Answer:
Just Between Friends
The percentage of consignors who receive a check for more than $370 is:
= 16%.
Step-by-step explanation:
Mean of consignor check, μ = $480
Standard deviation, σ = $110
Value of check received, x > $370
Solution: find the z-score to determine the percentage of consignors who receive a check for more than $370:
z = (x-μ)/σ
z= ($370 - $480)/$110
z = -$110/$110
z = -1.00
Percentage of consignors who receive a check for more than $370
= 0.15866
= 0.16
= 16%
Since
are in arithmetic progression,




and since
are in geometric progression,




Recall that


It follows that

so the left side is

Also recall that

so that the right side is

Solve for
.

Now, the numerator increases more slowly than the denominator, since


and for
,

This means we only need to check if the claim is true for any
.
doesn't work, since that makes
.
If
, then

If
, then

If
, then

There is only one value for which the claim is true,
.
Answer:
Step-by-step explanation:
Option 1:
4(m + 12) = 4m + 48 (not what we want)
Option 2:
6m - 2m + 12 = 4m + 12 (one of the right answers)
Option 3:
4(m + 3) = 4m + 12 (one of the right answers)
Option 4:
3m - m + 12 = 2m + 12 (not what we want)
Therefore the correct answers are Option 2 and Option 3.
Answer: Exponential table