Answer:
- A: 700
- B: he put the decimal point in the wrong place
Step-by-step explanation:
Part A: The problem 49/0.07 can be rewritten as 4900/7 by multiplying numerator and denominator by 100. Then it is more clear that the correct answer is (49/7)×100 = 700.
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Part B: I've always had trouble reading Marco's mind, so I cannot tell you what mistake he made. I can tell you the decimal point in his result is in the wrong place.
Answer:
The growth rate he needs to achieve his goal is approximatelly 19.8%
Step-by-step explanation:
Since the sum will be compounded continuously we have to use the appropriate formula given below:
M = C*e^(r*t)
Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:
16000 = 4000*e^(r*7)
4000*e^(7*r) = 16000
e^(7*r) = 16000/4000 = 4
ln[e^(7*r)] = ln(4)
7*r = ln(4)
r = ln(4)/7 = 0.198
The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.
Answer is D.
AB/A'B' = AC/A'C'
In a dilation, the sides of the pre-image and the corresponding sides of the image are <span>proportional.
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