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3 years ago

What is the function?

Mathematics

1 answer:

aleksley [76]3 years ago

4 0

Answer:

Step-by-step explanation:

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Explain how to write and solve the equation.

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You find out how much money Sonja had before she paid by taking the $30 she had left and adding it to the $12.50 she paid. $30.00-$12.50 = $42.50

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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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In one day and a child five times the sum of the number of hours Brian traveled and 2. Together they traveled 20 hours. Find the

motikmotik

<span>Annie traveled 17 hours and Brian traveled 3 hours. 17+3=20. 3*5=15+2=17.</span>

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4 years ago

Hello help me please

Crank

Answer:

y = 1

x = -3

Step-by-step explanation:

9x + 2y = 3

-x - y = -12 (multiply second equation with 9)

9x + 2y = 3

-9x - 9y = - 108 (add these to up)

-7y = -105

y = 15 use this to find x

9x + 2y ➡ 9x + 30 = 3 ➡ 9x = -27 ➡ x = -3

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3 years ago

Apply the distributuve property to factor out the greatest commmon facto 32+<br>44

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4 is the greatest common factor of 32 and 44

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3 years ago

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