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3 years ago

9

A bicycle has a listed price of 538.98 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sales

tax included.

1 answer:

JulijaS [17]3 years ago

6 0

Answer:

The total cost of the bicycle with sales tax included is $575.36115. But it can be rounded to about $575.40

Step-by-step explanation:

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zimovet [89]

Answer:

I got <em>-9x^3-10x^2+10x-2</em>

Step-by-step explanation:

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3 years ago

A student correctly write 0.15 as a percent. Of the student writes the answer in the form x % , what is the value of x

Fynjy0 [20]

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3 years ago

Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

<u>Algebra I</u>

Factoring

<u>Calculus</u>

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$ <u />

<u />

<u>Step 2: Integrate Pt. 1</u>

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

<u>Step 3: Identify Variables</u>

<em>Set up u-substitution for the arctan trig integration.</em>

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

<u>Step 4: Integrate Pt. 2</u>

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[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

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2 years ago

Three times the sum of a number and seven is greater than five times the number less thirteen

Vlad [161]

3x(d+7) < 5d-13 (I think it is

8 0

3 years ago

Please help with this question, giving brainliest

BartSMP [9]

Answer: B
Work:
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2 years ago