Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
Given recursive formula is
f(n) = 22 * f(n - 1)
Where first term : f(1) = 10
And we need to find the first five terms of this sequence. So , let's find the second term by plug in n = 2 in the above formula. Therefore,
f (2) = 2.2 * f ( 2 -1)
= 2.2 * f(1)
= 2.2 * 10
= 22
So second term is 22.
Similarly plug in 3 for n to get the third term. Hence,
f(3) = 2.2 * f(3 -1) = 2.2 * f(2) = 2.2 * 22= 48.4
f(4) = 2.2 *f( 4 -1) = 2.2 * f(3) = 2.2* 48.4 = 106.48
f(5) = 2.2* f(5-1)= 2.2 * f(4) = 2.2 * 106.48 = 234.256
So, the first five terms are 10, 22, 48.4, 106.48 and 234.256.
Hope this helps you!
4(20+12)/(4-3) = 4(32)/1 = 128
Use order of operations (PEMDAS) Please Excuse My Dear Aunt Sally, and solve for parantheses, then multiply parentheses and then divide by 1.
