The number of cellular phone customers of a particular telephone company increased by an average of 40%/a from 1994 to 1998. If there were 963 300 customers on January 2, 1998, then the number of customers on January 2, 1994, to the nearest hundred, would have been
Answer: 250800
t5=963300, n=5
tn=a*r^(n-1)
My question is how they determine ratio=1.4?? please somebody can give me an easy explanation!!
They TELL you, it grew by 40%
That's 1.4 times as much.
Steve Looks thanks so much for your time but you are telling me the same questions without answer my question! don't worry!
Apparently you forgot to mention that the population grew by 40% EACH YEAR from 1994 to 1998
That means that it grew by a factor of 1.4 each year, so in 4 years, it grew by 1.4^4.
So, x*1.4^4 = 963300
x = 250755, or 250800 after rounding.
To determine the growth rate, you need to compare the number of customers at the end of the period (1998) with the number of customers at the beginning of the period (1994). In this case, we are given that the number of customers at the end of the period is 963,300.
To find the growth rate, you need to find the ratio of the final value to the initial value. In this case, the final value is 963,300 and the initial value is unknown. Let's call the initial value X.
So we have the equation:
963,300 = X * (1 + 40%)
To solve for X, we need to get rid of the (1 + 40%) part. To do that, we convert the percentage to a decimal by dividing it by 100:
40% = 40/100 = 0.4
Now we can rewrite the equation:
963,300 = X * (1 + 0.4)
To solve for X, we divide both sides of the equation by (1 + 0.4):
963,300 / (1 + 0.4) = X
Simplifying the right side:
963,300 / 1.4 ≈ 688,071.43
So the approximate number of customers in 1994, to the nearest hundred, would be 688,100.