^3
≈ 3978.143^3
≈ 61,610,534.82
Step 2: Calculate the production quantity 3 years ago:
The production quantity 3 years ago can be determined using the formula:
Production Quantity 3 Years Ago = Annual Production Rate / (1 + Rate of Production)
Let's calculate the production quantity 3 years ago:
Production Quantity 3 Years Ago = 61,610,534.82 / (1 + 8/100)
= 61,610,534.82 / 1.08
≈ 57,016,542.24
Answer:
Therefore, the manufacturer produced approximately 57,016,542 games 3 years ago.
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