Answer:
a. When r = 4 percent, the rate of change is 22.10%.
b. When r = 7 percent, the rate of change is 41.76%.
Explanation:
Note: This question is not complete the required values of r is omitted. To complete the question, these values are therefore provided before answering the question as follows:
Find the rate of change of the amount A with respect to the rate r for the following values of r:
a. r = 4 percent
b. r = 7 percent
The explanation of the answer is now given as follows:
The A given is correctly stated as follows:
A = 1200 * (1 + ((1/12) * r))^60 ……………………….. (1)
Therefore, we have:
a. When r = 4 percent
Substituting r = 4% into equation (1), we have:
A = 1200 * (1 + ((1/12) * 4%))^60 = 1200 * 1.22099659394212 = 1465.20
Rate of change = (A - Amount invested) / Amount invested = (1465.20 - 1200) / 1200 = 0.2210, or 22.10%
Therefore, when r = 4 percent, the rate of change is 22.10%.
b. When r = 7 percent
Substituting r = 7% into equation (1), we have:
A = 1200 * (1 + ((1/12) * 7%))^60 = 1200 * 1.41762525961399 = 1701.15
Rate of change = (A - Amount invested) / Amount invested = (1701.15 - 1200) / 1200 = 0.4176, or 41.76%
Therefore, when r = 7 percent, the rate of change is 41.76%.
