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:
2000 because you got to subtract
Answer:
They would need to sell more than or equal to 140 boxes of cookies.
Step-by-step explanation:
The equation would be
2.50t >= 350
-------- -------
2.50 2.50
t >= 140
<h3>The formula that correctly relates H and L is H = L + 14.8</h3><h3>The high temperature is 83.7 degrees</h3>
<em><u>Solution:</u></em>
Let H represent the high temperature
Let L represent the low temperature
Given that,
<em><u>The coldest temperature in the city today was 14.8 degrees (Fahrenheit) lower than the hottest temperature</u></em>
L = H - 14.8
Rearrange,
H = L + 14.8
<em><u>If the low temperature was 68.9 degrees, what was the high temperature?</u></em>
L = 68.9
Then,
H = 68.9 + 14.8
H = 83.7
Thus the high temperature is 83.7 degrees
