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2 years ago

Selena purchased some gifts for her nieces and nephews online. She bought 3 dolls each priced at $19.99 each

Mathematics

2 answers:

tia_tia [17]2 years ago

5 0

Answer:

C. $146.43

Step-by-step explanation:

enot [183]2 years ago

5 0

Answer:

C . $146.43

Step-by-step explanation:

lets use variables

dolls = d

remote cars = r

<h2><u>create an equation for the cost of dolls :</u></h2>

3 * 19.99 = <em>$59.97</em>

<h2><u>Create an equation for the cost of the remote cars</u></h2>

4 * 21.99 = $ 87.96

since there was a discount for each car bought, deduct from total cost

$87.96 - 4*3 =<em> $75.96</em>

<em />

now add the cost of the dolls and cars as well as the shipping cost :

59.97 + 75.96 + 10.5

= <u>$ 146.43</u>

<em />

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Answer:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 + cot(x) + tan(x) = 2

Multiply both sides of 1 + cot(x) + tan(x) = 2 by tan(x):

1 + tan(x) + tan^2(x) = 2 tan(x)

Subtract 2 tan(x) from both sides:

1 - tan(x) + tan^2(x) = 0

Subtract 1 from both sides:

tan^2(x) - tan(x) = -1

Add 1/4 to both sides:

1/4 - tan(x) + tan^2(x) = -3/4

Write the left hand side as a square:

(tan(x) - 1/2)^2 = -3/4

Take the square root of both sides:

tan(x) - 1/2 = (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

tan(x) = 1/2 + (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Take the inverse tangent of both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) = 1/2 - (i sqrt(3))/2

Take the inverse tangent of both sides:

Answer: x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

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3 years ago

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The variables x and y vary inversely. When y is 725, x is 20. What is x when y is 50?

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By definition the area of a rectangle is:
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Step-by-step explanation:

We are given the following in the question:

$p(x) = 0.1 e^{-0.1x}$

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