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d1i1m1o1n [39]
2 years ago
5

Rufus invest 10,000 in a savings account that pays 3.5 simple interest each year. If Rufus makes no withdrawal or deposits to th

e account how much money will be in the account after 7 years ?
Mathematics
1 answer:
IgorC [24]2 years ago
4 0

Answer:

$1272.28

Step-by-step explanation:

Our equation is

p*(1+x)^{t} , with p being the starting amount, x being the interest rate, and t being the time. Plug our variables in to get

1000*(1+0.035)^{7} = around 1272.28

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Step-by-step explanation:

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3 years ago
Ice Cream Scoops - In shops with lots of ice-cream flavors there are many different flavor combinations, even with only a 2-scoo
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Answer:

The general formula that can be used to find the required combinations for n flavor ice-cream.

N_n = \frac{n(n+1)}{2}

For 10 ice-cream flavors

N_{10} = \frac{10(10+1)}{2}

N_{10} = 55

Step-by-step explanation:

Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry

2 ice-cream flavor:

V, C

{V/V, V/C, C/C}

3 possible combinations

3 ice-cream flavor:

V, C, S

{V/V, V/C, V/S, C/S, C/C, S/S}

6 possible combinations

4 ice-cream flavor:

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

5 ice-cream flavor:

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

So we have a series of

3, 6, 10, 15...

This series is known as Triangular number series

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

The general formula for this series is

N_n = \frac{n(n+1)}{2}

Using the above formula we can predict the number of 2-scoop combinations with 10 flavors.

N_{10} = \frac{10(10+1)}{2}

N_{10} = 55

Therefore, there are 55 different combinations of 2-scoop  with 10 flavors.

5 0
3 years ago
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