Answer:
89
Step-by-step explanation:
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
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Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
Answer:
Step-by-step explanation:
Assuming the rate of increase in the cost of tuition fee per year is linear. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500(amount in 2000)
From 2000 to 2018, the number of terms is 19, hence,
n = 19
T19 = 454120
Therefore,
454120 = 20500 + (19 - 1)d
454120 - 20500 = 18d
18d = 433620
d = 433620/18
d = 24090
Therefore, the equation that can be used to find the tuition y for x years after 2000 is expressed as
y = 20500 + 24090(x - 1)
To to estimate the tuition at this college in 2020, the number of terms between 2000 and 2020 is 21, hence
x = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Answer:
7 x 6 x 5 = 210
Step-by-step explanation:
its a combination's problem.
7 horses are eligible for first place.
6 of those are eligible for 2nd given that one of the 7 finished first.
similarly 5 of the remaining are eligible for 3rd place given 2 horses have taken the first 2 spots.
therefore 7 x 6 x 5 possible combinations = 210 combinations.
Answer:
Number of ways = 6
Step-by-step explanation:
Given:
Total number of choices = 4
Taken object choices = 2
Find:
Number of ways
Computation:
Number of ways = [4 × 3] / 2!
Number of ways = [4 × 3] / [2 × 1]
Number of ways = [12] / [2]
Number of ways = 6
