Answer:
D) $23,400
Step-by-step explanation:
His annual income would equal 52 x his weekly income + 12 x his monthly income = 52 x $235.23 + 12 x $935. 40= about $23,400.
USATestPrep
$2 is the cost of one hat because if you multiply 8 by 4 you get 32. Then subtract 32 from 46 and you get 14 which you divide by 7 and get 2.
Answer:
1. 1343 years
2. 9 hours
3. 39 years
Step-by-step explanation:
1. Given, half-life of carbon = 5730 years.
∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121
If N₀ = 100 then N = 85
Formula:- N = N₀*e^(-λt)
∴ 85 = 100 * e^(-0.000121t)
∴㏑(-0.85)=-0.000121t
∴ t = 1343 years
2. Given half-life of aspirin = 12 hours
λ = 0.693/12 = 0.5775
Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.
∴ 70 = 100 *e^(-0.05775t)
0.70 = e^(-0.05775t)
㏑(0.70) = -0.05775t
∴ t = 9 hours
3. The population of the birds as as A=A₀*e^(kt)
Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.
The population is 1400 when f = 0, And it is 1000 when f = 5
We can write the following equation :
1400 = 1000e^(5t).
∴1400/1000 = e^(5k)
∴ k = ㏑(1.4)/5
We need to find x such that 1400/100 = e^(xk)
14 = e^(xk)
∴ x = 39 years
It should be 19 because originally, it would be 910, but then add 16 more 0's, and 16 + 3 = 19 (and the three is from here -------^)!
Check this out ->:https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=91*10%5E17
and https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#safe=strict&q=91000000000...
They equal.
Answer: (-2,4)
When looking at a graph for a solution, look for the point of intersection. The solution will be the point where both lines cross. In this case, it is (-2,4)
Hope this helps comment below for more questions :)
