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3 years ago

TV has a listed price of 623.98 if the sales tax rate is 8.5 find the total cost of the TV with the sales tax included

Mathematics

1 answer:

Anastasy [175]3 years ago

4 0

Answer:

$677.02

Step-by-step explanation:

623.98 increase 8.5% =

623.98 × (1 + 8.5%) = 623.98 × (1 + 0.085) = 677.0183

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3 years ago

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

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$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

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4 0

3 years ago

Read 2 more answers

TV has a listed price of 623.98 if the sales tax rate is 8.5 find the total cost of the TV with the sales tax included​

TV has a listed price of 623.98 if the sales tax rate is 8.5 find the total cost of the TV with the sales tax included