Ice Cream Scoops - In shops with lots of ice-cream flavors there are many different flavor combinations, even with only a 2-scoo
1 answer:
Answer:
The universal formula applicable for determining the necessary combinations of n ice cream flavors.
For 10 flavors of ice cream
Step-by-step explanation:
Let's denote V = Vanilla, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry
For 2 flavors of ice cream:
V, C
{V/V, V/C, C/C}
3 possible combinations
For 3 flavors of ice cream:
V, C, S
{V/V, V/C, V/S, C/S, C/C, S/S}
6 possible combinations
For 4 flavors of ice cream:
V, C, S, P
{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}
10 possible combinations
For 5 flavors of ice cream:
V, C, S, P, B
{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }
15 possible combinations
Thus, we derive a sequence of
3, 6, 10, 15...This sequence is recognized as the Triangular number series1 + 2 = 3
1 + 2 + 3 = 61 + 2 + 3 + 4 = 10
1 + 2 + 3 + 4 + 5 = 15The general formula for this sequence isUtilizing this formula allows us to predict the number of 2-scoop combinations from 10 flavors.Consequently, there are 55 varying combinations for a 2-scoop cone when selecting from 10 flavors.
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The CD will have a value of $2,729.09 after a duration of 10 years.Solution:
Initial investment (P) = $1500
Interest rate (r) = 6%
= 0.06
Time period (t) = 10 years
Compounded on a monthly basis
Number of compounding intervals per time period
n = 12
A = Total amount
Formula for compound interest:
The CD will have a value of $2,729.09 after a span of 10 years.
Answer:
Step-by-step explanation:
The given formula doesn't appear to match any of the answer choices.
W = (P/2) - L
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