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
Answer:
Ex: $12 is dollars .25 would be cents = $12.25
Step-by-step explanation:
Answer:
The surface area of the second cylinder is equal to 
Step-by-step explanation:
we know that
If two figures are similar then
the ratio of their surfaces areas is equal to the scale factor squared
Let
z-------> the scale factor
x------> the surface area of the smaller cylinder (second cylinder)
y-------> the surface area of the original cylinder (first cylinder)
so
Step 1
Find the scale factor
Step 2
Find the surface area of the second cylinder
we have
substitute and solve for x
-34.44 +49.44 = 15
The highest recorded temperature was 15 degrees.
Answer:
20 cups
Step-by-step explanation:
Michelle: 10 3/5 cups made
Leslie: 9 2/5 cups made
<u>Steps:</u>
<em>First, let's turn each number into decimal form.</em>
10 3/5 = 10.6
9 2/5 = 9.4
<em>Then, add</em>
9.4 + 10.6 = 20
<em>Conclusion</em>
They made 20 cups in all
Note:
Hope this helped :)
Have a nice day
Reply with any questions or concerns please :D
