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2 years ago

14

A car and a motor bike are priced at $23440. If the value of the car is four times the value of the motor bike, how much is the

motor bike worth? Write the answer without the dollar sign and round to the nearest cents.

1 answer:

LenKa [72]2 years ago

6 0

x + y = 23440

x = 4y

y = ?

23440 / 5 = 4688

y = $4688

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<span>twice the sum of a number and seven is 8
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9. Determine how long it takes for 80% of the material to decay.

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Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

$A(t) = A(0)e^{-kt}$

In which:

k is the decay rate, as a decimal.

A(0) is the initial amount.

The half-life is of 8 days, hence $A(8) = 0.5A(0)$ , and this is used to find k.

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-8k}$

$e^{-8k} = 0.5$

$\ln{e^{-8k}} = \ln{0.5}$

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$k = -\frac{\ln{0.5}}{8}$

$k = 0.08664339757$

Hence:

$A(t) = A(0)e^{-0.08664339757t}$

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$0.2A(0) = A(0)e^{-0.08664339757t}$

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It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

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Answer:

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Step-by-step explanation:

Please, see the attached files.

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