Kevin Reality Series Project

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Math Studies Sequence Project

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By: Kevin Mishkin

Equation: an=a1 * rn-1

an: last terma1: first termr: common ratio n: position

1)You borrowed 1,000 dollars from the bank. The interest rate is 5% annually how much will you owe the bank after 1,2,3 years.

2) What if you cant pay them back? Instead it takes you 20 years to pay them back, how much do you owe in the end?

1) The initial debt: 1,000 dollars. Common Ratio: 5% or/and .05 Equation: Un = U1 Rn-1

Year 1: 1,050 dollars For the remaining years I just continued

the sequence to get the amount of debt that is accumulating.

Year 2: 1,102.5 Year 3: 1,157.625

2) The initial debt: 1,000 dollars. Common Ratio: 5% or/and .05 Time that debt has been accumulating:

20 years Equation: U1(1-r n) / 1-r 1000 (1 - .05 n) / 1 - .05 Debt Accumulation: 1052.631 Total debt after 20 years: 2052.631

A plane is travelling at 900,000mph how much distance will you have traveled after the 4 hour?

After the 64 hours?

1) 900,000 *4 = 3600000 m 1) you will have traveld 3600,000 miles. 2) 900,000 * 64 = 57600000 2)You will have traveled 57600000 miles.

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