The value of a is 80
Step-by-step explanation:
The distance of a point 
from the y-axis can be written as
because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point from the x-axis can be written as
Since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as
- The distance of point B (a,a) from the x-axis can be written as
Since 
.
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means
Therefore,
And solving for a,
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Answer:
301 acres
Step-by-step explanation:
43,000 acres of forest
0.7% is old-growth
0.7% = 0.007
43,000 * 0.007 = 301 acres
Answer:
look it up :)
Step-by-step explanation:
:)
Answer:
Interest rate of 7%.
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
We want to find t for which 
when 
. So
![\sqrt[10]{(1 + r)^10} = \sqrt[10]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%20%2B%20r%29%5E10%7D%20%3D%20%5Csqrt%5B10%5D%7B2%7D)
So a interest rate of 7%.
Hello,
Here in France we call length the greater side of a rectangle.
So:
Let a the greater side
b the shortest
a=b+13
a*b=1764
==>b*(b+13)=1764
==>b²+13b-1764=0
==>b=(-13-85)/2 to exclude
or (b=(-13+85)/2=36 and a=36+13=49)
P=2(a+b)=2(36+49)=170 (m)
Proof:
49-36=13
36*49=1764
