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2 years ago

5. A salesman makes a salary of $350 per week. In addition, he makes 49

1 answer:

5 0

$\text{We have to find the salesman's total salary for the week}\\\\\text{We know that he makes a base price of \$350 a week}\\\\\text{We also know he makes 4\% in commission from SALES}\\\\\text{From the given information, it says that he sold \$1500 worth of stuff}\\\\\text{Lets find his commission. To find this, we would multiply 1500 by 0.04:}\\\\1500*0.04=60\\\\\text{He makes \$60 in commission}\\\\$

$\text{Now we need to find his total income for the week. To do this, add his}\\\text{salary and commission. Don't add how much he sells, he doesn't make}\\\text{money from that.}\\\\350+60=410\\\\\text{His income for the week was \$410}\\\\\boxed{\$410}$

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

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2 years ago

Can someone answer it

Troyanec [42]

Answer what? This question? Oh, I'm answering it right now. Did you have another question out? Well, I can't see it.

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2 years ago

Huixian needs to pack 171 pens, 63 pencil, and 27 erasers into identical bags so that each item is equally distributed among the

luda_lava [24]

Answer:

87 gift bags

Step-by-step explanation:

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2 years ago

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Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. Kami pays $30 for 6 yards of landscaping fabri

vlabodo [156]

Answer: the price of 1 yard of chicken wire is $2

Step-by-step explanation:

Let x represent the cost of one yard of landscaping fabric.

Let y represent the cost of one yard of chicken wire.

Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. This means that

3x + 6y = 24 - - - - - - - - - - 1

Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. This means that

6x + 3y = 30 - - - - - - - - -2

Multiplying equation 1 by 6 and equation 2 by 3, it becomes

18x + 36y = 144

18x + 9y = 90

Subtracting

27y = 54

y = 54/27 = 2

Substituting y = 2 into equation 1, it becomes

3x + 6×2 = 24

3x = 24 - 12 = 12

x = 12/3 = 4

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2 years ago

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Alice has 12 more trees in her garden than Stephen has. After Stephen planted 10 more trees and Alice dug out 4, together they h

Dafna1 [17]

Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

<u>At the beginning:</u>

Stephen = x trees

Alice = x + 12 trees

Alice = (x + 12) - 4 trees

Stephen = x + 10 trees

Total = 36

Then

$((x+12)-4)+(x+10)=36\\ \\(x+12-4)+(x+10)=36\\ \\(x+8)+(x+10)=36\\ \\x+8+x+10=36\\ \\2x+18=36\\ \\2x+18-18=36-18\\ \\2x=18\\ \\x=9$

Stephen - 9 trees

Alice - 9 + 12 = 21 trees

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2 years ago

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