The following equation of parabola is given:
p(x)= - 5 x^2 + 240 x - 2475
where p(x) = y
This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:
y – k = a (x – h)^2
Where h and k are the vertex of the parabola. Therefore,
y = - 5 x^2 + 240 x - 2475
y = -5 (x^2 – 48 x + 495)
Completing the square:
y = -5 (x^2 - 48 x + 495 + _) - (-5)* _
Where the value in the blank _ is = -b/2
Since b = -48 therefore,
y = -5 (x^2 – 48 x + 495 + 81) + 405
y – 405 = -5 (x^2 – 48 x + 576)
y – 405 = -5 (x – 24)^2
Therefore the vertex is at points (24, 405).
The company should make 24 tables per day to attain maximum
profit.
Answer:
Bond Price = $97.4457408 million rounded off to $97.45 million
Explanation:
To calculate the price of the bond today, we will use the formula for the price of the bond. We assume that the interest rate provided is stated in annual terms. As the bond is an annual bond, the coupon payment, number of periods and annual YTM will be,
Coupon Payment (C) = 113 million * 0.05 = 5.65 million
Total periods (n) = 30
r or YTM = 0.06 or 6%
The formula to calculate the price of the bonds today is attached.
Bond Price =5.65 * [( 1 - (1+0.06)^-30) / 0.06] + 113 / (1+0.06)^30
Bond Price = $97.4457408 million rounded off to $97.45 million
Answer: The correct answer is "b. Unprotected lands exist inside federal parks.".
Explanation: The statement "Unprotected lands exist inside federal parks" is NOT TRUE concerning the usage of public land because there are no unprotected lands within federal parks.
<span>To find the amount of FICA taxes one has to contribute, there are two values needed. First, the Social Security tax rate is 0.062 (6.2%) on the first $127,200 in wages, and then the Medicare tax is 0.0145 (1.45%) on the first $200,000 in income. Adding these two figures gives the total FICA taxes. 6.2 percent of $27,000 is $1,674, and 1.45 percent of $27,000 is $391.50. Adding these two values together (1674 + 391) gives a total of $2,065, or choice (A).</span>
Answer:
Hammer would prevail against Kay based on:_______.
A. Unilateral contract.
Explanation:
A unilateral contract is a contract created by an offer that can only be accepted by performance. To form the contract, the party making the offer (called the “offeror”) makes a promise in exchange for the act of performance by the other party.
in relation to the case in the contract, Hammer had carried out the duties expected of him thus making the contract valid under a unilateral contract.
since in a unilateral contract, the offer can only be accepted when the other party completely performs the requested action.
Hence Hammer would prevail against Kay based on Unilateral contract.
