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Answer:
Step-by-step explanation:
The general formula for continuous exponential growth is A=A0•ert, where A0 is the initial amount, t is the elapsed time, and r is the rate of growth or decay. For this problem, r=0.005, so the formula is A=A0•e0.005t.
Since we want to know how long it takes of the amount to be 275% of the original amount, we can state that A=2.75A0. Substituting that into our formula gives us 2.75A0=A0•e0.005t. Dividing by A0 yields 2.75=e0.005t.
At this point we need to take the natural logarithm of both sides:
ln(2.75)=ln(e0005t)
ln(2.75)=0.005t
t=ln(2.75)/0.005, which is approximately equal to 202.3
We round up to 203 years.
Answer:
Perimeter=
Step-by-step explanation:
Given:
length of the rectangle= 
Width of the rectangle= 
Perimeter of a rectangle= 2(length+width)
Perimeter 
So, the expression of the perimeter of given rectangle is:

The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where t<span>he </span>denominator<span> is the bottom number in a fraction.
</span>We should find the lowest common denominator of (p+3)/(p^2+7p+10) and <span>(p+5)/(p^2+5p+6).
</span><span>p^2+7p+10 can be written as a product: (p+5)(p+2)
</span>p^2+5p+6 <span>can be written as a product: (p+3)(p+2)
</span>So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:<span>(p + 5)(p + 2)(p + 3)
Solution C.</span>
Answer:
5:1
10:2
100:20
Step-by-step explanation: