Answer:
t = 3c - 5
Step-by-step explanation:
The relation between c and t is linear as the increase of the value of t is uniform for each unit increase in the value of c.
Now, any two points on the graph of the t = f(c) equation are sufficient to determine the equation.
Let the points are (2,1) and (3,4).
So, using two points formula of straight line we get the equation is
⇒ t - 4 = 3(c - 3)
⇒ t - 4 = 3c - 9
⇒ t = 3c - 5 (Answer)
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.
__
<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.
__
<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:
24
Step-by-step explanation:
gcf for that is 24 I think
Answer:
.......
Step-by-step explanation: