If you want to know... it's 24
Answer:
Step-by-step explanation:
You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.
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<h3>a)</h3>
Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.
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<h3>c)</h3>
For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...
Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r
We want to find n such that ...
Sn ≥ 1,000,000
1 × (2^n -1)/(2 -1) ≥ 1,000,000
2^n ≥ 1,000,001 . . . . add 1
n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm
n ≥ 19.93
The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.
Answer:
C.WXYZ equal to PNLM
Step-by-step explanation:
Look at the given statement, WZYX is equal to PMLN.
WZYX is equal to PMLN. W corresponds to P.
WZYX is equal to PMLN. Z corresponds to M.
WZYX is equal to PMLN. Y corresponds to L.
WZYX is equal to PMLN. X corresponds to N
Now look in the choices. The letters must correspond like they do above.
W must correspond to P.
WXYZ equal to P...
X must correspond to N.
WXYZ equal to PN...
Y must correspond to L.
WXYZ equal to PNL...
Z must correspond to M.
WXYZ equal to PNLM
Answer: C.WXYZ equal to PNLM
Answer:
-440, -4440, -44440, -444440, -4444440
Step-by-step explanation:
First, let's find values for x which start is a -2 and end with a 2.
-22
-222
-2222
-22222
-222222
Now we can find the y value by multiplying each term by 20.
-22 --> -440
-222 --> -4440
-2222 --> -44440
-22222 --> -444440
-222222 --> -4444440
This needs a graph to solve