Answer: c
Step-by-step explanation: Plato
Answer:
f(t) = 66·0.995^t
Step-by-step explanation:
You can try t=0 and t=1 in each of the formulas to see which one gives values of 66 and 0.5% less than 66, or 65.67.
The first function has an initial value of 0.5, so is not correct.
The second function gives f(1) = 99, so is not correct.
The third function gives f(1) = 65.67, so is correct.
The fourth function gives f(1) = 66.33, so is not correct.
_____
You can realize that the multiplier will be 0.5% less than 100%, so will be 99.5% = 0.995. This number shows up only in the third selection.
Answer:
Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
Step-by-step explanation:
We use the Total Amount generated using compound interest formula to solve this question
Formula =
Total Amount(A) = P(1 + r/n)^nt
a) For Harrison
Principal = $200
Interest rate = 2% = 0.02
Time = 2 years
n = compounding quarterly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.02/4)^2×4
A = $2,000(0.005)^8
A = $ 2081.4140878
A = $ 2,081.41
b) For Sherry
Principal = $200
Interest rate = 4% = 0.04
Time = 2 years
n = compounding monthly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.04/12)^2×12
A = $2166.2859184
A = $ 2,166.29
The Total Amount for
Harrison = $ 2,081.41
Sherry = $ 2,166.29
Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
Answer:
A. 50.24
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
f(4) = 3.14(4²) = 3.14×16 = 50.24
Answer:
13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.
One earthquake each 100/5 = 20 years.
What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?
40 years, so 
This probability is P(X = 0).
13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years
