Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
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The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
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The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
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The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
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We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
11154/52= 214 1/2 is the answer to this question
Answer:
32 sq ft.
Step-by-step explanation:
<u>Answer</u>
8√2
<u>Explanation</u>
Simply: 4√2 + 7√2 - 3√2
Let √2 = x
4√2 + 7√2 - 3√2 = 4x + 7x - 3x
= 11x - 3x
= 8x
Substituting x with √2
4√2 + 7√2 - 3√2 = 8√2
V = length×width ×height
V = 9 × 2 × 3
V = 54 units cubed
