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2 years ago

6

Eric’s average income for the first 4 months of the year is $1,450.25, what must be his average income for the remaining 8 month

s so that his average income for the year is $1,780.75?

1 answer:

netineya [11]2 years ago

6 0

Too harddd sorryyybxnskzmskndjwjnekkks

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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:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

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:

$m(300) \approx 8.842\,g$

4 0

3 years ago

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What is the result converting 81 inches to feet?

scoundrel [369]

1 foot is 12 inches. So just divide 81 by 12.
81/12 = 6.75
So your answer is 6.75 feet.

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3 years ago

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Factorise 3(x-y)^2 - 2(x-y)

a_sh-v [17]

Answer:

4xy

Step-by-step explanation:

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3 years ago

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C/8 = 7/2 What does c equal? please help me I don't understand these problems that well.

bonufazy [111]

Answer:

c = 28

Step-by-step explanation:

Solve for c by simplifying both sides of the equation, then isolating the variable.

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2 years ago

If y varies directly with x, and y=12 when x=3. Find y when x=13

Lunna [17]

Answer: y = 52
Explanation:
13/3=4 1/3
4 1/3 times 12 = 52

Ratio explanation
(Times 4 1/3) 12:3 (divided by 4 1/3
New Ratio- 52:13

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3 years ago