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spayn [35]
3 years ago
8

PLEASE ANSWER THIS QUESTION, ITS FOR MY EXAMS: Sandy Brooke purchased a sweater for $15.67, a pair of socks for $2.13, and a bra

celet for $6.78. For all purchases she must pay the state sales tax of 7.5% and the county tax of 0.5%. What is the tax on her purchases? What is her total purchase price?
Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0
$15.67+$2.13+$6.78=$24.58
$24.58x7.5%=$26.42
0.5% of $24.58=0.1229 or 13cents
$26.42+$0.13=$26.55
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Given:

\dfrac{dr}{dt}=1.4\text{ in/s}

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To find:

The rate of change in volume at r=120\text{ in. and }175\text{ in.}

Solution:

We know that, volume of a cone is

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Differentiate with respect to t.

\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]

Substitute the given values.

\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560

\dfrac{dV}{dt}=29920

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egoroff_w [7]

Answer:

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Step-by-step explanation:

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