The effective annual interest rate calculations yield:
i = (1 + 0.064/12)^12 - 1 = 0.066
For year 1: the interest amounts to $613.80 (calculating $9300 multiplied by 0.066)
For year 2: the interest totals $654.31 (adding year 1’s interest to $9300 and multiplying by 0.066)
For year 3: the interest is $656.98 (following the same process as year 2)
For year 4: the interest is $657.16
The cumulative interest totals: $2582.25
The present value of this sum is:
P = 2582.23 / (1 + 0.066)^4 = $1999.72
Thus, the final answer is $1999.72.
Hello!
Before you tackle any problems, it's essential to designate which scenario represents event A and which corresponds to event B. I usually follow the order they are presented in the question, so:
A = S<span>tudent participates in student council
B = S</span><span>tudent participates in after school sports
Any problem that mentions "given" in the question will need to refer to </span>P(A | B)<span> = P(</span>A ∩ B)/P(B). P(A | B) essentially represents the "probability of event A, given that event B has occurred." Meanwhile, P(A ∩ B) denotes the likelihood of both A and B taking place, while P(B) signifies just the probability of event B happening. All required information has been provided, so:
P(A | B) = P(A ∩ B)/P(B)
P(A | B) = 11% / 62%
P(A | B) = 0.11 / 0.62
P(A | B) = 0.18
Thus, there is approximately an 18% probability that <span>a student is involved in student council, given participation in after school sports.
I hope this was helpful!:-)</span>
Answer: $35
Step-by-step explanation:
The question states that the individual's current bill is $140.00 per month and they wish to reduce this amount by 25%.
To determine how much needs to be subtracted, we calculate 25% of $140.00, as follows:
= 25% of $140
= 25/100 × $140
= 1/4 × $140
= 0.25 × $140
= $35
The individual must cut $35 from the bill, resulting in a new monthly payment of ($140 - $35) = $105.
The required scale for the map is 4 inches. To fit the brochure, we start from the given dimensions: the length of the rectangular park is 4 inches and the breadth is 6 inches. The area can be calculated with the formula for the area of a rectangle: Area = length × breadth, which results in 24 square inches. To achieve the desired area of 6 square inches, we determine the necessary scale as 24 divided by 6, yielding 4 inches.
Answer:
0.8937
Step-by-step explanation:
This involves binomial probability with n = 64, p = 0.10, and x = 3. This indicates a 10% chance of cancellations. To determine the likelihood of having more than 3 cancellations or no-shows, we calculate binompdf(64,0.10,0) + binompdf(64,0.10,1) + binompdf(64,0.10,2) + binompdf(64,0.10,3), then subtract that total from 1.000.
The result is: 0.0012 + 0.0084 + 0.0293 + 0.0674 = total = 0.1063
Thus, the target probability is 1.0000 - 0.1063 = 0.8937
