Which of these is the same as 8/9 divided by 2/3?
2 answers:
Answer : The correct option is, (D) 8/9 x 3/2
Step-by-step explanation :
As we are given the expression:
÷
Now we have to determine the same expression as 8/9 divided by 2/3.
÷
This expression we can also written as:
×
That means, when we are reversing the sign then the adjacent fraction will also reverse.
From the given options we conclude that, the option D is the same as 8/9 divided by 2/3.
Hence, the correct option is, (D) 8/9 x 3/2
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Answer:
Sarah has to invest $502,958.58 today.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
She has to invest P today.
So
Sarah has to invest $502,958.58 today.
Answer:
Option D. 13122 is the answer.
Step-by-step explanation:
As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.
Sequence is 2, 6, 18 , 54, 162, 486.
and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.
Now we know that explicit formula of the sequence can be written as
where Tn is the nth term of the sequence.
a = first term
r = common ratio
n = number of the term
Now from this explicit formula we can find the 9th term of the sequence.
From the given table
a = 2, r = 3, n = 9
T9 = 13122
Therefore Option D. 13122 will be the answer.