Lucy needs to buy some organic apples, and her grocery store is having a sale on them. If she buys 3 or fewer pounds of apples,
2 answers:
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Answer:
34
Step-by-step explanation:
Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.
The general formula of that geometric sequence will be: t = 1 + 2^(n-1)
We need to find the value of n when t will be over 5,000,000,000.
So, the equation becomes:
5,000,000,001 = 1 + 2^(n-1)
(n-1) * log(2) = log(5,000,000,000)
n-1 = log(5,000,000,000) / log(2)
n-1 = 22.25
n = 33.25
Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.
Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :
We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by
Now, from equations (ii) and (iii), we have
Substituting the value of y and z from equations (iv) and (v) in equation (i), we get
From equations (iv) and (v), we get
Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.