The answer $1.72. you divide $24.50 by .07 and the answer comes out to $1.715 and then you round up and have 1.72
3x+5y=11 answer : 3x+5y-11=0
Step by step explanation:
3x+5y=11
Move the constant to the left
3x+5y-11=11-11
Eliminate the opposite
3x+5y=11
5y+8y
Step-by-step explanation:
Kim: 25
Stacy: t
Total: 57
Equation:
25+t=57
solve for t
t=57-32=32
Stacy made 32 necklaces
Answer: 0
Step-by-step explanation:
23.70/1.8 = 13.16666....
Rounding to the nearest hundred is 0, because 13 is less than 50.
Step-by-step explanation:
(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ. Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.
(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ
Divide.
Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)
Rewrite the second fraction using negative exponent.
Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹
Take the limit of both sides as n approaches infinity.
lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹
Substitute with φ.
φ = 1 + φ⁻¹
Solve.
φ² = φ + 1
φ² − φ − 1 = 0
φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)
φ = (1 ± √5) / 2
Since the ratio can't be negative:
φ = (1 + √5) / 2
