First we need to find the distance from G to A, or the length of segment GA
For now we'll call this x since it's unknown. This value x adds to the other three sides of the figure to get the perimeter to be 172 inches (given)
So,
EG + GA + AM + ME = perimeter
56 + x + 56 + 35 = 172
x+147 = 172
x+147-147 = 172-147 .... subtract 147 from both sides
x = 25
So segment GA is 25 inches
We'll use this to find the length of segment G'A' which corresponds to GA
The other horizontal sides EM and E'M' also correspond, so we'll pair these sides up and form the proportion below
(GA)/(G'A') = (EM)/(E'M')
which turns into this
25/y = 35/14
when we use y in place of G'A'. Like x, y is unknown at first until we solve for it. Let's isolate y
25/y = 35/14
25*14 = y*35 .... cross multiply
350 = 35y
35y = 350
35y/35 = 350/35 .... divide both sides by 35
y = 10
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<h3>Final Answer: The length of G'A' is 10 inches</h3>
We know the equation will be 3(2)^t, so now we need to find the amount of months it will take.
3(2)^9 = 1536
3(2)^11 = 6144
The correct answer is D.
9514 1404 393
Answer:
A) AS = 60
B) WE = 20
C) EN = 25
D) AR+RS-AS = 30
Step-by-step explanation:
Each midsegment is half the length of the parallel side. Each side is twice the length of the parallel midsegment.
A) AS = 2(WN) = 2(30) = 60
B) WE = RS/2 = 40/2 = 20
C) EN = AR/2 = 50/2 = 25
D) AR +RS -AS = 50 +40 -60 = 30
Answer:
It'll take 10.6638 years to double his money.
Step-by-step explanation:
Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:
5600 = 2800*e^(0.065*t)
2800*e^(0.065*t) = 5600
e^(0.065*t) = 5600/2800
e^(0.065*t) = 2
ln(e^(0.065*t)) = ln(2)
0.065*t = ln(2)
t = ln(2)/0.065 = 10.6638 years
It'll take 10.6638 years to double his money.
