Answer:
82 units
Step-by-step explanation:
7 x 3 = 21
21 x 2 = 42
7 x 2 = 14
14 x 2 = 28
2 x 3 = 6
6 x 2 = 12
42 + 28 + 12 = 82
Answer:
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Explanation:
Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:
First night: 1 penny = 2⁰
Second night: 1 × 2 pennies = 2¹
Third night: 2 × 2 = 2²
Fourth nigth: 2² × 2 = 2³
nth night: 2ⁿ⁻¹
You want 2ⁿ⁻¹ ≥ 2,000,000,000
Which you solve in this way:
- n-1 log (2) ≥ log (2,000,000,000)
- n - 1 ≥ log (2,000,000,000) / log (2)
Since n is number of days, it is an integer number, so n ≥ 32.
Hence, she will have a total of more than $ 2 billion after 32 days.
You can prove that by calculating 2³² = 2,147,483,648.
Use distrubutive property <em>a(b + c) = ab + ac</em>
6(5r - 4) - 2(r - 7s - 3)
= (6)(5r) + (6)(-4) + (-2)(r) + (-2)(-7s) + (-2)(-3)
= 30r - 24 - 2r + 14s + 6
= (30r - 2r) + 14s + (-24 + 6)
<h3>= 28r + 14s - 18</h3>
Answer:
216g³
Step-by-step explanation:
