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slava [35]
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?​
Mathematics
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
Read 2 more answers
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 
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8 0
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:

8 0
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.

5 0
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
3 0
3 years ago
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