Answer: 24
Step-by-step explanation:
Number of marbles in jar = 32
Let blue marbles be represented by b.
Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b
We then add them together. This will be:
3b + b = 32
4b = 32
b = 32/4
b = 8
There are 8 blue marbles
Since green is 3× blue. Therefore,
Green = 8 × 3 = 24 marbles
Answer:
Time = T half–years , Rate = 5 % per half year
2
1+2+3= 6 (even)
2+3+4= 9 (odd)
it can be both
Answer:
The estimate of In(1.4) is the first five non-zero terms.
Step-by-step explanation:
From the given information:
We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)
So, by the application of Maclurin Series which can be expressed as:

Let examine f(x) = In(1+x), then find its derivatives;
f(x) = In(1+x)

f'(0) 
f ' ' (x) 
f ' ' (x) 
f ' ' '(x) 
f ' ' '(x) 
f ' ' ' '(x) 
f ' ' ' '(x) 
f ' ' ' ' ' (x) 
f ' ' ' ' ' (x) 
Now, the next process is to substitute the above values back into equation (1)



To estimate the value of In(1.4), let's replace x with 0.4


Therefore, from the above calculations, we will realize that the value of
as well as
which are less than 0.001
Hence, the estimate of In(1.4) to the term is
is said to be enough to justify our claim.
∴
The estimate of In(1.4) is the first five non-zero terms.