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4 years ago

A person's hourly pay rate, r, is found by dividing the total amount

Mathematics

1 answer:

marishachu [46]4 years ago

4 0

Translating the words into formula, we have

$r = \dfrac{p}{w}$

In fact, we have that the pay rate is the total payment divided by the number of hours worked.

We can solve this formula for w in two steps: starting from the formula above, multiply both sides by w:

$rw = p$

And then divide both sides by r:

$w = \dfrac{p}{r}$

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Q=p(r+s) solve for p

Reil [10]

Q = p(r + s)
Use the distributive property
Q = pr + ps
Q = p x r + p x s
Q = p x p + r x s
Q = p^2 + rs
Subtract rs from both sides
Q - rs = p^2
Square root both sides
sqrt Q - rs = p

3 0

3 years ago

Read 2 more answers

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Eduardwww [97]

I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53

Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11

Therefore, <span>the maximum average annual income, in dollars, a lawyer can earn</span> is $567,794

8 0

4 years ago

What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8

mariarad [96]

To solve the given equation, w need to review some rules:
$(1) \ ln \ e = 1 \\ 
(2) \ ln \ b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \ \frac{a}{b} \\$

The given equation is :
$ln \ e^{ln \ x} + ln \ e^{ln \ x^{2}} = 2 \ ln \ 8$
$ln \ x * ln \ e + ln \ x^{2} * ln \ e = 2 \ ln \ 8$ ⇒⇒⇒⇒ rule (2)
$ln \ x + ln \ x^{2} = ln \ 8^{2}$ ⇒⇒⇒⇒ rule (1) and rule (2)

$ln \ ( x* x^{2} ) = ln \ 64$ ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

$x^{3} = 64 = 4^{3}$
∴ x = 4

So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4

5 0

3 years ago

Read 2 more answers

(x^2+3x+1)(x^2-2x+5)

deff fn [24]

Answer:

x^4 + x^3 + 13x + 5

Step-by-step explanation:

5 0

3 years ago

Delphine has to place 64 bottles of water on a banquet table. it must have a way to fill a rectangular. what are the possible ar

tangare [24]

Answer:

Since $64= 2^6$ , you have the following arrangements.

Optional: $64 \times 1$ (and it's mirror version $1 \times 64$ , if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

$32 \times 2$ and it's mirror $2 \times 32$ ;

$16 \times 4$ and it's mirror $4 \times 16$ ;

Optional: $8 \times 8$ . Since a square is a rectangle with extra limitations.

6 0

2 years ago