For finding the strength of the capsules after one year, we will use half-life formula. The formula is:
A = A₀ 
where, A= Final amount
A₀ = Initial amount
t= time elapsed
h= half-life
Here, in this problem A₀ = 10000 milligram, t= 1 year or 365 days
and h= 28 days
So, A = 10000 
⇒ A = 10000 
⇒ A = 1.187
So, the strength of the capsules after one year will be 1.187 milligrams.
Answer:
-1/6(-a+1)
Step-by-step explanation:
1. Factor out -1/6 from the expression: -1/6(4a-5a+1)
2. Collect the terms: -1/6(-a+1)
Final Answer: -1/6(-a+1)
So in 6 months (1/2yr) you earned $15.75 interest, if we double that we find the total interest you would gain for that year, 15.75x2= $31.5 total interest for that year.
To find the annual rate divide the interest gained by the amount deposited, 31.5/500 = 0.063% p.a.
I think that this quesion is missing some background, that is that Ms. Donaldson earned 907.10
So the 34.55 were deduced from this number, and the remaining amount was:
907.10-34.55=872.65
After this, further 28% were deduced, which means that 100-28=72% were left.
And this is:72%*872.55= 628.236 (which we round to 628.24!)
Answer:
y = 89 x = 123
Step-by-step explanation:
since they're both in standard form, its easier to do the process of elimination
x - y = 34
-x -y -212
------------------
-2y = -178
y = 89
now plug in y to any one of those two equations
x - y = 34
x - 89 = 34
x = 123
<em>to check:</em>
<em>x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
<em>1</em><em>2</em><em>3</em><em> </em><em>+</em><em> </em><em>8</em><em>9</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
<em>2</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
