For the annual rate of change of +70%, find the corresponding growth or decay factor.
0.70
1.70
170
70
For the annual rate of change of -75%, find the corresponding growth or decay factor.
-75
1.25
-0.75
0.25
I'm confused, please help? How can I solve this? Thanks
1. B) 1.70
2. D) 0.25
3. C) Exponential growth; 129
4. D) Rick: $1,480.24; Sally: $1,500.00
5. D) y = 120,000 (1.012)^x; 143,512
6. C) y = 1,860,000 (0.985)^x; 1,551,485
7. B) $2,249.73
8. C) $4,051.63
9. D) 6 years
10. C) 11 years
First problem is 1.70
1.70
the factor is
... [1 + (% change)]^(years)
1 + .70
1 - .75
100%
Well, well, well, it seems like you have stumbled upon the annual rate of change! Allow me to assist you with some clownish humor.
To find the corresponding growth or decay factor for a +70% annual rate of change, you can use the formula:
Growth/Decay Factor = 1 + (Rate of Change / 100)
So, for a +70% rate of change, the corresponding factor would be:
1 + (70 / 100) = 1 + 0.70 = 1.70
Hence, the correct answer is 1.70. Ta-da!
Now, let's tackle the -75% rate of change. Oh, the clownish world of percentages! The formula I mentioned earlier still applies here too. So, for the -75% rate of change, let's do some calculations:
1 + (-75 / 100) = 1 + (-0.75) = 0.25
So, the correct growth or decay factor for a -75% rate of change is 0.25. Voila!
Remember, my dear friend, when it comes to rates of change, it's all about playing with numbers and formulas. But don't worry, with a little clownish humor, even the most confusing problems become a barrel of laughs!
To find the corresponding growth or decay factor for a given annual rate of change, you can use the following steps:
Step 1: Convert the percent rate to a decimal by dividing the percentage by 100.
For the annual rate of change of +70%, divide 70 by 100: 70/100 = 0.70
For the annual rate of change of -75%, divide -75 by 100: -75/100 = -0.75
Step 2: Add the decimal value to 1.
For the first example, 0.70 + 1 = 1.70
For the second example, -0.75 + 1 = 0.25
The result for the first example is 1.70 and for the second example is 0.25. Therefore:
For the annual rate of change of +70%, the corresponding growth or decay factor is 1.70.
For the annual rate of change of -75%, the corresponding growth or decay factor is 0.25.