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3 years ago

After subsituting what is the first step when evaluatingb 4y+9 over 7 when y=8

1 answer:

8 0

Well, after substituting, you write the value of y in place it, like this:
4(8)+9/7

Then solve it
32+9/7
(224+9)7
233/7

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What is the first quartile of the data displayed in this box-and-whisker plot?

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The first quartile is:
C. 99.5

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4 years ago

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Charlie is filling out a job application, and he needs to give the hourly wage of his last job as a manicurist. At that job, he

kvv77 [185]

Answer:

Since he is paid per manicure, it is piece rate

Step-by-step explanation:

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3 years ago

Find the value of the angle labeled as 2x - 5<br> 2x + 20<br> X + 10<br> 2X-5

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3 years ago

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3 years ago

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element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample

pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that $A(21) = 0.5A(0)$ . We use this to find r, the percentage rate of decay per year.

$A(t) = A(0)(1-r)^t$

$0.5A(0) = A(0)(1-r)^{21}$

$(1-r)^{21} = 0.5$

$\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}$

$1 - r = 0.5^{\frac{1}{21}}$

$1 - r = 0.9675$

$r = 1 - 0.9675 = 0.0325$

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that $A(0) = 80$

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 80(1-0.0325)^t$

$A(t) = 80(0.9675)^t$

The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

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3 years ago

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