Max has $2000: $1000 decreased in value exponentially at a rate of 0.5% annually
1 answer:
Answer:
$2147.36
Step-by-step explanation:
The first value can be modeled by ...
b1 = 1000·(1 -0.005)^t
After 10 years, that balance is ...
b1 = 1000·0.995^10 = 951.11
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The second value can be modeled by ...
b2 = 1000·(1 +0.018/2)^(2t)
After 10 years, that balance is ...
b2 = 1000·1.009^20 = 1196.25
__
The total of the two investments after 10 years is ...
$951.11 +1196.25 = $2147.36
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Answer:
For the student who is studying 10 hours a week is in the 57.93th percentile.
Step-by-step explanation:
Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula
z= where
- x is the hours student work in a week, which is 10,
- M is the mean studying hour of the class, which is 9.92,
- s is the standart deviation which is 4.54
from here we find that z=≈0.2
Corresponding percentile for z=0.2 is 57.93