2/3x - 12 for x = 18___
1 answer:
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9514 1404 393
Answer:
yes
Step-by-step explanation:
The tower is about 50.1 meters tall. The guidebook is correct.
__
The distance from the base of the tower to the angle vertex is ...
d1 = h/tan(46°)
d2 = d1 +50 = h/tan(27°)
Then the height of the tower is ...
h/tan(46°) +50 = h/tan(27°)
50 = h(cot(27°) - cot(46°))
h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692
h ≈ 50.1544 . . . meters
The tower is more than 50 meters high.
Apparently k=6. It doesn't say it in the question, but I'll assume that you had a mistype and forgot to say that the second term is 12.
Anyway,
The nth term of a geometric sequence is
. Thus, the 52nd term would be 
and the 50th term would be 
When you divide the two, the 2's would cancel out and k^49 would cancel out, leaving you with 1 on the bottom and k^2 on the top. As we said at the beginning, k=6, so our answer is just 6*6=36.
Anyway,
The nth term of a geometric sequence is
Answer:
37.84 years
Step-by-step explanation:
We apply the compound interest formula;
A = P(1+r)^n
In this case we have;
A = 11,900
P = 1,200
r = 6.25% p.a
We substitute these values into the above equation and solve for n, the number of years required.
11900 = 1200(1.0625)^n
9.91667 = 1.0625^n
n = 37.84 years
Answer:
1.5
1.5
Step-by-step explanation:
The steps are in the image above
