Kayla ordered a 5 lbs bag of starburst. 0.50 lbs of the bag is yellow. What percentage of the bag is NOT yellow?
1 answer:
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Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
Substituting the known values gives;
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333..
Answer:
k = - , k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2