7(-6) - 3
-42 -3
-45
Your answer is -45
A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)
The amount of sample that will remain after 4000 years is; 4.8357 mg
The number of years that it will take for only 17 mg of the sample to remain is; 1076 years
<h3>How to solve exponential decay function?</h3>
A) Using the model for radioactive decay;
m(t)= m₀e^(-rt)
where;
m₀ is initial mass
r is rate of growth
t is time
Thus, we are given;
m₀ = 27 mg
r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043
and so we have;
m(t) = 27e^(-0.00043t)
c) The amount that will remain after 4000 years is;
m(4000) = 27e^(-0.00043 * 4000)
m(4000) = 27 * 0.1791
m(4000) = 4.8357 mg
d) For 17 mg to remain;
17 = 27e^(-0.00043 * t)
17/27 = e^(-0.00043 * t)
In(17/27) = -0.00043 * t
-0.4626/-0.00043 = t
t = 1076 years
Read more about Exponential decay function at; brainly.com/question/27822382
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Answer:
m=3
Step-by-step explanation:
-4m+7= -5
Combine like terms.Put +7 on other side.
-4m= -5-7
-4m= -12
It's -4 times m = -12 right ?
So the answer is m=3 because m= -12/-4
Answer:
$699
Step-by-step explanation:
90.87 * 5 = 454.35
454.35 = 65%
/65 /65
6.99 = 1%
*100 *100
$699 = 100%
Total Cost = $699
A circle is 360 degrees.
So, 1/10 would be 36 degrees.
So, 3/10 is 36(3)=108 degrees.
108 degrees
