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2 years ago

Given E = I × R and P = E × I, select the formula that will solve for E when only R and P are known.

Mathematics

2 answers:

kobusy [5.1K]2 years ago

6 0

E =IR

P = EI

solve for I by dividing both sides by E

P/E = I

E = IR

substitute for I

E = (P/E) *R

Multiply both sides by E

E^2 = RP

take the square root of each side

E= sqrt (PR)

stiv31 [10]2 years ago

3 0

$E = \left\{(a,b) \mid a \in I \text{ and } b \in R \right\}$ , $P = \left\{(a,b) \mid a \in E \text{ and } b \in R \right\}$ but we cannot solve for the set $E$ because we are missing information.

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Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.

viktelen [127]

Answer:

a.) C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH b.) $170

Step-by-step explanation:

(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:

Marginal cost (MC) = change in total cost/change in quantity

Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:

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C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH

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2 years ago

Suppose a company borrows 15,000 on 1/1/14 at 10% interest rate for a one year term. The company makes interest payments every q

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Given that:

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2 years ago

If x and y are two positive real numbers such that x 2 +4y 2 =17 and xy =2, then find the value of x- 2y. a. 3 b. 4 c. 8 d. 9

Dafna11 [192]

Answer: The value of x- 2y is a. $\pm 3$ .

Step-by-step explanation:

Given: x and y are two positive real numbers such that $x^2+4y^2=17$ and $xy= 2$ .

Consider $(x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]$

$=x^2-4xy+4y^2$

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Put $x^2+4y^2=17$ and $xy= 2$ , we get

$(x-2y)^2=17-4(2)=17-8=9$

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$x-2y= \pm3$

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2 years ago