Answer:
w = 12
Step-by-step explanation:
2(4w-1)=-10(w-3)+4
2*4w + 2*-1 = (10*w + 10*-3) + 4
8w - 2 = 10w - 30 + 4
8w - 2 = 10w - 26
26 - 2 = 10w - 8w
24 = 2w
w = 24/2
w = 12
Check:
2((4*12)-1) = 10(12-3) + 4
2(48-1) = 10(9) + 4
2*47 = 90 + 4 = 94
 
        
                    
             
        
        
        
Answer:
106.63%. 
Step-by-step explanation:   
We have been given that at the end of 2005, this price was $513. At the end of 2015, it was $1060.
To find the percentage of the price per ounce of gold increase we will use % increase formula.
 
Let us substitute our given values in above formula.

 


Therefore, the price of per ounce of gold increased by 106.63%.
 
        
             
        
        
        
answer is C
Step-by-step explanation:
i got it right and it looked like no one would help you so
 
        
             
        
        
        
That equals 27 hope this helps
        
             
        
        
        
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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