Answer:
k = 10
Step-by-step explanation:
The sum of k terms of a geometric sequence with first term a1 and common ratio r is given by ...
... Sk = a1·(1 -r^k)/(1 -r)
For the given numbers, this is ...
... 118096 = 78732·(1 -(1/3)^k)/(1 -1/3)
Manipulating this to get the term containing k, we have
... 1 -(2/3)(118096/78732) = (1/3)^k
... 1/59049 = (1/3)^k
Taking logarithms, we get
... -log(59049) = -k·log(3)
... log(59049)/log(3) = k = 10
G(9,-3) being dilated by a scale factor of 1/3 is G'(3,-1) so D. All I did was divide the coordinates by 3 and there you go.
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you got it
<span>except keep going to get </span>
<span>x = ±√3025 </span>
<span>x = ± 55 </span>
<span>check: </span>
<span>275 , 55, 11 </span>
<span>is 55/275 = 11/55 ? YES </span>
<span>is -55/275 = 11/=55 ? YES</span>
Answer:
f(u) = 9/5
Step-by-step explanation:
u - 5 = -4(u - 1) Distribute on the right side
u - 5 = -4u + 4
+4u +4u Add 4u to both sides
5u - 5 = 4
+ 5 + 5 Add 5 to both sides
5u = 9 Divide both sides by 5
u = 9/5
Answer:
A=535.93
Step-by-step explanation:
A=P(1+r)^t
A=500[(1+0.07/4)]^4
A=535.93