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3 years ago

14

A customer wants to purchase a pair of shoes that cost $45 and the state sales tax is 7%.

1 answer:

Rasek [7]3 years ago

3 0

Answer:

$22.84

Step-by-step explanation:

The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.

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Mumz [18]

Answer:

$\sum^{\infty}_0 {(-3)^n}$

Step-by-step explanation:

Notice that the series: 1 - 3 + 9 - 27 +... clearly has powers of the factor 3 in its terms and it is also an alternate series (the terms alternate from positive to negative). The terms are positive for $a_0, a_2, a_4, ...$ (even terms) , while the odd terms $a_1, a_3, a_5, ...$ are negative. (so most likely there should be a factor (-1) in the common ratio.

We can then represent it with the following summation expression:

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3 years ago

PLEASE SHOW WORK

CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

$V = \dfrac{\pi}{3}r^2h$

Taking the derivative of V with respect to time, we get

$\dfrac{dV}{dt} = \dfrac{\pi}{3}\dfrac{d}{dt}(r^2h)$

$\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)$

Since r is always equal to h, we can set

$\dfrac{dr}{dt} = \dfrac{dh}{dt}$

so that our expression for dV/dt becomes

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Solving for dh/dt, we get

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Damm [24]

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telo118 [61]

Answer:

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