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ira [324]
3 years ago
5

Leroy opened a savings account 18 years ago with a deposit of 2,651.43 the account has an interest rate of 2.8% compounded twice

a year how much interest has Leroy earned ?
A) 4,373.68
B) 2,725.67
C) 4,358.69
D) 1,722.25
Mathematics
1 answer:
Ahat [919]3 years ago
4 0
The correct answer is b
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\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8

Step-by-step explanation:

The sum you are trying to understand is this.

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}

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\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n        and   \big|\frac{-1}{15} \big| = \frac{1}{15} < 1

Therefore we can use the formula and

\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n =  \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16  = 15/8

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3 years ago
I need help with this please
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Number 2




Step by step:


:)
3 0
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