Let
where we assume |r| < 1. Multiplying on both sides by r gives
and subtracting this from 
gives
As n → ∞, the exponential term will converge to 0, and the partial sums will converge to
Now, we're given
We must have |r| < 1 since both sums converge, so
Solving for r by substitution, we have
Recalling the difference of squares identity, we have
We've already confirmed r ≠ 1, so we can simplify this to
It follows that
and so the sum we want is
which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?
Formula for amount for compound interest:
Amount, A = P(1 + r/100)^n
Where r is rate, P is principal, and n is the number of years.
P = 2000, r = 5, n = t years.
A = 2000( 1 + 5/100)^t
A = 200(1+0.05)^t
A = 2000(1.05)^t
A(t) = 2000(1.05)^t
Answer:
a. number of boxes sold ≥ 50
b. 26 + x ≥ 50
Step-by-step explanation:
6 m.p.g if that's the type of question your referring to...
Answer:
The equivalent to -(-5.25) = 5.25
Step-by-step explanation:
Given
We need to determine the equivalent to -(-5.25)
some of the sign rules are:
+(+) = +
−(−) = +
+(−) = -
−(+) = -
Thus,
Applying the rule: -a(-a) = a
Therefore, the equivalent to -(-5.25) = 5.25
